Answer: 19.625
Step-by-step explanation: if u need the explanation add me
Answer:
0.25
Step-by-step explanation:
We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.
On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by
(3C1)(5C2)=(3)(10)=30 and
Pr(A∩B)=30/120=0.25
Answer:
Step-by-step explanation:
<u>Find the measure of arc BD</u>
- m∠A = 1/2(arc BC - arc BD)
- 2*36° = 150° - arc BD
- arc BD = 150° - 72° = 78°
<u>Find the measure of arc DC</u>
- arc BD + arc BC + arc DC = 360°
- arc DC = 360° - (150° + 78°) = 360° - 228° = 132°
Correct choice is B
Given:
The variance of a distribution = 195.
To find:
The standard deviation, rounded to the nearest thousandth.
Solution:
Standard deviation of a distribution is the square root of the variance of the distribution.
Here, the standard deviation of the distribution is



Therefore, the standard deviation is 13.964.
Answer:
20 m²
Step-by-step explanation:
<u>Formula (Area of triangle):</u>
<u />
From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.
<u />
Simplify the right-hand-side as needed to evaluate the area.
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Therefore, the area of the provided triangle is 20 m².
Learn more about this topic: brainly.com/question/15442893