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bekas [8.4K]
2 years ago
14

Select the expression that has a value of 15.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

Second option

Step-by-step explanation:

We will use the process of elimination to find the answer:

<u>First option:</u>
4+(8\times4)\div6+7
8\times4=32
4+32\div6+7
4+32=36
36\div6+7
36\div6=6
6+7=13
=13

<u>Second option:</u>
(4+8)\times4\div6+7
4+8=12
12\times4\div6+7
12\times4=48
48\div6+7
48\div6=8
8+7=15
=15

Which means your answer is the second option or "4 + (8 × 4) ÷ 6 + 7."

Hope this helps.

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3 years ago
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The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams
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Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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.

Mean of 90 grams and a standard deviation of 2 grams.

This means that \mu = 90, \sigma = 2

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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

Z = \frac{94 - 90}{2}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 86

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

Z = \frac{86 - 90}{2}

Z = -2

Z = -2 has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

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Step-by-step explanation:

f(x) + g(x)

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