Which number sentences show ways to solve the problem?
1 answer:
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Answer:
The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.
Step-by-step explanation:
We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.
Let X = <u><em>Number of hits made by a baseball player</em></u>
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 7 at-bats
r = number of success = exactly 2 hits
p = probability of success which in our question is batting average
of a baseball player, i.e; p = 0.25
SO, X ~ Binom(n = 7, p = 0.25)
Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)
P(X = 2) =
=
= <u>0.3115</u>
Answer:
a) Area of the base of the pyramid =
b) Area of one lateral face =
c) Lateral Surface Area =
d) Total Surface Area =
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle.
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>
Hence,
a) Area of the base of the pyramid =
b) Area of one lateral face =
c) Lateral Surface Area =
d) Total Surface Area =