Answer:
Try to find the value for B/A if the value of B/A is the same for each pair of numbers
Step-by-step explanation:
Steps to determine if two quantities in a table are proportional to each other: For each given measure of Quantity A and Quantity B, find the value of B/A If the value of B/A is the same for each pair of numbers, then the quantities are proportional to each other.
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
X=500 I mean division is the answer to x=500
Answer:
Last year there were 550 bison in the heard and this year it is 10% larger.
10% is also 10/100 or 0.10
To find 10% of the heard last year
550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,
to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.
550 x 1.10 = 605
For the second example.
If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.
550 = (x - (x * 0.10)) simplify;
550 = 1x - 0.10x
550 = 0.90x
Divide both sides by 0.90
x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.
12.....because there are 4 quarters in $1
