Please help me with this system of equations problem. No virus links of any kind. ​

Answer:

The test statistic is [tex]z = -0.28[/tex]

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

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.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]

13 of 30 at the other had this infection.

This means that:

[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

And at the alternate hypothesis, we test if there is difference, that is:

[tex]H_a: p_1 - p_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]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]

Value of the test statistic:

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

[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]

[tex]z = -0.28[/tex]

The test statistic is [tex]z = -0.28[/tex]

Answer:g

Step-by-step explanation:

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (9,7,3) and (5,3,2), hence:

[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]

The distance between the two points is of 5.7 units.

The midpoint is the mean of the coordinates, hence:

The midpoint is (7, 5, 2.5).

More can be learned about the distance between two points at https://brainly.com/question/18345417

Answer:

68% of the population will have a height between 64 and 72 inches

Step-by-step explanation:

According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

Answer:

1. 21, 22

2.29,30

Step-by-step explanation:

1. m+4>24

subtract both sides by 4

m>20

Two values that are greater than 20 are 21 and 22.

2. 7<x/4

multiply both sides by 4

28<x

Two values that are greater than 28 are 29 and 30.

Answer:

The monthly payments of said financing plan will be $8.33.

Step-by-step explanation:

To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:

100/12 = X

8.33 = X

Therefore, the monthly payments of said financing plan will be $8.33.

Answer:

Step-by-step explanation:

hope this help

Answer: the super market is cheaper

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

Answer:

answer: 85

Step-by-step explanation:

These add up to 360 and

85 + 85 + 95 + 95 = 360 so 85 is the answer.

Hope that helps!

Answer: 4.5

Step-by-step explanation:

9/2 = 4.5

have a good day. you have to use division, and plus, 4.5 + 4.5 = 9

Answer:

c. 45d+.25m

Step-by-step explanation:

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

Answer:

diagonally.

Step-by-step explanation:

the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?

Answer:

x = -2

x = -1

x = 0

Step-by-step explanation:

Find three numbers to the left of -3 on the number line

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

Answer:

by SSS axiom

hope it helps.

Answer:

Step-by-step explanation:

Yes

the two sides that are marked make 2/3 of the sides needed for SSS

The line shared by both triangles make the third side.

Answer: SSS

Answer:

B, C and F

Step-by-step explanation:

Negative numbers go farther and father to the left on a number line the higher in value they get.

Answer:

this may help you.look it once

Step-by-step explanation:

.

Answer:

30%

Also I LOVE THE EMMA PIC!!!!!!!!

Answer:

148

Step-by-step explanation:

59.2/100x250

Answer:

a.1 1 2 3

2'4'5'10 that is ig

Answer:

lateral surface area of the cone = 829.0ft²

Hence the total surface area is 1,208.9ft²

Step-by-step explanation:

lateral surface area of the cone = πrl

l is the slant side = 24ft

r is the radius = 11ft

lateral surface area of the cone = π(11)(24)

lateral surface area of the cone = 3.14 * 264

lateral surface area of the cone = 828.96ft²

lateral surface area of the cone = 829.0ft²

Total surface area = πr(r+l)

r is the radius = 11ft

l is the slant side = 24ft

Total surface area = π(11)(11+24)

Total surface area = π(11)(35)

Total surface area = 3.14 * 385

Total surface area = 1,208.9ft²

Hence the total surface area is 1,208.9ft²

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

======================

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]