A little more info please?
The <em><u>correct answer</u></em> is:
h(t) = –16t² + 50t + 3
Explanation:
The general form of an equation such as this is h(t) = at² + v₀t + h₀, where a is the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.
We are given that the constant due to gravity is -16.
The initial velocity is 50, and the initial height is 3; this gives us the equation
h(t) = -16t² + 50t + 3
Answer:
Step-by-step explanation:
Berto’s train was 34 miles past the egg farm .
Eduardo’s train had 12 miles to go before it reached the egg farm.
Distance between two trains = 34 + 12 = 46 miles
This distance has to be reduced to zero for their crossing each other .
Rate at which this distance is reduced = their relative velocity
= 110 - 85
= 25 miles / h [ They are moving in the same direction ]
So, time taken for them to meet each other
= 46 / relative velocity
= 46 / 25
= 1.84 hours .
Answer:
Step-by-step explanation:
a) We would use the formula for exponential growth model which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 5655
r = 1.4% = 1.4/100 = 0.014
Therefore, the equation would be
y = 5655(1 + 0.014)^t
y = 5655(1.014)^t
b) in 2022, t = 2022 - 2010 = 12 years
y = 5655(1.014)^12
y = 6682
Answer:
a) 0.7403
b)0.0498
c)0.2240
Step-by-step explanation:
Given: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution
We know that to calculate expected number of flaws use
expected number of flaws =10×0.03 =0.3
a) probability that there are no surface flaws in an auto's interior =P(X=0)=
e^-0.3 =0.7408
b) probability that none of the 10 cars has any surface flaws =(e^-0.3)^10 =0.0498
c) probability that at most one car has any surface flaws =P(X<=1)=P(X=0)+P(X=1)
this means
=10C_0(1-0.7408)^0(0.7408)^10+10C_1(1-0.7408)^1(0.7408)^9=0.2240
