The standard equation of the circumference is given by:
(x ─ a) ^ 2 + (and ─ b) ^ 2 = r ^ 2
Where,
The ordered pair (a, b) represents the center of the circle.
The radius of the circumference is r.
In this case to find the radius of the circumference we must find the distance between the points (1, -6) and (7, -2).
We have then:
r = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
r = root ((7-1) ^ 2 + (-2 - (- 6)) ^ 2)
r = 2 * root (13)
The equation of the circumference will be:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = (2 * root (13)) ^ 2
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Answer:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Scenario: A girl initially has 9.3 US dollar and is given less 1.7 US dollar every weekend. The slope here is the -1.7. This is the value in which the money decreasing. The y-intercept is the value we obtain from the equation when we set x to zero. Similarly speaking, this is the original value is 9.3
Hope I helped you! Good Luck!
Answer:
2727
Step-by-step explanation:
The formula for finding the volume of a cone is
1/3πr²h
The radius would be 11.5 because, radius equals the diameter divided by two.
So, first you would plug your numbers into the equation
1/3(π)(11.5)²(19.7)
*use 3.14 for pi
Then multiply.
V = 2726.9 (2727 if you round to the nearest whole number)
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
