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erastova [34]
3 years ago
8

Select the correct answer.

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
Answer: 45

Explanation:
The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement. Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle.
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Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the
dsp73

Answer:

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

He counts the legs of all his animals and realizes he has a total of 118 legs.

Question asked:

How many chickens does the farmer have ?

Solution:

Let number of chickens = x

Then  number of cows = 40-x

Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :

<u>Total number of legs = Number of legs having chickens + Number of legs having cows</u>

118 = 2x+4(40-x)\\118=2x+160-4x

118=-2x+160

Subtracting both sides by 160

-42=-2x

By adding both sides by minus

42 = 2x\\

By dividing both sides by 2

x =21

Hence, farmer have 21 pieces of chickens.

8 0
3 years ago
Your family plans to start a small business in your neighborhood.Your father borrows $10,000 from the bank at an annual interest
Temka [501]

Answer:

10000*8%*3

=$2400 loan interest


4 0
3 years ago
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0
3 years ago
Which shows the inequality for numbers at least 70?
erma4kov [3.2K]
Jejrhfhfhfhfhfhfhfhfhfjfjfjfjfjfjfjf
6 0
3 years ago
A boy spends 4/15 on cloth, 1/5 on food and 5/12 on drink. what fraction is left for other things
mamaluj [8]

Answer:

4/15+1/5+5/12=53/60 so

7/60

Hope This Helps!!!

5 0
3 years ago
Read 2 more answers
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