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dimulka [17.4K]
4 years ago
14

The random variable x is the number of vehicles that pass through an intersection in a 30-minute interval. It can be assumed tha

t the probability of an occurrence is the same in any two time intervals of an equal length. It is known that the mean number of occurrences in 30 minutes is 9. What is the expected value of the random variable x?
Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
8 0

Answer:

9 is the correct answer to the given question .

Step-by-step explanation:

AS mention  in the question the random variable x is the number of vehicles that passing through the intersection in the 30-minute .So we concluded that it is normal distribution because in the normal distribution the variable values are divided .

In the Normal distribution  

Mean \ number\ =\ Expected\  value\ \\Here Mean number\ =\ 9

Therefore the Expected value =9.

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A flashlight costs $12.00. The sales tax is 6%. What is the amount of the sales tax?
oksano4ka [1.4K]
12.00x0.06, which is 0.72, so the sales tax is 72 cents. Basically, what you do to answer these kinds of questions is divide the percentage by 100 (6/100=0.06), because the percentage is out of 100%. Then you multiply that number by the price to get the sales tax. If you wanted to find the total price, add the tax you found to the original price ( in this case would give us $12.72 )

Hope this helps!
5 0
4 years ago
If you have 120 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest are
Tems11 [23]
The area of rectangular is  A= length x width
 
  120 feet of fancing = ---------------------------------- (the above line)


        !-----------------------------------------!                                     
        !                                                   !
     x !   the enclosed area                 ! x
        !                                                   !
        !---------------------------------------- !
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4 0
3 years ago
The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
NARA [144]

Answer:

<h2>132.25π  m²</h2>

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

7 0
3 years ago
Read 2 more answers
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Anna11 [10]
Here is the answer:

3 0
3 years ago
Would the base be the 12 in??
3241004551 [841]
To find volume use the formula  L × W × H = V
 
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W = width
H = height
V = volume

Hope this helps
4 0
3 years ago
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