If
is the variable of the horizontal axis, then you can solve for
to get the equation of the line in slope-intercept form in the
plane:
i.e. a line with slope
through the origin, which means it is contained in the first and third quadrants. Since the terminal side of
has a negative sine, the angle must lie in the third quadrant.
Because the slope of the line is
, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle
. Any such right triangle will have
, regardless of whether the angle is the first or third quadrant. But since
is known to lie in the third quadrant, and so
and
are both negative, you have
The hypotenuse is approximately 6.2
Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16
Therefore, The required price is $104,346.16
Answer:
10% chance or 1/10
Step-by-step explanation:
5 out of the 100 cards are free lunches simplified it would be
1/10
Answer:
0.5 or 50%
Step-by-step explanation:
For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:
Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:
The probability is 0.5 or 50%.
