Answer:
a)Both X and Y can be well approximated by normal random variables.
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they are right-handed, or they are left-handed. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability:
Probability of exactly x sucesses on n repeated trials, with probability p.
The binomial probability can be well approximated by normal random variables, using the expected value 
and the standard deviation 
Let X be the number of males (out of the 100) who are left-handed.
and 
. Can be well approximated.
Let Y be the number of females (out of the 80) who are left-handed.
and 
. Can be well approximated.
The correct answer is
a)Both X and Y can be well approximated by normal random variables.
Add all the numbers:
36 + 10 + 2 + 20 + 26 + 6 = 100
Count the amount of female:
20 + 26 + 6 = 52
Female out of total = 52/100
if you have to simplify, its going to be 13/25
Hope this helped☺☺
Answer:
Kevin can drive 681 miles.
Step-by-step explanation:
In order to find the amount that he can drive in one day and only pay $250, we have to write an equation for the cost. Using x as the miles he drive, we can express the equation as:
y = .33x + 24.95
Now, we can plug in 250 for y.
250 = .33x + 24.95
225.05 = .33x
681.97 = x
Since we are looking for only whole miles, we have to round down to 681.
Answer:
21.78
Step-by-step explanation:
The fraction 4/5 has the decimal value 0.8. The mixed number 25 4/5 is equivalent to the decimal number 25.8.
When you do the subtraction, you may want to add a trailing zero to 25.8 to make the same number of decimal places as 4.02. Then you have ...
25.80 -4.02
and subtraction proceeds in the normal way.
25.80 -4.02 = 21.78
_____
It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. It is also helpful to note that denominators of 2 and 5 and their multiples can be translated directly to fractions with denominators of 10 or other powers of 10:
Answer:
Therefore the mass of the of the oil is 409.59 kg.
Step-by-step explanation:
Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).
The area of the disk
=The area of the outer circle - The area of the inner circle
= 
![=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]](https://tex.z-dn.net/?f=%3D%5Cpi%20%5Br%5E2%2B2r%5Ctriangle%20r%2B%28%5Ctriangle%20r%29%5E2-r%5E2%5D)
![=\pi [2r\triangle r+(\triangle r)^2]](https://tex.z-dn.net/?f=%3D%5Cpi%20%5B2r%5Ctriangle%20r%2B%28%5Ctriangle%20r%29%5E2%5D)
Since (Δr)² is very small, So it is ignorable.
∴
The density 
We know,
Mass= Area× density
Total mass 
Therefore
![=40\pi[ln(1+r^2)]_0^5](https://tex.z-dn.net/?f=%3D40%5Cpi%5Bln%281%2Br%5E2%29%5D_0%5E5)
![=40\pi [ln(1+5^2)-ln(1+0^2)]](https://tex.z-dn.net/?f=%3D40%5Cpi%20%5Bln%281%2B5%5E2%29-ln%281%2B0%5E2%29%5D)
= 409.59 kg (approx)
Therefore the mass of the of the oil is 409.59 kg.
