"Henri has calculated a z-test statistic of -2.73. What is the p-value of the test statistic? Answer choices are rounded to the thousandths place."

Answer:

mAOC = 40

Step-by-step explanation:

This is because from 40 to 60 degrees its 20 degrees, and then from 60 to 80 degrees its 20 degrees so 20 +20= 40 degrees

Answer:

0

Step-by-step explanation:

We need to solve the given expression for the value of h.

- 4(-5h-4)=2(10h+8)

Opening brackets on both sides of the above equation

+20h+4=20h+16

Taking h terms on the one side and the constants on the another side

20h-20h=16-4

0=20

It means that the value of - 4(-5h-4)=2(10h+8) is equal to 0.

Answer:

Step-by-step explanation:

9k + 3 > 6k - 18

To solve the inequality shown first group like terms.

That's send the constants to the right side of the inequality and those with variables to the left side.

We have

9k - 6k > - 18 - 3

Simplify

3k > - 21

Divide both sides by 3

We have the final answer as

Hope this helps you

Answer:

The height and  width of the interior tile =  3·x + 4 - 4 = 3·x and 2·x + 4  - 4= 2·x

Please see attached diagram

Step-by-step explanation:

The given parameters are;

The given rectangular floor tile  with width = 3·x + 4 and height = 2·x + 4

Where, x is in centimetres

The interior tile maintains a height to width ration of 2:3

The dimension of the trim border = 2 cm

Therefore;

The relationship between the width and height of the interior and exterior tiles is given as follows

Width of exterior tile = Width of interior tile + 2 × The dimension of the trim border

Which gives;

Width of exterior tile = Width of interior tile + 2 × 2 = Width of interior tile + 4

Height of exterior tile = Height of interior tile + 2 × The dimension of the trim border

Height of exterior tile = Height of interior tile + 2 × 2 = Height of interior tile + 4

Where the interior tile maintains a height to width ration of 2:3, we have;

For a unit length x, The height and the width of the interior tiles are 2·x:3·x

Therefore, for a given height 2·x, the width will be 3·x

Given the width of the exterior tile =  3·x + 4

The height of the exterior tile will then be 2·x + 4 and the width of the exterior tile will be 3·x + 4

The sides ratio of the interior tiles remain 2·x:3·x = 2/3

Answer:

y = (1/2n) + (9/4)

Step-by-step explanation:

4y - 2n = 9

add 2n to both sides

4y = 9 + 2n

divide both sides by 4

y = (9/4) + (2/4n)

simplify

y = (9/4) + (1/2n)

put in standard form

y = (1/2n) + (9/4)

Answer:

y=9+2n/4

Step-by-step explanation:

4y-2n=9

   +2n

4y=9+2n

÷4     ÷4

y=9+2n/4

Answer:

A) I) 49 teams

II)63 teams

B) 28 teams

Step-by-step explanation:

A) a team of 5 boys and 6 Girls

=7C5+ 8C6

= 21+28

= 49 teams

a team of 6 boys and 5 girls

= 7C6 + 8C5

= 7+56

= 63 teams

B) one girl is kept constant already and a guy has injury

Girls remaining to choose from 7

Boys remaining to choose from 6

= 1 +7C5 + 6C5

= 1+21+6

= 28 teams

Answer:

I need something to slove

Step-by-step explanation:

Answer:

There is no difference.

Step-by-step explanation:

When it comes to significant figures, they matter.

However, if you just add zeros, they essentially just become placeholders. 3 already has 0 for decimals, so it is equal to 3.0 and 3.00.

Answer:

A) 1 and -3

B) 8 and 6

C) D) 12 in.

Step-by-step explanation:

A) 1 and -3

B) x-2 = first number

x = second number

2x=5(x-2)-14

2x=5x-10-14

2x=5x-24

2x+24=5x

24=5x-2x

24=3x

8=x

So the two numbers are 8 and 6

C) width=x

length=x+8

x+x+x+8+x+8=64

4x+16=64

4x=48

x=12

Answer:

gcyj gc yj g

Step-by-step explanation:

cgyj jc y gc jyjgcjc gj gcjg jg jgjy g yjcgj

Answer:

-180

Step-by-step explanation:

just simply put the values in place of variables and solve

36(3) - 8(6)^2

108 - 8(36)

108 - 288

-180

Answer:

-180

Step-by-step explanation:

Answer:

169.65

Step-by-step explanation:

Answer:

A. 0.78 and 1.255.

B.  0.095

C. -0.475

Step-by-step explanation:

The given regression line is

y=-0.17+0.095x

A.

The true average flow rate for a pressure drop of 10 inch can be computed by putting x=10 in above equation.

y=-0.17+0.095*10

y=-0.17+0.95

y=0.78

The true average flow rate for a pressure drop of 10 inch is 0.78.

The true average flow rate for a pressure drop of 15 inch can be computed by putting x=15 in above equation.

y=-0.17+0.095*15

y=-0.17+1.425

y=1.255

The true average flow rate for a pressure drop of 15 inch is 1.255.

B.

The slope represents average change in y due to unit change in x.

So, the true average change in flow rate associated with a 1 inch increase in pressure drop is 0.095(1)= 0.095.

C.

When pressure drops decreases by 5 in. then the average change in flow rate is 0.095(-5)=-0.475.

The flow rate in the device is an illustration of average rates.

The function is given as:

[tex]\mathbf{y = -0.17 + 0.095x}[/tex]

(a) The true average flow rate when pressure drops 10 and 15 in

When x = 10, we have:

[tex]\mathbf{y = -0.17 + 0.095 \times 10}[/tex]

[tex]\mathbf{y = 0.78}[/tex]

When x = 15, we have:

[tex]\mathbf{y = -0.17 + 0.095 \times 15}[/tex]

[tex]\mathbf{y = 1.255}[/tex]

Hence, the true average flow rates when pressure drops 10 and 15 in are 0.78 and 1.255 respectively

(b) The true average flow rate when pressure increases by 1 in

This simply represents the slope of the function.

The function is given as:

[tex]\mathbf{y = -0.17 + 0.095x}[/tex]

A linear regression equation is represented as:

[tex]\mathbf{y = b + mx}[/tex]

Where m represents the slope

By comparison:

[tex]\mathbf{m = 0.095}[/tex]

Hence, the true average flow rates associated to a 1 in pressure increment is 0.095

(c) The average change in flow rate when pressure drops decreases by 5 in

The domain of the function is given as:

[tex]\mathbf{x = 5\ to\ 20}[/tex]

A decrement of -5 in means: x = -5

This is out of the domain of the function

Hence, the average change at a decrement of 5 in cannot be calculated

Read more about average change at:

https://brainly.com/question/23483858

Answer:

The question is not complete.

I believe this is the correct complete question:

The following sample of six measurements was randomly selected from a normally distributed population: 1, 3, -1, 5, 1, 2.

a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis,

μ<3  Use  α=.05

b. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis,

μ≠3  Use  α=.05

c. Find the observed significance level for each test.

Step-by-step explanation:

We will first find the standard deviation (S.D) of the six measurements.

To find the S.D, we calculate the mean and variance

Mean = ∈n/n where ∈n = sum of set of numbers n

Mean = [1+3+(-1)+5+1+2] / 6 where n = 6

Mean = 11/6 = 1.8

Variance = Sum of squared deviation from mean / n-1

Variance = [(1-1.8)² + (3-1.8)² + (-1-1.8)² + (5-1.8)² + (1-1.8)² + (2-1.8)²] / 6-1

Variance = [0.64 + 1.44 + 7.84 + 10.24 + 0.64 + 0.04] / 5 = 20.84/5 = 4.168

Standard Deviation S.D = √Variance = √4.168 = 2.041

(a) [tex]H_{o}[/tex] : μ=3,  [tex]H_{a}[/tex] : μ<3

Using  α=0.05

test stat =  {mean - μ[tex]_{o}[/tex]] / S.D /[tex]\sqrt{n}[/tex] = [1.8 - 3] / [2.041/ √6

test stat = -1.2 / 0.833 = -1.44

Critical Value from Student T distribution is t[tex]_{a}[/tex] = 2.015

Therefore, the rejection value contains values < -2.015

-1.400 > -2.015. It Fails to reject [tex]H_{o}[/tex]

(b) [tex]H_{o}[/tex] : μ = 3,  [tex]H_{a}[/tex] : μ ≠ 3

Using  α=0.05

test stat =  {mean - μ[tex]_{o}[/tex]] / S.D /[tex]\sqrt{n}[/tex] = [1.8 - 3] / [2.041/ √6

test stat = -1.2 / 0.833 = -1.44

Critical Value from Student T distribution is t[tex]_{a}[/tex] = 2.571

Therefore, the rejection value contains values < -2.571 and larger value to 2.571

2.571 > -1.400 > -2.571. It Fails to reject [tex]H_{o}[/tex]

(c) Significance Value of (a) is P-value > 0.100

Significance Value of (b) is P-value > (2 x 0.100 = 0.200)

Answer:

Start at (0,2) and draw a line to (3,1)

Step-by-step explanation:

Since +2 is the y-intercept, we must start there.

Always remember the saying "rise over run". Since -1 is the "rise", we must go down one, "3" is the run, so we must move over to the right 3 times.

Answer:

[tex]P(X\leq 1) = 0.331[/tex]

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

[tex]P(X = x) = \frac{y^xe^{-y}}{x!}[/tex]

Where y represents λ (average)

y = 2.3

Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment

Using probability notations;

[tex]P(X\leq 1) = P(X=0) + P(X =1)[/tex]

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

[tex]P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}[/tex]

[tex]P(X = 0) = \frac{1 * e^{-2.3}}{1}[/tex]

[tex]P(X = 0) = e^{-2.3}[/tex]

[tex]P(X = 0) = 0.10025884372[/tex]

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

[tex]P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}[/tex]

[tex]P(X = 1) = \frac{2.3 * e^{-2.3}}{1}[/tex]

[tex]P(X = 1) =2.3 * e^{-2.3}[/tex]

[tex]P(X = 1) = 2.3 * 0.10025884372[/tex]

[tex]P(X = 1) = 0.23059534055[/tex]

[tex]P(X\leq 1) = P(X=0) + P(X =1)[/tex]

[tex]P(X\leq 1) = 0.10025884372 + 0.23059534055[/tex]

[tex]P(X\leq 1) = 0.33085418427[/tex]

[tex]P(X\leq 1) = 0.331[/tex]

Hence, the required probability is 0.331

Answer:

1

Step-by-step explanation:

-1 - (-z)

-1 - (-2)

-1 + 2

1

Answer:

-3

Step-by-step explanation:

Answer:

12.4 pieces of ribbon

Step-by-step explanation:

When looking in the question, we can see the term "cut into equal pieces." This can insure to us that we need to divide two numbers. Since we originally have 15.5 inches long string, and we want to cut it into strings that are 1.25 inches long. We divide :

15.5 / 1.25

==> 12.4

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

Answer:

slope of F(X) = to the slope of G(X)

Step-by-step explanation:

your answer should be: letter C

No lies, I just did the exam and I've got it right, gook luck, guys.

please let me know if it worked, and also please don't forget to make brainly, give a rate, and add the heart ;) I will do the same on you.

The slope of a line f(x) is greater than the slope of a line g(x). Therefore, option A is the correct answer.

The coordinate points on equation of line g(x) are (0, 2), (5, 4) and (10, 6) and f(x) are (3, 1) and (0, -1).

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope can be determined using the formula, slope = (y2-y1)/(x2-x1).

Now, slope of a line g(x) is (4-2)/(5-0)

=2/5

Slope of a line f(x) is (-1-1)/(0-3)

=2/3

The slope of a line f(x) is greater than the slope of a line g(x). Therefore, option A is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/16180119.

#SPJ2

The measure of the angle y is 120°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The Sum of the three angles is 180 degrees.

33 + 87 + x = 180

x = 180 - 120

x = 60

Now,

x + y = 180

60 + y = 180

y = 180 - 60

y = 120

Thus,

The value of y is 120°.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

4 ounces

Step-by-step explanation:

If you divide the 164 ounces by the 8 ounces per glass, you get 20.5 glasses filled. So, half of the last glass would be 4.

Answer:

4 ounces

Step-by-step explanation:

We're looking for the remainder of ounces.

To find how many FULL glasses will be made, we divide 8 by 164 and look at the integer part of the number.

[tex]164\div8=20.5[/tex]

So 2 full glasses were made.

To find the remainder, we multiply 20 by 8 and subtract from 164.

[tex]20\cdot8=160\\\\164-160=4[/tex]

Hope this helped!

Answer:

Question 1

a) Range

= $2962

b) Variance

= $680557.4954

c) Standard Deviation

= $824.9590871

Question 2

Are there any​ outliers, and are they likely to have much of an effect on the measures of​ variation?

Yes, there are outliers present I the given sample data.

These outliers are the larger cost for marriage proposals which are: 1750, 3000

These largest costs are much bigger than the rest of the​ sample data, and they would likely have much of an effect on the measures of​ variation

Step-by-step explanation:

We are given the following sample data in dollars

38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450, 1750, 3000

Question 1

a) Range

This is the difference between the maximum cost and the minimum cost

The minimum cost = $38

The maximum cost = $3000

Range = $3000 - $38

= $2962

b) Variance

Reading the question, we are given sample data.

Hence, we use the formula for Variance of a sample

= (Mean - x)²/N - 1

Step 1

We find the Mean

Mean = Sum of terms/Number of terms

Number of terms = 15

Mean = 38 + 50 + 50 + 55 + 55 + 95 + 95 + 130 + 180 + 213 + 250 + 350 + 450+ 1750 + 3000/15

= $6761/15

= $450.7333333

Step 2

(x - Mean)²/N - 1

N = 15

= $[(38 - 450.7333333)²+ (50 + 450.7333333)²+( 50 +450.7333333)² + (55 +450.7333333)² + (55 +450.7333333)² + (95 + 450.7333333)²+ (95 +450.7333333)²+ (130 +450.7333333)²+ (180 +450.7333333)² + (213 + 450.7333333)²+ (250 +450.7333333)² + (350 + 450.7333333)² + (450 +450.7333333)²+ (1750 +450.7333333)² + (3000 +450.7333333)²]/15 - 1

=$ (- 412.7333333² + -400.7333333² + -400.7333333² + -395.7333333² + -395.7333333² + -355.7333333² + -355.7333333² + -320.7333333² + -270.7333333² + -237.7333333² + -200.7333333² + -100.7333333² + -0.7333333333² + 1299.266667² + 2549.266667²)/15 - 1

= $( 170348.8044+ 160587.2044, 160587.2044+ 156604.8711, 156604.8711+ 126546.2044, 126546.2044+ 102869.8711, 73296.53776+ 56517.13776, 40293.8711+ 10147.20444+ 0.5377777777+ 1688093.872, 6498760.539)/14

= $9527804.935/14

Variance = $680557.4954

c) Standard deviation = √Variance

Standard deviation = √$680557.4954

= $824.9590871

Question 2

Are there any​ outliers, and are they likely to have much of an effect on the measures of​ variation?

Yes, there are outliers present in the given sample data.

These outliers are the largest cost for marriage proposals which are: $1750 and $3000

These largest costs are much bigger than the rest of the​ sample data, and they would likely have much of an effect on the measures of​ variation.

Answer:  4.

Step-by-step explanation:

As you can see from the table in you input 0 into the function your output will be 4.

Answer:

(-4,-1)

Step-by-step explanation:

If a line must be parallel, then its slope must be the same.

Their points can be different, the slope should be same.

So, y = 1/3x - 4

=> We find the slope of the equation:

=> Slope = the number with which "x" is multiplied

=> Slope of this equation = 1/3

So, we need to find the point that makes a slope of 1/3 from (-3, 2)

=> Slope = y/x - y1/x1

=> 1/3 = -3/2 - y1/x1

=> y1/x1 = -3/2 - 1/3

=> y1/x1 = -3-1 / 2-3

=> y1/x1 = -4/-1

So, the point is (-4,-1)

Answer:

8

Step-by-step explanation:

Answer:

90*12=1080

1080*13.2=14256

14256:100=142,56pounds