Solve this equation: x−4 = 13(6x−54)
2 answers:
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Answer:
The mean and standard deviation of the number of cars recovered after being stolen is 522 and 8.24 respectively.
Step-by-step explanation:
We are given that according to insurance records, a car with a certain protection system will be recovered 87% of the time.
Also, 600 stolen cars are randomly selected.
Let X = <u><em>Number of cars recovered after being stolen</em></u>
The above situation can be represented through binomial distribution;
where, n = number of trials = 600 cars
r = number of success
p = probability of success which in our question is the probability
that car with a certain protection system will be recovered,
i.e. p = 87%.
So, X ~ Binom(n = 600, p = 0.87)
Now, the mean of X, E(X) =
= = 522
Also, the standard deviation of X, S.D.(X) =
=
= 8.24
Answer:
Therefore after 1 second of lunched the object reach a height of 16 feet.
Step-by-step explanation:
When a particle is thrown vertically upward direction on that time only gravitation force is worked on it. In that case the acceleration of the particle is - g.Since gravitation force works downward direction and the displacement of the particle is upward direction that's why acceleration is negative.
When particle comes down the the acceleration of the particle is g.
Since the displacement and acceleration work on the particle in same direction.
The value of g is 9.8 m/s².
Given that, the height of the particle can measure from the equation
Where t is time in second
To find out the time when the object reach a height 16 feet. We have put the value of h in the given equation.
Putting h=16 in the given equation
16= -16 t²+32
⇒16t²-32t+16=0
⇒16(t²-2t+1)=0
⇒t²-2t+1=0² [ ∵16≠0]
⇒(t-1)²=0
⇒t-1=0
⇒t=1
Therefore after 1 second of lunched the object reach a height of 16 feet.