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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:
x=175
Step-by-step explanation:
The sum of all the degrees in a triangle is 180. First, you have to rind what the third degree of the triangle is. We will call this y.
85+90+y=180
175+y=180
y=5
The floor is flat, so it will be 180 degrees, therefore, x+y=180. We can substitute 5 in for y, so 5+x=180.
So, x would be 175.
Answer:
x=0 y=0
Step-by-step explanation:
multiple the first equation by 2
after subtract equation 2 from 1
after getting x you substitute the value of x in any of the equation for your y
Answer:
A. 39,000.
Step-by-step explanation:
Volume of the lower prism = 30^3= 27,000
Volume of the pyramid = 1/3 area of the base * height
= 1/3 * 900 * 40
= 1200
Volume of the whole solid = 27000 + 12000
= 39,000,
