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laiz [17]
3 years ago
15

Combine like terms to create an equivalent expression. Enter coefficients as simplified proper or improper fractions or integers

.
PLS help this is due soon !!​

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

Step-by-step explanation:

The first (and only step) is to remove the brackets.

-1/2 * - 3y = 3/2y       Two minus make a plus

-1/2 * 10 = - 5

Answer: 3/2 y - 5

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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T
Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample. In this problem, \sigma = 0.25

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

M = z*\frac{\sigma}{\sqrt{n}}

0.1 = 1.96*\frac{0.25}{\sqrt{n}}

0.1\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.1}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}

n = 24.01

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

M = z*\frac{\sigma}{\sqrt{n}}

0.06 = 1.96*\frac{0.25}{\sqrt{n}}

0.06\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.06}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}

n = 66.7

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

M = z*\frac{\sigma}{\sqrt{n}}

0.05 = 1.96*\frac{0.25}{\sqrt{n}}

0.05\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.05}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}

n = 96.04

Rounding up, 97

8 0
3 years ago
Help!!! I need to find the x and y values
gayaneshka [121]

The solution is that x = 26 and y = 9.

In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.

5x - 17 + 3x - 11 = 180 ----> combine like terms

8x - 28 = 180 ----> add 28 to both sides

8x = 208 -----> divide by 8

x = 26

Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.

3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms

3x + 2y + 84 = 180 -----> Put 26 in for x.

3(26) + 2y + 84 = 180 -----> Multiply

78 + 2y + 84 = 180 ------> Combine like terms again

2y + 162 = 180 ------> Subtract 162 from both sides

2y = 18 -----> Divide by 2

y = 9

6 0
3 years ago
Suppose $100 is deposited into an account and the amount doubles every 8 years. How much will be in the account in 40 years? (Us
Eva8 [605]
Thats 5 doublings

100^5
<span>$10000000000</span>
6 0
4 years ago
Read 2 more answers
This is hard for me helppp​
yan [13]
Solve for
m by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
m≥−17
Interval Notation:
[−17,∞)
5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words.
Rzqust [24]

Answer:

36 cm

Step-by-step explanation:

arc length = r × θ


32π = r × 8/9π

r = 36

5 0
3 years ago
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