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mina [271]
1 year ago
11

The top-selling Red and Voss tire is rated 60000 miles, which means nothing. In fact, the distance the tires can run until wear-

out is a normally distributed random variable with a mean of 70000 miles and a standard deviation of 7000 miles.
Mathematics
1 answer:
defon1 year ago
8 0

A) The probability that the tyre wears out before 60000 miles is 0.4221

B) The probability that the tyre lasts more than 83000 miles is 0.49534

The distance the tyres can run until wear-out is a normally distributed, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = the distance the tyres can run until wear-out

u = mean distance

s = standard deviation

From the information given,

u = 70000 miles

s = 7000 miles

A) We want to find the Probability that the tyre wears out before 60000 miles. It is expressed as

P(x lesser than 60000)

For x = 60000,

z = (60000 - 70000)/7000 = - 1.42

Looking at the normal distribution table, the corresponding z score is 0.4221

B)We want to find the probability that the tyre lasts more than 83000 miles. It is expressed as

P(x greater than 83000) = 1 - P(x lesser than or equal to 83000)

For x = 83000,

z = (83000 - 70000)/5000 = 2.6

Looking at the normal distribution table, the corresponding z score is 0.49534

P(x greater than 83000)

= 1 - 0.49534  = 0.50466

To know more about probability check the below link:

brainly.com/question/24756209

#SPJ1

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Answer:

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Step-by-step explanation:

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Then surface area S = x2 + 4xh because box is open.

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Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

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2 years ago
Re-write the quadratic function below in Standard Form<br> y = -9(x - 1)(x + 2)
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Answer:xryuvb

Step-by-step explanation:

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3 years ago
Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number
laila [671]

Answer:

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

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3 years ago
Read 2 more answers
Two or more basic geometic figures may be combined to form what
Katyanochek1 [597]
The correct answer to the question that is being asked and presented above would be 'composite'. If there are two or more basic geometric figures combined, they form what is called a 'composite' figure. 
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GrogVix [38]

Answer:

As many as 7 apples or as few as 4 apples could be green.

Step-by-step explanation:

Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples could be green?​

x = total number of red apples

y = total number of green apples

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That means that 3 or less of the apples are red

So, 7 - 3 = 4

That means that 4 or more apples are green.

7≥y≥4

That means that as many as 7 apples or as few as 4 apples could be green.

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3 years ago
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