Your answer should be x < 0 or x > 4.
<em>I'm 3 Brainliests away from ranking up, so one would be much appreciated. Thank you, and good luck!</em>
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
Y intercept is (0,-7). slope is 2.
Change the function to y=mx+b format first. m=slope and plug in 0 as x to get y intercept.
Answer:
<u>Option A. about 1 seconds</u>
Step-by-step explanation:
Let the initial speed u and the final speed v
Time t , distance s and acceleration of gravity g
The equation of motion are:
v = u + gt ⇒(1)
s = ut + 0.5 gt² ⇒(2)
v² = u² + 2gs ⇒(3)
Marques drops a plate from a height of 5 feet.
So, u = 0 , s = 5 ft , g = 9.8 m/sec²
Substitute at (2)
s = ut + 0.5 gt²
5 = 0 * t + 0.5 * 10 * t²
∴ t² = 5/(0.5*9.8) = 1.02
∴ t = √1.02 = 1.01 seconds ≈ 1 seconds (to the nearest integer)
<u>The answer is option A. about 1 seconds</u>
