Need help. Please Finish graph

Tell whether x and y are in a proportional relationship. if so, find the unit rate. Let y be the temperature x hours after midni

lesantik [10]

C. yes, 4 degrees F per hour

3 0

3 years ago

Suppose the length of telephone calls form a normal distribution with a mean length of 8.0 min and a standard deviation of 2.5 m

ikadub [295]

Answer:

(A) 0.0013

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 8, \sigma = 2.5$

The probability that telephone call selected a random will last more than 15.5 min is most nearly

This is 1 subtracted by the pvalue of Z when X = 15.5.

So

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

$Z = \frac{15.5 - 8}{2.5}$

$Z = 3$

$Z = 3$ has a pvalue of 0.9987

1 - 0.9987 = 0.0013

So the correct answer is:

(A) 0.0013

8 0

3 years ago

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

schepotkina [342]

Answer:

a. The function is increasing for all real values of x where x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = $-x^{2} - 8x -12$

We will convert to vertex form

$f(x) = -(x+4)^{2} + 4$

Let analyse other possible answers:

a. The function is increasing for all real values of x where x < –4.

True, because the parameter a = - 1 so the graph open down all over its domain

b. The function is increasing for all real values of x where –6 < x < –2.

Wrong, the function decrease in the interval from –4.< x < -2

c. The function is decreasing for all real values of x where x < –6 and where x > –2.

Wrong, the function increase in the interval from -6 < x < -4

d. The function is decreasing for all real values of x where x < –4.

Wrong, The function is increasing for all real values of x where x < –4.

7 0

3 years ago

Read 2 more answers

Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44

Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

$s=r\theta$

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

$c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43$

So, radius = 6.34

Now, finding central angle:

$s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians$

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

#learnwithBrainly

5 0

3 years ago

What is the cube number that equals 6

Crazy boy [7]

Answer:

6 Cubed

=

216

Step-by-step explanation:

6 Cubed

=

216

4 0

3 years ago

Read 2 more answers