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3 years ago

Fraction as a mixed number in simplest form

Mathematics

1 answer:

goblinko [34]3 years ago

3 0

It’s just 2 over 3 because it’s not a number with a value greater than one

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Use the Intermediate Value Theorem to show that the polynomial has a real zero between -4 and -1

hjlf

The answer is A
F (-4)=-23 < 0
F (-1)=16> 0

8 0

4 years ago

In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo

Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

$P(B) = 0.6$

P(A/B) is the probability that the participant dies, given that he is a non smoker. So:

$P(A/B) = x$

P(A) is the probability that the participant dies:

$P(A) = P_{1} + P_{2} + P_{3}$

$P_{1}$ is the probability that a heavy smoker is selected and that he dies. So:

$P_{1} = 0.15*5x = 0.75x$

$P_{2}$ is the probability that a light smoker is selected and that he dies. So:

$P_{2} = 0.25*3x = 0.75x$

$P_{3}$ is the probability that a non-smoker is selected and that he dies. So:

$P_{3} = 0.60*x = 0.60x$

The probability that a participant dies is:

$P(A) = P_{1} + P_{2} + P_{3} = 0.75x + 0.75x + 0.60x = 2.10x$

The probability of the participant being a non-smoker, given that he died, is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.6x}{2.10x} = \frac{0.6}{2.10} = 0.2857$

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

7 0

3 years ago

Amy earned $25 after babysitting for 3 hours.if she always charges the same rate ,how much will she make after working for 7 hou

bagirrra123 [75]

$58.33 twenty five divided by three times seven

4 0

4 years ago

Read 2 more answers

you have one case of soap bars and there are 150 bars in a case you use 300 bars of soap per day how many cases do you need to o

Charra [1.4K]

The Answer to your question is 14 cases for 7 days

4 0

3 years ago

Read 2 more answers

a set if cards includes 20 yellow cards, 16 green cards, and 24 blue cards. what is the probability that a blue card is chosen a

devlian [24]

Answer:

2/5

Step-by-step explanation:

Probability is the chance that a certain event occurs out of the total events.

Here, the event of "choosing a blue card". The total events are just "choosing any card".

There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60: $\frac{24}{60}$ . Simplifying, we get:

$\frac{24}{60} = \frac{2}{5}$

Thus, the answer is 2/5.

Hope this helps!

4 0

3 years ago