Hey there!
First, find the slope of the actual original pair of points.
The slope formula is:
So now, substitute the points in, whichever order you substitute the points into the equation doesn't matter, as long as the ones substituted in with the same subscript number.
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Once you subtract, you get:
So the slope is 11/10.
A line that is parallel to another has the exact same slope that that another line has.
So therefore the line that is
parallel has a slope of 11/10.
Perpendicular is another story. You take the reciprocal of the slope of the other line, and then change the sign before it: ex: negative would become positive.
So therefore the line that is
perpendicular has a slope of -10/11.
Answer:
h = s / π.r²
Step-by-step explanation:
the given equation is s = π.r².h
Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.
This only possible when we divide term on both the sides by π.r²
s/π.r² = π.r².h/π.r²
h = s / π.r²
Therefore h = s / π.r² is the right option.
Answer:
A cookie costs 1 dollar. A brownie costs 2 dollars.
Step-by-step explanation:
C = Cookie B = Brownie
Your two equations:
3c + 2b =7
5c + 4b = 13
Make both equations have an equivalent section:
2(3c + 2b = 7)
6c + 4b = 14
5c + 4b = 13
c = 1
To find B's value:
3c + 2b = 7
3 x 1 + 2b = 7
3 + 2b = 7
2b =4
b =2
Hope this helps.
Using the hypergeometric distribution, it is found that there is a 0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.
The students are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The <em>formula </em>is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There are 28 students in class, hence .
- Four people will be chosen at random, hence .
- The top three is composed by 3 people, hence .
The probability that this group of four students includes at least two of the top three geography students in the class is:
In which:
Then:
0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Answer:
Carrie's slope value is correct.
Step-by-step explanation:
The least square regression line is:
Here is the slope of the line.
The formula to compute the slope is:
Here = standard deviation of <em>x</em> and = standard deviation of <em>y</em>.
It is provided that the standard deviation of <em>x</em> and <em>y</em> are equal.
So the slope of the regression line is:
Thus, if the standard deviation of <em>x</em> and <em>y</em> are equal the slope of the line is same as the correlation coefficient.
The correlation coefficient is a measure used to determine the strength of the linear relationship between the variables.
It ranges from -1 to 1.
Carrie's slope value was 0.50 and Ryan's slope value was 2.
Since -1 ≤ r ≤ 1 the value of slope cannot be 2.
Thus, Ryan's slope value is incorrect.