There are 52 titled chapters in this book. Is there a sure possibility that some chapters start with the same a) letter b) word?​

Answers

Answer 1
Answer:

Answer:

there is sure probability to that some chapters will start with the same letter. There is no sure probability that some chapters will start with same word

Step-by-step explanation:

there are 26 letters in the English alphabet

probability that one letter will start a chapter

is 1/26.

Number of pages=52

1/26×52=2

Answer 2
Answer:

Answer:

there are 26 letters in the English alphabet

probability that one letter will start a chapter

is 1/26.

Number of pages=52

1/26×52=2

Step-by-step explanation:


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a sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere

Answers

Volume of the region inside the cube but outside the sphere is 102.903 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a cube.

Volume of a cube = a³

Here a is the side length of a cube.

Here side length of the cube = 6 inches

Volume of the cube = 6³ = 216 inches³

Volume of a sphere = (4)/(3) π r³

Here diameter of the sphere = 6 inches

Radius of the sphere = 6/2 = 3 inches

Volume of sphere = (4)/(3) π (3)³

                              = 113.097 inches³

Volume of the region inside the cube but outside the sphere is,

Volume of cube - Volume of sphere

216 inches³ - 113.097 inches³

102.903 inches³

Hence the volume of the region inside the cube but outside the sphere is, 102.903 inches³.

To learn more about Volume, click :

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The six inch cube has a volume of 216 in³.
6*6*6=216
The sphere has a volume of 105.975 in³ (assuming pi is 3.14)
Because the sphere fits snugly inside the cube, it has a diameter of 6 inches and a radius of three inches.
4/3 π r³
4/3 π 3³
4/3 π  27
4/3(3.14)(27)
105.975

The volume of the region outside the sphere but inside the cube can be found by subtracting the area of the sphere from the area inside the cube.
216 - 105.975 = 110.025

The volume of the region outside of the sphere but inside the cube is 110.025 in 
³

How do I solve 1-5+1x(4x4-31)x8

Answers

so you solve (4*4-31) first which is -15 and this equation now is 1-5+1*-15*8, and the answer is going to be -124
You solve what is in the paratense first

The sum of the roots of 8x^2- 2x

Answers

Answer:

1/4

Step-by-step explanation:

To find the roots of the expression, factor the expression by GCF.

8x^2 - 2x\n2x(4x-1)

The roots are the factors set equal to 0 and solved for x.

2x = 0

x=0

4x-1 = 0

x = 1/4

The sum is the addition of the two roots 0 + 1/4 = 1/4

Convert z = 9cos200° + 9isin200° from polar form to rectangular form.-8.46 - 3.08i
-2.09 – 6.84i
8.46 + 3.08i
2.09 + 6.84i

Answers

Answer:

z = -8.46 - 3.08i.

Step-by-step explanation:

cos 200 = -0.93969 so 9 * cos 200 = -8.46 to the nearest hundredth.

sin 200 = -0.3420 so 9 * sin 200 = -3.08 to nearest hundredth.

Show 11,100 using only hundreds.

Answers

11,100=111\ hundreds


The answer is 111 hundredths

11,100= 111 hundredths

Hope this Helps!

Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6cm. The larger sphere has a radius of 24cm. Hiw much greater a volume of plaster did Zuri use for the larger sphere? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. __cm^3

Answers


She used 56972.16 cm^3 plaster :)