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3 years ago

What is the midpoint of the x-intercepts of f(x) = (x – 4)(x + 4)?

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

ans: (0,0)

Step-by-step explanation:

to have x- intercepts y = 0

so ,

value of x = -4 and 4 makes y=0

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Describe how to write 3,482,000,000 in scientific notation

Komok [63]

That is quite simply and astoundingly:

3.482 x 10^9

6 0

3 years ago

Read 2 more answers

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

Dovator [93]

Answer:

B) 0.0069

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846$

Find the probability that their mean rebuild time exceeds 9.1 hours.

This is 1 subtracted by the pvalue of Z when X = 9.1. So

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

By the Central Limit Theorem

$Z = \frac{9.1 - 8.4}{0.2846}$

$Z = 2.46$

$Z = 2.46$ has a pvalue of 0.9931

1 - 0.9931 = 0.0069

So the answer is B.

6 0

3 years ago

How to find the area of 2 half circles and a rectangle

gladu [14]

Hello!

We use different formulas to calculate the areas of different shape.

RECTANGLE:

To find the area of a rectangle, we must simply multiply its length by its width. The formula for its area is:

A = l × w

SEMICIRCLE:

Since the formula for a circle is pi × r × r, we must use the same formula but divide it in half, because a semicircle is a half circle, which is why its area would also be half of a circle's. The formula for a semicircle's area is:

A = 1/2 pi × r × r

Tip:

Write these formulas down and memorize them so that you don't forget them. You'll have to use these formulas quite often when finding the area of these shapes.

6 0

4 years ago

What is the difference of the fractions? Use the number line to help find the answer.

Vedmedyk [2.9K]

Answer:

-11/20

Step-by-step explanation:

$\frac{1}{5} - \frac{3}{4} = \frac{?}{?}$