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stich3 [128]
3 years ago
9

C(n)=-6+5(n-1) what is the 8th term in the sequence

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

  29

Step-by-step explanation:

Put 8 where n is, then do the arithmetic.

  C(8) = -6 +5(8 -1) = -6 +5(7) = -6 +35

  C(8) = 29

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Determine if two triangles are congruent. If they are, state how you know.
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Answer:

B. SSS

Step-by-step explanation:

The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.

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When Marcus weighed the watermelon in his garden a week ago, it weighed 2.8 pounds. Yesterday, the watermelon weighed 4.67 pound
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The answer is 1.87 pounds heavier. This is found out by subtracting 2.8 from 4.67.
Hope this helps!
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Find the slope of the line that passes through the points (-19, -4) and (13, -17).​
Tasya [4]

Answer:

m = \frac{-13}{32}

Step-by-step explanation:

Two point slope formula = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

\frac{-17 + 4}{13 + 19} = \frac{-13}{32}

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2 years ago
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In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

C: Find the test statistic

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

P value

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

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3 years ago
Solve. <br><br> 6x − 8 = −44 <br><br> x =
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I think the best value for x is -9 because 6 x -9 = 54, minus 8 equals -44.
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