Order √2, 2π, 0.8Please help ASAP
2 answers:
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Answer:
5.848 in
Step-by-step explanation:
Divide the piece of cardboard into nine equal squares of side z.
The centre square is the base of the cube.
When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.
The cube must have a volume of 200 in³.
V = z³
200 = z³
z = 2 × 2.924
z = 5.848 in
The edge length of the cube is 5.848 in.
Answer:
The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.
Step-by-step explanation:
We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).
A random sample of 10 of these customers is selected.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 10 customers
r = number of success = 30% of 10 = 3
p = probability of success which in our question is the probability
that telephone users do not have landlines in their homes,
i.e. p = 30%
Let X = <u><em>Number of telephone users who do not have landlines in their homes</em></u>
So, X ~ Binom(n = 10, p = 0.30)
Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)
P(X = 3) =
=
= <u>0.2668</u>