Annie randomly chooses a large shirt. What is the probability that the shirt is red, given that it is large? Show your work. Express your answer as a percent rounded to the nearest tenth.

4.54%

Step-by-step explanation:

Prob (Large) = Large shirts / Total Shirts = (50 + 5 + 55) / 400 = 110/200

Prob (Red & Large) = 5/200

Prob (Red & Large, given Large) = P (Red & Large) / P (Large)

= ( 5/200) / (110/200)

= 5/110 = 0.04545

= 4.54%

Hey there! I'm happy to help!

This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).

Our radius is 3cm.

3

We square it.

3²=9

Multiply by 3.14.

9×3.14=28.26

Now that we have our circle base area, we multiply it by the height (7 cm).

28.26×7= 197.82

This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.

197.82/2=98.91

We can also multiply our circle base by 3.5, which will give us half of the full height.

So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.

Have a wonderful day and keep on learning! :D