Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag.
5 black , 2 pink and 3 blue
As if two pink marbles are selected then
for one pink marble
probability = event occurred / total outcomes
= 2/10
Similar probability for an other pink marbles
Probability for the drawing two pink marbles is
P = 2/10 * 2/10
= 1/25
Answer:
correct
Step-by-step explanation:
Answer:
The equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have ![x_1=-6,y_1=-2, x_2=-3, y_2=2](https://tex.z-dn.net/?f=x_1%3D-6%2Cy_1%3D-2%2C%20x_2%3D-3%2C%20y_2%3D2)
Putting values and finding slope
![Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B2-%28-2%29%7D%7B-3-%28-6%29%7D%5C%5CSlope%3D%5Cfrac%7B2%2B2%7D%7B-3%2B6%7D%20%5C%5CSlope%3D%5Cfrac%7B4%7D%7B3%7D)
So, we get slope: ![m=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B3%7D)
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept
![y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C-2%3D%5Cfrac%7B4%7D%7B3%7D%28-6%29%2Bb%5C%5C-2%3D4%28-2%29%2Bb%5C%5C-2%3D-8%2Bb%5C%5Cb%3D-2%2B8%5C%5Cb%3D6)
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is
![y=mx+b\\y=\frac{4}{3}x+6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx%2B6)
Now transforming in fully reduced form:
![y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4x%2B6%2A3%7D%7B3%7D%20%5C%5Cy%3D%5Cfrac%7B4x%2B18%7D%7B3%7D%20%5C%5C3y%3D4x%2B18%5C%5C4x-3y%3D-18)
So, the equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)
45 - 2t < 32 ( where t is time and you can replace it with x or h if you prefer)
Solving for t you get:
45 - 2t - 32 < 0
45 - 32 < 2t
13 < 2t
13/2 < t
Or the temperature will drop below 32F after 6 and a half hours
Answer:
2
Step-by-step explanation:
4x+3=x+9
4x-x=9-3
3x=6
x=6/3
x=2