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SCORPION-xisa [38]
2 years ago
14

Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function. a. (2.5,5)

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
7 0

Answer:

a. (2.5,5)

Step-by-step explanation:

f(x) exponential function exceed quadratic function g(x) at (2.5 , 5)

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T
USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

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 question:

\mu = 73, \sigma = 10.6

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

-1.645 = \frac{X - 73}{10.6}

X - 73 = -1.645*10.6

X = 55.6

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0
2 years ago
A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the
Contact [7]
Answer
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explanation
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4 0
2 years ago
A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the Un
masha68 [24]

Answer: We are given:

\mu=247,\sigma=60

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

z=\frac{x-\mu}{\sigma}

When x = 197, the z score is:

z=\frac{197-247}{60}

        =\frac{-50}{60}

        =-0.83

When x = 277, the z score is:

z=\frac{277-247}{60}

        =\frac{30}{60}

        =0.5

When x = 310, the z score is:

z=\frac{310-247}{60}

        =\frac{63}{60}

        =1.05

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively


8 0
2 years ago
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A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
fredd [130]
The answer is B. 3 feet
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2 years ago
A company has five warehouses, only two of which have a particular product in stock. A salesperson calls the five warehouses in
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Answer: Check the attached

Step-by-step explanation:

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