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3 years ago

20 + .50(x) = 37 what is (x)

1 answer:

6 0

You must get x by itself on one side of the equal sign therefore start by subtracting 20 from both sides of the equation the divide .5 from both sides of the equation.

20 + .5x - 20 = 37 -20
.5x = 17
.5x/.5 = 17/.5
x = 34

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The line AB has the midpoint of (2,5) A has coordinates (1,7) find the coordinates of B

Pavel [41]

Answer:

Point B is at (3,3)

Step-by-step explanation:

the mid point is (2,5) and A is at (1,7)

first find the slope:

y1 - y2/x1 - x2

7 - 5/1 - 2

2/-1

-2/1

then go down 2 units and right 1 unit from (2,5):

(2 + 1, 5 - 2) => (3,3)

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2 years ago

Plz help me-7.1(z-1.1)

Elena-2011 [213]

Answer:

Step by step explanation:

$- 7.1(z - 1.1)$

Multiply each term in paranthesis by -7.1

$- 7.1 \times z - 7.1 \times ( - 1.1)$

Multiply:

$-7.1z + 7.81$

Hope this helps...

Good luck on your assignment..

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2 years ago

elise is changing the dimensions of her garden. the length is 20 feet longer than its width. if she decreases this length by 8 f

vitfil [10]

Let x be the initial width, then the initial length is x+20.
If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.

If Elise increases the width by 10 feet, she will get the new width x+10.

The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.

The initial width is 32 ft and the initial length is 32+20=52 ft.

The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.

4 0

3 years ago

Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times m

Leno4ka [110]

Division
4/3X 100/9 = 8 1/3

5 0

3 years ago

The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.

NISA [10]

Answer:

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=8.2$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.2$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

8 0

2 years ago

Read 2 more answers