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4 years ago

Write the equation in slope intercept form through: (1,5), perp. to y=-1/2x - 4

1 answer:

5 0

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Slope :
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Slope = 2 (negative reciprocal of the perpendicular line)

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Y-intercept :
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at (1, 5)
5 = 2(1) + b
5 = 2 + b
b = 3

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Equation : y = 2x + 3
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How to solve (with steps) 3 ( x + 2 ) = 9 ( 6 - x )

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Answer: x = 4

Step-by-step explanation:

Distribute the 3 and the 9

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Add 9x to both sides

$12x+6=54$

Subtract 6 on both sides and simplify

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What is the most efficient way to solve the equation? 5j = 40

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Answer: j = 8

Step-by-step explanation: To solve for j in this equation, we want to get j by itself on the left side of the equation. Since j is being multiplied by 5, to get j by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.

On the left side, notice that the 5's cancel out so we are simply left with j. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.

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The manager of the quality department for a tire manufacturing company wants to study the average tensile strength of rubber use

Alika [10]

Answer:

$p_v =P(z>z_{calc})=0.067$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$\sigma$ represent the population standard deviation

$n$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less or equal than 800 for the null hypothesis:

Null hypothesis: $\mu \leq 800$

Alternative hypothesis: $\mu > 800$

The z statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) and we assume that she got a calculated value $z_{calc}$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>z_{calc})=0.067$

Conclusion

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Step-by-step explanation:

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