Answer:7,350 ways
Step-by-step explanation:
Since there is no restriction in the selection , the first thing is to select the 4 men from the 10 male , this can be done in 10 C 4 ways , which
= 210 ways
Also , we will select the 4 women from the 7 females , this can be done in 7 C 4 ways , which = 35
Altogether the team of 8 can be selected in 35 X 210 ways = 7,350 ways
Given:
(7,0), (10,21)
To find the slope of the line that passes through the given points, we use the formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
where:
m=slope
Based on the given points, we let:
We plug in what we know:
![\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{21-0}{10-7} \\ \text{Simplify} \\ m=\frac{21}{3} \\ m=7 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5C%5C%20%3D%5Cfrac%7B21-0%7D%7B10-7%7D%20%5C%5C%20%5Ctext%7BSimplify%7D%20%5C%5C%20m%3D%5Cfrac%7B21%7D%7B3%7D%20%5C%5C%20m%3D7%20%5Cend%7Bgathered%7D)
Therefore, the answer is A. The slope is 7.
X is a placeholder,
if 1x = 6
then 7x = 1x * 7 and because we know 1x = 6 then it is
7 * 6 = 42
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<span>(a) two cheeses are chosen at random. what is the probability that both cheeses are pasteurized?
P(Both cheeses are pasteurized)
0.85</span>²=0.7225~72.25%
b]<span>nine cheeses are chosen at random. what is the probability that all nine cheeses are pasteurized?
</span> P(9 are pasteurized)
=(0.95)^9
=0.6303
=63.03%
c]<span> what is the probability that at least one of nine randomly selected cheeses is raw dash milk? would it be unusual that at least one of nine randomly selected cheeses is raw dash milk?
The event that at least one of the cheese is a raw dash milk is the complement of the event that all of the cheese are pasteurized. The probability of the complement event happening is:
1-the probability of the original event happening
hence:
P(At lease one is a raw dash milk)=1-0.6303=0.3697
So, not only is it not unusual for the raw dash milk to appear given 9 cheeses, it's more likely than not</span>