I REALLY DONT GET THESE!! HELP

I REALLY DONT GET THESE!! HELP

Answers

Answer 1

Answer:

u need a protractor to do that


Related Questions

Rewrite as a whole number. 63/9

Answers

Answer:

7

Step-by-step explanation:

Because 9 can go into 63, 7 times.

simplify the expression a² • 3a and explain your steps pls

Answers

Answer:

3a^3

Step-by-step explanation:

Ok I got you bud now the the first thing to notice that they're all the same variable. so the way I learned to look at is like this  

1a^2 x 3a^1

so the reason I put it like this is so I remember that in front of every variable is a coefficient. so you would first multiply the coefficient

3x1=3

3

then multiply the a's you have one a that is being squared and one a to the first power so since your multiplying them you just add the exponents

a^1 + a^2 = a^3

so when you put it all together it says 3a^3

hope this helps

Given ​f(x)=20x+11​, find ​f(4​)

Answers

Answer:

91

Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

f(4)=80+11

f(4)=91

a function f is question blank 1 of 1 linear on an interval ii if, for any choice of x 1x 1 ​ and x 2x 2 ​ in ii, with x 1

Answers

A function f is blank 1 of 1 linear on an interval ii if, for any choice of x1 and x2 in ii, with x1 < x2.

A function f is **question blank 1 of 1** linear on an interval **ii** if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function.t

In a linear function, the rate of change (slope) between any two points on the function is constant. This means that the function's value increases or decreases at a constant rate as we move along the interval.

The blank in the question refers to the specific term that should be filled. However, based on the given context, it seems that the most suitable term to fill the blank would be **"is"**. Therefore, the sentence would read as:

"A function f is linear on an interval ii if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function."

This statement highlights the key characteristic of a linear function, where the function's behavior between any two points on the interval is consistent and can be represented by a straight line.

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Max invest $1000 in a savings account that earns simple 3% interest how long will he have to leave it there in order to make $150 in interest

Answers

Given information:

Max invest $1000 in a savings account that earns simple 3% interest.

Let's suppose the duration he needs to keep his money in the savings account is t years.

The interest rate is given as 3% in decimal form = 0.03

Max invests $1000 on the savings account that earns 3% simple interest.

This implies that the interest he will earn after t years is given by:

Interest (I) = Principal × Rate × Time

I = 1000 × 0.03 × t

I = 30t

From the problem, he wants to earn $150 in interest.

So, 30t = 150

Solving for t:

$$\begin{aligned}30t &= 150 \\t &= \frac{150}{30} \\t &= 5 \;years \end{aligned}$$

Max needs to leave his money in the savings account for 5 years to make $150 in interest.

Therefore, the answer is 5 years.'

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Please answer all subparts.
= The doubling period of a bateria population is 10 minutes. At time t population was 600. What was the initial population at time t = 0? Find the size of the bacteria population after 5 hours. number

Answers

Population is the total number of members of a specific species or group that are present in a given area or region at any given moment. It is a key idea in demography and is frequently used in a number of disciplines, including ecology, sociology, economics, and public health.

The doubling period of a bacteria population is 10 minutes, which means that every 10 minutes, the population doubles in size.

Given that at time t, the population was 600, we can use this information to determine the initial population at time t = 0.

Since the doubling period is 10 minutes, we can calculate the number of doubling periods that have occurred from time t = 0 to time t. In this case, if t is measured in minutes, the number of doubling periods is t / 10.

Let's denote the initial population at time t = 0 as P0. Then we can set up the equation:

P0 * 2^(t/10) = 600

To find the initial population P0, we can rearrange the equation:

P0 = 600 / 2^(t/10)

To find the size of the bacteria population after 5 hours (300 minutes), we substitute t = 300 into the equation:

Population after 5 hours = P0 * 2^(300/10)

Now we can calculate the values using a calculator:

P0 = 600 / 2^(300/10) ≈ 600 / 2^30 ≈ 600 / 1073741824 ≈ 5.59e-7

Population after 5 hours = P0 * 2^(300/10) ≈ (5.59e-7) * 2^30 ≈ 598.75

Therefore, the initial population at time t = 0 is approximately 5.59e-7, and the size of the bacteria population after 5 hours is approximately 598.75.

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True or false: f(x) represents a function.
f(x)
• A. False
• B. True

Answers

Answer:

• B. True

Step-by-step explanation:

B. True

F(x) or “f of x” is known as function notation and is mainly used as the base equation for algebra 1.

PLS HELP!!!

1. Write an inequality to represent the situation below.
2. Define your variable in words
3. Solve the inequality.
4. Describe what the solution means in the context of the problem.

Desiree was planning on going to the local amusement park with friends. She had saved $35 to go. She planned to spend $15 on food and the rest on tickets for rides. Each ticket to ride costs $1.75.​

Answers

Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

the number $345{,}600$ can be expressed as $6^a5^b4^c$ for integers $a$, $b$ and $c.$ what is the value of the product $abc?$

Answers

The value of the product \($abc = 1 * 3 * 1 = 3$\).

To express the number \($345{,}600$\) as a product of powers of prime numbers, we first need to find the prime factorization of the given number.

\($345{,}600 = 2^3 * 3 * 5^3 * 23$\)

Now we need to rewrite the given expression \($6^a5^b4^c$\) in terms of prime numbers:

\($6^a5^b4^c = (2 * 3)^a * 5^b * (2^2)^c = 2^{a+2c} * 3^a * 5^b$\)

By comparing the exponents of the prime factorization of \($345{,}600$\) with the rewritten expression, we can determine the values of \($a$\), \($b$\), and \($c$\):

\(a+2c=3$, \\$a=1$, \\and $b=3$\)

Solving for \($c$\), we get:

\($c = (3 - a) / 2 = (3 - 1) / 2 = 1$\)

Now we have \(a=1$, $b=3$, and $c=1$\). The product \($abc = 1 * 3 * 1 = 3$\).

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PLEASE! I WILL MARK YOU BRAINIEST!!!!
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.

Answers

The answer is T is 50 degrees

Answer:

Step-by-step explanation:

60

1. A group of 12 students goes on a
school field trip. Of all the students
on the trip, 6 are in third grade.
Which fraction is equivalent to?
A. 1/3
B. 1/4
C. 1/6
D. 1/2

Answers

The answer would be D. 1/2
D is going to be your answer.

What is a parabola parent function?

Answers

The parent function of a parabola is y = x².

A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.

The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.

Its graph passes through the origin (0,0) and lies in first and second quadrant.

One or more parabolas can be easily obtained by transforming the parent function of the parabola.

Therefore, the parent function of parabola is given by y = x².

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What is a parabola parent function?

What is the y-intercept of the function, y = 3x -5?

Answers

Answer:

If you plug in 0 for the x value, you get y=−11.

Step-by-step explanation:

okkkkkk

hope it help mark as brainlist

Answer:

-5

Step-by-step explanation:

y=3x-5

-3x+y=-5

y=-5

I want help,can you help me..​

I want help,can you help me..

Answers

Answer:

well, took me some time but I did answer all of em

I want help,can you help me..
I want help,can you help me..
I want help,can you help me..
I want help,can you help me..

Answer:

5. The Answer is 45.

6. 75

7. 110

8. 30

9. 12

10. 4

11. 5

12. 9

13. 60

14. 60

Step-by-step explanation:

When you solve it out, you know that vertical angles are congruent. So the top angle is 42. Then you need to find out the angle adjacent to the 87. This is a supplementary angle. Supplementary angles add up to 180. So, 180 - 87 = x. This comes out to 93. Then you just need to find ?. All angles in a triangle add up to 180. So 180 - 93 -42 = 45. ? = 45

For this one we know that the angles in a triangle add up to 180. So, 180 - 35 - 70 = 75. Vertical angles are congruent so ? is also equal to 75.

For this one, we know supplementary angles add up to 180. We use this for every angle. 180 - 145 = 35. 180 - 105 = 75. Angles in a triangle add up to 180 so, 180 - 75 - 35 = 70. We know the other angle in the triangle, we now need to find the angle that is supplementary. We know they add up to 180 so, 180 - 70 = 110. ? = 110

We know 2 of the angles, 90 and 60. We can solve for the third angle. 180 - 90 - 60 = 30. Vertical angles are congruent so ? also equals 30.

We now 2 angles. 60 and 70. We can find the third angle. 180 - 60 -70 = 50. We now need to solve for x. We can subtract 14 from 50 then divide it by 3. We get 12. X is = 12.

We know 2 angles. 65 and 90. This means the third angle is 25. We need to solve for x so 25 - 1 = 24. Then divide that by 6. We get 4. X = 4.

We know 2 angles. 70 and 70. This means the third angle is 40. We can divide that by 8 to find x. X = 5.

We know 2 angles. 70 and 90. This means the third angle is 20. We can subtract 2 to get 18. Then divide by 2. We get 9. X = 9.

We first need to find the last angle in the first triangle. 180 - 85 - 50. The third angle is 45. We now know 2 angles in the second triangle. We can now solve for ?. 180 - 75 - 45. ? = 60

We first need to find the last angle in the first triangle. 180 - 70 - 70. 40 is the last angle. We now have 180 - 40 - 80. It comes out to 60. ? = 60.

Please help!!! 30 points and brainliest!!

Solve for ‘x’
-6x = -5x - 9

Answers

\(-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9\)

(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)

Answer:

x = 9

Step-by-step explanation:

-6x = -5x -9

+5x   +5x

----------------

-x = -9

---    ----

-1      - 1

-------------

x = 9

Hope this helps!!^^ plz mark brainliest?

38. connect these ordered pairs: (1,5), (0,4), (1,3), (2,3), (3,4), and (2,5). what shape do you end up with?

Answers

By plotting the ordered pairs and joining them, the figure obtained is a hexagon.

We are given the ordered pairs as:

(1, 5), (0, 4), (1, 3), (2, 3), (3, 4), and (2, 5).

Ordered pairs are the pairs that are written in the form:

(x, y)

where x is the abscissa and y is the ordinate of the points.

We will first plot these ordered pairs on a graph.

Now we will join the points.

We can see that the figure that is being obtained is a hexagon as it has six sides.

Therefore, we get that, by plotting the ordered pairs and joining them, the figure obtained is a hexagon.

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38. connect these ordered pairs: (1,5), (0,4), (1,3), (2,3), (3,4), and (2,5). what shape do you end

i need help on this fast​

i need help on this fast

Answers

According to the information of the graph we can infer that Neighborhood A appears to have a bigger family size.

Which neighborhood appears to have a bigger family size?

According to the information we can infer that the average family size in Neighborhoods are:

Neighborhood A: 4 + 4 + 5 + 5 + 5 + 5 + 5 + 5 + 6 = 4444 / 9 = 4.8Neighborhood B: 6 + 5 + 5 + 4 + 4 + 3 + 4 + 2 + 4 = 3737 / 9 = 4.11

A = 4.8B = 4.1

Additionally, the largest family size in Neighborhood A is 6, whereas the largest family size in Neighborhood B is 6 as well. These facts indicate that, on average, and in terms of the maximum family size, Neighborhood A has a larger family size compared to Neighborhood B.

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Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be valued at $768?

Answers

Answer:

4 years

Step-by-step explanation:

Hope this helps

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

Given the following information: calculate the perimeter of triangle rst. assume rzx is similar to rst. rz=21, ry= 24, rx= 39, zy=9 and sw=18

Answers

If triangle RST and RZX are similar then the perimeter of triangle RZX is 150 units.

Given triangle RZX and RST are similar and RZ=28, RY=40,ZY=16 and SW=24.

In the similar triangles the ratio of sides are in proportion to the sides of other triangle.

The ratio of ZY to SW is 16:24 meaning it is 2:3. So all the sides of RST are 1.5 times as long as RZX.

RZ=28 so RS=28*1.5=42

RX=40 so RT=40*1.5=60

ZX=ZY+XY and since they are the of the same length , ZX=32 (ZY given)

Then ST=48

Perimeter of a triangle is the sum of sides of the triangle.

Perimeter of RST=RS+ST+RT

=42+60+48

=150

Hence the perimeter of triangle RST is 150 units.

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Question is incorrect as it should be as under:

Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to RST. RZ=28, RY=40, ZY=16 and SW=24.

Figure should also be given.

Given the following information: calculate the perimeter of triangle rst. assume rzx is similar to rst.

Please help! Algebra 1.

Please help! Algebra 1.

Answers

Answer:

The correct answer is B.

Step-by-step explanation:The entrance fee ($18) and the cost per ball ($0.08B) added together should equal greater or equal to $75 in order to receive $10 off.

a bag contains 13 balls numbered 1 through 13. what is the probability of selecting a ball that has an even number?

Answers

The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.

To calculate the probability, we use the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.

Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.

To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.

In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.

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Because studies used in a meta-analysis have typically used different statistical tests, a statistic called _____ size is used to put all the results into a common scale.

Answers

Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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Question is in the images

Not all need to be used!

Question is in the imagesNot all need to be used!
Question is in the imagesNot all need to be used!

Answers

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

What is AAS postulate?

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Please find the perimeter and area of these shapes

Please find the perimeter and area of these shapes
Please find the perimeter and area of these shapes

Answers

Answer:

ABC shaded area = 36\(\pi\) - 72   cm²

ABC shaded area perimeter = \(6\pi +12\sqrt{2}\)    cm

ABCD area = \(\dfrac52 \pi\)  cm²

ABCD perimeter = \(3\pi +2\)   cm

Step-by-step explanation:

Shape ABC

Assuming you want the area and perimeter of the shaded part of the shape only...

Area

Area of a sector = \(\dfrac12r^2\theta\) (where r is the radius and \(\theta\)

⇒ area of a sector = \(\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2\)

Area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²

Therefore, area of shaded area = area of sector - area of triangle

⇒ area = 36\(\pi\) - 72 cm²

Perimeter

Arc length = \(r\theta\) (where r is the radius and \(\theta\)

⇒ arc length = \(12\times\dfrac12\pi =6\pi \ \textsf{cm}\)

Hypotenuse of triangle = \(\sqrt{a^2+b^2}\) (where a and b are the legs of the right triangle)

⇒ hypotenuse = \(\sqrt{12^2+12^2} =12\sqrt{2}\) cm

Therefore, perimeter = arc length + hypotenuse

⇒ perimeter = \(6\pi +12\sqrt{2}\)  cm

Shape ABCD

Area

Area of a semicircle = \(\dfrac12 \pi r^2\) (where r is the radius)

⇒ area of large semicircle ABC = \(\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2\)

⇒ area of small semicircle AD = \(\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2\)

⇒ area of shape ABCD = \(\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2\)

Perimeter

1/2 circumference = \(\pi r\)

⇒ perimeter = \(2\pi +2+\pi=3 \pi+2 \ \textsf{cm}\)

What’s the slope of the line?

Whats the slope of the line?

Answers

Answer:

slope = - \(\frac{1}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (2, - 1)

m = \(\frac{-1-1}{2-(-2)}\) = \(\frac{-2}{2+2}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)

Emma is a professional cyclist. For the past year she has been practicing to ride as far as she can in a minute. At the beginning of the year, her personal record was 5/6 of a kilometer in one minute. After six months, she improved her record by 1/15 of a kilometer. After a year, she further improved her record by 1/12 of a kilometer. What is her best record?

Answers

Step-by-step explanation:

5/6+1/15+1/12in on minute

Emma's best record is 59/60 kilometers per minute.

Given that, Emma personal record was 5/6 of a kilometer in one minute.

What is addition of two fractions?

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given, after six months, she improved her record by 1/15 of a kilometer. After a year, she further improved her record by 1/12 of a kilometer.

Now, 5/6 + 1/15 + 1/12

LCM of denominators 6, 15 and 12 is 60.

50/60 + 4/60 + 5/60

= 59/60

Therefore, Emma's best record is 59/60 kilometers per minute.

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Consider the utility function U(x,y)=x 0.4 y 0.6 (2+1+1+1+1+1=7 marks ) (a) Is the assumption that more is better satisfied for both goods? (b) Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x ? Explain. (c) What is MRS x,y ​ for the given utility function? (d) Is MRS x,y ​ diminishing, constant, or increasing as the consumer substitutes x for y along indifference curve? (e) On a graph with x on the horizontal axis and y on the vertical axis, draw a typical indifference curve (it need not be exactly to scale, but it needs to reflect accurately whether there is a diminishing MRS x,y ​ . Also indicate on your graph whether the indifference curve will intersect either or both axes. Label the curve U 1 ​ . (f) On the same graph draw a second indifference curve U 2 ​ , with U 2 ​ >U 1 ​ .

Answers

Utility function is the function that measures the utility level of a good to an individual. Utility levels can be measured numerically, and this is measured using a utility function.

Hence, the function U (x,y) = x0.4y0.6 is a utility function.

The following are the solutions to the questions given:

(a) The assumption that more is better satisfied for both goods. As an increase in one good will result in the increase of the utility function, then the assumption that more is better is satisfied for both goods.

(b) The marginal utility of x will diminish as the consumer buys more x.

Since the marginal utility of a good decreases as its quantity consumed increases, therefore, the marginal utility of x will diminish as the consumer buys more x.

(c) The marginal rate of substitution is given by the ratio of the marginal utilities of the two goods;

i.e., MRS x,y = (MU x )/(MU y ).

Differentiating the given utility function with respect to x and y, MU x = 0.4(x0.4-1) y0.6, and MU y = 0.6(x0.4) y0.6-1.

Hence, MRS x,y = (MU x )/(MU y ) = (0.4(x0.4-1) y0.6)/(0.6(x0.4) y0.6-1) = (2/3) x/y.

(d) MRS x,y is diminishing as the consumer substitutes x for y along the indifference curve.

This is because the marginal utility of the two goods is decreasing.

(e) To graph the indifference curve, we put x on the horizontal axis and y on the vertical axis.

The function U (x,y) = x0.4y0.6 represents a family of indifference curves, and we choose U1 to sketch on the graph. U1 is a curve that is convex to the origin, indicating that MRS x,y is diminishing.

The curve will not intersect either axis.

(f) To sketch U2, we will have to increase the utility level from U1. This means that we have to shift the curve outward from the origin.

Hence, U2 is a curve that is also convex to the origin but lies farther from the origin than U1.

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Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p,

Answers

The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).

Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.

We are required to find the equation of variation.

To solve this problem we must apply the following procedure:

1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:

y=k(xz/wp)----------1

Now we have to solve for the constant of proportionality as done under:

k=ywp/xz-------------2

Using the values in equation 1.

k=(7/28)(7)(8)/(7)(4)

=0.5

Using all the values in the equation 2.

y=0.5(xz/wp)

Hence the equation of variance is y=0.5(xz/wp).

Question is incomplete.The following values should be included:

y=7/28 where x=7,z=4,w=7 and p=8.

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The price of a pair of Jordans was reduced from $200 to $160. By percentage was the price reduced

help me

Answers

Answer:

20%

Step-by-step explanation:

The Jordans was reduced by 20% from $200 to $160.

1. Subtract 160 from 200 to find out the difference:

200 - 160 = $40

2. Since $40 was the difference. Divide 40 by 200 to find out the percentage:

40/200 = .2 = 20%

3. You can check this answer: 200 x .2 = 40.

explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known

Answers

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

What is t-distribution and normal distribution ?

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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