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2 years ago

Work out the inverse function y=x-2

Mathematics

2 answers:

AURORKA [14]2 years ago

7 0

Answer:

x + 2

Step-by-step explanation:

Replace the x with y.

Making is x = y -2

Solve for x=y-2

and you get x+2

marissa [1.9K]2 years ago

7 0

Answer:

x+2

Step-by-step explanation:

When doing inverse functions, you switch the x and y.

x = y-2

Then you solve for y (add the 2 to the other side to get "y" by itself)

y = x+2

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A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let $\bar X$ = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

4 0

3 years ago

Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we

lord [1]

Answer:

b. 8,800,000.

Step-by-step explanation:

In maria study the number of cars on the road increases by 10% each year.

Total number of cars in the first year =80 million cars.

We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.

For year 2 we have;

10% of 80,000,000+80,000,000

$\frac{10}{100}*80,000,000+80,000,000$

8,000,000 + 80,000,000

88,000,000

number of cars in year 2 = 88 million

We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.

$\frac{10}{100}*88,000,000+88,000,000$

8,800,000+88,000,000

96,800,000

the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000

or simply subtract the number of cars in year 2 from that in year 3;

96,800,000-88,000,000 = 8,800,000

8 0

4 years ago

Read 2 more answers

Consider the equation 5/3v +4 + 1/3v = 8. What is the resulting equation after the first step in the equation?

Fed [463]

I hope this helps you

5+1/3v=8-4

6/3v=4

2/v=4

v=2/4

v=1/2

4 0

3 years ago

HELP PLEASE!!!!!!!!!!!!

Serggg [28]

C = total cents
C = 30 + n
I think that's it. Hope it helps you.

8 0

3 years ago

4.) Katrina is reading a book that has 384 pages. If she reads 12 pages a day, how many days will it

JulsSmile [24]

384 / 12 = 32.

Long division.

4 0

3 years ago