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Gemiola [76]
3 years ago
8

What value of q makes the statement true? -(q + 14) = -3 + (-14)

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0
The answer is

q=3

-(3+14)=-3+-14  

3+14=17--> -17
myrzilka [38]3 years ago
6 0
<span>-(q + 14) = -3 + (-14)
Add -14 to -3
</span><span>-q - 14 = -17
Add 14 to both sides
-q=-3
Divide -1 on both sides
Final Answer: q=3</span>
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vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

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2 years ago
Learning Task 1. Group the given equations into two based on observed common properties.
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f²-3f+2=0

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a²=225

Linear Equation in single Variable

8-3k=12

5w+5=0

10u-5=8

Linear Equation in Two  Variable

2y-z=9

3r+2e=6

d=3e-7

<h3>What is an equation?</h3>

It should be noted that an equation simply means the expression that's used to show the relationship between the variables.

In this case, the equation has been grouped.

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Group the given equations into two based on observed common properties.

Equations

n²-3n+10=0

8-3k=12

2y-z=9

2x²+2x+1=0

25b²-16=0

3r+2e=6

5w+5=0

f²-3f+2=0

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10u-5=8

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6 0
1 year ago
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siniylev [52]

Answer:

Step-by-step explanation:

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Jo's Number is 20.

Step-by-step explanation:

4 - ( 9 x ? ) = 176.

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9 x 20 = 180, then subtract 180 by 4.

180 - 4 = 176.

Therefore, Jo's number is 20.

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3 years ago
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