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pychu [463]
3 years ago
12

A 30-60-90 triangle has a short leg of 6. What is the length of the long leg?

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

6√3

Step-by-step explanation:

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120,540,000 word form
tamaranim1 [39]

Answer:

one hundred twenty million five hundred forty thousand

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3 years ago
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A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit
Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution 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.

62% of the voters are Democrats

This means that p = 0.62

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0
3 years ago
Can someone help me find the domain of this function please ?
ratelena [41]

Answer: It is A=-1<x<-6 is the domain

4 0
4 years ago
When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi
Vesnalui [34]

Answer- 42646.50 pounds


Area of flat surface = Area of rectangle + area of triangle

                                = 12.9*25 + 1/2* 7.2* 25

                                 = 162.5 feet^2

Force exerted by wind =0 .004 * Area * velocity^2

                                      = 42646.50 pounds

5 0
3 years ago
Need do find the domain and range
Morgarella [4.7K]

Answer:

So

Domain: (-∞,∞)

Range: [-\frac{105}{8} ,∞)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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