34% of the scores lie between 433 and 523.
Solution:
Given data:
Mean (μ) = 433
Standard deviation (σ) = 90
<u>Empirical rule to determine the percent:</u>
(1) About 68% of all the values lie within 1 standard deviation of the mean.
(2) About 95% of all the values lie within 2 standard deviations of the mean.
(3) About 99.7% of all the values lie within 3 standard deviations of the mean.
Z lies between o and 1.
P(433 < x < 523) = P(0 < Z < 1)
μ = 433 and μ + σ = 433 + 90 = 523
Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.
i. e. 
Here μ to μ + σ = 
Hence 34% of the scores lie between 433 and 523.
Answer:
B.
Step-by-step explanation:
To simplify something that looks like 
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had 
, then you would multiply top and bottom the conjugate of which is 
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of 
is
.
This is the thing we are multiplying and top and bottom.
Answer:
90
Step-by-step explanation:
90/10= 9
90/5= 18
No number larger than 90 would work.
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
$33.33
20/9 = $2.22 per sheet
$2.22*15 = $33.33
