Let X be a random sample representing the score of a student in the American Chemical Society Examination.
P(450 < x < 500) = P((450 - 500)/(90/sqrt(25)) < z < (500 - 500)/(90/sqrt(25))) = P(-2.778 < z < 0) = P(z < 0) - P(z < -2.778) = P(z < 0) - [1 - P(z < 2.778)] = P(z < 0) + P(z < 2.778) - 1 = 0.5 + 0.99727 - 1 = 0.49727 = 49.7%
Answer:
, and .
Step-by-step explanation:
Given a point (x, y) with respect to origin and in rectangular coordinates, the exact value of sine, secant and tangent functions are, respectively:
Given that and , the exact values of sine, secant and tangent are:
1.
Let w be the number of weeks it takes for Konrad to have more than $72.
The equation we can derive is 57 + 3w > 72.
Then solve:
57 + 3w > 72
3w > 15
w > 5
Then w must be 6, which is the next number greater than 5.
2.
Let w be the number of weeks it takes Omar to have enough money for the car.
The equation we can derive is 1800 + 35w 2150.
Then solve:
1800 + 35w 2150
35w 350
w 10
Then w must be 10.
Answer:
10i-27
Step-by-step explanation:
(i-3)+6i-3(8-i)
(i-3)+6i-24+3i
(i-3)+9i-24
10i-3-24
10i-27