Answer: 15.7 minutes
Step-by-step explanation:
Let x be the time in the beginning (in minutes).
Given: The track team is trying to reduce their time for a relay race.
First they reduce their time by 
2.1 minutes.
Then they are able to reduce that time by 
10
If their final time is 3.96 minutes, then
Hence, their beginning time was 15.7 minutes.
Answer:
12a^9b^7
Step-by-step explanation:
Multiplying variables of the same base, will require you to add the exponents.
4a^3b^2 * 3a^6b^5
4*3 = 12
a^3 * a^6 = a^9
b^2 * b^5 = b^7
12a^9b^7
Answer: B.
Step-by-step explanation: TVM Solver Equation:
N = 216 (12 x 18 years)
I% = 3.5
PV = 0
PMT = - $350
FV = 105,106.7593
P / Y = 12 (months)
C / Y = 12
PMT: END
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
Answer: 30 - 5 = 25 (the difference between the two is 5)
