Use this picture to answer the questions below.

ankoles [38]

Answer:

.

Step-by-step explanation:

OKAY, IM DOING A TEST WITH THIS QUESTION IM PRETTY SURE U NEED TO 4/23+5/14 AND WHATEVER THAT = YOU THEN SUBTRACT 8/12 AND I FORGOT HOW TO DO THE DARN ADDING-

3 0

3 years ago

1) √32<br> A) 3V2<br> C) 4V2<br> B) 4V6<br> D) 2V6

Kitty [74]

Bra where’s the question

6 0

3 years ago

Read 2 more answers

Amy can mop the store in 30 minutes. James can mop the store in 45 minutes. How long would it take them if they worked together?

zavuch27 [327]

Solve the equation 1/30 + 1/45 = 1/x

where x is the required time

multiply thru by 90x:-

3x + 2x = 90

x = 90 / 5 = 18

answer 18 minutes

5 0

3 years ago

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

lana [24]

First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2

x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.

(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0

The answer is first option.

5 0

3 years ago

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quar

kotykmax [81]

Answer:

a

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to show that there is a difference between the performances of these two models

b

The 95% confidence interval is $0.224 < \mu_1 - \mu_2 < 2.776$

Step-by-step explanation:

From the question we are told that

The sample size is n = 36

The first sample mean is $\= x_1 = 11.4$

The first standard deviation is $s_1 = 2.5$

The second sample mean is $\= x_2 = 9.9$

The second standard deviation is $s_2 = 3.0$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu_1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }$

=> $z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }$

=> $z = 2.3$

From the z table the area under the normal curve to the left corresponding to 2.3 is

$P( Z > 2.3 ) = 0.010724$

Generally the p-value is mathematically represented as

$p-value = 2 * P( Z > 2.3 )$

=> $p-value = 2 * 0.010724$

=> $p-value = 0.02$

From the value obtained we see that $p-value < \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}}$

=> $E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}$

=> $E = 1.276$

Generally 95% confidence interval is mathematically represented as

$( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E$

=> $( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276$

=> $0.224 < \mu_1 - \mu_2 < 2.776$

4 0

3 years ago