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Harrizon [31]
3 years ago
6

WILL CROWN BRAINLIEST, 5/5 RATING, AND LIKE!

Mathematics
2 answers:
Genrish500 [490]3 years ago
4 0

Hey there!

If we have two white marbles and seven purple marbles, our first probability is out of nine.

First of all, we have the probability of selecting a purple marble, 7/9.

Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.

We multiply these probabilities together to get our answer to a.

7/9(1/4)= 7/36

a. 7/36

Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.

b. 1/36

Now, let's calculate selecting two purple to help us with C.

We have 7/9, and then 6/8, or 3/4.

7/9(3/4)= 7/12

Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.

I hope this helps!

Rzqust [24]3 years ago
4 0

Answer:

A. 7:9 B. 1:4 C. Purple

Step-by-step explanation:

A. Because there are 7:9 B. Because 1:4 C. Because Purple has more

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Y = 1/(2X+6)

Step-by-step explanation:

First, you swap X and Y, getting

X = 1/2Y - 3

Then you have to isolate Y again

X + 3 = 1/2Y -> 2Y = 1/(X+3)

Y = 1/(2X+6)

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3 years ago
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Leilani is a member of her schools for person 1600 Meter relay team in each really Lelani runs 1/4 of the 1600 meter relay team
taurus [48]

Answer:

She ran a total distance of 8,800m or 8.8km

Step-by-step explanation:

In this question, we are asked to calculate the total distance ran by Leilani if at each meet she runs a distance that is exactly equal to a quarter of the total and she competed 22 times during the year.

Firstly, we proceed to calculate the the distance she runs at each relay for her team. We were told she runs a distance equivalent to a quarter.

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Now, we are told that she ran at 22 different track meets last year. So the total distance she ran will be 22 * 400 = 8,800m or 8.8km

6 0
3 years ago
Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to t
jeka94

Answer:

(a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}

(c)P(10)\approx 272

(ii)P(1000)\approx 26.88 \times 10^{44}\\

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)

(b)

\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C  $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

100=Ce^{kX0}

C=100

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P(t)=100e^{0.1t}

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