Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS
1 answer:
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As per the given information;
Bacteria triples every month.
Originally, there were 4 bacterial cells.
We are suppose to find how many there will be after 15 months.
Hence we can say , the number of bacteria after n month can be given using the exponential growth function
So number of bacteria after 15 month will be
Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )
m = =
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 2 ) , then
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = - 2x + 6 ← equation of line
Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:
Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:
Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:
Thus, the probability of the union of events "woman" or "no" is 0.45.