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Mathematics

2 answers:

Sloan [31]2 years ago

6 0

Answer:

Step-by-step explanation:

gulaghasi [49]2 years ago

4 0

Rate of change for the given function is 15.

Solution:

Rate of change of function is same as the slope of the function.

The function values are given in the table.

To find the rate of change of the function:

Take the any 2 points from the table over the interval 2 ≤ x ≤ 6.

Let the points be (2, 7) and (6, 67).

$x_1=2,y_1=7, x_2=6, y_2=67$

Slope formula:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{67-7}{6-2}$

$$m=\frac{60}{4}$

m = 15

Rate of change for the given function is 15.

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Diane's Tree Trimming Service has trimmed hundreds of trees in the Greater Denver area. The time it takes to trim a tree is norm

kkurt [141]

Answer: $P(28.5$ And we can find this probability with this difference:

$P(-0.7$

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

$P(-0.7$

So then the best answer would be 21.82 %

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time it takes to trim a tree of a population, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$