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docker41 [41]
3 years ago
10

Add 19 to me. Then subtract 4. If you divide me by 3 and then

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

Answer:

Step-by-step explanation:

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If (2x + 4) - (x + 3) = 15, then x =
kap26 [50]

Answer:

x=14

Step-by-step explanation:

6 0
3 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
Help please!!! ty ;D
solmaris [256]

Answer:

Jane is 52 7/40 inches tall

Step-by-step explanation:

What you do is you subtract 1 3/8 from 54 3/4 which gives you Carl's height, which is 53 3/8.

Lastly, you subtract 1 1/5 from 53 3/8 which is 52 7/40.

4 0
3 years ago
Read 2 more answers
Which set of numbers includes only integers?
Lelu [443]

Answer:

{14,23,654,0,9}

Step-by-step explanation:

The first three contain negative numbers and decimal points therefor the last one {14,23,654,0,9} is correct.

3 0
3 years ago
Read 2 more answers
Alan buys 5.2 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How m
Ainat [17]
11.95 ounces

5.2 + 6.75 = 11.95
7 0
3 years ago
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