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Sholpan [36]
3 years ago
13

The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt

ery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour. Suppose one battery will be selected at random. Which of the following is closest to the probability that the selected battery will have a life span of at most 2.1 hours?
Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Answer:

0.0548

Step-by-step explanation:

The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.

To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using

z =  \frac{x -  \mu}{ \sigma}

We substitute the values to get:

z =  \frac{2.1 - 2.5}{0.25}  =  - 1.6

We read read -1.6 from the standard normal distribution table to get:

P(X≤2.1)=0.0548

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7 divided by 2-4.5 multiplied by 3+8
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Answer:

-2

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(7/2)-(4.5* 3) +8= -2

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The sum of 55+66 as the product of their gcf and another sum
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2 years ago
James has decided to start saving for a cruise over the summer. His money is currently in the local bank modeled by the function
IgorLugansk [536]

Answer:

s ( x ) = 102,  a ( x ) = 8 ( x + 2 )

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7 0
3 years ago
Help its geometry...............
Digiron [165]

m GH = 57''

________


tan 39° = opposite / adjacent

tan 39° = m GH / m HJ

tan 39° *  m HJ = m GH

m HJ = m GH / tan 39°

m HJ ≈ 57'' / 0.810

m HJ ≈ 70.4''    <——<span>—    measure of the segment HJ</span>

________


sin 39° = opposite / hypotenuse

sin 39° = m GH / m GJ

sin 39° * m GJ = m GH

m GJ = m GH / sin 39°

m GJ = 57'' / 0.629

m GJ ≈ 90.6''    <———    measure of the segment GJ

________


So the perimeter is

p  =  m GH  +  m HJ  +  m GJ

p  =  57''  +  70.4''  +  90.6''

p  =  218''    <——<span>—    this is the answer.</span>


I hope this helps. =)


Tags:  <em>perimeter right triangle sine cosine tangent sin cos tan trig trigonometry geometry</em>

7 0
3 years ago
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