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worty [1.4K]
3 years ago
10

What is 3 3/4 x (-2/5) ?

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

-1 1/2

Step-by-step explanation:

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According to a survey, 78% of residents in Summerville own a home. If 30 residents
rosijanka [135]

Answer:

0.1732 = 17.32% probability exactly 24 residents own a home.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

78% of residents in Summerville own a home.

This means that p = 0.78

30 residents are randomly selected:

This means that n = 30

Find the probability exactly 24 residents own a home.

This is P(X = 24).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732

0.1732 = 17.32% probability exactly 24 residents own a home.

3 0
3 years ago
s:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate
anzhelika [568]
Vco = 1/3×πr2h
Vcy = Vco --> πr^2×h = 1/3πR^2×h
h's cancel, as well as π's
r^2 = 1/3R^2 --> R^2 = 3r^2 -->
SR (R^2) = SR (3r^2)
R = SR(3)×r
8 0
3 years ago
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