Answer:
1/4
Step-by-step explanation:
We can find the slope of a line given two points from the formula
m = (y2-y1)/(x2-x1)
= (-2--1)/(-12--8)
= (-2+1)/(-12+8)
=-1/-4
= 1/4
Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
Answer:
P(B|Y)=0.4
Step-by-step explanation:
We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y
And we are asked to find P(B|Y)
The formula for P(B|Y)= 
From Venn diagram, 
And P(Y)=
Hence P(B|Y)=
Since we’re trying to find minutes, concert all known information to minutes
1 hr 15 mins = 75 mins
1 hr 30 mins = 90 mins
Next, calculate how many total minutes Gage has skated in the first 8 days
75(5) + 90(3) = 645 mins
Create an equation to find the average of Gage’s minutes of skating. Add up all the minutes and divide by the total amount of days and set equal to 85, the average we are trying to get.
(645 mins + x mins)/9 days = 85
Solve for x
645 + x = 765
x = 120
So, in order to have an average of an 85 minute skate time, Gage would need to skate 120 minutes on the ninth day.
