Analyze the graph of the function f(x) to complete the statement

Which would neatly fill the gap in the prism shown below? Check all that apply. A prism has a length of 2 and one-half, height o

Simora [160]

Answer:

12 blocks each measuring One-fourth times 1 times 1 and6 blocks each measuring one third times one time 1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need help on this TT

strojnjashka [21]

Answer:

Step-by-step explanation:

4/-2

8 0

3 years ago

M5_A3. The expected project completion time for the construction of a pressure vessel is 18 monthsand the project variance is 7.

snow_tiger [21]

Answer:

a) 0.3520

b) 0.9884

c) 0.1292

d) 0.1292

e) 0.7648

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have that:

The expected project completion time for the construction of a pressure vessel is 18 months. So $\mu = 18$ .

And the project variance is 7. The standard deviation is the square root of the variance, so $\sigma = \sqrt{7}$ .

a) What is the probability that the project will require at least 19 months?

The pvalue of the zscore of $X = 19$ is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.

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

$Z = \frac{19 - 18}{\sqrt{7}}$

$Z = 0.38$

The pvalue of Z = 0.38 is 0.6480.

So the probability that the project will require at least 19 months is 1 - 0.6480 = 0.3520.

b) What is the probability that the project will be completed within 24 months?

This is the pvalue of the zscore of X = 24.

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

$Z = \frac{24 - 18}{\sqrt{7}}$

$Z = 2.27$

The pvalue of Z = 2.27 is .9884. This means that the probability that the project will be completed within 24 months is .9884.

c) What is the probability that the project will require at least 21 months?

Same logic as a). We find the pvalue of the zscore of X = 21, then we subtract 1 by this value.

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

$Z = \frac{21 - 18}{\sqrt{7}}$

$Z = 1.13$

The pvalue of Z = 1.13 is 0.8708.

So the probability that the project will require at least 21 months is 1 - 0.8708 = 0.1292.

d) What is the probability that the project will be completed within 15 months?

Same logic as b). This is the pvalue of the zscore of X = 15.

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

$Z = \frac{15 - 18}{\sqrt{7}}$

$Z = -1.13$

The pvalue of Z = -1.13 is .1292. This means that the probability that the project will be completed within 15 months is .1292.

e) What is the probability that the project will take between 16 and 24 months to complete?

This is the pvalue of Z = 24 subtract by the pvalue of Z = 16.

In b), we found that the pvalue of Z = 24 is .9884

Now we find the pvalue of Z = 16

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

$Z = \frac{16 - 18}{\sqrt{7}}$

$Z = -0.76$

The pvalue of Z = -0.76 is 0.2236

So the probability that the project will take between 16 and 24 months to complete is 0.9884 - 0.2236 = 0.7648

8 0

4 years ago

a store sold 14.00 dollars worth of gift cards in october. the next month the goal was to sell $15.96 worth of gift points. this

solniwko [45]

Subtract 14 from 15.96 to find the increase.
15.96 - 14 = 1.96
Divide 1.96 by 14.
1.96 / 14 = 0.14
In percents that is 14%.
This is an increase of 14%.
Hope this helps!

4 0

3 years ago

Read 2 more answers

Jake is taking four of his friends to dinner. At the restaurant, a meal, side item, dessert, and drink cost $5.60. The first dri

KonstantinChe [14]

It's the third one! Hope this helps:3

3 0

3 years ago