Answer:
y + 2 =
(x - 10)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 4 ← is in slope- intercept form
with slope m = ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
Here (a, b ) = (10, - 2 ) , then
y - (- 2) =
(x - 10) , that is
y + 2 =
(x - 10) ← in point- slope form
Using the concept of probability and the combination formula, it is found that there is a 0.4444 = 44.44% probability they get to be on the same team.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which the children are chosen is not important, which means that the combination formula is used to find the number of outcomes.
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<u>Combination formula:
</u>
is the number of different combinations of<u> x objects from a set of n elements</u>, given by the following formula.
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Finding the number of desired outcomes:
- Andy and Ollie on the same team, plus 3 children from a set of 8.
- Can be on either team, blue or red, so multiplied by 2.
![D = 2C_{8,3} = 2\frac{8!}{3!5!} = 112](https://tex.z-dn.net/?f=D%20%3D%202C_%7B8%2C3%7D%20%3D%202%5Cfrac%7B8%21%7D%7B3%215%21%7D%20%3D%20112)
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Finding the number of total outcomes:
- <u>5 children from a set of 10</u>, thus:
![T = C_{10,5} = \frac{10!}{5!5!} = 252](https://tex.z-dn.net/?f=T%20%3D%20C_%7B10%2C5%7D%20%3D%20%5Cfrac%7B10%21%7D%7B5%215%21%7D%20%3D%20252)
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The probability is:
![p = \frac{D}{T} = \frac{112}{252} = 0.4444](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B112%7D%7B252%7D%20%3D%200.4444)
0.4444 = 44.44% probability they get to be on the same team.
A similar problem is given at brainly.com/question/22931444
Answer:
R - 116 + 35 is your expression I am pretty sure
Answer: B
Step-by-step explanation:
n/56 = 4/28
Simplify:
n/56 = 1/7
Cross multiply:
7x = 56
7x/7 = 56/7
x = 8