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4 years ago

How do I solve this equation -9x+1=80

2 answers:

6 0

-9x + 1 = 80....subtract 1 from both sides
-9x + 1 - 1 = 80 - 1...simplify
-9x = 79...divide both sides by -9
x = -79/9 <== ur answer

Ber [7]4 years ago

3 0

-9x+1=80
Subtract 1 both sides.
-9x=79
Then divided by -9
The answer is -8.77 or -8.8

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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

Find the surface area of the cube. 5 ft S.A. = [?] ft? 5 ft A Hint: A cube has 6 square faces. Find the area of one face, then m

atroni [7]

First, let's find the area of one face of the cube.

Area = base x height

A = 5 x 5 = 25

There are 6 faces on a cube, so we can multiply the area of one face by 6 to get the total surface area.

SA = 25 x 6 = 150 ft^2

Hope this helps!

4 0

3 years ago

Need help now plz thank u

Phantasy [73]

Hello! I want to say that I am sorry if I said/did anything to be rude to you guys. So, I will answer this question in a way of saying sorry.

The correct answer is Option C. 17.

I hope this helps. Have a nice day! And if you don't mind, I really need brainlest.

7 0

3 years ago

Read 2 more answers

Determine the volume of a cube with sides of 30mm

Svetllana [295]

Answer: Hello, your answer would be $2.7x10^-5m^3$

Step-by-step explanation:

$30mm$

$a=0.03m$

$V=a^3=0.03^3=2.7x10^-5m^3$

(the answer is also in the picture)

4 0

2 years ago

Read 2 more answers

What is the remainder of x^3+4x^2-7x+k divided by (x-2) k+22 10-k k k+10

Alexeev081 [22]

Answer:

The answer to your question is: k + 10

Step-by-step explanation:

x³ + 4x² - 7x + k divided by (x - 2)

Using synthetic division

1 4 - 7 k 2

2 12 10

1 6 5 k + 10

x² + 6x - 5 remainder = k + 10

4 0

4 years ago