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 .
Answer:
48 meters
Step-by-step explanation:
The first thing is to calculate the scale, since we know both widths it is possible:
we pass the 9 meters to centimeters = 900 cm
900/6 = 150
So the scale would be 1: 150
Which means that the length is 150 times bigger.
10 * 150 = 1500cm or what equals 15m
the perimeter is the sum of all the sides, therefore:
P = 15 + 15 + 9 + 9
P = 48
Which means that the perimeter of the room is 48 meters
Answer:
Third option: 12x^2+8x+25
Step-by-step explanation:
s1=8x^2
s2=4x^2+15
s3=8x+10
Total perimeter of the pool edge: P
P=s1+s2+s3
Replacing s1, s2 and s3 in the formula above:
P=(8x^2)+(4x^2+15)+(8x+10)
P=8x^2+4x^2+15+8x+10
Adding like terms:
P=12x^2+8x+25
Answer:
Step-by-step explanation:
662
I need a picture so i can help you out.
