Answer:
0.156
Step-by-step explanation:
Using binomial probability formula, we have :
P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ ------------------------------------------------- (1)
Where n = total number of sample
a = number of success
p = probability of success
q = probability of failure
n-a = number of failures
From the question:
n =10 , a = 7, p=0.54, q = 1-p = 0.46
Substituting into equation (1) we have:
P (7 out of 10) = ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷
= 0.1563
≈ 0.156
Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is
where
varies directly with
and
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of
. I will use (20,120) as an example:

Therefore, the constant of proportionality is 6
The answer would be 7/4 because you would just divide both the 21 and 12 by 3
<span>n/100 * 64 = 8 </span><span>n/100 = 8/64<span>
n = 8*100/64 = 25/2 = 12.5</span><span>
8 is 12.5% of 64 hope this helps:)</span></span>