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d1i1m1o1n [39]
2 years ago
13

The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,00

0 miles and a population standard deviation of 4,000 miles. Suppose you bought a set of four tires; what is the likelihood the mean tire life of these four tires is more than 66,000 miles?

Mathematics
1 answer:
valentinak56 [21]2 years ago
3 0

Answer:

0.0013

Step-by-step explanation:

To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.

Now, the expression to calculate the Z value is the following:

Z = x - μ / (σ/√n)

Where:

μ: mean

σ: standard deviation

x: value required

n: sample population

Now that we have the data, let's calculate the Z value:

Z = 66,000 - 60,000 / (4000/√4)

Z = 3

Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013

Therefore, the likelihood would be 0.0013

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The complete question in the attached figure

we know that

the root mean square speed, is the square root of the average (mean) of all of the square of the speeds of individual particles in a gas.

step 1
find the  square of the speeds of individual particles
2.8²----> 7.84
3.2²---->10.24
5.8²----> 33.64
7.3²----> 53.29
7.4²---> 54.76
average=[7.84+10.24+33.64+53.29+54.76]/5-----> 159.77/5----> 31.954

step 2
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2 years ago
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Your friend is trying to grow her hair as long as her cousin’s hair. The table shows their hair lengths y (in inches) in differe
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<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month      Friends Hair(in)      Cousins Hair(in)
    3                     4                              7
    8                    6.5                            9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

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Substituting for m into equation (1) gives:

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TRUE: right angle = 90°.

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