Please need help quick, trigonometry

Are 4(2x-6) and 8x-24 equal?If they are how?

marta [7]

Yes because when you distribute the 4 to the 2x and -6 it equals 8x-24.

6 0

4 years ago

A researcher sends out a survey to 740 subjects by mail and receives completed surveys from 65% of the subjects. How many survey

damaskus [11]

Just do 740 times .65 which is 481

4 0

3 years ago

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 157.4 seconds. A

Oduvanchick [21]

Answer:

a) The probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds is 5.59%.

b) The probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive-through is 12.71%

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.

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 157.4 seconds. This means that $\mu = 157.4$

Assuming drive-through times are normally distributed with a standard deviation of 33 seconds. This means that $\sigma = 33$ .

(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds?

This probability is the pvalue of the zscore of $X = 105$

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

$Z = \frac{105 - 157.4}{33}$

$Z = -1.59$

$Z = -1.59$ has a pvalue of .0559. This means that there is a 5.59% probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds,

(b) What is the probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive-through?

This is 1 subtracted by the pvalue of the zscore of $X = 195$ .

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

$Z = \frac{195 - 157.4}{33}$

$Z = 1.14$

$Z = 1.14$ has a pvalue of .87286. This means that there is a 87.286% probability that a randomly selected car will get through the restaurant's drive-through in less than 195 seconds.

So the probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive through is

$P = 1 - .87286 = .1271$

7 0

3 years ago

Suppose that a bike for $12 plus $ 1.60 per hour. What is the slope ?

frosja888 [35]

Answer:

Slope = 1.60

Step-by-step explanation:

y = 1.60x + 12

$12 - This would be the y-intercept

$1.60 - slope since it is the amount needed to pay each hour.

Hope this helps!

7 0

3 years ago

Is 4 a solution to the inequality x>0 and x< 7

nadezda [96]

Hi,

4 > 0, it's correct so 4 is a solution.

0 < 7 , the same as the first.

3 0

3 years ago

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