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Misha Larkins [42]

3 years ago

8

Kendall was able to score 368 points on 32 games. create a unit rate for this information.

1 answer:

Lesechka [4]3 years ago

8 0

(368 points) / (32 games) = 11.5 points/game

(32 games) / (368 points) = 0.08696 game/point

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Kyle wants to buy a hat for $5.75, a T-shirt for $7.65, and a keychain for $3.15. He has $16. Does

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He doesn’t have enough for all 3

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Gary had a 40% discount for car speakers. The sale price of the speakers was $96.25. What was the original price of the speakers

Ostrovityanka [42]

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

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3 years ago

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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with

Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution 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.

In this question, we have that:

$n = 7, p = 0.5$

Find the probability that the number of correct answers is fewer than 4:

This is

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078$

$P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547$

$P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641$

$P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5$

So

P(X < 4) = 0.5

6 0

3 years ago

Miranda had 4 pounds, 6 ounces of clay. She divided it into 10 equal parts. How heavy was each part?

Mazyrski [523]

Change pounds to ounces.

1 pound = 16 ounces.

4 x 16 = 64 + 6 = 70 total ounces of clay.

Now divide by 10:

70 / 10 = 7

Each part was 7 ounces.

3 0

3 years ago