3(4+3)^2=3(7)^2 3(49)=147
Answer:
2/45
Step-by-step explanation:
Note this selection is done without replacement hence after each selection sample size will reduce
Given data
Samples 3 chocolate chip bars,
2 peanut butter bars,
1 lemon bar, and
4 raisin bars
Sample size S= [3+2+1+4]= 10
Probability that first selection is lemon = 1/10
Probability that second selection is raisin = 4/9
Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9
= 4/90= 2/45
Answer:
Step-by-step explanation:
let x be part at 8%, y be part at 10% and z be part at 15%
(1) x+y+z=6300
the amount of money invested at 15% was $100 more than the amounts invested at 8% and 10% combined. so
(2) z=x+y+100
The total annual income from these investments was $766. so
0.08x+0.1y+0.15z=766 or
(3) 8x+10y+15z=76600
substitute (2) into (1)
x+y+x+y+100=6300
(4) 2x+2y=6200
substitute (2) inot (3)
8x+10y+15(x+y+100)=76600
(5) 23x+25y=75100
solving (4) n (5)
x=1200
y=1900
z=1200+1900+100=3200
Answer:
x = 3.5
y = 11.75
Step-by-step explanation:
-9x - 2y = -55
6x - 4y = -26
Step 1:
-2(-9x - 2y = -55) → 18x + 4y = 110
Step 2:
18x + 4y = 110
<u> 6x - 4y = -26</u>
<u> 24x </u>= <u>84</u>
24 24
x = 3.5
Step 3:
6(3.5) - 4y = -26
21 - 4y = -26
<u> -21 -21 </u>
<u> -4y </u>=<u> -47</u>
-4 -4
y = 11.75