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4 years ago

The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

1 answer:

3 0

The volume of a sphere with respect to its diameter is:

V=(4πr^3)/3

V=(πd^3)/6 (because r=d/2 and r^3=(d^3)/8), we are given that d=4 so

V=64π/6 cm^3

V=32π/3 cm^2

V≈33.51 cm^3 (to nearest hundredth)

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Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

3 years ago

Least to greatest √5,-2.1,0.5,-0.5,5/100

Sladkaya [172]

Answer: -2.1, -0.5, 5/100, 0.5, √5

Step-by-step explanation:

Start with the negative numbers. Take the absolute value - the ones with the largest absolute value are the farthest from 0, so they are the smallest numbers.

-2.1, -0.5

Then, convert the numbers not in decimals to decimals.

5/100 = 0.05

√5 is about 2.3.

5/100, 0.5, √5

6 0

4 years ago

A room in the shape of a rectangular prism measures 15 feet by a feet by 12 feet. Write a simplified expression for the volume (

Doss [256]

Answer:

5x3

Step-by-step explanation:

3 0

3 years ago

In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If th

trapecia [35]

Answer:

60 maths books

Step-by-step explanation:

Let the following be:

Maths books = m
Science books = s
History books = h

And we have ratios and sum:

m/s = 3/2
s/h = 1/3
m+s+h = 220

From the ratios we get:

m = 3s/2
h= 3s

Considering the above in the sum of books:

m+s+h = 220
3s/2 + s + 3s = 220
3s + 2s + 6s = 2*220
11s = 440
s = 440/11
s = 40

Number of maths books:

m = 3s/2 = 3*40/2 = 60

6 0

3 years ago

Calculate the puppy's speed at 6 seconds.

Alla [95]

The answer is A hope that helps

8 0

3 years ago

Read 2 more answers