A = 15 a = athena, s = samantha, b = bonus points
s = b + a
s = b + 15
In degrees,
arccos(0.36) = 68.89980398 ≈ 68.9°
In radians,
arccos(0.36) = 1.202528433 ≈ 1.20
Given that the probability of mail being delivered is 0.90, to evaluate the probability that the mail will be delivered before 2 p.m for 2 consecutive days will be evaluated as follows:
Let the probability that the milk will be delivered before 2 p.m be P(x). Since the two days are independent events, the probability of the mail being delivered before 2 p.m in 2 consecutive days will be:
P(x)×P(x)
=0.9×0.9
=0.81
Answer:
{-0.36, 8.36) to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x = 3
(x - 4)^2 - 16 = 3
(x - 4)^2 = 19
Taking square roots:
x - 4 = +/- √19
x = 4 +/- √19
x = {-0.36, 8.36} to nearest 1/100.
Answer:
y = 2x - 3
Step-by-step explanation:
Given:
(3, 3) and (4, 5)
Solve:
Find the slope (m) between the two points:
m = (y2 - y1)/(y2 - 1)
(x1, y1) = (3, 3)
(x2, y2) = (4, 5)
m = (5 - 3)/(4 - 3)
= 2/1
m = 2
Slope-intercept form (y = mx + a):
y = 2x + a
To find a, plug in one of the points into the equation:
3 = 2(3) + a
3 = 6 + a
3 - 6 = a
a = -3
y = 2x - 3
