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bija089 [108]
3 years ago
10

The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t

he small sphere?

Mathematics
2 answers:
Lelu [443]3 years ago
6 0
Hope this helps you!

Stells [14]3 years ago
5 0

Given:

Radius of large sphere: R1

Volume of sphere: V1

Radius of small sphere: R2

Volume of sphere: V2

R1=2R2

We know that:

Volume of a sphere: 4/3πR^3


Volume of large sphere: 4/3πR1^3

Now we know that R1=2R2(given)

Thus volume of large sphere(V1) 32/3πR2^3.

Volume of small sphere(V2): 4/3πR2^3.

Ratio of volume of large sphere to small sphere is 8:1.

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The nth term of a sequence is 25-3n
Komok [63]

Answer:

22, 19, 16 and - 5

Step-by-step explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given a_{n} = 25 - 3n, then

(a)

a_{1} = 25 - (3 × 1) = 25 - 3 = 22

a_{2} = 25 - (3 × 2) = 25 - 6 = 19

a_{3} = 25 - (3 × 3) = 25 - 9 = 16

(b)

a_{10} = 25 - (3 × 10) = 25 - 30 = - 5


5 0
3 years ago
Read 2 more answers
If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No
Effectus [21]

If A and B are independent, then P(A\cap B)=P(A)P(B).

a.

P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)

P(A\cup B)=0.5+0.2-0.5\cdot0.2

\boxed{P(A\cup B)=0.6}

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)

P(A^c\cap B^c)=1-0.6

\boxed{P(A^c\cap B^c)=0.4}

c. DeMorgan's law can be used here too:

P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)

P(A^c\cup B^c)=1-0.5\cdot0.2

\boxed{P(A^c\cup B^c)=0.9}

4 0
3 years ago
What is the 100th term in the sequence 15, 22, 29, 36, 43,...
oksano4ka [1.4K]

Answer

Step-by-step explanation:

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5 0
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Krystal made 8 quarts of soup on Monday 5 quarts of soup on Tuesday and 5 quarts of soup on Wednesday. If she serves each guest
vazorg [7]

Answer:

To get the answer you need to add these together to find the total number of quarts she made.

8+5+5= 18 quarts of soup.

If everyone gets one cup, then 18 people are able to get soup.

The answer is 18 guests.

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
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In the figure, AB | CD and<br>mZ1 = 120°<br>What is mZ5<br>​
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Answer:

Step-by-step explanation:

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