The probability of selecting two orange marbles with replacement is 36/169.
Data;
- Orange= 6
- Red = 2
- Green = 4
<h3>Probability with replacement</h3>
Since after each draw, the orange marble is replaced.
The total number of marbles in the bag is
6+3+4 = 13
And the number of orange marbles is 6.
For the first selection, the probability of selecting one orange is

After drawn and replaced, the probability of selecting another marble is

And the probability of selecting two orange marbles with replacement is

The probability of selecting two orange marbles with replacement is 36/169.
Learn more on probability here;
brainly.com/question/24756209
We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply
1/12 divided by 1/6 = 1/12 * 6/1
-------
From here we multiply straight across.
The numerators multiply to get 1*6 = 6
The denominators multiply to 12*1 = 12
We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6
<h3>Final Answer: 1/2</h3>
Answer:
Step-by-step explanation:
Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that
1 gallon of gas would be used to drive 392/14 = 28 miles
a) The number of miles traveled varies directly with the number of gallons of gas used.
Let x =number of gallons of gas you use.
Let y = the number of miles travelled.
Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,
y = kx
If 28 miles will require 1 gallon of gas, it means
28 = 1×k
k = 28
So y = 28x
b) we want to determine how far you can drive with 3.7 gallons of gas.
x = 3.7
y = 28x = 28×3.7
y = 103.6 miles
Answer:
-1/16
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
1 to any power is 1, so you can ignore all of the 'a' factors. That leaves ...
1/(2b^3) = 1/(2(-2)^3) = 1/(2(-8)) = -1/16
___
A calculator can help you figure this out.
X=y+z
subtract y from both sides
-y+x=z that is your answer