Answer:
see attached
Step-by-step explanation:
Perhaps the easiest way to do this is to draw the needed shape in the box, then locate it among the answer choices. Use the identifying features such as dot location and direction of arrow (or tail).
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Left-to-right, this is what you're trying to match:
- tail on the right, dot in the tail
- tail on the left, dot in the fin
- tail on the right, dot in the nose
- tail on the left, dot in the center
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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=48
Step-by-step explanation:
x-3 15
------------ = ----------
6 2
We can use cross products to solve this problem
(x-3) *2 = 6*15
Distribute
2x-6 = 90
Add 6 to each side
2x-6+6 = 90+6
2x=96
Divide by 2
2x/2 = 96/2
x = 48
15 because 10x4 is 40 divided by 2 is 20 and 20-5 =15
Answer:
400 and 500
Step-by-step explanation:
the ratios are 8:10
total ratio = 8+10 = 18
share for the ratio is 8 = 8/18×900
= 0.444444444×900= 400
therefore, share for the ratio of 8= 400
share for the ratio of 10= 10/18×900
= 0.555555555×900=500
therefore, share for the ratio of 10= 500