Answer: C) 0.112
Step-by-step explanation:
In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-
Given : The probability of drawing a heart from a standard deck of cards is 0.25
Here , getting heart is the success.
Then p= 0.25
For n= 20
The probability that you will draw a heart seven times i.e. x= 7:
![P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=P%28X%3D7%29%3D%5Cdfrac%7B20%21%7D%7B7%21%2820-7%29%21%7D%280.25%29%5E7%281-0.25%29%5E%7B20-7%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D)
Hence, the probability that you will draw a heart seven times = 0.112
Thus , the correct answer is C) 0.112 .
Let U = {1, 2, 3, 4, 5, 6), A = {1, 2, 3, 4), and B = {1, 2, 4). Find the set A n B.
PSYCHO15rus [73]
Step-by-step explanation:
(A n b) = this means that we need d value that is in a and b only
ans= (1,2,4)
9514 1404 393
Answer:
6
Step-by-step explanation:
The slope of the line between (3, 3) and (4, 9) is given by the slope formula:
m = <average rate of change> = (y2 -y1)/(x2 -x1)
m = (9 -3)/(4 -3) = 6/1
m = 6
The average rate of change on the interval [3, 4] is 6.
Answer:
Pretty sure its 7 and 8
Step-by-step explanation:
test it out
H = 27 m. Since these are scales of each other, you can solve for h by creating a ratio of the two lengths. Divide 36 by 4 to find the scale for the tree. 36/4 = 9. This means that the large triangle is 9 times larger than the small one. Now to find h, multiply the height of the small triangle by the scale. 3 x 9 = 27. This means the height, h, of the large triangle is 27 m. You can check this by dividing the length of each triangle by their height. If they are the same number, the scale is correct. 36/27 = 1.33, 4/3 = 1.33 ✅
