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3 years ago

What is the solution to the system?

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

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What is the answer to 1/2-1/4

irinina [24]

1/2-1/4
(1/2x2)-1/4
2/4-1/4
2-1
1
1/4

4 0

3 years ago

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Solve the equation x+1<5<br> #

OLEGan [10]

It's the inequality.

$x+1$

7 0

3 years ago

Please help ASAP 40 pts

natali 33 [55]

Answer:

x=2

Step-by-step explanation:

We know AC = BC since this is an isosceles triangle

6 = 2x+2

Subtract 2 from each side

6-2 =2x+2-2

4 =2x

Divide each side by 2

4/2 =2x/2

2=x

4 0

3 years ago

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A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?

Nadya [2.5K]

Answer: There are 22.2 pounds of water in the bag.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).

Mathematically speaking:

30 x (74/100) = 30 x 0.74 =22.2 pounds

There are 22.2 pounds of water in the bag.

Feel free to ask for more if needed or if you did not understand something.

3 0

3 years ago

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