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Answer:
x = 27.57 in to the nearest hundredth.
Step-by-step explanation:
The longer diagonal is opposite the obtuse angle.
Also as it is a rhombus all sides = 14 in.
Use the Cosine Rule:
x^2 = 14^2 + 14^2 - 2*14^2 cos 160
x^2 = 760.36
x = sqrt 760.36
x = 27.57 in.
Answer: 30.5 and 35.5
Step-by-step explanation:
We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
Answer: The 90% confidence interval for the population mean μ is between 82.85 and 85.15,
Step-by-step explanation:
When population standard deviation is not given ,The confidence interval population proportion is given by (
):-
, where n= Sample size.
s= Sample standard deviation
= sample mean
t* = Critical t-value (Two-tailed)
As per given , we have
n= 64
Degree of freedom : df = n-1=63
s= 5.5
Significance level : 
Two-tailed T-value for df = 63 and
would be
(By t-distribution table)
i.e. t*= 1.669
The 90% confidence interval for the population mean μ would be

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,
Answer:
You're answer is 42
Step-by-step explanation:
if you add all the numbers together, you would get 336. since there are eight numbers in the data set, you should divide it by eight.. with that said, 336/8 is 42