Answer:

Step-by-step explanation:
Given



Required
The probability of selecting 2 same colors when the first is not replaced
The total number of ball is:


This is calculated as:

So, we have:

<em>Note that: 1 is subtracted because it is a probability without replacement</em>






Answer:
Option B)

Step-by-step explanation:
We are given the following in the question:
Hypothesis:
The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.
Population mean, μ = 140 mm
Sample mean,
= 139 mm
Sample size, n = 51
Sample standard deviation, s = 5 mm
Thus, we can design the null hypothesis and alternate hypothesis as

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.
Thus, the correct answer is
Option B)

Answer:
m∠BFE = 171º
BE = 219º
Step-by-step explanation:
∠BFE is supplementary to ∠EFC
m∠BFE = 180 - 9
m∠BFE = 171º
--------------------------
The angle between two chords is equal to half the sum of the intercepted arcs:
∠BFE = (DC + BE)2
171 = (123 + BE)/2
342 = 123 + BE
219º = BE
Answer:
X <u>></u> 7
Step-by-step explanation:
X <u>></u> 7
As there are multiple answers going with trial and error seems good in this case.
A
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
20.00 + 31.5 = 51.5
B
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00
20.00 + 35.00 = 55.00
C
5.00 + 5.00 + 5.00 = 15.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
15.00 + 31.5 =46.5
Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn't understand if $156.5 is equivalent to $156.50 that would mean A is correct.
Always recheck your answers and good luck,
Jon