Answer:
A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68
Step-by-step explanation:
Consider the provided information.
A random sample of 21 checking accounts at the bank are chosen,
That means n=21
df = n-1
df = 21-1=20
We need to Construct and interpret a 95% confidence interval.
Determine t critical value for 95% confidence interval.
0.95=1-α
α=0.05
The sample size is small and it is a two tailed test.
From the t value table confidence interval is 2.086
An average daily balance is $303 and a standard deviation of $63.
Substitute the respective values.
A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68
Answer:
x = 10, y ≈ 11.2
Step-by-step explanation:
Hi there,
We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.
+ 
= 
← Pythagorean Theorem
<u>To find x:</u>
+ 
=
100 =
c = 10
Therefore, the value of x is 10.
<u>To find y:</u>
We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.
+ 
= 
+ 100 = 225
= 125
a = 
a = 11.2 when rounded to the nearest tenth.
Therefore, the value of y is approximately 11.2.
Hope this explanation is useful. Cheers.
To subtract logs, you need to use the log rule, that when you subtract logs, you divide the two arguments and keep the base if it is the same. So divide 24 by 6 and you get 4. So the answer to your question is Log 4 base 5. Hope this helps.
