Answer:
Step-by-step explanation:
10x + 25y = 370
y = x + 5
10x+25(x+5)=370
10x+25x+125=370
35x=370-125
x=245/35
x=7 which is the number of dimes
x+7= 7+5= 12 which is the number of quarters
So you have 12 quarters. That means you have 7 dimes.
Answer:
6
Step-by-step explanation:
Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.
The ratios we will create will be
where each long and short form an angle.
So write:

To solve, cross multiply numerator with denominator.
12(4) = 8(y)
48=8y
6=y
Answer:
a) No.
b) Yes.
c) Yes.
Step-by-step explanation:
a) No.
As being without replacement, the probabilities of each color in each draw change depending on the previous draws.
This is best modeled by an hypergeometric distribution.
b) Yes.
As being with replacement, the probabilities for each color is constant.
Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.
(With more than two colors, it should be "red" and "not red", allowing only two possibilities).
c) Yes.
The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.
No of people not from their neighborhood=25-20=5
total contact s=25
therefore probability to call a person not from his neighborhood=5/25=1/5
therefore P=1/5
Answer:
x ≈ 63.27
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan49° =
=
=
( multiply both sides by 55 )
55 × tan49° = x , then
x ≈ 63.27 ( to the nearest hundredth )