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zlopas [31]
2 years ago
13

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 m

inutes and a standard deviation of 3 minutes. What is the probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes, to the nearest thousandth?
Mathematics
1 answer:
Degger [83]2 years ago
7 0

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given mean of 36 minutes and a standard deviation of 3 minutes.

For x = 32:

z = (32 - 36)/3 = -1.33

For x = 37:

z = (37 - 36)/3 = 0.33

P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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8 0
2 years ago
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown
Reil [10]

Answer:

<h2><em>(3,6)</em></h2>

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = (\dfrac{x_1+w}{2},  \dfrac{y_1+y}{2})

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

X = \dfrac{x_1+w}{2} \\2 =  \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3

Similarly;

Y = \dfrac{y_1+y}{2} \\2 =  \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6

<em>Hence the other endpoint (w, y) is (3,6)</em>

8 0
3 years ago
A glacier flows at a rate of 20 meters per day. What is the flow rate in kilometers per year?
Maurinko [17]
7.3 km/y
at least if i did this correctly but that's always a stretch.

because it takes 50 days to complete a km
so 365/50 = 7.3
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3 years ago
Given f(x) = sin x and g(x) = cos x, find f(g(pi/2)) = 0. show all steps.
Nana76 [90]
Heya !

Check the attachment.
Hope it helps you :)

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Which of these is the algebraic expression for "4 times the sum of 2 and y?"
Volgvan

Answer:

4(2 + y)

Step-by-step explanation:

"4 times the sum of 2 and y".

<h3>Hope it is helpful...</h3>
5 0
3 years ago
Read 2 more answers
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