Answer:
E 240
Step-by-step explanation:
Geometric Distribution mean = (1- p) / p
16 = (1 - p) / p
16p = 1 - p ; 17p = 1 ; p = 1/17 = 0.058
Standard Deviation = (1 - p) / p^2
= (1 - 0.058) / (0.058)^2
0.942 / 0.003364
= 280 , closest to 240
B. Since she has to divide the number of pictures with how many pages
<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get

Similarly, for a chain with 14 paper clips with length to be found, we get

Now by using eqn 1, we can calculate the length of 14 paper clips is,

Rearranging the terms we get,


Hence the length of chain with 14 paper clips is 21 inches.
Answer:
r=9⅓
Step-by-step explanation:
(10,r). (4,-3)
(x¹,y¹) (x²,y²)
gradient=<u>y²-y¹</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
<u>4</u>= <u>-</u><u>3</u><u>-</u><u>r</u>
3<u> </u><u> </u><u> </u><u> </u>4-10
multiply both sides by 3(4-10)to remove the denominators.
3(4-10<u>)</u>×<u> </u><u>4</u><u> </u>= <u>-</u><u>3</u><u>-</u><u>r</u><u> </u>×3(4-10)
3 4-10
(4-10)×4= (3-r)×3
16-40=9-3r
put the liketerms together
note* signs(- +) change when they cross the equal sign(=)
3r=4+40-16
3r=28
divide both sides by 3
r=28/3.
r=9⅓