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S_A_V [24]
2 years ago
15

Write the product in its simplest form: -4y²• 8y4

Mathematics
1 answer:
denpristay [2]2 years ago
8 0
-128y^2 x y^1 +2 = -128y^3
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Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

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

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

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

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
What is the slope and y-intercept of y+3= -1/3
bazaltina [42]

Assuming this is written correctly, with no x in the equation, we just solve for y:

y = -3 - 1/3 = -10/3 = 0 x - 10/3

That's slope-intercept form.

Answer: Slope 0, y-intercept -10/3


5 0
3 years ago
Label the slope and y intercept ​
astra-53 [7]

Answer:

Slope is 5 and y intersept is 5over6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write a real-world word problem that can be solved using elapsed time. Include the solution.
ElenaW [278]
Or...you could do this.

Lacey walks in a store at 8:30,the store opens at 12:00,how much time does Lacey have to get the store opened and stock the shelves?

4 1/2hours
3 0
3 years ago
A bag contains:
masya89 [10]

Answer: 2 out of 20=2/20 but simplified 1/10 for trying to get a green marble.

5 0
3 years ago
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