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DerKrebs [107]
2 years ago
11

You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample eq

uals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The hypothesis is to be tested at the 5% level of significance. If the expected frequencies for the classes are equal to 5, what is the critical value of the test statistic?
Select one:

A. 1.645

B. 1.96

C. 7.815

D. 12.592
Mathematics
2 answers:
Lina20 [59]2 years ago
6 0
It’s c because u round
Flauer [41]2 years ago
6 0

Answer:

D

Step-by-step explanation:

Degree of freedom, df is  given by the following

df = (number of rows-1) * (number of columns-1)

Given:

number of rows = 6

number of columns = 3

Hence, df = (6-1) * (3-1) = 10

We will choose the option where the value is greater than or equal to 10,

Hence, Option D is correct.

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Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b
Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = (length)(width)= (20)(8) =160,

The area of the 10 feet long wall = (length)(width)= (10)(8) =80,

The area of the 5 feet long wall = (length)(width)= (5)(8) =40,

The area of the 4 feet long wall = (length)(width)= (4)(8) =32,

The area of the 15 feet long wall = (length)(width)= (15)(8) =120.

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = 432(2)=864 square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = \frac{864}{500} = 1.728 cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0
2 years ago
Sociologists studying the behavior of high school freshmen in a certain state collected data from a random sample of freshmen in
timurjin [86]

Answer:

C

Step-by-step explanation:

Stay safe hope this helps

5 0
2 years ago
Read 2 more answers
Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c
Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

<em><u>Solution:</u></em>

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0
2 years ago
In △ABC,c=71, m∠B=123°, and a=65. Find b.<br><br> A. 101.5<br> B. 117.8<br> C. 123.0<br> D. 119.6
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

8 0
2 years ago
The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship?
MakcuM [25]

Answer:

side length and perimeter of 1 face

area of 1 face and surface area

Step-by-step explanation:

Just did it

4 0
2 years ago
Read 2 more answers
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