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sweet-ann [11.9K]

4 years ago

8

A car tire is spinning a complete revolution every 0.60 seconds. The valve stem is 2 inches above ground at its lowest point and

26 inches at it's highest. Describe the height of the valve stem as a function of time (seconds) if it begins at the bottom.

1 answer:

finlep [7]4 years ago

5 0

Answer:

Step-by-step explanation:

What is the amplitude, ||, of the height and co-height functions for this car tire

|| = 6

Let () represent the co-height function after rotation by radians, and let () represent the height function after rotation by radians. Write functions for the co-height and for the height in terms of .

() = ()

() = ()

The co-height graphs are the same but translated 2 inches upward

so our function is:

() = () + 2 or

() = () + 2

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Please Solve thank you! :)

Ghella [55]

Answer:

5 milliliter per second

55 seconds

Step-by-step explanation:

first question:

275 - 210 = 65 ml

65 ml : 13 seconds = 5 ml per second

second question:

275 ml : 5 ml = 55 seconds

5 0

4 years ago

Question Help Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a

koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So $\mu = 5656, \sigma = 333.3$

(a) What proportion of light bulbs will last more than 6262 hours?

The pvalue of the z-score of $X = 6262$ is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6262 - 5656}{333.3}$

$Z = 1.82$

$Z = 1.81$ has a pvalue of .96562. This means that 96.562% of the light bulbs are going to last less than 6262 hours. So

$P = 100% - 96.562% = 3.438%$ of the light bulbs will last more than 6262 hours.

(b) What proportion of light bulbs will last 5252 hours or less?

This is the pvalue of the zscore of $X = 5252$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5252- 5656}{333.3}$

$Z = -1.21$

$Z = -1.21$ has a pvalue of .1131. This means that 11.31% of the light bulbs will last 5252 hours or less.

(c) What proportion of light bulbs will last between 5858 and 6262 hours?

This is the pvalue of the zscore of $X = 6262$ subtracted by the pvalue of the zscore $X = 5858$

For $X = 6262$ , we have that $Z = 1.81$ with a pvalue of .96562.

For X = 5858

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5858- 5656}{333.3}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of .72907.

So, the proportion of light bulbs that will last between 5858 and 6262 hours is

$P = .96562 - .72907 = .23655$

23.655% of the light bulbs are going to last between 5858 and 6262 hours.

(d) What is the probability that a randomly selected light bulb lasts less than 4646 hours?

This is the pvalue of the zscore of $X = 4646$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4646- 5656}{333.3}$

$Z = -3.03$

$Z = -3.03$ has a pvalue of .0012. This means that 0.12% of the light bulbs will last 4646 hours or less.

5 0

3 years ago

Is the function f(x)=<br> –<br> 2<br> 7<br> +<br> 1<br> 8x<br> linear or nonlinear?

g100num [7]

Answer:

as long as the equation has no exponents or square roots it is linear

Step-by-step explanation:

7 0

3 years ago

If g(x) = x2 – 4, find g(5).<br> 6<br> О<br> 14<br> 21<br> O<br> 29

Sladkaya [172]

$\boxed{ \sf{Answer}}$

$\sf \: g(x) = {x}^{2} - 4 \\ \\ \sf \: x = 5 \\ \\ \sf \: g(5) = {5}^{2} - 4 \\ \sf \: g(5) = 25 - 4 \\ \sf \: g(5) =\underline 2\underline1$

Answer ↦<u>21 [Option C]</u>

6 0

3 years ago

Read 2 more answers

A house is octagon-shaped, and each side measures 22 feet long. How many lineal feet of exterior wall does this house have

trapecia [35]

Length of each side is 176 feet ² .

<h3>What is octagon ?</h3>

A polygon of eight angles and eight sides.
It has eight lines of reflective symmetry and rotational symmetry of order 8. A regular octagon is represented by the Schläfli symbol {8}.
The internal angle at each vertex of a regular octagon is 135° ( radians). The central angle is 45° ( radians).

each side of house = 22 feet long

Perimeter of octagon = 8 × sides

Length of each side of house = 8 × 22 ⇒ 176 feet²

Therefore, length of each side is 176 feet ² .

Learn more about Octagon

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4 0

2 years ago