Answer:
28
Step-by-step explanation:
The binomial coefficient is calculated as:

It means that there are nCx ways to select x elements from a group of n elements.
So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:

Answer:
<u> $50</u> is <u>27.02%</u> of <u>$185</u>.
Step-by-step explanation:
Money spent on clothing = $50
Money spent on Groceries = $100
Money spent on Gas = $35
Total money spent = $185
Our question is to find the percentage of total money that is spent on clothing.
Percentage money on clothing =
× 100
=
× 100
= 27.02% (approx)
Hence,<u> $50</u> is <u>27.02%</u> of <u>$185</u>.
Answer:
The length of side x is 
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:

In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so
.
Hypothenuse is the square root of 12. So 





The length of side x is 
Solution:
<u>Note that:</u>
<u>Using the clue above, let's solve each problem.</u>
- 10 mL = 10/1,000 L = 0.01 L
- 1.2 L = 1.2 x 1,000 mL = 1,200 mL
- 3,500 mL = 3,500/1,000 L = 3.5 L
- 4 L = 4 x 1,000 mL = 4,000 mL
- 230 mL = 230/1,000 L = 0.23 L
- 6.21 L = 6.21 x 1,000 mL = 6,210 mL
Hoped this helped!
Answer:
The distance covered is 113.75 m
Step-by-step explanation:
As per the question:
The initial velocity of the train, v = 20 m/s
The final velocity of the train, v' = 6 m/s
Uniform deceleration, a = 1.6
Or uniform acceleration, a = - 1.6
<em>Here, the body decelerates, i.e., slows down at a uniform rate thus we take acceleration with negative sign.</em>
Now, to find the distance covered, s:
Using the eqn of Kinemetics:



