Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

worty [1.4K]

Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8 and n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.$

Now, the probability of pulling three green marbles out with replacement is given by

$P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.$

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0

3 years ago

If u do 3 I’ll mark Brainlynest u don’t have to do 3 it depends but also 14 points

Helen [10]

Answer:

Step-by-step explanation:

A(-5,-2),B(-2,-2), C(-5,2)

find distance first:d=√(x2-x1)^2+(y^2-y1^2)

AB: 3

BC: 5

AC: 4

perimeter of triangle=3+5+4=12

compliment angle=90

90+34=124

5x+17+x+19=180

x=24

4 0

4 years ago

(a) Joe runs 12 miles in 84 minutes.

Brilliant_brown [7]

Step-by-step explanation:

We want to find how many miles per minute Joe runs. This means, we need to simplify the equation:

$\frac{12 mi}{84 min}$

so that the number on the bottom is 1. How do we do that?

Simple.

Just divide 12 / 84

Answer:

Joe runs approx. 0.143 miles per minute.

3 0

3 years ago

megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $

USPshnik [31]

Answer:

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = $\frac{11}{12}$ year

The amount received = $2138.50

Now<u>, From Simple Interest method </u>

Simple Interest = $\dfrac{\textrm Principal\times \textrm rate\times \textrm time}{100}$

Or, Interest = $\dfrac{2100\times r\times \frac{11}{12}}{100}$

Or, Interest = $\frac{21\times r\times 11}{12}$

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r = $\frac{38.5}{19.25}$

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

8 0

3 years ago

1. You spend $18 on breakfast and tax is 7%. Wha is your total?

KIM [24]

Answer:

the answer is $20.33 I hoñe it helps

7 0

3 years ago