Answer:
1 to 5
Step-by-step explanation:
3+5=8
8/20 =.4
.4 goes to 40% bc you move the decimal over twice
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
24.) y = mx + b
slope(m) = 0.25
(0,4)...x = 0 and y = 4
now we sub and find b, the y int
4 = 0.25(0) + b
4 = b
so ur equation is : y = 0.25x + 4
26.) y = mx + b
slope(m) = 3/2
(-5,1)....x = -5 and y = 1
sub and find b, the y int
1 = 3/2(-5) + b
1 = - 15/2 + b
1 + 15/2 = b
2/2 + 15/2 = b
17/2 = b
ur equation is : y = 3/2x + 17/2
28.) y = mx + b
slope(m) = 4
(0,0)...x = 0 and y = 0
time to sub
0 - 4(0) + b
0 = b
so ur equation is : y = 4x + 0.....or just y = 4x
30.) (7,1)(7,8)....notice how the x's are the exact same number....this
means that ur line is a vertical line with a slope that is undefined.
ur equation is : x = 7
32.) (-2,-3)(0,0)
slope = (0 - (-3) / (0 - (-2) = (0 + 3) /(0 + 2) = 3/2
y = mx + b
slope(m) = 3/2
(0,0)...x = 0 and y = 0
sub
0 = 3/2(0) + b
0 = b
ur equation is : y = 3/2x + 0 or just y = 3/2x
34.) (1/3,0)(0,-1/4)
slope = (-1/4 - 0) / (0 - 1/3) = (-1/4)/(-1/3) = -1/4 * -3 = 3/4
y = mx + b
slope(m) = 3/4
(0,-1/4)...x = 0 and y = -1/4
sub
-1/4 = 3/4(0) + b
-1/4 = b
so ur equation is : y = 3/4x - 1/4
Answer:
49
Step-by-step explanation:
3x+10+6x-20+x+60=10x+50
10x+50=180
10x=130
x=13
A=3*13+10=49
