PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2

Answer:

first x= -2

second x= 2

third x= 4

Answer:

14

Step-by-step explanation:

[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]

Answer:

your answer is 41.6667

Answer:

41 2/3 yards

Step-by-step explanation:

Divide by 3 because 3ft in one yard

125 / 3 = 41 2/3 yards

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

Answer:

4y=20

y=20/4

y=5

Step-by-step explanation:

Hope this helps u!!

Answer:

sqrt 4^2+3^2=5

Answer: B. objective is expressed in terms of the decision variables

Step-by-step explanation:

Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.

The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.

Therefore, the correct option is B

Answer:

a)

The null hypothesis is [tex]H_0: p = 0.91[/tex].

The alternate hypothesis is [tex]H_1: p < 0.91[/tex].

The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

[tex]H_0: p = 0.91[/tex]

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

[tex]H_1: p < 0.91[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

0.91 is tested at the null hypothesis:

This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]

[tex]z = -1.79[/tex]

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Answer:

x=6

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

6x=36

÷6 ÷6

x=6

hope this helps,have a great day!!

~Pinky~

Answer:

add 5/10+3/4+1/2 you add number i will give you hint

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

Answer:

452.4 cm^2

Step-by-step explanation:

[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]

I hope that is useful for you :)

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

9514 1404 393

Answer:

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

Answer:

48 m³

4,186.67 km³

Step-by-step explanation:

volume of pyramid =

⅓×6×6×4 = 48 m³

volume of ball =

4/3 × 3.14 × 10³ = 4,186.67 km³

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

Answer: z=25 x=114

Step-by-step explanation:

Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Answer:

bolts=12g and washers=7 g

Step-by-step explanation:

honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help