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dmitriy555 [2]
3 years ago
6

The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
Note:
If fx(x) changes from f(x₁) to f(x₂), the rate of change is
Rate = [f(x₂) - f(x₁)]/(x₂ - x₁)

From the table, we can compute rates of change as follows:
Change in x  Change in f(x)   Change in x    Rate
-----------------   --------------------   -----------------  ---------
    [-4,-2]          0 - (-12) = 12      0 - (-2) = 2        6
    [-2, 1]           3 - 0 = 3            1 - (-2) = 3         1
    [-3, 1]           3 - (-5) = 8         1 - (-3) = 4         2
    [-4, 0]          4 - (-12) = 16      0 - (-4) = 4        4


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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

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

By the Central Limit Theorem

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

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0
3 years ago
Drag each title to the correct box. Not all tiles will be used
mestny [16]

Answer:

4, 1, 6.

See explanation

Step-by-step explanation:

You are given the equation

d=vt-\dfrac{1}{2}at^2

First subtract vt from both sides:

d-vt--\dfrac{1}{2}at^2

and multiply the equation by -1:

vt-d=\dfrac{1}{2}at^2\ \ \ \ (1)

Now multiply (1) by 2:

2(vt-d)=at^2\ \ \ \ \ (2)

At last, divide by a

t^2=\dfrac{2(vt-d)}{a}\ \ \ \ \ (3)

5 0
3 years ago
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Karolina [17]

Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to \pi * d, we can backtrack and use this equation to find diameter. Let's say \pi is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d


The diameter of the circle is 9.


6 0
3 years ago
WHAT IS THE CORRECT VOCAB TERM FOR THE FOLLOWING DEFINITION:
yawa3891 [41]
I    believe the term would be radicand
4 0
3 years ago
Read 2 more answers
Please answer this correctly
OlgaM077 [116]

Answer:

$21.57

Step-by-step explanation:

4.5 (1.22) + 0.8 (1.70) + 4.6 (3.20) =

5.49 + 1.36 + 14.72

21.57

4 0
3 years ago
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