Answer:

Step-by-step explanation:
Given that ∆KLM ~ ∆RSK,
(similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?

Cross multiply




Answer:
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Answer:
c. 7.527
Step-by-step explanation:
We know that 78 percent of the bar is gold and the total weight is 9.65 ounces. Just multiply the total weight by 78%.
9.65(0.78)=7.527
One way is brute force or experiment
20*10=200
20*100=2000
20*50=1000, that is the first 4 digit number
now add 5
1005
the answer is 1005