Solve for x (-4x + 4).-3= 24

linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous

Zanzabum

No. The value of x is 7.5 feet.

7 0

3 years ago

Pls help me i need to do all my math for to day and i dont know how to do it -11x(x+12)

Vesna [10]

Answer:

If you want to simplify, -11 $x^{2}$ -132x

Step-by-step explanation:

4 0

2 years ago

An equation _____ has one solution. 1. never 2. always 3.sometimes

Tomtit [17]

Answer:

Option 3

Step-by-step explanation:

An equation is sometimes one solution because it can also have infinitely many solution or no solutions.

3 0

3 years ago

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What is the inverse of the given relation? y=3x+12

stich3 [128]

For this case we have the following function:

$y = 3x + 12$

We change the variables:

$x = 3y + 12$

From here, we clear the value of y.

$3y = x-12\\y = \frac {x} {3} -4$

Then, we make the following change:

$y = f (x) ^ {-1}$

Finally, the inverse function is:

$f (x) ^ {- 1} = \frac {x} {3} -4$

Answer:

The inverse of the given relation is:

$f (x) ^ {- 1} = \frac {x} {3} -4$

6 0

3 years ago

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The mean salary offered to students who are graduating from Coastal State University this year is , with a standard deviation of

Monica [59]

Answer:

The probability that the mean salary offer is of X or less is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean salary for the population, $\sigma$ is the standard deviation for the population 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.

Z-score with the Central Limit Theorem:

Z-is given by:

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

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

What is the probability that the mean salary offer for these students is X or less?

The probability that the mean salary offer is of X or less is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean salary for the population, $\sigma$ is the standard deviation for the population and n is the size of the sample.

4 0

3 years ago