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givi [52]
3 years ago
9

Dustin complained 3/8 of a homework assignment that has 24 problems. Kelsey completed 4/15 of a homework assignment that has 30

problems. Who has completed more problems?
Mathematics
1 answer:
hjlf3 years ago
3 0

Dustin has completed more problems.

You can first use the 2 factors of 24, which are 3 and 8. To make it so you can compare the amount of problems completed with total amount, you need to multiple 8 x 3 and 3 x 3. This will turn 3/8 into 9/24, meaning that dustin has completed 9 problems. You can first use the 2 factors of 30, which are 2 and 15. Once again, to make it so you can compare the amount of problems completed with total amount, you need to multiple 2 x 15 and 2 x 4. This will turn 4/15 into 8/30, meaning that kelsey has completed 8 problems.

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Distance between (2,7) and (-1,3)
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Answer:

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3 years ago
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Simplify the expression shown. You must show your work to receive credit.
ZanzabumX [31]

ANSWER

12 \sqrt{5}

EXPLANATION

The given expression is

\sqrt{2}  \times  \sqrt{72}  \times  \sqrt{5}

The middle radical contains a perfect square.

\sqrt{2}  \times  \sqrt{36 \times 2}  \times  \sqrt{5}

\sqrt{2}  \times  \sqrt{36}   \times  \sqrt{2} \times  \sqrt{5}

6\sqrt{2}  \times  \sqrt{2} \times  \sqrt{5}

Note that:

\sqrt{a}  \times  \sqrt{a}  = a

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3 years ago
A.) SSS<br><br> B.) AAS<br><br> C.) ASA<br><br> D.) SAS
Vlada [557]

Side BC is congruent to side BC.

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3 years ago
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Umnica [9.8K]

Answer:

a. X is a binomial random variable with n = 50 and p = 0.04

b. Y is a binomial random variable with n = 40 and p = 0.015

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 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.

X: the number of US residents (out of 50) with blood type AB.

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States

This means that p = 0.04, n = 50

Y: the number of Australians (out of 40) with blood type AB.

In Australia, only 1.5% of the population has blood type AB.

This means that p = 0.015, n = 40

Z: the total number of individuals (out of 90) with blood type AB.

Here

n = 90, p = 0.04*\frac{50}{90} + 0.015*\frac{40}{90} = 0.0289

Which of the following is true about the random variables X, Y, and Z?

Options a and b are true, while c is false.

7 0
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