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Colt1911 [192]
1 year ago
7

A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or fal

se questions. The science quiz has 3 multiple choice questions.

Mathematics
2 answers:
nalin [4]1 year ago
6 0

Answer:

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

dalvyx [7]1 year ago
5 0

Answer:

He is correct

Step-by-step explanation:

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Thor and Zeus strike with their hammers. The higher they raise their hammers before they strike, the louder the sound of the str
Ulleksa [173]

Answer:

The first part is C) The increase in loudness per centimeter is the same for both

The second part is A) Thor's

Step-by-step explanation:

First part:

<u>Whose loudness increases more per additional centimeter of height?</u>

C) The increase in loudness per centimeter is the same for both

Second part:

<u>Whose strike is louder when he strikes from a height of 40 centimeters?</u>

A) Thor's

I did it on Khan and it was correct.

5 0
2 years ago
Read 2 more answers
In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what
alukav5142 [94]

Answer:

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( tutor charges between $10 and $20 per hour)

P(10 \leq x \leq 20)\\\\ = P(\displaystyle\frac{10 - 15}{5.25} \leq z \leq \displaystyle\frac{20-15}{5.25})\\\\ = P(-0.9523 \leq z \leq 0.9523)\\\\= P(z \leq 0.9523) - P(z < -−0.9523)\\= 0.8295 - 0.1705= 0.659

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

5 0
2 years ago
A certain firm has plants a, b, and c producing respectively 35\%, 15\%, and 50\% of the total output. The probabilities of a no
TEA [102]

The proportion of production that is defective and from plant A is

... 0.35·0.25 = 0.0875

The proportion of production that is defective and from plant B is

... 0.15·0.05 = 0.0075

The proportion of production that is defective and from plant C is

... 0.50·0.15 = 0.075

Thus, the proportion of defective product that is from plant C is

... 0.075/(0.0875 +0.0075 +0.075) = 75/170 = 15/34 ≈ 44.12%

_____

P(C | defective) = P(C&defective)/P(defective)

8 0
1 year ago
Drag the tiles to the correct boxes to complete pair. Two cards are drawn from a well-shuffled standard deck of cards. Match eac
joja [24]

Answer:

The  correct answers are given below

Step-by-step explanation:

In a deck of 52 cards, there are 4 suits of 13 cards

1) Spade(red)

2). Heart(red)

3). Diamonds (red)

4). Clubs (black)

Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2

To find the probabilities

1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442

2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169

3). The probability of drawing a king followed by queen with replacement =  4/52 * 4/52 = 1/169

4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52

8 0
2 years ago
Read 2 more answers
The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, d
Pepsi [2]

Answer:

The closest to the maximum profit is  x = \$ 83682

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu  =  \$66,000

   The standard deviation is  \sigma  = \$ 21000

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     P(X >  x ) =  0.20

=>  P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20

From the z-table  the z-score for  0.20  is  

    z-score =  0.842

So

     \frac{x -66000}{21000}  = 0.842

=>   x = \$ 83682

4 0
2 years ago
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