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Dennis_Churaev [7]
3 years ago
7

A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend r

egularly generally get better grades. In fact, 57% of those who come to class on a regular basis receive A's. Only 16% who do not attend regularly get A's. The long run attendance rate is 81%. Based on this class profile find the following:__________
A) The percent who get A's given that they attend class regularly
B) The percent who get A's given that they do not attend class regularly
C) The overall percent of the students who get A's in the class
D) The percent who attend class regularly given that they get A's
Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

A) 57%

B) 16%

C) 53%

D) 57%

Step-by-step explanation:

Let R1 be students that attend class regularly

R2 be students that don't attend class regularly

A be students that receives A's in class

A) From the question A/R1 =57%

P(A/R1) = 0.57

B) From the question students that receive As that does not attend lectures regularly =16%

C) P(R2) = 1 -0.57 = 0.43

P(A) = P(A/R1) × P(R1) + P(A/R2)×P(R2)

P(A) = (0.57× 0.81) + (0.16×0

43)

P(A) = 0.46 + 0.0688= 0.53

The overall percentage that recieved A's = 53%

D) 57% recieved A's given that they attend class regularly.

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The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

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x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
5 0
3 years ago
For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5
Keith_Richards [23]

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

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 combinatios 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.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

6 0
3 years ago
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Elena L [17]

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

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Answer:

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