What is the area of the trapezoid

Line m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?

Nutka1998 [239]

Line p = slope of 1/3

3 0

3 years ago

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 6. The perimeter of the triangle is 51. Find x

dedylja [7]

4(51)-6
x=198 i wanna say that’s the answer

6 0

3 years ago

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

GarryVolchara [31]

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 8.9, \sigma = 2.8$

Item a:

The probability is the <u>p-value of Z when X = 10</u>, hence:

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

$Z = \frac{10 - 8.9}{2.8}$

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the <u>one subtracted by the p-value of Z when X = 5</u>, hence:

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

$Z = \frac{5 - 8.9}{2.8}$

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the <u>p-value of Z when X = 15 subtracted by the p-value of Z when X = 8</u>, hence:

X = 15:

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

$Z = \frac{15 - 8.9}{2.8}$

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

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

$Z = \frac{8 - 8.9}{2.8}$

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0

2 years ago

Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).

ser-zykov [4K]

Answer:

Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

This formula is generated using coordinates and absolute value.

In this question:

(3,-7) and (3,2). So

$D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9$

The distance between these two points is of 9 units.

4 0

3 years ago

Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel

Setler [38]

Answer:

The crossover point for Time $h = 6545 \ room \ nights$

Step-by-step explanation:

From the question we are told that

The total rooms rented for the year is $z = 50 * 365 = 18250 \ rooms$

Time's fixed cost is r = $61,000

Time's variable cost is $y =$ $12.5 per room

Duffy's Maid Service fixed cost is $x =$ $25,000

Duffy's Maid Service variable cost is $k =$ $18.00 per room

The cross over point for Time is mathematically represented as

$h = \frac{r - x}{k- y}$

substituting values

$h = \frac{61000 - 25000}{ 18 - 12.5}$

$h = 6545 \ room \ nights$

3 0

4 years ago