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3 years ago

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

Mathematics

2 answers:

Tasya [4]3 years ago

5 0

Answer:

Use the slope formula to find the average rate of change:

m =y

−

(

)

−

(

)

−

To simplify this, we need to find values of

(

)

and

(

)

(

)

(

)

(

)

162

(

)

(

)

(

)

162

−

144

Step-by-step explanation:

Vikki [24]3 years ago

3 0

Hope it is useful!!!

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3x-5y=12 <br>solve for Y

ladessa [460]

Answer:

y=12/5−3x/5

Step-by-step explanation:

might be wrong

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3 years ago

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Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

5 0

3 years ago

ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points

kompoz [17]

Answer:

a. 0.1587

b. 0.8849

c. 0.1814

Step-by-step explanation:

a. Given that $\mu=28, \ \ \sigma=2.4$

-The probability a randomly selected score is greater than 30.4 is calculated as:

$P(X>30.4)=1-P(X30.4)=1-P(z$

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that $\mu=28, \ \ \ \sigma=2.4$

The probability a randomly selected score is less than 32.8 is calculated as:

$P(X$

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

$P(25.6$

Hence, the probability is 0.1814

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3 years ago

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Sonbull [250]

The answer to ur question would be: 18in cubed
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3 years ago

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-18-6k=6(1+3k) <br> how do I find k

Brut [27]

Answer:

k=-1

Step-by-step explanation:

-18-6k=6(1+3k)

-18-6k=6+18k

+6k +6k

-18=6+24k

-6 -6

-24=24k

/24 /24

k=-1

8 0

3 years ago

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