MATHEMATICS COLLEGE

From a set of 5 nickels, 10 dimes and 15 quarters, six coins are removed at random without replacement. a. Find the probability of not removing 6 quarters.
b. Find the probability of removing exactly 2 nickels, 2 dimes and 2 quarters.

Answers

Answer 1
Answer:

Answer:

(a) 1 - (15 C 6) / (30 C 6)

(b)  (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)

Step-by-step explanation:

Number of  nickels = 5

Number of dimes = 10

Number of quarters = 15

(a) The probability of getting 6 quarters  

= (15 C 6) / (30 C 6)

So, the probability of not getting 6 quarters = 1 - (15 C 6) / (30 C 6)

(b) Probability of getting 2 nickels , 2 dimes and 2 quarters

= (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)

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Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of μ = 8.9 new words (words not used in the poet’s other works). The standard deviation of the number of new words is σ = 2.5. Now a manuscript with six new sonnets has come to light, and scholars are debating whether it is the poet’s work. The new sonnets contain an average of x~ = 10.2 words not used in the poet’s known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.H0 : µ = 8.88 vs Ha : µ > 8.88Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)Use 2 decimal places for the z-score and 4 for the p-value.a. What is z?b.The p-value is greater than?c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Please help!! Thank youu

Answers

Answer:

Your answer is C

Step-by-step explanation:

Supplementary angles are angles that come out to 180 degrees when added.

90+90=180

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.

Answers

Answer:

H₀:μ = 550 vs. Hₐ:μ < 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.

A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.

Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.

Principal: $300 annual interest rate: 5% time: 4 yr​

Answers

Answer:

$364.65

Step-by-step explanation:

5% = 0.05 per year

300(1+0.05/1)(1) (4)

= 364.65

The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).What are the coordinates of the other endpoint of the line segment?

Answers

The coordinates of the other endpoint of the line segment are Y(x,y) = (-10, 11).

Vectorially speaking, the midpoint of a line segment is determined by the following expression:

M(x,y) = (1)/(2)\cdot X(x,y) + (1)/(2)\cdot Y(x,y)(1)

Where:

  • M(x,y) - Midpoint.
  • X(x,y), Y(x,y) - Endpoints of the line segment.

If we know that M(x,y) = (-3, 2) and X(x,y) = (4, -7), then the coordinates of the other endpoint is:

(1)/(2)\cdot Y(x,y) = M(x,y) -(1)/(2)\cdot X(x,y)

Y(x,y) = 2\cdot M(x,y) -X(x,y)

Y(x,y) = 2\cdot (-3,2)-(4,-7)

Y(x,y) = (-6, 4) - (4, -7)

Y(x,y) = (-10, 11)

The coordinates of the other endpoint of the line segment are Y(x,y) = (-10, 11).

We kindly invite to check this question on midpoints: brainly.com/question/17506315

ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical. then find the value of x.

Answers

Answer:

The angles are adjacent and x=100

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Answers

Answer:

there you go but im not sure . hope its helpful and good luck ;)
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