Need help with this math problem

A business office orders paper supplies from one of three vendors, V₁, V₂, or V₃. Orders are to be placed on two successive days

Dafna1 [17]

Answer:

a) P(A) = 0.33

b) P(B) = 0.56

c) P(AUB) = 0.78

d) P(A∩B) = 0.11

Step-by-step explanation:

7 0

3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

6 0

2 years ago

Which represents the solution set of the inequality 5x-9 less than or equal to 21

elena-14-01-66 [18.8K]

Answer:

x ≤ 6

Step-by-step explanation:

5x - 9 ≤ 21

Step 1. Add 9 to both sides

5x ≤ 30

Step 2. Divide it all by 5

x ≤ 6

3 0

3 years ago

Read 2 more answers

Min knows that Pi times r = 9.42 centimeters. What would she need to do to find the area?

Alinara [238K]

Answer:

The area of the circle is 28.26.

Step-by-step explanation:

πr =9.42

Using that, we can find the radius, which will help us find the area of the circle.

9.42/π = 3 (I used 3.14 for π)

The formula for area of a circle is:

πr^2

Plug our values in.

π(3^2)

9π

28.26

The area of the circle is 28.26.

To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.

5 0

3 years ago

Read 2 more answers

What is the third quartile of the following data set 24,20,35,39,28,42,25,29,44,21,37

strojnjashka [21]

First, arrange the data:

20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44

You can use the formula 3/4 multiplied by the number of data + 1 to find the position of the 3rd quartile.

so it's going to be 3/4 x (11+1) = 9th position

the number in 9th position is 39 so that's the 3rd quartile

5 0

3 years ago