Answer:
4 hours
Step-by-step explanation:
![\frac{28}{21} :\frac{y}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B21%7D%20%3A%5Cfrac%7By%7D%7B3%7D)
21 · y = 3 · 28
21y = 84
21y ÷ 21 = 84 ÷ 21
y = 4
Answer:
4√(7^5) and (4√7)^5
Step-by-step explanation:
7^5/4
The above can be expressed as follow: Method 1:
7^5/4
(7^5)^1/4
Recall:
(a^m)^1/n = n√(a^m)
Therefore,
(7^5)^1/4 = 4√(7^5)
Method 2:
7^5/4
(7^1/4)^5
Recall:
(a^1/m)^n = (m√a)^n
Therefore,
(7^1/4)^5 = (4√7)^5
From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5
The confidence interval is
![0.58\pm0.04](https://tex.z-dn.net/?f=0.58%5Cpm0.04)
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
![p\pm z*\sigma_p](https://tex.z-dn.net/?f=p%5Cpm%20z%2A%5Csigma_p)
,
where
![sigma_p=\sqrt{\frac{p(1-p)}{N}}](https://tex.z-dn.net/?f=sigma_p%3D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7BN%7D%7D)
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
![\sigma_p=\sqrt{\frac{0.581(1-0.581)}{1016}}=\sqrt{\frac{0.581(0.419)}{1016}}=0.015.](https://tex.z-dn.net/?f=%5Csigma_p%3D%5Csqrt%7B%5Cfrac%7B0.581%281-0.581%29%7D%7B1016%7D%7D%3D%5Csqrt%7B%5Cfrac%7B0.581%280.419%29%7D%7B1016%7D%7D%3D0.015.)
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575:
-5, 50
Explaination: that is the point they connect.
Answer:
2x+5 r. 13
Step-by-step explanation:
So using long division, you can solve for the quotient and the remainder.
Please look at the attached for the solution.
Step 1: need to make sure that you right the terms in descending order. (If there are missing terms in between, you need to fill them out with a zero so you won't have a problem with spacing)
Step 2: Divide the highest term in the dividend, by the highest term in the divisor.
Step 3: Multiply your result with the divisor and and write it below the dividend, aligning it with its matched term.
Step 4: Subtract and bring down the next term.
Repeat the steps until you cannot divide any further. If you have left-overs that is your remained.