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vfiekz [6]
3 years ago
8

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

inutes and a standard deviation of 4 minutes. Using the empirical rule, what percentage of customers have to wait between 10 minutes and 26 minutes?
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

95% of the customers  have to wait between 10 minutes and 26 minutes

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minute

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Now, we can write:

10 = 18-2(4) = \mu - 2(\sigma)\\26 = 18+2(4) = \mu + 2(\sigma)

Thus, by empirical formula, 95% of the data lies within two standard deviations of the mean.

Thus, 95% of the customers  have to wait between 10 minutes and 26 minutes

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75 cm

Step-by-step explanation:

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b*h*.5

We know that the height of the triange is three times the base and that the area is 937.5

This means that

b*3b*.5=937.5

We can combine this and get 1.5b^2=937.5

We can then divide by 1.5 to get b by itself

b^2=625

Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)

So we know that b=25 and that h=3b which means that the height is 75 cm

5 0
3 years ago
Solve: the quantity 2x minus 10 divided by 4 = 3x
AleksAgata [21]

Answer:

x=-2.5

Step-by-step explanation:

2x-10÷4=3x

2x-2.5=3x

-2.5=x

7 0
3 years ago
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a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is​
AleksandrR [38]
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3 years ago
Use the given graph of f to estimate the intervals on which the derivative f ' is increasing or decreasing. (Enter your answers
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The derivative of a function is used to determine whether the function is increasing or decreasing on any intervals in its domain.

Derivative of function f is increasing in interval  (-2 , 1) and (3 , 6)

Derivative of function f is decreasing in interval (1 , 3) and (6 , 9)

If f′(x) > 0 at each point in an interval , then the function is said to be increasing in that interval.

If f′(x) < 0 at each point in an interval , then the function is said to be decreasing on that interval.

By observing graph, it is observed that slope  of function f is positive in interval  (-2 , 1) and (3 , 6) . Hence, derivative of  function f is increasing in interval  (-2 , 1) and (3 , 6)

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Learn more:

brainly.com/question/14330051

5 0
2 years ago
Really need help with this question ASAP!!!
Leya [2.2K]
H=-5(t^2 - 16t)

H=-5(t^2 - 16t +64)+320

H=-5(t-8)^2 +320

Vertex is at (8, 320)

The max height is 320 m.
4 0
3 years ago
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