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Nutka1998 [239]
3 years ago
8

Solve for z: 2+3(z-3) = z+3z+6z

Mathematics
2 answers:
makkiz [27]3 years ago
7 0

Answer:

z=-1

Step-by-step explanation:

2+3(z-3)=z+3z+6z

2+3z-9=z+3z+6z

2+3z-9=10z

2-9=10z-3z

<u>-7</u>=<u>7</u><u>z</u>

7 7

z=-1

Proof:

2+3(z-3)=z+3z+6z

2+3(-1-3)=-1+(-3)+(-6)

2+3(-4)=-1-3-6

2-12=-10

-10=-10

Mademuasel [1]3 years ago
6 0

Steps to solve:

2 + 3(z - 3) = z + 3z + 6z

~Distribute left side and simplify right side

2 + 3z - 9 = 10z

~Simplify left side

3z - 7 = 10z

~Subtract 3z to both sides

-7 = 7z

~Divide 7 to both sides

-1 = z

Best of Luck!

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8 0
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Read 2 more answers
State your conclusion to the following hypothesis test.
Pepsi [2]

Answer:

Part A

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Part B

\hat Y = 17.9·(x) + 1.6

Part C

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Step-by-step explanation:

The percentage of graduates that find full-time employment in their fields within the first year of graduation = 87%

The significant level of the hypothesis test = 5% = 0.05

The p-value = 0.07

Given that the testing conditions are met, we have;

The p-value is larger than the significant level of 0.05, therefore, it cannot be concluded that there is significant difference between the two rates

Therefore;

There is not enough statistical evidence available to come to a conclusion that the placement rate of full-time students has reduced below the given 87% because from the statistics, the p-value is larger than 0.05.

Part B

Number of Pages, x; 7, 12, 4, 14, 25, 30

Cost, y; 128, 213, 75, 250, 446, 540

The regression analysis formula is;

Y = a + b·X

We have;

b = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{N\sum X^{2} - \left (\sum X  \right )^{2}}

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a = \dfrac{\sum Y - b\sum X}{N}

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Part C

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Therefore, at x = 1.6, we get;

y = 4.3 + 1.4 × 1.6 = 6.54

The suggests that the teen pregnancy rate in Florida is 6.54.

8 0
3 years ago
2.36 grams=? hectograms
defon
2.36 g = 0.0236 hg

I hope this helped you.
Have a great day!
5 0
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What valur of x makes the equation below true? 9^5 * 9^7=9^x
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<em>Step 1: Flip the equation.</em>

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<em>Step 2: Solve Exponent.</em>

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