Answer:
Step-by-step explanation:
<em>Let P(W) represents the probability that Paul wins</em>
<em>Let P(W') represents the probability that Paul does not win</em>
Given
Required
In probability, the sum of opposite probability equals 1;
This implies that
Substitute in the above equation
becomes
Subtract 
from both sides
Solve fraction (start by taking the LCM)
Hence, the probability that Paul doesn't win is
11) 2x+6y-3; x=5,y=4
the question is asking to evaluate for y when x=5 and evaluate for x when y=4,
2x+6y-3
2x+6y=3
2(5)+6y=3
10+6y=3
6y=3-10
y=-7/6 when x=5
2x+6(4)=3
2x+24=3
2x=3-24
x=-21/2 when y=4
12)
Input Output
N 4(n+3)
12 4(12+3) = 4(15)=60
14 4(14+3)=4(17)=68
18 4(18+3)=4(21)=84
25 4(25+3)=4(28)=112
13)8x+y-10; x=4, y=50
8x+y=10
8(4)+y=10
32+y=10
y=10-32
y=-22 when x=4
8x+50=10
8x=10-50
8x=-40
x=-40/8
×=-5/1=-5 when y=50
14) b is correct
15)c is correct
16) c is correct
If you need explanations on these questions, message me.
Answer:
the number of sponges per package bought be 32.5
Step-by-step explanation:
Let us assume the number of sponges per package be x
So the number of packages he bought be x - 14
And, the overall he bought 51 sponges
So
the number of packages of sponges did roger buy is
x + x - 14 = 51
2x = 51 + 14
2x = 65
x = 32.5
So the number of sponges per package bought be 32.5
Answer:
Total tax deduction per paycheck:
= Weekly pay * FICA tax rate.
Weekly pay $198.00:
= 198 * 7.65%
= 15.147
= $15.15
Weekly pay $340.00:
= 340 * 7.65%
= $26.01
Weekly pay $250.00:
= 250 * 7.65%
= 19.125
= $19.13
Answer:
3.7777777777 or you could round it to 3.8
Step-by-step explanation:
