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shepuryov [24]
2 years ago
13

The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 18

5μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
7 0

Answer:193

Step-by-step explanation:193

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The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110.
ololo11 [35]
Μ = 500, population mean
σ = 110, population stadard deviation

The given table is
z  0.00       0.25       0.35      0.45      1.00      1.26       1.35     1.36
P  0.5000  0.5987  0.6368  0.6736  0.8413  0.8961  0.9115  0.9131

Range of random variable is X = [350, 550].

Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869

Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736

The probability that x =[350,550] is 
0.6736 - 0.0869 = 0.5867

Answer:  0.5867  (or 58.7%)

4 0
2 years ago
Read 2 more answers
The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?
Marizza181 [45]

<u>Given</u>:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

<u>Constant of proportionality:</u>

The constant of proportionality can be determined using the formula,

\frac{y}{x}=k

Where k is the constant of proportionality.

Let us consider any of the coordinate from the graph and substitute in the formula.

Consider the coordinate (4,40) and substitute in the above formula.

Thus, we have;

\frac{40}{4}=k

10=k

Thus, the constant of proportionality is 10 meters per second squared.

3 0
2 years ago
Sasha solved an equation, as shown below: Step 1: 8x = 56 Step 2: x = 56 – 8 Step 3: x = 48 Part A: Is Sasha's solution correct
bekas [8.4K]
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
4 0
2 years ago
The segments shown below could form a triangle.
Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0
2 years ago
Clint is in study hall reading the hunger games after 20 minutes he is on page 151 after 45 minutes he's on page 181 how many pa
Mademuasel [1]

After 20 minutes Clint is on page = 151

After 45 minutes Clint is on page = 181

Time slot = 45-20=25 minutes

Difference in pages in 25 minutes = 181-151=30 pages.

Lets suppose Clint is reading each page at same pace.

So , In 25 minutes, he can read = 30 pages

In 1 minute he can read = \frac{30}{25}=1.2 pages

Initial time is 20 minutes, so he can read the number of pages in 20 minutes = 20\times1.2=24

So, number of pages Clint read prior to study hall were =

151-24=127 pages.

6 0
2 years ago
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