A bag contains 26 tiles with letters A throughly Z. Find the probability of drawing two vowels with replacement. Find the probability of drawing two vowels without replacement. Round your answer to the nearest thousandth. Which is independent? Which event is dependent?

Answers

Answer 1

Answer: P(Vowel)=5/26
P(2 vowels with replacement)= (5/26)^2
= 25/676
=0.037
P(2 Vowels w/o replacement)=(5/26)(4/25)
=20/650
=0.031
The first event is independent
The second event is dependent

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A graduated cylinder with a radius of 3 cm contains water to a height of 9 cm. Yann adds 15 steel balls, each with a diameter of 3 cm. What is the total volume of the contents in the cylinder after the balls are added? Use 3.14 to approximate pi and express your answer in hundredths.

Answers

find volume
Vcylinder=hpir^2

volume of cylinder=(4/3)pir^3

water to height of 9
radis i3
V=9*pi*3^3
V=81pi

the balls
15 of them
diameter/2=radius
3/2=1.5
radous=1.5
15V=15(4/3)(pi)(1.5^3)
15V=20pi(3.375)
15V=67.5pi

addd tehm

81pi+67.5pi=148.5pi
aprox pi=3.14
148.5*3.14=466.29 cm^3

What is the median of the following set of numbers?16, 12, 18, 17, 13, 13, 12, 14, 15, 19
A.12
B.13.2
C.14.5
D.14.9

Answers

To find the median, we must order the numbers.

12,12,13,13,14,15,16,17,18,19

Now see which one is in the middle.

We are stuck between 14 and 15, so what is between those?
14.5 is between 14 and 15, so that is the median.

Answer: 14.5 is the median

What is the solution to 5x−2=13 ? Plot the solution on the number line.

Answers

Answer:

x= 3

Step-by-step explanation:

5x-2=13 - Add 2 to both sides which cancels out the -2 and turns 13 into 15

5x=15 - Divide 5 on both sides which cancels the 5 and leaves x=3

x=3 - Is the final answer or the solution to the problem

as part of her shop class, Jules made the figure below out of pieces of wood. how much spave does the figure she made take up?

Answers

I suppose you want to find the Volume of this Figure.

you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30

you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620

then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916

Therefore the Figure takes up 2916 cm^3 of space.

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