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3 years ago

Plz help me i need it

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer: $\bold{d)\quad f^{-1}(x)=\dfrac{e^x}{5}}$

Step-by-step explanation:

To find the inverse, swap the x's and y's and solve for y. Note: f(x) is y

$y = ln(5x)\\\\\text{Swap the x's and y's:}\\x=ln(5y)\\\\\text{Apply e to both sides:}\\e^x=e^{ln(5y)}\\\\e^{ln}\ \text{cancels out:}\\e^x=5y\\\\\text{Divide both sides by 5:}\\\dfrac{e^x}{5}=y\\\\\large \boxed{f^{-1}(x)=\dfrac{e^x}{5}}$

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An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

$1.34 = \frac{X - 72.3}{8}$

$X - 72.3 = 1.34*8$

$X = 83$

The minimum score required for an A grade is 83.

5 0

3 years ago

Someone please help me with this

mina [271]

Answer:

The answer is 42.

Step-by-step explanation:

5n - 13 = 42

5n = 42 + 13

5n = 55

n = 11

explanation about the solution = The angles formed by the segments measuring 42 and 5n - 13 are equal in measure which means the segments are as well.

5 0

3 years ago

I NEED THE ANSWER ASAP PLEASE HELP!!

maksim [4K]

Answer:C

Explanation:none

8 0

3 years ago

Pls hurry I’m being timed

Ksju [112]

I believe the answer is “A”

7 0

3 years ago

Read 2 more answers

Please help, I need to get this done! I need to get number 16, 17, and 18 done please help!!!!

Tresset [83]

Answer:

16) 62.8 m²

17) 19.4 m²

18) 103.5 m²

Step-by-step explanation:

The formula to find area of a circle is: $\pi r^{2}$ . To find radius, find the half of the diameter.

To solve number 16, first find the area of the unshaded circle using the formula: $\pi 4^{2}$ . This is also 3.14*16. Multiply to get 50.24 m². Now find the area of the larger circle using the formula: $\pi 6^{2}$ . This is also 3.14*36. Multiply to get 113.04 m². Now subtract 113.04 - 50.24 to get the shaded area or 62.8 m².

To solve number 17, first find the area of the square using the formula: side x side. In this case multiply: 5.25 x 5.25 to get 27.5625. Round to the nearest tenth to get 27.6 m². Now find the area of the circle using the formula: $\pi 2.625^{2}$ . This is also 3.14*2.625. Multiply to get 8.2425. Round to the nearest tenth to get 8.2. Subtract 27.6 - 8.2 to get 19.4 m².

To solve number 18, find the area of one unshaded circle using the formula: $\pi 1.75^{2}$ . This is also 3.14*3.0625. Multiply to get 9.61625. Round to the nearest tenth to get 9.6 m². Add 9.6 + 9.6 to find the area of both unshaded circles. You get 19.2 m². Now find the area of the shaded circle using the formula: $\pi 6.25^{2}$ . This is also 3.14*39.0625. Multiply to get 122.65625. Round to the nearest tenth: 122.7. Subtract 122.7 - 19.2 to get 103.5 m².

Hope it helps and is correct!

5 0

3 years ago