The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.
5x + 15 = 115
5x = 100
x = 20
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6
Only 4,52 would be on the graph.
If she stated at week 0 with 32 dollars it would be:
0, 32
1, 37
2, 42
3, 47
4, 52
5, 57
6, 62
7, 67
and so on.
500.000 + 0.500 + 0.070 + 0.009
