I believe the correct answer is D.
Answer:
Step-by-step explanation:
Total number of marbles = 5 + 2 + 3 = 10
Probability of choosing 1 green marble = 2/10
Probability of choosing 1 yellow marble = 3/10
Notice (and this is important) that the denominator didn't change. Why?
Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.
So what is the probability of P(green then yellow)?
P(green then yellow) = 3/10 * 2/10 = 6/100
Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.
$30.50-$17.79 is $12.71. I hope that helps you :)
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
Given:
The function is:
The graphs of functions 
and 
.
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function . So, the function is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting 
and 
in the above function, we get
Putting 
in (i), we get
Therefore, the correct option is D.
