Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
Answer:
B. 28 inches
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem.
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse (diagonal)
16^2 + b^2 = 32^2
256 + b^2 =1024
Subtract 256 from each side
256-256 + b^2 =1024-256
b^2 = 768
Take the square root of each side
sqrt(b^2) = sqrt(768)
b = 27.7128129
Rounding to the nearest inche
b = 28 inches
Answer.
5x+7y=50
Step-by-step explanation:
7y=5x-50
y=(5x-50)/7
Answer:
x=0
y=8
Step-by-step explanation:
This is a simultaneous equation
So let's solve
y=-8x+8..(1)
y=-8x+8...(2)
Add (1) and (2)
2y=16
Make y the subject of formula by dividing both sides by 2
y=8
Substitute the value for y into (2)
8=-8x+8
Collect like terms
8-8=-8x
0=-8x
Divide both sides by-8
x=0
Therefore x is 0 and y is 8
