$\alpha = \cfrac{180(n-2)}{n} \ \ \ \ \ [ \alpha =interior \ angle, \ \ n=number \ of 
 \ sides] \\ \\ \\ 140 = \cfrac{180(n-2)}{n} \\ \\ 140n = 180(n-2) \\ \\ 140n=180n-360 \\ \\ 40n=360 \\ \\ n= \frac{360}{40}=9 \ \ sides$

4 0

3 years ago

Read 2 more answers

A basketball player has made 6060% of his foul shots during the season. Assume the shots are independent.

motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

$E(X) = \frac{1}{P(X)}=\frac{1}{0.4} \\E(X) = 2.5\ shots$

The expected number of shots until the first miss is 2.5

b) The expected number of shots made in 99 attempts is:

$E=99*0.6\\E=59.4\ shots$

He is expected to make 59.4 shots

c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

$s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots$

The standard deviation is 4.87 shots.

7 0

2 years ago

How do you change 44/15 into a mixed number

torisob [31]

First you can divide 44 into 15, which is two with a remainder of 14 so that means the mixed number would be 2 and 14/15
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5 0

3 years ago