How do i graph this function h(x)=-4(x-3)(x-1)

Which expression is equivalent to -4 (2m - 3 ) - (m+2) -9m+10 9m+10 7m+10 -7m+10

Scrat [10]

Answer:

4 - 2m + 3

Step-by-step explanation:

when you distribute the negative sign you will get this

8 0

2 years ago

Read 2 more answers

Add. Simplify your answer and write it as a proper fraction or as a whole or mixed number. 9/ 10 + 4/ 5 =

Serjik [45]

Before adding dissimilar fractions (fractions with different denominator), you have to make the fractions similar first. To make the fractions similar, find the Least Common Multiple of the denominator. In this case, the LCM is 10. Then rewrite the fractions using the LCM as the denominator.
9/10 = 9/10; 4/5 = 8/10
You can now proceed with addition -
9/10 + 8/10 = 17/10 or 1 7/10

3 0

2 years ago

If 4.5 pounds of chocolate cost $10, how

allsm [11]

I think 5.4

4.5÷10= 0.45

0.45x12=5.4

3 0

3 years ago

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an

Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

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 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.

Central Limit Theorem

The Central Limit Theorem establishes 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.

We have:

Mean $\mu$ , standard deviation $\sigma$ .

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

8 0

2 years ago

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. find the probability that he m

bogdanovich [222]

we are given

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time

so, probability of making shot is

=88%

so, p=0.88

To find the probability of missing first shot and making the second shot

so, we can use formula

probability = p(1-p)

now, we can plug values

we get

$probability=0.88(1-0.88)$

So, the probability that he misses his first shot and makes the second is 0.1056........Answer

5 0

3 years ago