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garri49 [273]
3 years ago
7

-2b^2-18b^2 Help me. Plz

Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

Answer:

{ \tt{ -  {2b}^{2}  - 18 {b}^{2} }} \\ =   -  {20 {b}^{2}}

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A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation
Reika [66]

Answer:

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

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.

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.

This means that \mu = 29, \sigma = 4

What is the probability of filling a cup between 33 and 35 ounces?

This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.

X = 35

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

Z = \frac{35 - 29}{4}

Z = 1.5

Z = 1.5 has a p-value of 0.9332.

X = 33

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

Z = \frac{33 - 29}{4}

Z = 1

Z = 1 has a p-value of 0.0413.

0.9332 - 0.0413 = 0.8919

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

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3 years ago
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D

Step-by-step explanation:

The rule of exponents

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Shows that when 2 powers with the same base are being multiplied then the exponents are added.

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Writing equations in standard form:
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