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Lena [83]
3 years ago
11

Hannah loved mini-Snickers bars. She enjoyed making treats with them. She used 1/2 of her supply to make a blizzard. She froze 1

/4 of the remainder to enjoy later,and she used the rest to bake cookies. If she had 4 dozen to begin with, how many did she freeze? (PLEASE SHOW STEPS!)
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0
4 dozen. That means she used half, she has 2 dozen left.  1/4 of that is 1/2 of a dozen, so she has 6 or 1/2 a dozen snickers bars left. Is this middle school? I am in middle school and my lessons are constant of proportionality!!
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4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
Westkost [7]

Answer:

0.5625 = 56.25% probability that she will make the next two free-throws in the next game.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This 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.

75% of her free-throws.

This means that p = 0.75

What is the probability that she will make the next two free-throws in the next game?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625

0.5625 = 56.25% probability that she will make the next two free-throws in the next game.

7 0
3 years ago
Solve the equation <br> 3x-y=28<br> 3x+y=14
Elis [28]

Answer:

  (x, y) = (7, -7)

Step-by-step explanation:

You can eliminate y by adding the two equations:

  (3x -y) +(3x +y) = (28) +(14)

  6x = 42 . . . . simplify

  x = 7 . . . . . . divide by 6

You can eliminate x by subtracting the two equations:

  (3x +y) -(3x -y) = (14) -(28)

  2y = -14 . . . . simplify

  y = -7 . . . . . . divide by 2

The solution is (x, y) = (7, -7).

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8_murik_8 [283]

Answer:

92.79% probability that the mean clock life would be greater than 15.1 years.

Step-by-step explanation:

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3 years ago
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