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Wewaii [24]
2 years ago
8

PLEASE HELP!! Find the volume of the sphere rounded to the nearest hundredth

Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

Step-by-step explanation:

The volume for a sphere is

V=\frac{4}{3}\pi r^3. Our radius is 21 inches, so

V=\frac{4}{3}\pi (21)^3 and

V=\frac{4}{3}\pi (9261). Multiplying straight across the top, using the fact that 3.14 is pi:

V=\frac{116318.16}{3} and divide to get that

V = 38772.72 in^3

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vlabodo [156]

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F(0)=1

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3 years ago
Suppose a compact disk​ (CD) you just purchased has 1515 tracks. After listening to the​ CD, you decide that you like 66 of the
stepladder [879]

Answer:

(A) 0.4196

(B) 0.2398

(C) 0.0020

Step-by-step explanation:

Given,

Total songs = 15,

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If any 5 songs are played,

Then the total number of ways =  ^{15}C_5

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Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of choosing 3 females and 2 males = \frac{ ^6C_2\times ^9C_3}{^{15}C_5}

=\frac{\frac{6!}{2!4!}\times \frac{9!}{3!6!}}{\frac{15!}{10!5!}}

= 0.4196

Similarly,

(B)

The probability of choosing 3 liked songs = \frac{ ^6C_3\times ^9C_2}{^{15}C_5}

=\frac{\frac{6!}{3!3!}\times \frac{9!}{2!7!}}{\frac{15!}{10!5!}}

= 0.2398

(C)

The probability of choosing 5 liked songs = \frac{ ^6C_5\times ^9C_0}{^{15}C_5}

=\frac{\frac{6!}{5!1!}}{\frac{15!}{5!10!}}

≈ 0.0020

3 0
3 years ago
2. Laura and Sage both ordered pizza from the same pizza shop. Laura paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Sage
uysha [10]

Answer:

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c. Plain pizza: $10.50

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

7 0
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