<h3>
Answer: A. 21</h3>
=======================================
C(n, r) = (n!)/(r!*(n-r)!) is the combination formula
C(7, 5) = (7!)/(5!*(7-5)!)
C(7, 5) = (7!)/(5!*2!)
C(7, 5) = (7*6*5!)/(5!*2!)
C(7, 5) = (7*6)/(2!) ..... note the "5!" terms divided and canceled
C(7, 5) = (7*6)/(2*1)
C(7, 5) = 42/2
C(7, 5) = 21
Answer:
4
Step-by-step explanation:
(x)^2+(1/x)^2=18
(x-1/x)^2+2x.1/x=18
(x-1/x)^2+2=18
(x-1/x)^2=16
(x-1/x)^2=4^2
x-1/x=4
Answer:
7.2 gallons
Step-by-step explanation:
Answer:
Option D. w + x = z
Step-by-step explanation:
see the attached figure to better understand the problem
we have
----> equation A
----> equation B
equate equation A and equation B
Subtract y both sides
This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
Answer:
Approximately normal for large sample sizes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
The distribution is unknown, so the sampling distribution will only be approximately normal when n is at least 30.
So the correct answer should be:
Approximately normal for large sample sizes