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Natasha_Volkova [10]
3 years ago
14

A student reports that, of a simple random sample of 50 college u undergraduate students, 21 % were taking more than fifteen cre

dit hours we know that the student has made mistake (or maybe really did not conduct the survey). Why? A) There are . 5 0 students in the sample, so percentages should be multiples of 2% B) There are 50 students in the sample, so percentages should be multiples of 0.02% c) D) 21% of 50 students is 10.5 students, and you cannot sample a fraction of a student. Both A and C are correct. E) Both B and C are correct
Mathematics
1 answer:
algol133 years ago
6 0

Answer:

D) Both A and C are correct.

Step-by-step explanation:

If the sample contains 50 students, the percentage equivalent to each student is:

P = \frac{100\%}{50}=2\%

Each student corresponds to 2%, which means that percentages should be multiples of 2%.

21% is not a multiple of 2% and corresponds to:

n = 0.21*50 = 10.5

21% of 50 students is 10.5 students, and you cannot sample a fraction of a student.

Therefore, Both A and C are correct.

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Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, a
Keith_Richards [23]

Answer:

(a) 4/9

(b) 19/27

Step-by-step explanation:

The probability of each die turning up red or not turning red are:

P(R) =\frac{2}{6}= \frac{1}{3}\\P(O) =\frac{4}{6}= \frac{2}{3}

(a). Exactly one face up is red.

The odds of only the first die being red are:

P(A=R) =\frac{1}{3} *\frac{2}{3}* \frac{2}{3} \\P(1=R) =\frac{4}{27}

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

P(R=1) = 3*\frac{4}{27}\\P(R=1) = \frac{4}{9}

(b). At least one face up is red.

The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.

Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

P(R=2) = 3*(\frac{1}{3}*\frac{1}{3}*\frac{2}{3})\\P(R=2) = \frac{2}{9}

The probability that all die turn up red is:

P(R=3) = \frac{1}{3}*\frac{1}{3}*\frac{1}{3}\\P(R=3)=\frac{1}{27}

Thus, the probability that at least one die turns up red is:

P= P(R=1)+P(R=2)+P(R=3) = \frac{4}{9}+\frac{2}{9}+\frac{1}{27}\\P=\frac{19}{27}

4 0
3 years ago
A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After fi
AlekseyPX

Answer:

  5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

  A$ 1/(NRs 77.02) = x /1,50,000

  x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

  (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

  x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

  (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

<em>Additional comment</em>

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

5 0
2 years ago
I need help with theses questions
Ronch [10]

The relationship of the given angles are:

1. A. Adjacent

2. B. vertical

3. B. vertical

4. E. linear pair

5. C. complementary

6. D. supplementary

7. C. complementary

8. A. adjacent

9. A. adjacent

10. D. supplementary

11. A. adjacent

12. C. complementary.

<h3>How to Determine the Relationship Between Angles?</h3>

Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.

1. Angles 2 and 3 share a common vertex and a common side, therefore:

<2 and <3 are: A> Adjacent

2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:

<3 and <4 are: B. vertical

3. <1 and <3 are: B. vertical

4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair

5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary

6. 123 + 57 = 180. Therefore, they are: D. supplementary

7. Angles a and b form a right angle. Therefore, they are: C. complementary

8. <1 and <2 are: adjacent

9. <3 and <4 are: A. adjacent

10. 90 + 90 = 180, therefore, the angles are: D. supplementary

11. Both angles are: A. adjacent

12. 40 + 50 = 90 degrees. Therefore, the angles are: C. complementary.

Learn more about the relationship of angles on:

brainly.com/question/12591450

#SPJ1

4 0
1 year ago
Karen received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.23 per pound. After buying the
aleksandrvk [35]

Answer:

4

Step-by-step explanation:

80 - 47.08 = 32.92

32.92/8.23 = 4

4 0
3 years ago
Read 2 more answers
8n-12=6n+6 I need help figuring out this answer I been having some troble
Gennadij [26K]
Solve the equation with the following steps:
8n-12=6n+6
Subtract 6n from both sides
2n-12=6
Add 12 to both sides
2n=18
Divide both sides by 2
n=9
8 0
3 years ago
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