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3 years ago

What is the slope of the straight line through points (-2,4) and (5,-1) ?

1 answer:

3 0

The slope can be calculated by subtracting the y values (the rises) and dividing the difference by the difference between the x values (the runs) to get rise over run. -1-4= -5 (differences in y's) & 5-(-2)= 7 (the differences in the x's). now divide the difference in the y' by the difference in the x's to get m= -5/7.

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Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32,

miskamm [114]

The mean deviation of the ratings is 4.12

Explanation

The ratings of the ten experts are: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40

So, the mean of all ratings $=\frac{34+35+41+28+26+29+32+36+38+40}{10}= \frac{339}{10}=33.9$

The formula for Mean deviation $= \sum \frac{|x_{i}- \mu|}{N}$ , where $x_{i}$ is the given data from $i=1$ to $i=10$ , $\mu$ is the mean of the data and $N$ is the total number of data. So.....

$|x_{1}-\mu |= |34-33.9|=0.1\\ |x_{2}-\mu|=|35-33.9|=1.1\\ |x_{3}-\mu |=|41-33.9|=7.1\\ |x_{4}-\mu |=|28-33.9|=5.9\\ |x_{5}-\mu |=|26-33.9|=7.9\\ |x_{6}-\mu |=|29-33.9|=4.9\\|x_{7}-\mu |=|32-33.9|=1.9\\ |x_{8}-\mu |=|36-33.9|=2.1\\ |x_{9}-\mu |=|38-33.9|=4.1\\ |x_{10}-\mu |=|40-33.9|=6.1$

So, the Mean deviation $=\sum \frac{|x_{i}-\mu |}{N}=\frac{0.1+1.1+7.1+5.9+7.9+4.9+1.9+2.1+4.1+6.1}{10} = \frac{41.2}{10}=4.12$

4 0

3 years ago

(Which is the simplified form of the expression ? 3(7/5x+4)-2(3/2-5/4x)

Illusion [34]

Answer:

let's see what to do buddy....

Step-by-step explanation:

$3( \frac{7}{5}x + 4) - 2( \frac{3}{2} - \frac{5}{4}x) \\ \\ = \frac{21}{5}x + 12 - 3 + \frac{5}{2}x \\ \\ = \frac{(21 \times 2) + (5 \times 5)}{10} x + 9 = \\ \\ \frac{42 + 25}{10} x + 9 = \frac{67}{10}x + 9 = 6.7x + 9$

5 0

2 years ago

winthrop Middle School had enrollment of 1,342 and a total of 215 teachers. what was the student teacher ratio for this School w

eimsori [14]

Teachers= 215
Students= 1,342

Student: Techer
= 1,342: 215
= 62.1:1
= $\frac{62.1}{1}$

3 0

3 years ago

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A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone u

barxatty [35]

Answer:

Step-by-step explanation:

B1 represents the slope of the population regression line so A is the answer

6 0

3 years ago

There is a Saturday performance at a local theater. A theater charges $9 for an adult ticket and $4 for a child ticket. All 1020

Whitepunk [10]

Let x tickets sold be adults, then (1024-x) were of childrens tickets, 9x+(1024-x)4 = 7680. The above equation is for total money solve it you will get x=720 hence, number of adult tickets were 720 and number of child tickets were 300 :)

5 0

3 years ago

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