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bekas [8.4K]
3 years ago
8

The height, h, of an object that is thrown upwards into the air can be represented as h = 0.5at2 + v0t + h0, where a represents

the acceleration due to gravity (– 32 ft/s)
2), v0 represents the initial velocity, in feet per second, h0 represents the initial height of the object, in feet, and t represents time, in seconds.

Part A:
A ball thrown upwards from the top of a 64–ft high building with an initial velocity of 48
ft/s.Write an equation that could be used to determine the time, t, in seconds, for the ball to reach the ground. Assume ground level is at a height of 0 ft.

Part B:
Determine the time, t, in seconds, that takes the ball to reach the ground and explain how you determined your answer.
Mathematics
1 answer:
wel3 years ago
5 0

Answer:

ok so  this awnser is v7a

Step-by-step explanation:

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Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
Solve using substitution y=x-3 4x+y=32
hichkok12 [17]
Hey there !

Check the attachment.
Hope it helps you :)

7 0
3 years ago
D is the midpoint of RJ⎯⎯⎯⎯. R has coordinates (−4,7), and D has coordinates (2,−1). Identify the coordinates of J.
Aleksandr [31]

Answer:

(8,-9)

Step-by-step explanation:

If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.

Side note/Extra information:

The line would be y=\frac{-4}{3} x+\frac{5}{3}

3 0
3 years ago
HELP!!! I NEED HELP ON MY EXAM. (15PTS)
Olegator [25]

Answer:

its A

Step-by-step explanation:

4 0
3 years ago
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then sel
borishaifa [10]

Answer:

Pr = \frac{1}{870}

Step-by-step explanation:

Given

n =30

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

Pr = \frac{1}{n} * \frac{1}{n - 1}

Substitute n =30

Pr = \frac{1}{30} * \frac{1}{30- 1}

Pr = \frac{1}{30} * \frac{1}{29}

Pr = \frac{1}{30*29}

Pr = \frac{1}{870}

5 0
3 years ago
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