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2 years ago

If g(x ) = 3x - 5, then g -1(x )=

1 answer:

6 0

G(x) = 3x - 5

let g(x) = y

y = 3x - 5

y + 5 = 3x

3x = y + 5

x = (y + 5)/3

From y = g(x), x = g⁻¹(y)

x = (y + 5)/3

g⁻¹(y) = (y + 5)/3

g⁻¹(x) = (x + 5)/3

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What is the area of the partial circle with a radius of 8 cm? Use 3. 14 for pi.

Olegator [25]

Radius=r=8cm

$\\ \tt\hookrightarrow Area=\pi r^2$

$\\ \tt\hookrightarrow Area=\pi 8^2$

$\\ \tt\hookrightarrow Area=64\pi$

$\\ \tt\hookrightarrow Area=64(3.14)$

$\\ \tt\hookrightarrow Area=200.96cm^2$

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2 years ago

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In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s

Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

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:

$\mu = 210, \sigma = 38.6$

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 210}{38.6}$

$X - 210 = -1.28*38.6$

$X = 160.59$

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

5 0

3 years ago

33 34 and 35 please help

Kryger [21]

first you have to find the triangle, then you can move to the actual question.

x+30+80 = 180

x+110 = 180

x+110 - 110 = 180-110

x =70

now you can go to the actual question.

y + 70 = 180

y+70- 70 = 180-70

y = 110

there is your answer. hope this is helpful

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3 years ago

Here is a list of numbers: 2, 13, 13, 6, 10,4 16,14,20 State the median.

Travka [436]

Answer:

Median = 13

Step-by-step explanation:

Arranging it in ascending order:

=> 2,4,6,10,13,13,14,16,20

Median is the middlemost no.

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3 years ago

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Genrish500 [490]

Answer:

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Step-by-step explanation:

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3 years ago

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