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Setler [38]
2 years ago
12

A rock is thrown into the air from an initial height of 8 feet, with an upward velocity of 48 feet/second. The function h(t) = -

16t ^ 2 + 48t + 8 models the height h (in feet) after t seconds.
What is the maximum height reached by the rock?

When does the rock reach a maximum height? (answer with a fraction)

When does the rock hit the ground?
SAT
1 answer:
Vadim26 [7]2 years ago
6 0

Answer:

please look at the following picture:)

Explanation:

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In a study of helicopter usage and patient survival, among the 56,074 patients transported by helicopter, 235 of them
xxMikexx [17]

Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.

--------------------

  • The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given as:

C_{n,x} = \frac{n!}{x!(n-x)!}

--------------------

  • 56074 patients, thus N = 56074
  • Sample of 40, thus, n = 40
  • 235 left against medical advice, thus, k = 235.

The probability that none left against medical advice is P(X = 0), so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,56074,40,235) = \frac{C_{235,0}*C_{55839,40}}{C_{56074,40}} = 0.845

The probability is 0.845 = 84.5%.

A similar problem is given at brainly.com/question/24008577

6 0
3 years ago
What date is UCLA’s deadline for their regular applications for the 2019-2020 school year?
ikadub [295]

Answer:

you can submit them from November 1 to November 30 but they open at August 1

6 0
3 years ago
the human eye is able to detect as little as 2.35×10−18 j of green light of wavelength 510 nm. calculate the minimum number of p
Fantom [35]

The minimum number of photons of green light that can be detected by the human eye is 6.

Given that;

E = nhc/λ

E = energy of the photon = 2.35 * 10^-18 J

n = number of photons = ?

h = Planks constant = 6.6 * 10^-34 Js

c = speed of light = 3 * 10^8 m/s

λ = 510 * 10^-9 m

Making number of photons the subject of the formula;

n =2.35 * 10^-18 *  510 * 10^-9 / 6.6 * 10^-34 * 3 * 10^8

n = 6 photons

Learn more: brainly.com/question/9260704

8 0
2 years ago
Which of the following is the correct definition for the acronym FITT
Vitek1552 [10]
For exercise?
Frequency, Intensity, Time, Type.
4 0
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Adam and paul can achieve the sales target of the company in 30 days.
Harlamova29_29 [7]

It should be noted that the number of days that will be taken to complete the sales target will be 27 days.

<h3>How to compute the sales target</h3>

From the complete information, the following can be deduced:

a + b = 1/30

b + c = 1/40

a + c = 1/60

Using the rules of algebra, b = 5/240, a = 3/240.

a + c = 1/60

3/240 + c = 1/60

c = 1/60 - 3/240

c = 1/240

Therefore, the 3 can do 9/240 in a day. The number of days required will be:

= 240/9 = 27 days

Learn more about sales target on:

brainly.com/question/715432

6 0
3 years ago
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