What expression is equivalent to 4(2x+1)-(-6x)

2 answers:

8 0

The answer is 14x+4
First you distribute the 4 to the numbers inside the parentheses. 4(2x)=8x and 3(1)=4

You do the same for -(6x) but you distribute the negative sign. A negative times a negative is a positive so -(-6x)= 6x

Now your new equation is 8x+4+6x

Next you have to combine like terms. The like terms is this equation is 8x and 6x. So 8x+6x= 14x

Your final answer is 14x+4

hjlf3 years ago

5 0

Well, you could partially solve this and get some that are equivalent.

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Read 2 more answers

Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa

Sindrei [870]

Answer:

0.7698

Step-by-step explanation:

If you call your random variable $X$ , then what you are looking for is

$P(87 \leq X \leq 123)$

because you want the probability of $X$ being <em>between 87 and 123.</em>

We need a table with of the normal distribution. But we can only find the table with $\mu = 0$ and $\sigma = 1$ . Because of that, first we need to <em>normalize </em>our random variable:

$Z = \frac{X - \mu}{\sigma} = \frac{X - 105}{15}$

(you can always normalize your variable following the same formula!)

now we can do something similar to our limits, to get a better expression:

$\frac{87 - 105}{15} = \frac{-18}{15} = -1.2$

$\frac{123 - 105}{15} = \frac{18}{15} = 1.2$

And we transform our problem to a simpler one:

$P(87 \leq X \leq 123) = P(-1.2 \leq Z \leq 1.2) = P(Z \leq 1.2) - P(Z \leq -1.2)$

(see Figure 1)

From our table we can see that $P(Z \leq 1.2) = 0.8849$ (this is represented in figure 2).

Remember that the whole area below the curve is exactly 1. So we can conclude that $P(Z \geq 1.2) = 0.1151$ (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then