Answer:
Step-by-step explanation:
Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.
The probability of getting tails on a coin toss is: 
The probability of getting a number less than 3 (so 1 or 2) on a number cube is: 
Since we are combining these events, we need to multiply the fractions together to get our overall probability:
*=
Answer:
6x + 5y + 13 = 0.
Step-by-step explanation:
y = 5/6x + 7/6
Gradient = 5/6
Since the line is perpendicular to y = 5/6x + 7/6
then its gradient is -6/5.
Hence its equation is: point (-8,7).
y - 7 = -6/5(x -(-8))
multiplying through by 5 we get;
5y - 35 = -6(x + 8)
5y - 35 = -6x - 48
6x + 5y + 13 = 0
Answer:
I am assuming you are asking for what percent correct she got. She got 46% correct.
Step-by-step explanation:
You divide the answers correct by the total questions. She got 69 out of 150, so dividing that is .46
To turn a decimal into a percentage, just move the decimal two places to the right, thus getting 46 %
If I assumed what you were asking incorrectly, let me know and I'll be happy to help!
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
(x,y)
east is an increase in x
west is a decrease in x
north is an increase in y
south is a decrease in y
so
3 east (x+3)
1 block south (y-1)
6 blocks west (x-6)
5 blocks north (y+5)
so in total, x+3-6 and y-1+5
basically x-3 and y+4
minus 3 from and add 4 to y
(1,-2)
(1-3,-2+4)
(-2,2) is the dropoff point
