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lozanna [386]
2 years ago
6

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probabil

ity distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?
Mathematics
1 answer:
serg [7]2 years ago
6 0

Answer:

The probability is  P(X <  25) =  0.308

Step-by-step explanation:

From the question we are told that

   The amount of time is uniform probability distribution between 21 and 38 minutes.

  Given that the amount of time is uniformly distributed then  the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

           P(X <  25) =  \frac{ 25 -  21}{38 -  21}

=>       P(X <  25) =  0.308

     

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Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive
Tasya [4]

Answer:

4. A) \displaystyle x + 4 ≥ 7

3. A) \displaystyle x + 650 ≥ 1500; x ≥ 850

2. D) \displaystyle 0,95(9) + 1,25b ≤ 25

1. C) \displaystyle 8x + 45 < 12x + 5

Step-by-step explanation:

4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords <em>at</em><em> </em><em>least</em><em> </em>$1500<em> </em>mean <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>$1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use <em>less than</em><em> </em><em>or equal</em><em> </em><em>to</em><em> </em>because overpaying is UNNECESSARY.

1. <em>Eight</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>and <em>twelve</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>is <em>12x</em><em> </em>and <em>8x</em>.<em> </em>The rest is straightforward simple because you now have your <em>initial</em><em> </em><em>costs</em><em> </em>of <em>$</em><em>45</em><em> </em>and <em>$</em><em>5</em>,<em> </em>and the exercise tells you that the total charge for Company A is <em>less than</em> the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

3 0
2 years ago
Read 2 more answers
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
2 years ago
Jack has a 8-ft long board. he cut off 1/6 of it how long is the remaining piece in feet and inches
mars1129 [50]
First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.

Length of cut = 8(1/6) = 4/3 ft

So, the remaining length would be:
Remaining length = 8 ft - 4/3 ft = 20/3 ft or that's 6 and 2/3 ft.

Since there are 12 inches in 1 ft:
2/3 ft * 12 in/ft = 8 inches

Thus, the remaining length is 6 ft and 8 inches.
7 0
2 years ago
Kate deposits $800 in a bank
Rina8888 [55]

Answer:

C

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interest

P = rpincipal

r = rate (as decimal)

t = time (in years)

In your case,

P = $800

r = 0.04 (4%)

t = 5,

so

I=\$800\cdot 0.04\cdot 5\\ \\I=\$160

6 0
2 years ago
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,
lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

k=y/x

For the point (-1,-4)

substitute

k=-4/-1

k=4

For the point (1,4)

substitute

k=4/1

k=4

The linear equation is  

y=4x

This line represent a direct variation

6 0
2 years ago
Read 2 more answers
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