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Nookie1986 [14]
2 years ago
8

Use the table below to answer this question:

Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

m=\dfrac{3-(-3)}{2-(-1)}

m=\dfrac{3+3}{2+1}

m=\dfrac{6}{3}

m=2

Therefore, the correct option is D.

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A painting crew reported that a job is 3/5 completed what is the fraction of the job remains to be done
HACTEHA [7]

Hi!

<h3>So we need to subtract 3/5 from a whole fraction. (5/5)</h3>

\frac{5}{5}-\frac{3}{5}=-\frac{2}{5}

<h2>The answer is 2/5</h2>

Hope this helps! :)

-Peredhel

5 0
2 years ago
4. The data shows the number of siblings each student in a 9th-grade class has.
antiseptic1488 [7]

Answer:

The correct option is Mean and standard deviation.

Step-by-step explanation:

The data set provided, arranged in ascending order is:

S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}

Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When  she returned, they found out she actually has 9 siblings.

So, the new data set is:

X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}

The mean of a data set is the average value representing the entire data.

\bar X=\frac{1}{n}\sum X_{i}

The median is the middle value of the data set.

The inter-quartile range is the difference between the first and the third quartile.

The standard deviation is the value that represents how dispersed the data values are.

SD=\sqrt{\frac{1}{n}\sum (X_{i}-\bar X)^{2}}

From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.

So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.

Thus, the correct option is Mean and standard deviation.

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2 years ago
Name three common measurements that are expressed as a ratio of two units.
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6 0
2 years ago
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Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T
olya-2409 [2.1K]

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  \frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}

= \frac{556.2}{10}

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = \frac{n}{2}th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

5 0
2 years ago
Read 2 more answers
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