Answer:
The slope is 3/2.
Step-by-step explanation:
The slope of a line is the relationship between the change of the y-variable and the change of the x-variable. It can be denoted as m = (y2-y1)/(x2-x1), and in layman's terms, it is known as rise over run.
You always can obtain the slope of a line with two points. From this line, for example, I can tell that points (0, 20) and (20, 50) are on the line.
To find the slope of the line, we must first find out what x1, x2, y1, and y2 are. x1 and y1 are the x- and y- coordinates of the first point, and x2 and y2 are the x- and y-coordinates of the second point. With this, we now know that x1 = 0, y1 = 20, x2 = 20, and y2 = 50. We now subsitute this into the formula.
m = (y2-y1)/(x2-x1)
m = (50 - 20)/(20 - 0)
m = (30)/(20)
m = 3/2
Now we know that the slope of the line is 3/2.
<h3>
Answer: Approximately 2.1667</h3>
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Explanation:
First we need to find the arithmetic mean.
Add up the values to get 3+8+6+9+2+5 = 33
Divide this over 6 because there are 6 values: 33/6 = 5.5
The mean is 5.5
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Subtract the mean from each data value. Apply absolute value to ensure the result is not negative.
- |3 - 5.5| = |-2.5| = 2.5
- |8 - 5.5| = |2.5| = 2.5
- |6 - 5.5| = |0.5| = 0.5
- |9 - 5.5| = |3.5| = 3.5
- |2 - 5.5| = |-3.5| = 3.5
- |5 - 5.5| = |-0.5| = 0.5
Each result represents how far that specific data value is from the mean. Absolute value is used to find distance on a number line.
Add up each of those results to get: 2.5+2.5+0.5+3.5+3.5+0.5 = 13
Then divide by 6 to find the average: 13/6 = 2.1667 which is approximate
The mean absolute deviation represents the average distance any given value is from the mean. The term "deviation" refers to how far each data value is from the mean, which is the center point we're after more or less.
The MAD (mean absolute deviation) effectively measures how spread out the data set is. The larger the MAD, the more spread out the data is likely to be. The range, standard deviation and variance are also measures of spread.
Answer:
H And G I think
Step-by-step explanation:
I think this because C and F...
To obtain the probability of obtaining heads at least 3 times out of 5 times we recall that in her simulation <span>she
assigned odd digits to represent heads and even digits to represent
tails. Thus, we count the simulated numbers to see in how many numbers
do we have 3 or more odd digits.
Below, the simulated numbers with 3 or more odd digits are bolded.
</span> <span>32766 53855 34591 27732
47406 31022 25144 72662
03087 35521 26658 81704
56212 72345 44019 <span>65311
</span>
We have 6 simulated numbers having 3 or more odd digits.
Therefore, </span><span>P("heads" at least 3 out of 5 times) = 6 / 16 = 3 / 8.</span>
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
x = 5 - 4
x = 1
And you have your final answers!
