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3 years ago

How do you solve for c in this problem? 9(c+5)+3c=11

2 answers:

4 0

Distribute the 9 to what it's multiplying in the parentheses
9c+45+3c=11
combine like terms of 3c and 9c
12c+45=11
get the variable by itself on one side by subtracting the constant
12c=-34
divide by 12
c=-34/12

Keith_Richards [23]3 years ago

4 0

1. First distribute the 9(c+5) to get: 9c+45+3c=11
2. The next thing to do is combine like terms to make the equation: 12c+45=11
3. Now you should subtract 45 from 11 to get "c" by itself: 12c= -34
4. Divide -34 by 12 to finalize your answer and get: c= -34/12
5. Finally simplify the fraction to get your final answer: c= -17/6

Final Answer: c = -17/6

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Answer:

A. 16.55

Step-by-step explanation:

What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.

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II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

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1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

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3) Calculate the statistic

We can replace in formula (1) the info given like this:

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