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Ostrovityanka [42]
4 years ago
5

Shorty’s Muffler advertises it can install a new muffler in 30 minutes or less. However, the work standards department at corpor

ate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less. The Maumee branch installed 50 mufflers last month. If the corporate report is correct: How many of the installations at the Maumee branch would you expect to take more than 30 minutes?
Mathematics
1 answer:
pav-90 [236]4 years ago
7 0

Answer:

The installations at the Maumee branch would you expect to take more than 30 minutes is 10.

Step-by-step explanation:

Consider the provided information.

Let x is the installations at the Maumee branch take more than 30 minutes.

The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.

Therefore, π=0.20

The Maumee branch installed 50 mufflers last month.

Thus, n=50

Mean of the distribution: μ=nπ

Substitute the respective values in the above formula.

μ=(50)(0.20)

μ=10

Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.

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Please help<br>A. 145<br>B. 125<br>C. 165<br>D. 135​
Effectus [21]

Your answer would be D. 135

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3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y
andriy [413]

Answer:

Step-by-step explanation:

We want a line parallel to 3x − 4y = 7.  Any such line will have an equation of the same form but a different constant.

If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2.  We obtain:

3(-4) − 4(-2) = -12 + 8 = -4.  Thus, the desired new equation is 3x − 4y = -4.

This could also be written as 3x − 4y + 4 = 0.  We could also solve this for y, obtaining:

3x + 4 = 4y, or  y = (3/4)x + 1.

8 0
3 years ago
Read 2 more answers
According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.
UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0
4 years ago
Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes.
Taya2010 [7]

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

6 0
3 years ago
Factor out the polynomial 12m^2-m-35
Darina [25.2K]
Hey there!!

Okay here is how you solve this... first you look for factors of 12 and 35... for example...

12m² - m - 35
<u>(4m - 7)(3m + 5)</u><u />            <---- This is the factored form!<u>

</u>m = 7/4 and -5/3
<u />

I hope this helps! ^__^
6 0
3 years ago
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