MATHEMATICS COLLEGE

B is the midpoint of AC, D is the midpoint of CE , and AE = 23. Find BD.12.5
46
11.5
23
B is the midpoint of AC, D is the midpoint - 1

Answers

Answer 1
Answer: 11.5 is the length of bd

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You know only the given information aboutthe measures of the angles of a triangle. Find the probability that the triangle is equiangular.39. Each is a multiple of 12.
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Ifā=r, then which of the following are true statements?Check all that apply.
O A. n1/r = a
✓ B. = a
c. a1/nur
O D. a' = n.

Answers

Answer:

B. a = rⁿ

C. a¹/ⁿ = r

Step-by-step explanation:

ⁿ√a = r

The above expression can be simplified as follow:

1. ⁿ√a = r

Recall:

ⁿ√a = a¹/ⁿ

Therefore,

a¹/ⁿ = r

2. ⁿ√a = r

Take the n square of both side

(ⁿ√a)ⁿ = rⁿ

(a¹/ⁿ)ⁿ = rⁿ

a = rⁿ

In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country. If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?

Answers

Answer:

The probability that the student is in high school and has visited a foreign country is 0.18.

Step-by-step explanation:

We are given that in a survey of students, 60% were in high school and 40% were in middle school.

Of the high school students, 30% had visited a foreign country.

Let the Probability that students were in high school = P(H) = 60%

Probability that students were in middle school = P(M) = 40%

Also, let F = event that students had had visited a foreign country

So, Probability that high school students had visited a foreign country = P(F/H) = 30%

Now, probability that the student is in high school and has visited a foreign country is given by = Probability that students were in high school * Probability that high school students had visited a foreign country  

            =  P(H)  *  P(F/H)

            =  0.60  *  0.30

            =  0.18 or 18%

A 20-foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? Round the answer to the nearest tenth.A. 21.5
B. 18.3
C. 15.7
D. 19.1

I keep getting 18.3 as my answer, but I feel like I'm doing something wrong. Can somebody please explain and show me how to do this correctly? I don't think I'm doing it right :(

Answers

You use Pythagorean theorem to solve it and you get 18.3. Just look at the picture to see how i solved it

WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value the second year. what is your gain compared to your original investment?

Answers

Answer:

$183.7125

Step-by-step explanation:

Given,

Original investment, A = $ 5,175.00

In first year,

Thetotal investment = $ 5,175.00

The amount is increased by 9 %,

Thus, the final amount at the end of first year,

A_1=5,175(1+(9)/(100))^1

=5175(1+0.09)

=5175(1.09)

=\$ 5640.75

In Second year,

The total investment = $ 5640.75,

The amount is decreased by 5 %,

Thus, the final amount at the end of second year,

A_2=5640.75(1-(5)/(100))^1

=5640.75(1-0.05)

=5640.75(0.95)

=\$ 5358.7125

Hence,

\text{Total Gain}=A_2-A

=5358.7125-5175

=\$183.7125
5,175 + 9% = 5640.75

5640.75 - 5% = 5302.305

Original investment = 5,175
Gain                          = 5,302.305

Subtract them both and get = 127.305

Suppose we have collected times, in minutes, that it takes volunteers to complete a set of pencil and paper mazes. Volunteers are randomly assigned to one of two groups. Group 1 watch a 5 minute video explaining good strategies for completing the mazes. Group 2 watch a 5 minute video of other people successfully completing the mazes, but with no explanation given.Researchers are interested in testing against the null hypothesis that there is no difference in population mean times that it takes people to complete mazes after watching either type of video.There are the summary statistics after collecting data. Note that the sample sizes differ, because some subjects did not follow instructions correctly and so they were not included in the analysis.x1 = 11.98, x2 = 9.15s1 = 8.69, s2 = 7.75n1 = 43, n2 = 52a. Is this an experimental or observational study?

Answers

Answer:

Is an experimental study

Step-by-step explanation:

In an observational study you don't control any aspect of the investigation you just observe the variables that you determined since the beginning without any intervention.

In this case you are controlling who sees one or the other video, then you are controlling one of the variables that is the type of video each group sees and because of this it is an experimental study. Researchers designed an experiment to prove the null hypothesis they had.

A 10-ounce box of
cereal is $4.50. What
is the cost in dollars
of each ounce?

Answers

Answer:

45 cents for each ounce.

Step-by-step explanation:

Take away the decimal, divide 450 by 10, and you get 45.
10x = 4.5
divided 10 to both sides leaves u with 0.45.
Answer is $0.45!
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