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Marizza181 [45]
3 years ago
12

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?

Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
X) = 3 ln(x)

g(x=2) = 3 ln(2)
g(x=4) = 3 ln(4) = 3 ln(22) = 6 ln2

We have two ordered pairs:

(x,3 ln(2)) and (4,6 ln(2))

The average rate of change is the slope (m) of the secant line connecting the two points:

m = (6 ln2 - 3 ln2)/(4-2) = 3ln(2)/2 ≅ 1.04
natka813 [3]3 years ago
8 0

Answer:

The answer is 72.

Step-by-step explanation:

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The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o
Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

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 121 and standard deviation of 16.

This means that \mu = 121, \sigma = 16

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

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

Z = \frac{160 - 121}{16}

Z = 2.44

Z = 2.44 has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0
3 years ago
If two ounces of cheese has 200 calories, how many calories are in 5 ounces of cheese? please help!!
Vaselesa [24]

Answer:

500 calories

Step-by-step explanation:

2oz has 200cal

so 1z has 100cal

and 5x 100=500

5oz=500cal

8 0
3 years ago
Read 2 more answers
What are the 7 wonders of the world
umka21 [38]
<span>1. Great Pyramid of Giza.
2. Hanging Gardens of Babylon.
3. Statue of Zeus at Olympia.
4. Temple of Artemis.
5. Mausoleum at Halicarnassus.
6. Colossus of Rhodes.
<span>7.Lighthouse of Alexandria.

hope that i helped!</span></span>
4 0
4 years ago
What is the answer of 4 (5+6)-15
Blababa [14]
This answer is going to be 29
7 0
4 years ago
Read 2 more answers
I don’t understand this, someone help?
tekilochka [14]
From what I can see, it might be wanting you to find the distance of the lines connecting the 2 points. Use then distance formula to do that.
7 0
3 years ago
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