First simplify like terms (things with the same letter):
3g + 7g + 8 = -10 + g
10g + 8 = -10 + g
Next we should take g off both sides:
9g + 8 = -10
Next isolate 9g by taking 8 off both sides:
9g = -18
Next divide both sides by 9 to find the value of g:
g = -2
If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y
y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =
We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)
However, if the sample space is continuous, it will be simply p(x<y)=1/2.
Answer:
D 20 *1.10 * 1.05
Step-by-step explanation:
We have 19.8 tons of wheat. That is close to 20 tons
We increase by 9.8 percent. 9.8% is close to 10%
When we increase, that is 100% of what we had plus the increase, so we multiply by 100 +10% or 110%. In decimal form that is 1.1
20 *1.10
Then the next year we increase by 5.1%. That is close to 5%
We have 100% plus the 5% or 105%, which in decimal form is 1.05
We multiply what we had (20 *1.10) by 1.05
20 *1.10 * 1.05
This is the total amount we have
Answer:
i'm not sure but i think the answer is D
Step-by-step explanation:
the answer will be either A or D because the shape of the graph shows that the value of a is negative
Answer:
C) No, their slopes are not opposite reciprocals.
Step-by-step explanation:
First we find the slopes.
slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4
slope of RS = (-3 - 1)/(6 - 3) = -4/3
product of the slopes = (-3/4) * (-4/3) = 1
The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.
