The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)
<h3>How to find the confidence interval?</h3>
Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.
The general formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
z is z-score at confidence level
s is sample standard deviation
n is sample size
We are given;
sample size; n = 36
Sample mean; x' = 3 inches
standard deviation; s = 0.3 inches
confidence level = 99%
z at 99% CL = 2.576
Thus;
CI = 3 ± 2.576(0.3/√36)
CI = 3 ± 0.1288
CI = (2.8712, 3.1288)
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Answer:
D
Step-by-step explanation:
Converting percent to decimal : 2.2/100 = 0.022
Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)
Finding how much it was worth after 11 years :
(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150
Now add the product to the regular amount to find out the answer:
75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)
Answer:
v = 16
Step-by-step explanation:
p = 8/v and p = 1/2. Equating these two, we get 8/v = 1/2.
Inverting both sides, we get v/8 = 2.
Find the vaue of v by multiplying both sides by 8: v = 16
The easier way to multiply 2/15 by 3/20 will simply be by multiplying the numerators and denominators.
In order to multiply 2/15 x 3/20, we can simply multiply the numerator and the denominator. This will be
= 2/15 × 3/20
= 6/300
= 1/50
Also, in order to multiply the fractions, we can change them to decimal first. This will be:
= 2/15 × 3/20
= 0.133 × 0.15
= 0.01995
In conclusion, multiplying the numerators and denominators is easier and faster.
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(12, 0)
12-9(0)=12
12-0=12
12=12
