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3 years ago

12

Into a bucket, 3.705 liters of water flowed in 7.8 minutes. Enter the number of liters that flowed into the bucket each minute a

s a decimal in the box.

1 answer:

Anastaziya [24]3 years ago

5 0

3.705 litres/7.8min
0.475 litres/min

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A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago

How do I work it out step by step y^2+5y+6

enyata [817]

Answer:

7y+6

Step-by-step explanation

You have to do 2 times y first. That is 2y. Then you have to add 2y plus 5y, which is 7y. 7y plus 6 equals 7y+6.

3 0

3 years ago

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Tasha claims that her skateboard weighs about 3 pounds. is Tasha's claim reasonable? Explain

gladu [14]

Yes, It would be reasonable since thats about the weight of a skateboard.
However, the average skateboard is closer to 6 pounds. So, the skateboard in the question is very possible- but it would be really low quality.

However- given that you are in middle school- I would say yes, it is reasonable.

8 0

3 years ago

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Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp

kobusy [5.1K]

Answer:

He will finish the rest of the problems in 32.4 minutes.

Step-by-step explanation:

Since we are given that Yan has completed 3/5 of 45 problems i.e.

$\frac{3}{5}*45$

$27$

Thus he has completed 27 problems

Remaining no. of problems are 45-27 = 18

Since he complete each problem in minutes = $1\frac{4}{5} =\frac{9}{5} =1.8$

So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes

Hence , He will finish the rest of the problems in 32.4 minutes.

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3 years ago

the ratio of men to women working for a company is 4 to 7. If there are 286 employees total, how many men work for the company?

patriot [66]

Answer: 104 men work for the company

Step-by-step explanation:

man = 4 x

woman = 7--------- you don't need these so i cross it out.

------------------------

total = 11 286

so you get 1144 - 11x

then divide 1144 by 11 and you get x = 104

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3 years ago