Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
In this problem, we have that the parameters are given as follows:
n = 4, p = 0.75.
Hence the mean and the standard deviation are given as follows:
- E(X) = np = 4 x 0.75 = 3.
More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
Answer:
112
Step-by-step explanation:
Answer:
surface area of the smaller figure ≈ 1474.64 m²
Step-by-step explanation:
The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.
To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.
Therefore, they are similar figure the scale factor can be represented as a:b.
The scale factor for volume is cubed.
volume of larger figure/volume of the small figure = a³/b³
4536/2625 = a³/b³
a/b = 16.5535451/13.7946209
Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)
16.55²/13.79² = 2124/x
273.9025/190.1641 = 2124/x
cross multiply
273.9025x = 403908.54840
x = 403908.54840/273.9025
x = 1474.6435261
x ≈ 1474.64 m²
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Answer:
Step-by-step explanation:
The easiest way to determine the answer to your question is to evaluate the
discriminant
For a quadratic in the form:
y
=
a
x
2
+
b
x
+
c
the
discriminant
) is equal to
b
2
−
4
a
c
For your example
4
x
2
+
8
x
+
3
=
0
The
discriminant
is
Δ
=
8
2
−
4
(
4
)
(
3
)
2
(
4
)
