Can someone please answer all parts?? Extra points for this one!

Mathematics

2 answers:

Ganezh [65]2 years ago

3 0

<span>a)
Acceleration of stone = 10

Integrate:
So velocity = 10t

Integrate again:
So distance from starting point = 5t^2

Distance from ground = 450-5t^2

b)
450 - 5t^2 = 0

9.48 seconds

c) velocity = 10t

Put the time into this to give:

94.8 m/s

d.

Velocity = 10t + 5

Integrate again:

5t^2 + 5t

Solve
5t^2 + 5t = 450

Gives 9 seconds</span>

Phoenix [80]2 years ago

3 0

The velocity is 0t, here's how I got this answer

To find Velocity you must do dv/dt, so in this case it would look like this:

DV/DT = -9.8 which also equals V = -9.8t + C so in this case the Velocity would be 0 because -9.8 - (-9.8) = 0

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2 years ago

There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

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.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

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

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

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2 years ago

PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes

grigory [225]

Answer:

Step-by-step explanation:

We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4$