Answer:
75.4
Step-by-step explanation:
v = pi * r^2 * h
v = 3.14 * 4 * 6
v= 3.14 * 24
v= 75.36 m^3
to the nearest tenth is 75.4 m^3
5cos (2x)+7=cos (2x)+8, 4cos (2x)=1, cos (2x)=1/4, 2x=arccos(1/4), x=(1/2)arccos (1/4). I used x instead of theta, and arccos is cos inverse
The probability of the success will be 0.3826.
<h3>What is binomial distribution?</h3>
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by

We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
Learn more about binomial distribution here:
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Answer:
200.96 in2
Step-by-step explanation:
Area of a circle = nr²
n = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
radius = 16 inches / 2 = 8 in
Area = 3.14 x 8² = 200.96 in²