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olya-2409 [2.1K]
3 years ago
7

The radius of a small ball is around 4.89796 cm. the radius of a basketball is about 2.45 times larger. what is the ratio of the

surface areas of the small ball and a basketball?
Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
Formula for surface area of a sphere of radius r is A = 4pi*r^2.

The same formula, for the case where the radius is 2.45 times greater, comes out to A = 4pi*[2.45r]^2.

Just find the ratio of

4pi*r^2 to 4pi*[2.45r]^2.  It is 1/6.


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Let X denote a random variable which corresponds to the number of players in a team who get injured during a game. If we assume
Feliz [49]

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

4 0
3 years ago
Which strategy for addressing counterclaims should Christopher use to
Over [174]
Your answer is going to be c
8 0
3 years ago
(14-3x)2 simplified using the distributive property.
ivolga24 [154]

Answer: 28-6x

This is the same as -6x+28

===============================

To get that answer, you multiply each term inside the parenthesis by the outer term 2

14 * 2 = 28

-3x * 2 = -6x

So,

(14-3x)*2 = 14*2 - 3x*2 = 28-6x

----------

The distribution rule says

a(b-c) = ab-ac

which is the same as saying

(b-c)a = ba-ca

We can flip things around because we can multiply in any order.

6 0
3 years ago
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iragen [17]

an equation would be 95d=475

5 0
3 years ago
Read 2 more answers
| -1 - 3| = ? <br> asking for a friend
xz_007 [3.2K]

Answer:

4

Step-by-step explanation:

first you simplify, so -1-3=-4.

|-4|

the absolute value of negative four is just four with all signs removed (in this case, negative sign)

4

8 0
3 years ago
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