Given the information, we shall proceed as follows:
The given problem is a binomial problem.
n=10 and p=0.48
thus, the probability that the number who consider themselves baseball fans is:
a] exactly five
P(x=5)=10C5(0.48)^5(0.52)^5=0.244
b] at least 6
P(x>=6)=1-P(x<8)
=P(6)+P(7)+P(8)+P(9)+P(10)
=10C6(0.48)^6(0.52)^4+10C7(0.48)^7(0.52)^3+10C8(0.48)^8(0.52)^2+10C9(0.48)^9(0.52)^1+10C10(0.48)^10
=0.1878+0.0991+0.0343+0.0070+0.0007
=0.3289
The answer: 0.3289
c] Less than 6
P(x<6)=1-P(x>=6)
=1-0.3289
=0.6711
To solve for the time it reach the maximum height, you must solve the first derivative of the function and equate it to zero
<span>h(t) = −4.9t^2 + 14.7t + 1</span>
dh/ dt = -9.8t + 14.7
then equate to zero
-9.8t + 14.7 = 0
solve for t
t = 1.5 s
then the maximum height is when t = 1.5
<span>h(t) = −4.9t^2 + 14.7t + 1
h(1.5) = </span><span>−4.9(1.5)^2 + 14.7(1.5) + 1
h(1.5) = 12.025 m
</span>
$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11
The median is $1.84
<h2>
Answer:</h2>
for 1 candle: 150.72
for 130 candles: 19,593.6
<h3 /><h3>
Step-by-step explanation:</h3>
the formula for finding the volume for a cylinder is:
V = π r ² × h
when you plug it in:
V = 3.14 (4) ² × (3)
V = 150.72
150.72 × 130 = 19,593.6
Hope this helps! (:
