Answer:
[472.29, 507.71]
Step-by-step explanation:
The proportion is
490/588 = 0.8333
The mean can be estimated as
= 490
and the standard deviation can be approximated with
= 9.037
and we just need to find two values a and b such that the area under the Normal curve of mean 490 and standard deviation 9.037 between a and b equals 95% = 0.95
<h3>(See picture)</h3>
With the help of a spreadsheet we can easily find these values which are
a = 472.288
b = 507.712
and the interval we are looking for, rounded to 2 decimals, is [472.29, 507.71]
The equation formula is y - y1 = m(x-x1)
Using the first point for x1, y1:
Y +13 = m(x-15)
M is the slope which is the change in y over the change in x:
M = -11–13 / 16-15 = 2/1 = 2
The equation becomes y +13 =2(x+15)
The answer is:
He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).
we know that
The multiplicative rate of change of the exponential function between two points is equal to
![[f(b) / f(a) ] / (b-a)](https://tex.z-dn.net/?f=%5Bf%28b%29%20%2F%20f%28a%29%20%5D%20%2F%20%28b-a%29)
Let
we have that
substitute in the formula
![[4 / 6 ] / (2-1)=4/6=2/3](https://tex.z-dn.net/?f=%5B4%20%2F%206%20%5D%20%2F%20%282-1%29%3D4%2F6%3D2%2F3)
Let
we have that
substitute in the formula
![[(16/9) / (8/3) ] / (4-3)=48/72=2/3](https://tex.z-dn.net/?f=%5B%2816%2F9%29%20%2F%20%288%2F3%29%20%5D%20%2F%20%284-3%29%3D48%2F72%3D2%2F3)
therefore
<u>the answer is the option</u>
B.) 2/3
Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,
6x + 7.50(x + 10) = 129
The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours.
