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2 years ago

1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points

Mathematics

1 answer:

omeli [17]2 years ago

4 0

Answer:

g-1(x)=SQRT{(x-4)/2} + 4

Step-by-step explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

y=2(x-3)^2+4

x=2(y-3)^2+4

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4

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A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proporti

MaRussiya [10]

Answer:

75.17% probability that the sample proportion of households spending more than $125 a week is less than 0.32

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.

For the sampling distribution of a proportion p with size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.3, n= = 245$

$\mu = 0.3, \sigma = \sqrt{\frac{0.3*0.7}{245}} = 0.0293$

What is the probability that the sample proportion of households spending more than $125 a week is less than 0.32

This is the pvalue of Z when X = 0.32. So

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

$Z = \frac{0.32 - 0.3}{0.0293}$

$Z = 0.68$

$Z = 0.68$ has a pvalue of 0.7517

75.17% probability that the sample proportion of households spending more than $125 a week is less than 0.32

6 0

2 years ago

Can someone help me how find the surface area of a right triangular prism

Semmy [17]

Answer:

375 cm2

Step-by-step explanation

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base, as seen in the figure below:

A triangular prism is a stack of triangles, so the usualy triangle solving rules apply when calculating the area of the bases.

5 0

2 years ago

Read 2 more answers

What is the shortest strip of fiber from which five pieces of the following lengths can be cut: 9 1/2 inches, 10 11/16 inches, 6

Allushta [10]

Answer:

35 7/8 inches

Step-by-step explanation:

Shortest strip