Answer:
x = 12
Step-by-step explanation:
what you have to do is cross multiply::
3x = 36
and then single the x out
x = 12
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➷ It would be done in the same way it would if it was an integer ;
think of it as two separate parts
(3/5)^3 = 3/5 * 3/5 * 3/5
Calculate the top half, then the bottom half and put them together
3 * 3 * 3 = 27
5 * 5 * 5 = 125
Thus, your answer will be 27/125
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Answer with explanation</u>
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Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
Answer:
c = -a - b + 180
Step-by-step explanation:
Isolate the c. Note the equal sign, what you do to one side, you do to the other. Subtract a and b from both sides
a (-a) + b (-b) + c = 180 (-a) (-b)
c = 180 - a - b
c = -a - b + 180 is your answer
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