How do I solve −6 + 9(8 − 2b) using distributive property or combining like terms.

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

66-18b

Step-by-step explanation:

-6+72-18b

66-18b

solving for b

b=3.66 or 3 and 2/3

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Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC

Ipatiy [6.2K]

Easy peasy

the midpoint between $(x_1,y_1)$ and $(x_2,y_2)$ is
$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
just average them

so given that (3,5) is the midpoint of (-4,5) and (x,y)
$(\frac{-4+x}{2},\frac{5+y}{2})=(3,5)$
so by logic
$\frac{-4+x}{2}=3$ and $\frac{5+y}{2}=5$
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5

the coordinate of point C is (10,5)
the x coordinate is 10

7 0

3 years ago

Type an equivalent expression to show the relationship of multiplication and addition<br> 7+7+7+7+7

nikitadnepr [17]

7 • 5

Multiplication is basically repeated addition. So to convert repeated addition to multiplication, we take the number being added (7) and multiply it be the number of addens (5). Therefore, 7+7+7+7+7 = 5 • 7

3 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: