Which statement best describes the expression 2 + 3 = y
The sum of 2 and the quotient of 3 and y
O The sum of 2 and the quotient of y and 3
O The quotient of y and the sum of 2 and 3
O The quotient of the sum of 2 and 3, and y

Answers

Answer 1

Answer:

The sum of 2 and the quotient of 3 and y

Step-by-step explanation:

Given:

2 + 3 ÷ y

According to BODMAS

Bracket

Of

Division

Multiplication

Addition

Subtraction

Division comes first

2 + 3/y

The sum of 2 and the quotient of 3 and y


Related Questions

f and g are functions such that f(x) = 3x^2 , g(x) = 2x^3

Answers

Answer:

Please provide a question to be answered.

Mason is multiplying 3 x 5 x 0.1 x 0.1 what demical multiplication problem is he solving

Answers

Answer:

The answer is 0.15

Step-by-step explanation:

3 × 5 × (0.1) × (0.1)

15 × (0.01) = 0.15

Thus, The answer is 0.15

-TheUnknownScientist 72

Answer: 0.15

Step-by-step explanation:

(3 x 5) x (0.1 x 0.1)

=(15) x (0.01)

Thus, =0.15

You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.

Answers

Answer: The maximum distance is 6 km

Step-by-step explanation:Let

d-----> represent the distance in kilometer

we know that

------> inequality that represent the situation

Solve for d

Hdshsshshshhsshdhdhd

8. Sherry is going to the top of the wheelchair ramp, as shown in the diagram below.
(12.4)
(0,0) 1 2 3 4
7 8 9 10 11 12 13 14
What is the approximate total distance Sherry travels while she is on the ramp?
Round answer to the nearest tenth.
Record your answer and fill in the bubbles on your answer document.

8. Sherry is going to the top of the wheelchair ramp, as shown in the diagram below.(12.4)(0,0) 1 2 3

Answers

Answer:

12.7 units

Step-by-step explanation:

Formula to get the distance between the two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

From the picture attached,

Sherry is at the origin(0, 0) and going to the top (12, 4)

Distance between these points will be,

d = \(\sqrt{(12-0)^2+(4-0)^2}\)

d = \(\sqrt{160}\)

d = \(4\sqrt{10}\)

  ≈ 12.7 units

Therefore, Sherry has to travel 12.7 units on the ramp.

find the value of x,
de=5

find the value of x,de=5

Answers

The value of x is 10.

What is Midsegment of a Triangle?

Midsegment of a triangle is defined as the line segment joining the midpoints of two sides of a triangle.

Every triangle will have three mid segments.

Given a triangle ABC.

Given the length of the midsegment DE = 5.

By the "Triangle Mid Segment Theorem", any midsegment of a triangle connecting two sides is parallel to the third side and the length is half of the length of the third side.

DE is the mid segment.

AB is the parallel side to DE.

DE = AB / 2

5 = x / 2

x = 10

Hence the length of the third side is 10.

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A four-part spinner is spun once. spinner with four parts labeled q, r, s, and t list the sample space for the experiment. s = {q, r, r, t} s = {q, r, s, t} s = {r, a, t} s = {s, q, q}

Answers

The sample space for the experiment of spinning a four-part spinner is the set of all possible outcomes of the experiment.

In this case, the sample space would be: s = {q, r, s, t}

This means that the possible outcomes of the experiment are q, r, s, and t. Each of these outcomes is equally likely to occur when the spinner is spun.

Option s = {q, r, r, t} is incorrect because it includes two occurrences of the outcome r, which is not possible in this experiment.

Option s = {r, a, t} is incorrect because it includes the outcome a, which is not part of the sample space.

Option s = {s, q, q} is incorrect because it includes two occurrences of the outcome q, which is not possible in this experiment.

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a large school surveys 100 people by taking random samples of 10 teachers and 90 students. what type of sample is this

Answers

Answer:

Stratified Sampling

Step-by-step explanation:

Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.

To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).

Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.

I hope this helped!

4.74 do you own a tablet? a study20 conducted in june 2015 examines ownership of tablet computers by us adults. a random sample of 959 people were surveyed, and we are told that 197 of the 455 men own a tablet and 235 of the 504 women own a tablet. we want to test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women. state the null and alternative hypotheses, and define the parameters. give the notation and value of the sample statistic. in the sample, which group has higher tablet ownership: men or women? use statkey or other technology to find the p-value.

Answers

Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = \(\frac{x_{1}+x_{2} }{n_{1}+n_{2} }\)= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = \(\frac{x_{1} }{n_{1} }\)= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = \(\frac{x_{2} }{n_{2} }\) = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

What is Null hypothesis?

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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4.74 do you own a tablet? a study20 conducted in june 2015 examines ownership of tablet computers by

I WILL GIVE 25 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

I WILL GIVE 25 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

Answers

Answer: The answer is b

Step-by-step explanation:  Simplify and expand it to determine it

if f(x)=2x^2-5, then what is the remainder when f(x) is diode by x-1

Answers

The first method is where you divide your polynomial by the divisor. Second is the quick and easy way where you just substitute the value for x and get the remainder. Hope it helps
if f(x)=2x^2-5, then what is the remainder when f(x) is diode by x-1

After performing division, the remainder obtained will be equal to -7.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given equation for division in the question,

2x² - 5 is divided by x - 1.

x - 1) 2x² - 5 ( 2x - 2

       2x² - 2x

             = -2x - 5

                -2x + 2

                       = -7

So, the quotient obtained is 2x - 2 and the remainder is -7.

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On a map, 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5 inches on the map?
StartFraction 3 over 50 EndFraction = StartFraction x over 5 EndFraction
StartFraction 3 over 50 EndFraction = StartFraction 5 over x EndFraction
StartFraction 3 over x EndFraction = StartFraction 50 over 5 EndFraction
StartFraction x over 3 EndFraction = StartFraction 50 over 5 EndFraction

its b btw

Answers

Answer:

3/50

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

i took the assignment<3

15. Determine the zeros for and the end behavior of f(x) = x(x − 4)(x + 2)^4

Answers

The zeros for the function f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2.

To find the zeros of the function f(x), we set each factor equal to zero and solve for x. Therefore, we have x = 0, x = 4, and x = -2 as the zeros.

The end behavior of the function can be determined by analyzing the highest power of x in the equation, which is x^6. Since the power of x is even, the graph of the function is symmetric about the y-axis.

As x approaches positive infinity, the value of x^6 increases without bound, resulting in f(x) approaching positive infinity.

Similarly, as x approaches negative infinity, x^6 also increases without bound, leading to f(x) approaching positive infinity.

In summary, the zeros for f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2. The end behavior of the function is that as x approaches positive or negative infinity, f(x) approaches positive infinity.

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HELP PLEASE!
Find the equation of the line.
Use exact numbers.
y=___x+____

HELP PLEASE!Find the equation of the line.Use exact numbers.y=___x+____

Answers

Answer:

slope: 3

y-intercept: 3

Step-by-step explanation:

y=3x+3

Hope this helps :) Have a good day!!!!

25% part (b) what is the angle, in degrees, of the compass direction of a line connecting your starting point to your final position measured south of west?

Answers

The angle, in degrees, of the compass direction of a line connecting will be 53.9 degrees

Your entire distance from the beginning location is your hypotenuse.

We employ the hypotenuse formula because...

The Pythagoras theorem can be used to determine the length of the hypotenuse in a right triangle. According to the theory, the hypotenuse's square is equal to the sum of its two other sides' squares.

R2=A2+B2

R2=17.52+242R2

=306.25+576

R=√882.25

=29.7 meters

However, the assertion that R=A + B is incorrect (the assertion on the figure is FALSE!).

Your direction is northwest.

Now use trigonometry:

sinθ=B/R

sinθ=24/29.70

=0.808

θ=53.9 degrees. This is your angle.

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Help Asap 15points pic below

Help Asap 15points pic below

Answers

Answer:

\(\frac{1}{r^{10} }\)

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) ( with n > m )

= \(\frac{1}{a^{(n-m)} }\)

Then

\(\frac{r^{2} }{r^{12} }\)

= \(\frac{1}{r^{(12-2)} }\)

= \(\frac{1}{r^{10} }\)

help asap plsssssss ​

help asap plsssssss

Answers

Answer:

B.) Associative Property of Addition

Step-by-step explanation:

This is because none of the numbers change places the only things that move are the parenthesis which correspond with the associative property.

evaluate 1 1/3 - 2 1/6​

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

1) Convert 2 1/6 into improper fraction

2) Find the LCM which is 6

3) Subtract like a normal fraction

Answer:

-5/6

Step-by-step explanation:

=1×3+1/3 - 2×6+1/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 = -15/18 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 = -15/18 = -5/6

Find the general solution of the given differential equation.x (dy/dx) + 6y = x3 − xy(x) = ?

Answers

Main Answer:The general solution of the given differential equation is:

y = ±A × e^[(1/18)x^3 - (1/6)xy]

Supporting Question and Answer:

How can we rearrange the given differential equation to separate variables?

We can rearrange the equation by moving all terms involving y to one side and terms involving x to the other side, resulting in x(dy/dx) + xy = x^3 - 6y.

Body of the Solution:To find the general solution of the given differential equation, we'll solve it step by step. The differential equation is:

x(dy/dx) + 6y = x^3 - xy

First, let's make a substitution to simplify the equation. Divide both sides of the equation by x:

(dy/dx) + (6/x)y = x^2 - y

Next, we'll use the integrating factor method. The integrating factor is given by the exponential of the integral of (6/x) dx:

Integrating factor (IF) = e^(∫(6/x) dx) = e^(6 ln|x|) = e^(ln|x|^6) = |x|^6

|x|^6(dy/dx) + (6|x|^5)y = |x|^6(x^2 - y)

Now, we can rewrite the left side of the equation as the derivative of the product y|x|^6:

d/dx(y|x|^6) = |x|^6(x^2 - y)

To evaluate the integral, we integrate both sides with respect to x:

∫d/dx(y|x|^6) dx = ∫|x|^6(x^2 - y) dx

Integrating the left side gives us:

y|x|^6 = ∫|x|^6(x^2 - y) dx

To evaluate the integral on the right side, we can use integration by parts. Let's set u = |x|^6 and dv = (x^2 - y) dx, then differentiate u and integrate dv:

du/dx = 6|x|^5 dx, v = (1/3)x^3 - yx

Applying the integration by parts formula ∫u dv = uv - ∫v du, we have:

∫|x|^6(x^2 - y) dx = (1/3)|x|^6 x^3 - ∫(1/3)x^3 (6|x|^5) dx + ∫(1/3)y (6|x|^5) dx

Simplifying the expression further:

(1/3)|x|^9 - 2∫x^3 |x|^5 dx + 2∫y|x|^5 dx

= (1/3)|x|^9 - 2∫|x|^8 x dx + 2∫y|x|^5 dx

= (1/3)|x|^9 - 2(1/9)|x|^9 + 2∫y|x|^5 dx

= (1/3 - 2/9)|x|^9 + 2∫y|x|^5 dx

= (3/9 - 2/9)|x|^9 + 2∫y|x|^5 dx

= (1/9)|x|^9 + 2∫y|x|^5 dx

Now, we can rewrite the integral in terms of y:

(1/9)|x|^9 + 2∫y|x|^5 dx = (1/9)|x|^9 + 2∫y(x^6)(|x|^3 dx)

= (1/9)|x|^9 + 2∫y(x^6)(x^3 dx)

= (1/9)|x|^9 + 2∫y x^9 dx

Integrating ∫y x^9 dx gives us:

∫y x^9 dx = (1/10)y x^10 + C

Therefore, the integral becomes:

(1/9)|x|^9 + 2∫y x^9 dx = (1/9)|x|^9 + (2/10)y x^10 + C

Now, substitute back the original variable notation |x| with x since the absolute value can be omitted when we square x:

(1/9)x^9 + (1/5)yx^10 + C

This expression represents the indefinite integral of the right side of the differential equation.However, this is not the correct form of the general solution.

To find the correct general solution, we need to integrate the left side of the equation as well. Let's continue from the point where we obtained:

∫(dy/y) = ∫[(x^3 - xy)/(6x)]dx

Integrating both sides:

ln|y| = (1/18)x^3 - (1/6)xy + C

Exponentiating both sides:

|y| = e^[(1/18)x^3 - (1/6)xy + C]

Since e^C is a positive constant, we can replace |y| with a positive constant A:

y = ±A × e^[(1/18)x^3 - (1/6)xy]

Final Answer:Therefore, the correct general solution of the given differential equation is:

y = ±A × e^[(1/18)x^3 - (1/6)xy];where A is an arbitrary constant

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The correct general solution of the given differential equation is: y = ±A × \(e^{[(1/18)x^3 - (1/6)xy]}\); where A is an arbitrary constant

How can we rearrange the given differential equation to separate variables?

We can rearrange the equation by moving all terms involving y to one side and terms involving x to the other side, resulting in x(dy/dx) + xy = \(x^3\) - 6y.

To find the general solution of the given differential equation, we'll solve it step by step. The differential equation is:

x(dy/dx) + 6y = \(x^3\) - xy

First, let's make a substitution to simplify the equation. Divide both sides of the equation by x:

(dy/dx) + (6/x)y = \(x^2\) - y

Next, we'll use the integrating factor method. The integrating factor is given by the exponential of the integral of (6/x) dx:

Integrating factor (IF) = \(e^{(\int(6/x) dx)\) =\(e^{(6 ln|x|)\) = \(e^{(ln|x|^6)\)= |x|^6

|x\(|^6\)(dy/dx) + (6|\(x|^5\))y =\(|x|^{6(x^2 - y)\)

Now, we can rewrite the left side of the equation as the derivative of the product \(y|x|^6\):

d/dx\((y|x|^6\)) =\(|x|^6\)(\(x^2\) - y)

To evaluate the integral, we integrate both sides with respect to x:

∫d/dx(y|x\(|^6\)) dx = ∫|x\(|^6(x^2 - y)\) dx

Integrating the left side gives us:

\(y|x|^6\) = ∫|x\(|^6(x^2 - y)\)dx

To evaluate the integral on the right side, we can use integration by parts. Let's set u = |x|^6 and dv = (x^2 - y) dx, then differentiate u and integrate dv:

du/dx = 6|x\(|^5\)dx, v = (1/3)\(x^3\)- yx

Applying the integration by parts formula ∫u dv = uv - ∫v du, we have:

∫|x\(|^6(x^2\) - y) dx = (1/3)|x\(|^6 x^3\)- ∫(1/3)\(x^3 (6|x|^5\)) dx + ∫(1/3)y (6|x\(|^5\)) dx

Simplifying the expression further:

(1/3)|x\(|^9\) - 2∫\(x^3\) |x\(|^5\) dx + 2∫y|x\(|^5\) dx

= (1/3)|x|^9 - 2∫|x|^8 x dx + 2∫y|x|^5 dx

= (1/3)|x|^9 - 2(1/9)|x|^9 + 2∫y|x|^5 dx

= (1/3 - 2/9)|x|^9 + 2∫y|x|^5 dx

= (3/9 - 2/9)|x|^9 + 2∫y|x|^5 dx

= (1/9)|x|^9 + 2∫y|x|^5 dx

Now, we can rewrite the integral in terms of y:

(1/9)|x|^9 + 2∫y|x|^5 dx = (1/9)|x|^9 + 2∫y(x^6)(|x|^3 dx)

= (1/9)|x|^9 + 2∫y(x^6)(x^3 dx)

= (1/9)|x|^9 + 2∫y \(x^9\) dx

Integrating ∫y \(x^9\) dx gives us:

∫y x^9 dx = (1/10)y x^10 + C

Therefore, the integral becomes:

(1/9)|x\(|^9\)+ 2∫y \(x^9\) dx = (1/9)|\(x|^9\)+ (2/10)y \(x^{10\) + C

Now, substitute back the original variable notation |x| with x since the absolute value can be omitted when we square x:

(1/9)\(x^9\) + (1/5)y\(x^{10\) + C

This expression represents the indefinite integral of the right side of the differential equation. However, this is not the correct form of the general solution.

To find the correct general solution, we need to integrate the left side of the equation as well. Let's continue from the point where we obtained:

∫(dy/y) = ∫[(\(x^3\) - xy)/(6x)]dx

Integrating both sides:

ln|y| = (1/18)\(x^3\)- (1/6)xy + C

Exponentiating both sides:

|y| = \(e^{[(1/18)\) - (1/6)xy + C]

Since \(e^C\) is a positive constant, we can replace |y| with a positive constant A:

y = ±A × \(e^{[(1/18)x^3 - (1/6)xy]\)

Therefore, the correct general solution of the given differential equation is:

y = ±A × \(e^{[(1/18)x^3 - (1/6)xy]}\); where A is an arbitrary constant

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pls help. i really need help on this!!

(pls dont waste my time or just take away points for fun. Whoever gets the correct answer will be marked brainliest. I need explanation how to do it)(i would apresiate your help)




a, b, c, d, h, and i.

pls help. i really need help on this!!(pls dont waste my time or just take away points for fun. Whoever

Answers

Answer:

a.) $10.50

b.) $45.00

c.) about 66.67%

Step-by-step explanation:

a.) regular price = 15.00

    discount = 30% or 0.3

    15 x 0.3 = 4.50 ----------> this is the amount that you will have off

    15.00 - 4.50 ---------> by subtracting from original price, you have sale price

    = $10.50

b.) bought price = 25.00

    marked up = 80% or 0.8

    25.00 x 0.8 = 20 -------> this will give you 80% of 25

    25.00 + 20.00 ------> she sells for 80% higher, so add the numbers

    = $45.00

c.) original price = 36.00

    bought price = 36.00 - 12.00

    = 24

    24 / 36 -----> divide bought price by original to find what percentage it is

    = .66666 which is rewritten as 66.667%

    you can check this by multiplying that percentage by the original price

hopefully this helps a little bit

If YZ is the requested side and XZ is the given side, which ratio amongst sin 35,3° or cos 35,5° will be used to calculate YZ ​

Answers

The answer of the given question based on the trigonometry is , to calculate YZ, we should use the cosine function with the angle 35.5°.

What is Sine function?

The sine function is a mathematical function that relates the ratios of the lengths of two sides of a right triangle with the measure of one of its non-right angles. Specifically, the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse.

To use trigonometry to calculate YZ, we need to find a trigonometric ratio that involves the given side XZ and the angle opposite the requested side, which is angle YXZ. We don't have the measure of this angle, but we know that it is supplementary to the given angle 35.5°, so it must measure:

180° - 35.5° = 144.5°

We can use this angle and the given side XZ to find the length of YZ using the sine or cosine function.

In this case, the length of the opposite side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 144.5°. So we can write:

sin(144.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * sin(144.5°)

On the other hand, the cosine function , this case, the length of the adjacent side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 35.5°. So we can write:

cos(35.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * cos(35.5°)

Therefore, to calculate YZ, we should use the cosine function with the angle 35.5°.

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A doctor is using a treadmill to assess the strenght of a patient's heart. He sets the 48-inch long treadmil at an incline of 10⁰,how high is the end of the treadmill raised

Answers

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Based on USDA suggestion, a U.S. adult should be spending anywhere from $165 to $345 per month on food, depending on age and gender. A random sample of 120 adults in Washington State is polled regarding the amount of money they spend each month on food. The sample has an average of $273.61 with a standard deviation of $61.59. Based on this information, complete the following questions.
a) (5pts)Show that the requirements to build a confidence interval are met.
b) (5pts)State the critical value for a 90% confidence interval
c) (5pts)Compute the 90% confidence interval. State values to two decimal places.
d) (5pts)Interpret the 90% confidence interval using complete sentences.

Answers

Answer:

Step-by-step explanation:

Based on this sample, we can say with 90% confidence that the average amount of money spent on food by adults in Washington State is likely to be between $264.30 and $282.92 per month.

a) To determine if the requirements to build a confidence interval are met, we need to check if the following conditions are satisfied:

Random Sampling: The problem states that a random sample of 120 adults in Washington State was polled, which satisfies the random sampling condition.

Independence: It is assumed that the individuals in the sample are independent of each other, meaning that one person's response does not affect another person's response.

This assumption is reasonable for this situation.

Sample Size: The sample size is 120, which is greater than 30. When the sample size is large, the Central Limit Theorem applies, allowing us to use a normal distribution for the sampling distribution of the sample mean.

Normality: In order to use the normal distribution, the population distribution needs to be approximately normal or the sample size needs to be large. Since the population distribution is not specified, we will assume that the sample size of 120 is large enough for the Central Limit Theorem to apply.

b) The critical value for a 90% confidence interval can be obtained from the standard normal distribution table or a statistical software. For a 90% confidence level, the critical value is 1.645.

c) To compute the 90% confidence interval, we will use the following formula:

Confidence Interval = sample mean ± (critical value x standard deviation / sqrt(sample size))

Confidence Interval = $273.61 ± (1.645 x $61.59 / sqrt(120))

Confidence Interval = $273.61 ± (1.645 x $61.59 / 10.954)

Confidence Interval = $273.61 ± $9.31

The 90% confidence interval is approximately $264.30 to $282.92.

d) The 90% confidence interval for the amount of money spent on food by adults in Washington State ranges from approximately $264.30 to $282.92.

This means that we are 90% confident that the true population mean falls within this range. In other words, if we were to repeat this sampling process multiple times and construct 90% confidence intervals, we would expect about 90% of those intervals to contain the true population mean.

Therefore, based on this sample, we can say with 90% confidence that the average amount of money spent on food by adults in Washington State is likely to be between $264.30 and $282.92 per month.

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Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue

Answers

They should use 6 cup of Noah's measuring cup

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Recipe call = 3/4Noah's cup = 1/8Number of cup = ?

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS? ∠RSC ∠SRE ∠DQS ∠QSR

Answers

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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WILL GIVE BRAINLIEST PLEASE HELP ASAP
The sum of three consecutive numbers is 72. What is the smallest of these numbers? Set up an equation to solve.

Answers

Answer:

Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23

Step-by-step explanation:

Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.

Step-by-step explanation:

The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.

Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.

Knowing this, we can divide 72 by three to get the value of the middle number.

72/3 = 24, so the middle number is 24.

The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.

You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.

To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.

72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.

If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.5, then P(A ∩ B) =

a. 0.10
b. 0.90
c. 0.00
d. 0.20

Answers

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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i don't know which one is the correct answer? PLEASE HELP!!​

i don't know which one is the correct answer? PLEASE HELP!!

Answers

The answer is 1/q^30 because after simplifying, you can cancel out the p and then you get q^q-20 times q^-10 to get q^-30 which then equals 1/q^30
after distributing, this i was you should get. since it’s exponents, multiplying means adding them together so the 8’s would cancel out and then would get q^-30. you would need to move this to the denominator since the exponent is negative, leaving you with this answer.
i don't know which one is the correct answer? PLEASE HELP!!

The formula for the area, A, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a, is:

img2

Upper A = one-half a p. A polygon with 5 sides has an apothem with measure a.

What is the equivalent equation when solving for p?

Answers

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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There are 28 days in the month of February. Jordan did 35 push-ups each day of the month. How many push-ups did he do in the month of February?
A). 630
B). 500
C). 980
D). 1,098

Answers

The answer is 980 cause if you do 28 times 35 you get that answer which is c

A polling organization announces that the proportion of American voters who favor congressional term limits is 64 percent, with 95% confidence and margin of error of 3 percent. This means that

Answers

Answer:

We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Step-by-step explanation:

95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.

95 % confidence  means that of all the sample about 95 %  values are within in the given range.

And only 5% sample are not included in the given parameter.

Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.

3% margin of error usually occurs when the data size is small.

As the data size increases the margin of error decreases.

So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Margin of error= z *σ/√n→

This indicates that as the sample size decreases the margin of error increases and vice versa.

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