Answer:
51 % batting percentage
Step-by-step explanation:
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
Answer:
I believe it's going to be C) rectangle.
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
<u>Given function</u>
The points (-1, 1/6) and (1, 2/3) lie on the graph
<u>Substitute the values of x and y to get the system of equations:</u>
- 1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
- 2/3 = c*a^1 ⇒ 2/3 = ac
<u>Substitute a and solve for c:</u>
- 2/3 = 6c*c
- 1/9 = c²
- c = √1/9
- c = 1/3
<u>Find a:</u>
<u>The equation of the function:</u>
