The tail of the spider monkey is 64% of the length shown. What is the length of its tail?The length shown is 55 in.

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

The tail of the spider monkey is 35.2 inches long because 64% of 55 in is 35.2 in.

brilliants [131]3 years ago

8 0

Answer:

<h2>The length of its tail is 35.75 inches.</h2>

Step-by-step explanation:

Givens

The length shown is 55 inches.
The tail of the spider monkey is 64% of the length shown.

To find the answer, we just need to calculate the 64% of 55 inches. Remember that any percentage can be expressed as a fraction with 100 as denominator.

$64\%(55in)=\frac{65}{100}(55in)= 35.75in$

The 64$ of 55 inches is 35.75 inches.

Therefore, the length of its tail is 35.75 inches.

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Two candidates face each other in an election. The Democratic candidate is supported by 46% of the population, and the Republica

7nadin3 [17]

Answer:

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they support the Republican candidate, or they do not. The people are chosen at random, which means that the probability of them supporting the republican candidate is independent from other people. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

The Republican candidate is supported by 54%. This means that $p = 0.54$

Suppose you run a poll of 8 people (randomly choose 8 people). What is the probability that less than half of them (3 or fewer) would support the Republican candidate?

This is $P(X \leq 3)$ when $n = 8$ .