Felipe gave 4 people candy. He split 7/8
pounds among them.

What is the unit rate in pounds per person?
Write your answer in simplest form.

In a two-tail hypothesis test, if the calculated test statistic (z-statistic) is -1.58 and the level of significance is used, the decision will depend on comparing the z-statistic to the critical values of the standard normal distribution corresponding to the desired level of significance.

Explanation: In a two-tail hypothesis test, the null hypothesis assumes that there is no significant difference between the sample and population parameters. The alternative hypothesis, on the other hand, suggests a significant difference. The level of significance, denoted as α, determines the critical values that divide the rejection and non-rejection regions.

If the calculated test statistic, in this case -1.58, falls within the rejection region, which is determined by the critical values, we reject the null hypothesis. If the test statistic falls outside the rejection region, we fail to reject the null hypothesis.

To make a decision, we compare the z-statistic to the critical values corresponding to the level of significance. If the z-statistic of -1.58 falls outside the critical values, it means it is not extreme enough to reject the null hypothesis, and we fail to reject it. However, if the z-statistic falls within the critical values, we reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

Step-by-step explanation:

p1(-3,2) p2(2,6)

find the slope of the line between these two points

m= 6-2 /2-(-3)

m=4/5

find the slope of the line between p2 and p3(8,-1)

m=-1-6 /8-2

m=-7 / 6

dist= sqrt( (8-(-3))^2+(-1-2)^2)

dist = 11.40175    (1 to 3)   hyp

dist = sqrt( (8-2)^2 + (-1-6)^2)

dist = 9.219544  (2 to 3)

dist = sqrt( (2-(-3))^2 + (6-2)^2)

dist = 6.403124 ( 1 to 2)

use law of cosines to find an angle

law of cosines cos(C) = (a^2+b^2-c^2) / (2ab) =97.61°

cos(A) = (b^2+c^2-a^2) / ( 2bc) = 32.23°

cos(B) = (a^2+c^2-b^2) / (2ac) =50.16°

do the same process as above but for the points in 23

This took me a few hours  :/   granted  I took a break for dinner but still .. pay me for that much work  :D..     if you can't get  23 later re post question I'll work on it later  

Answer:

The area of the trapezium is \(74.8\ cm^2\)

Step-by-step explanation:

Area of a trapezium:

\(\displaystyle A=\frac{b1+b2}{2}h\)

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

\(\displaystyle A=\frac{15+7}{2}\cdot 6.8\)

\(A=74.8\ cm^2\)

The area of the trapezium is \(74.8\ cm^2\)

Here's why:

A correlation is a measurement used in experimental settings to link two or more things together without using it to prove a scenario. For instance, researchers can use a correlation to show a relationship between eating hot dogs and cancer. Or, researchers can use correlations to show that staying up late is linked to worsened mood and/or worsened attention span.

There are POSITIVE correlations and NEGATIVE correlations. Your dependent variable is placed on the y-axis, or the one going upwards. The independent variable is placed on the x-axis, or the "horizon" of the graph.

Returning to the hot dogs and cancer example, we can actually confirm that it is a positive correlation. This can be proven by simply plotting this data on a scatterplot. A scatterplot is the placing of data points based on the independent and dependent variables on the graph and then placing a line of average reference so you can see the strength of the graph. For example, if someone ate 84 hot dogs in a month and their chance of getting cancer increased by 33%, we would place a dot at 84 on the y-axis and at 33 on the x-axis (assuming scales of zero to two hundred).

So, hot dogs would be the independent variable and the contractions of cancer would be the dependent variable because it is dependent on the consumption of hot dogs.

A negative correlation would mean that the line MUST go downwards on the graph. Therefore, it has a negative slope.

Now, let's look at the table values. If we plotted the first table through the Desmos Graphing Calculator, we would see that the first table does NOT graph a downwards set of points (You can view my reference attachment below titled "Table 1.").

Table 2 goes downwards for the most part and only has one point where it goes upwards and then immediately goes downwards  (You can view my reference attachment below titled "Table 2.").

Finally, Table 3 is basically a zig-zag and goes downwards, then upwards, and then downwards again (You can view my reference attachment below titled "Table 3.").

Therefore, it should be proven that Table 2/Table B is the table that shows negative correlation.

Answer:

It's B.

Step-by-step explanation:

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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Answer:

2.50,  4,  5-10, 20-25 apples

Step-by-step explanation:

Answer:

9:40

Step-by-step explanation:

Distance = rate x time

Let t = time

40 = 60t  Divide both sides by 60

\(\frac{40}{60}\) = t  An hour would be 60 minutes so the number of minutes out of the total would be 40.

Mu has walked 15 laps to raise a total of $105. Mu is walking laps to raise money for charity.

For each lap, her sponsors will donate $7. Mu has walked lll laps and raised a total of $105.

To write an equation that can describe the situation, we can use the formula \(y = mx\),

where y represents the total amount raised, m represents the amount raised for each lap, and x represents the number of laps walked.

Therefore, the equation that describes the situation is:

y = 7x (Mu's sponsors will donate $7 for each lap she walks).

Since Mu has walked lll laps and raised a total of $105,

we can substitute these values into the equation and solve for x. 105 = 7 × lll

To find lll, we can divide both sides by 7.

This gives us: lll = 15

Therefore, Mu has walked 15 laps to raise a total of $105.

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The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

g(7)= -4

Step-by-step explanation:

10-2(7)

10-14

=-4

The value of g(7) is -4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 10 - 2x

For x = 7,

g(7) = 10 - 2 x 7

g(7) = 10 - 14

g(7) = -4

Thus,

g(7) = -4.

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Answer:

129

161-6=155-26=129 so x is 129

Answer:

x= 129

Step-by-step explanation:

161-6-26=x

161-6= 155

155-26= 129

x=129

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

7

Step-by-step explanation:

So first you substitute A in

15-|-4(2)|

Then you multiply first because of GEMDAS or PEMDAS

15-|-8|

And because absolute value means how far away it is from 0, -8 is 8 away from 0 , thus |-8| is 8. So we simplify the equation

15-8

=7

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. Therefore,

2x + 3x + 22 = 180

Simplifying the equation,

5x = 158

Dividing by 5 on both sides,

x = 31.6

To find the actual measures of 2x and 3x, we substitute the value of x:

2x = 2(31.6) = 63.2 degrees

3x = 3(31.6) = 94.8 degrees

Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.

104/-120

=-13/15

Devishri1977 gave a better example of how she got to the answer

Answer:

-13/15

Step-by-step explanation:

104/-120 should be reduced to lowest term and - should be in the numerator

\(\dfrac{104}{-120}= -\dfrac{2*2*2*13}{2*2*2*3*5}=\dfrac{-13}{15}\)

Answer:

77m

Step-by-step explanation:

Area of rectangle = L x W

7536m² = 98 x W

(Divide both sides by 98 to get W)

W = 7536m ÷ 98m

W = 77m

Answer:

A and D

Step-by-step explanation:

You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.

Answer:

The answer is A

Step-by-step explanation:

4−(−7)

=4−(−7)

=4+7

=11

we have that

Part 1

Remember that breakpoint is when the revenue (R) is equal to the cost (C)

so

C=7x+30,000

R=10x

equate both equations

10x=7x+30,000

solve for x

10x-7x=30,000

3x=30,000

x=10,000 units

Part 2

net profit of $ 21,000

so

R-C=21,000

10x-(7x+30,000)=21,000

10x-7x-30,000=21,000

3x=21,000+30,000

3x=51,000

Part 3

net profit equal to $ 60,000

so

R-C=60,000

10x-(7x+30,000)=60,000

10x-7x-30,000=60,000

3x=60,000+30,000

3x=90,000

Answer:

No, because a right angle must not have the least 90°/. degrees c

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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a) f is positive on the intervals (-∞, 1/3) and (3, ∞).

b) f is negative on the intervals (-1, 2) and (4, ∞).

c) f is decreasing on the interval (1/3, 3) for a given polynomial function.

d) f is increasing on the intervals (-∞, -1) and (2, 4).

Polynomial functions are functions that are defined by polynomial expressions. A polynomial expression is a finite sum of terms that are each monomial expression, which means they consist of a constant coefficient multiplied by a variable raised to a non-negative integer power.

The general form of a polynomial function is:

f(x) = \(a_n\) \(x^{n\) + \(a_{n-1}\)\(x^{{n-1}}\) + ... + \(a_1 x\) + a_0

where n is a non-negative integer, \(a_n\), \(a_{n-1}\), ..., \(a_1,\) \(a_0\) are constants (called the coefficients), and x is the variable.

Using the graph of the polynomial function f(x) = -\(x^{3}\) + 5\(x^{2}\) - 2x - 8, we can complete the sentences as follows:

a) f is positive on the intervals (-∞, 1/3) and (3, ∞). This is because the graph of the function is above the x-axis on these intervals.

b) f is negative on the intervals (-1, 2) and (4, ∞). This is because the graph of the function is below the x-axis on these intervals.

c) f is decreasing on the interval (1/3, 3). This is because the graph of the function is sloping downward from left to right on this interval.

d) f is increasing on the intervals (-∞, -1) and (2, 4). This is because the graph of the function is sloping upward from left to right at these intervals.

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Answer:

1) x = 81, y = 99

2) x = 110

3) z = 40, y = 95, x = 85

4) y = 35, z = 55, x = 35

Step-by-step explanation:

1 and 2 use similar concepts:

They both use same side interior angles to find out the exterior angle measurement. For example, for problem 1, 58 + 41 = 99, which is the measurement of the exterior angle. And because the exterior angle shares an interior angle, x, then 180 - 99 = 81.

3 and 4 use similar concepts too:

You need to find out the measurement of each variable by solving the whole triangle. For example 3, which I found the most difficult out of all 4 of the problems, all you needed to do to solve for the other angle on the right was to add 57, 45, and 38 and subtract the total of those numbers from 180 to get z. Then, for x, you add the left triangle ONLY, which is 38 + 57 = 85. Subtract 85 from 180 and you will get 95.

Hope this helps!

:)

Answer:

I'm guessing it's D

Step-by-step explanation:

It says D is the answer

Answer:

To find Rs(1,0) and Rt(1,0), we need to use the chain rule of partial differentiation.

Rs(1,0) can be found by computing the partial derivative of R with respect to s, while holding t constant and then evaluating the result at (1,0). Similarly, Rt(1,0) can be found by computing the partial derivative of R with respect to t, while holding s constant and then evaluating the result at (1,0).

Using the chain rule, we have:

Rs = Fu * us + Fv * vs

Rt = Fu * ut + Fv * vt

We are given the values of u, v, us, ut, vs, vt, Fu, and Fv at the point (1,0) and the values of u and v at the point (2,3). We can use these values to compute Rs(1,0) and Rt(1,0) as follows:

Rs(1,0) = Fu(2,3) * us(1,0) + Fv(2,3) * vs(1,0)

= (-1) * (-2) + (10) * (5)

= 52

Rt(1,0) = Fu(2,3) * ut(1,0) + Fv(2,3) * vt(1,0)

= (-1) * (6) + (10) * (4)

= 34

Therefore, Rs(1,0) = 52 and Rt(1,0) = 34

Answer:

x+3

I hope this helps you

Answer: $12

Step-by-step explanation: Since all the tickets cost the same amount, then 180 which is the dividend means the total amount of money needed by the sixth grade science club

15 is the divisor and it represents the total number of tickets needed

The quotient is $12

So the cost of one ticket is $12.

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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