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3 years ago

Plz help I will give anyone who answers this correctly 100 points.

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

126.

Step-by-step explanation:

Each rectangle is a step. We'll start with the top one. This is simple: 6 times 3.

$6 * 3 = 18.$

The farthest left is 5 times 3.

$5 * 3 = 15.$

The crossed one is 6 times 5.

$6 * 5 = 30.$

The one to the right of the crossed one is 3 times 5, again.

$3 * 5 = 15.$

The farthest right is 6 times 5, again.

$6 * 5 = 30.$

The bottom one is 6 times 3, again.

$6 * 3 = 18.$

Now, we add.

$18 + 18 = 36.\\15 + 15 = 30.\\30 + 30 = 60.\\36 + 30 + 60 = 126.$

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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan

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Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 120, \sigma = 5.6$

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

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

$Z = \frac{121.4 - 120}{5.6}$

$Z = 0.25$

$Z = 0.25$ has a pvalue of 0.5987

X = 119.4

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

$Z = \frac{119.4 - 120}{5.6}$

$Z = -0.11$

$Z = -0.11$ has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

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3 years ago

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Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Jo

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Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

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After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

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In the final there were 71 nuts remaining, so we have that:

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N - N/3 - N/6 - N/4 = 81

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4 years ago