Volume is l × w × h
l = 21 in
h = 5 in
w = ?
volume = 1575 in
21 × 5 × w = 1575
105 × w = 1575
w = 1575 ÷ 105
w = 15 inches
Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01
Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995
z-score could be calculated from p*,,,
z-score=2.57583
Now, calculate the Margin of Error:
standard deviation = s
number of adults = n
ME=(z*s)/(sqrt n)=(2.57583*12)/(sqrt 250) = 1.955
The confidence interval = mean +or- ME
= 70+1.955 or 70-1.955
So that we can conclude that the 99% confidence interval for the mean beats per minute is 68.045 and 71.955
I hope you got the idea!
Answer:
![\frac{ - 3}{ 256 {q}^{10} {n}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B%20256%20%20%7Bq%7D%5E%7B10%7D%20%7Bn%7D%5E%7B8%7D%20%20%7D%20%20)
Step by step explanation:
![\frac{ {(4 {n}^{4} {q}^{5})}^{2} {(8 {n}^{4} q)}^{-2} }{ {(- 3 {nq}^{9})}^{ - 1} {(4 {n}^{3} {q}^{9}) }^{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B%284%20%7Bn%7D%5E%7B4%7D%20%7Bq%7D%5E%7B5%7D%29%7D%5E%7B2%7D%20%20%7B%288%20%7Bn%7D%5E%7B4%7D%20q%29%7D%5E%7B-2%7D%20%7D%7B%20%20%7B%28-%203%20%7Bnq%7D%5E%7B9%7D%29%7D%5E%7B%20-%201%7D%20%20%20%7B%284%20%7Bn%7D%5E%7B3%7D%20%7Bq%7D%5E%7B9%7D%29%20%20%7D%5E%7B3%7D%20%7D%20)
first we will change the terms with negative superscrips to the other side of the fraction
![\frac{{(4 {n}^{4} {q}^{5})}^{2}{(- 3 {nq}^{9})}^{ 1}}{{(4 {n}^{3} {q}^{9})}^{3} {(8 {n}^{4} q)}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%7B%284%20%7Bn%7D%5E%7B4%7D%20%7Bq%7D%5E%7B5%7D%29%7D%5E%7B2%7D%7B%28-%203%20%7Bnq%7D%5E%7B9%7D%29%7D%5E%7B%201%7D%7D%7B%7B%284%20%7Bn%7D%5E%7B3%7D%20%7Bq%7D%5E%7B9%7D%29%7D%5E%7B3%7D%20%7B%288%20%7Bn%7D%5E%7B4%7D%20q%29%7D%5E%7B2%7D%20%7D%20)
then we will distribute the superscripts
![\frac{ {4}^{2} {n}^{2 \times 4} {q}^{2 \times 5} (- 3) {nq}^{9}}{ {4 }^{3}{n}^{3 \times 3} {q}^{9 \times 3} {8 }^{2}{n}^{4 \times 2} {q}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B4%7D%5E%7B2%7D%20%7Bn%7D%5E%7B2%20%5Ctimes%204%7D%20%7Bq%7D%5E%7B2%20%5Ctimes%205%7D%20%28-%203%29%20%7Bnq%7D%5E%7B9%7D%7D%7B%20%7B4%20%7D%5E%7B3%7D%7Bn%7D%5E%7B3%20%5Ctimes%203%7D%20%7Bq%7D%5E%7B9%20%5Ctimes%203%7D%20%7B8%20%7D%5E%7B2%7D%7Bn%7D%5E%7B4%20%5Ctimes%202%7D%20%20%7Bq%7D%5E%7B2%7D%20%7D%20%20)
![\frac{ {4}^{2} {n}^{8} {q}^{10} (- 3) {nq}^{9}}{ {4 }^{3}{n}^{9} {q}^{27} {8 }^{2}{n}^{8} {q}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B4%7D%5E%7B2%7D%20%7Bn%7D%5E%7B8%7D%20%7Bq%7D%5E%7B10%7D%20%28-%203%29%20%7Bnq%7D%5E%7B9%7D%7D%7B%20%7B4%20%7D%5E%7B3%7D%7Bn%7D%5E%7B9%7D%20%7Bq%7D%5E%7B27%7D%20%7B8%20%7D%5E%7B2%7D%7Bn%7D%5E%7B8%7D%20%20%7Bq%7D%5E%7B2%7D%20%7D%20%20)
as when multiplying two powers that have the same base, we can add the exponents and, to divide podes with the same base, we can subtract the exponents
![{4}^{2 - 3} {q}^{10 + 9 - 2 - 27} {n}^{8 + 1 - 8 - 9} {8}^{ - 2} { (- 3)}^{1}](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B2%20-%203%7D%20%20%7Bq%7D%5E%7B10%20%20%2B%209%20-%202%20-%2027%7D%20%20%7Bn%7D%5E%7B8%20%2B%201%20-%208%20-%209%7D%20%20%7B8%7D%5E%7B%20-%202%7D%20%20%7B%20%28-%203%29%7D%5E%7B1%7D%20)
![{4}^{ - 1} {q}^{ - 10} {n}^{ - 8} {8}^{ - 2} { (- 3)}^{1}](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B%20-%201%7D%20%20%7Bq%7D%5E%7B%20-%2010%7D%20%20%7Bn%7D%5E%7B%20-%208%7D%20%20%7B8%7D%5E%7B%20-%202%7D%20%20%7B%20%28-%203%29%7D%5E%7B1%7D%20)
then we will change again the terms with negative superscrips to the other side of the fraction
![\frac{ - 3}{ 4 \times {8}^{2} {q}^{10} {n}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B%204%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20%20%7Bq%7D%5E%7B10%7D%20%7Bn%7D%5E%7B8%7D%20%20%7D%20)
![\frac{ - 3}{ 256 {q}^{10} {n}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B%20256%20%20%7Bq%7D%5E%7B10%7D%20%7Bn%7D%5E%7B8%7D%20%20%7D%20)
Answer:
The car is traveling 475200 feet per hour. That means in 2 seconds it will have gone 264 feet.
Step-by-step explanation:
you have to times 90 by 5280 to get the feet per hour. And then divided by 60 twice the first time you get minute and then when you divided by 60 again you get seconds and then you times it by 2 to get 264 feet a second.