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2 years ago

Please take a look at the picture

Mathematics

1 answer:

LenKa [72]2 years ago

8 0

Answer:

A) -3/-11

Step-by-step explanation:

-3/-11-3/11

-3/-11

Reduce the fraction with -1.

3/11

Hope this help :)

You might be interested in

n a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information o

yaroslaw [1]

Answer:

3.93% probability that both say service is poor

Step-by-step explanation:

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

The customers are chosen without replacement, and the order in which they are chosen is not important. So we use the combinations formula 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.

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

What is the probability that both say service is poor?

Desired outcomes:

Two saying it is poor, from a set of 66. So

$D = C_{66,2} = \frac{66!}{2!(66-2)!} = 2145$

Total outcomes:

Two customers from a set of 331. So

$T = C_{331,2} = \frac{331!}{2!(331-2)!} = 54615$

Probability:

$p = \frac{D}{T} = \frac{2145}{54615} = 0.0393$

3.93% probability that both say service is poor

4 0

2 years ago

Leah and Carl share a 12-ounce box of cereal. By the end of the week, Leah has eaten

Anton [14]

Answer: Use Fractions and Multiplication.

Step-by-step explanation:

To start, you need to find 1/6 of 12. The easiest way to do this is to multiply 12/1 by 1/6. The answer is 12/6, which simplifies to 2. Then, you do the same for 2/3: 12/1*2/3=24/3, which simplifies to 8. You then add the results to figure out how much has been eaten. 8+2=10

7 0

3 years ago

In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160

Talja [164]

Answer:

32 aces

Step-by-step explanation:

4/20= x/160

once you set up this proportion you can cross multiple to get:

20x= 640

then just solve for x:

x= 32

5 0

2 years ago

Mrs Ruiz needs to put 0.25 oz of water into each cup for a science experiment. How many cups can she fill with a 24 oz bottle of

balu736 [363]

She can fill 96 cups because you divide 24 by .25

3 0

3 years ago

Read 2 more answers

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago