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KiRa [710]
3 years ago
10

Express each ratio as a fraction in simplest form. A. 2/29 B. 29/10 C. 20/29 D. 10/29

Mathematics
2 answers:
Tresset [83]3 years ago
6 0
<span>Express 10 pints to 29 pints in simplest form.
The answer is 10/29 since 10 and 29 don't have a common factor to divide them both with. As a result, they stay as is 10/29 in already the simplest form. A is also in simplest form. B is in improper fraction form, also in simple form, can be turned into mixed number form. C is also in simplest form. The best answer is D since 10 pints to 29 pints is the instructions.</span>
Alik [6]3 years ago
6 0

Answer:

  • A. 2/29
  • B. 29/10
  • C. 20/29
  • D. 10/29

Step-by-step explanation:

The fractions are already in their simplest forms.

If lets say for A we had 20/290.

Their common factor would be both 10.

We would then ask how many 10's make 20, and would have an answer of 2.

We would then also ask how many 10's make 290, and would find out it's 29.

Then to put the fraction 20/290 to it's simplest form and have 2/29.

It would be the same for B, C and D.

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Answer:

Step-by-step explanation:

Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation.

2X - 5 = 3(4x + 5)

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Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers
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Writing the two equations in full and subtracting R(x) from W(x) to arrive at D (x) gives the answer. This is shown below;

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-----------------------------------------------
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3 years ago
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time. A test is conducted by randomly selectin
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Answer:

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. 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.

BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.

This means that 100 - 80 = 20% are late, which means that p = 0.2

Randomly selecting 16 BlueSky Air flights

This means that n = 16

What is the probability that 2 flights of BlueSky Air arrive late?

This is P(X = 2).

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

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.211

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

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3 years ago
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