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:
A. y = -2/3x + 2
Step-by-step explanation:
Your is to isolate the y. The first thing you would do is subtract the 2x,
2x + 3y = 6
-2x =
3y = -2x +6
then to isolate the ,y, you would next divide everything by 3, so that the ,y, stays by itself.
3y/3 = -2x/3 +6/3
Simplify,
y = -2/3x + 2
You just combine like terms
So 4d + - d = 3d
And 3x + 2x = 5x
So the answer is 3d + 5x
Answer:
B: $14.50
Step-by-step explanation:
8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.
If c^2 > a^2 + b^2 then the triangle is obtuse.
If c^2 < a^2 + b^2 then the triangle is acute.
If c^2 = a^2 + b^2 then the triangle is a right triangle.
13. 7^2 __ 3^2 + 6^2
49 ___ 9 + 36
49 > 47 obtuse
14. 12^2 __ 4^2 + 11^2
144 ___ 16 + 121
144 > 137 obtuse
15. 26^2 ___ 24^2 + 10^2
676 ___ 576 + 100
676 = 676 right triangle
16. 15^2 ___ 12^2 + 9^2
225 ___ 144 + 81
225 = 225 right triangle
17. 31^2 __ 30^2 + 10^2
961 ___ 900 + 100
961 < 1000 acute triangle
18. 12^2 ___ 7^2 + 7^2
144 ___ 49 + 49
144 ___ 98
144 > 98 obtuse
