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kkurt [141]
2 years ago
8

2. Jenna has 168 cookies. If she wants to put an equal number of cookies on each of 6 plates, how many cookies will be on each p

late?
3. Jaden has 72 trophies. If he wants to put an equal number of trophies in each of 4 boxes, how many trophies would be in each box?
HELP ASAP DUE TOMORROW!!​
Mathematics
1 answer:
myrzilka [38]2 years ago
3 0

Answer:

2. 168/6= 28

3. 72/4= 18

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1. A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge
LenKa [72]

Answer:

a) 0.001 = 0.1% probability that she will get five questions correct.

b) 0.0156 = 1.56% probability that she will get at least four questions correct.

c) 0.2373 = 23.73% probability that she will get no questions correct.

d) 0.8965 = 89.65% probability that she will get no more than two questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she gets it correct, or she does not. The probability of getting a question correct is independent of any other question, which means that the binomial probability distribution is used to solve this question.

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 combinations 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.

There are five multiple choice questions on the exam.

This means that n = 5

She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box.

This means that p = \frac{1}{4} = 0.25

a. Five questions correct?

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001

0.001 = 0.1% probability that she will get five questions correct.

b. At least four questions correct?

This is:

P(X \geq 4) = P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146

P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.0146 + 0.001 = 0.0156

0.0156 = 1.56% probability that she will get at least four questions correct.

c. No questions correct?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373

0.2373 = 23.73% probability that she will get no questions correct.

d. No more than two questions correct?

This is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373

P(X = 1) = C_{5,0}.(0.25)^{1}.(0.75)^{4} = 0.3955

P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2373 + 0.3955 + 0.2637 = 0.8965

0.8965 = 89.65% probability that she will get no more than two questions correct.

3 0
3 years ago
Find the probability that you roll the same number twice in a row when you toss two fair 6-sided dice.
marysya [2.9K]

Answer: 6/36

Step-by-step explanation:

When tossing two number cubes, you can get such sample space

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

There are 36 possible outcomes. Only (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) use the same number twice.

Hence, the probability that you roll two numbers that are the same in a row is 6/36, or in simplified form, 1/6.

Hope that helps! :)

8 0
2 years ago
Find the volume of the cylinder shown using the formula in the box below. Round your answer to the nearest tenth. Show your work
Sophie [7]

Answer: 1960.2 cm

Step-by-step explanation:

<em>v = πr^2h</em>

v = π7.4^2(11.4)

= π54.76(11.4)

= 171.9464(11.4)

=<u> 1960.2 </u>

7 0
2 years ago
Help i cannot write proportions
Alik [6]

Answer:

example 4:2

Step-by-step explanation:

A proportion shows how many parts of one side equals the other. For every four times i kick a soccer ball, I make it in twice. For every 8 times, I make it in 4.

6 0
3 years ago
Check for understanding. <br><br> need help with all 3. PLS HELP
Dominik [7]

1. X=5

2. X=-5

3. Y=10

Step-by-step explanation:

those are the answers

8 0
3 years ago
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