Answer:
m < -6
Step-by-step explanation:
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Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Taking the general form:
y = A cosine (Bx - Cπ)) + D
In the following case. the constants are:
y = 0.5 cosine (4x - 2π)) - 2
A: 0.5
B: 4
C: 2π
D: -2
The range of this function is:
range = [-|A|+D, |A|+D]
range = [-0.5-2, 0.5-2]
range = [-2.5, -1.5]
Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"
At x = 0, the function value is:
y = 0.5 cosine (4(0) - 2π)) - 2
y = 0.5 - 2 = -1.5
As indicated in "a curve crosses the y-axis at y = negative 1.5"
The period of the function is:
period: 2π/B
period = 2π/4 = π/2 or 2 cycles at π
as described in "It goes through 2 cycles at pi."
Answer:
A: 14/65
Step-by-step explanation:
Let A be the event of pulling a blue marble first, there are 28 blue marbles
Let B be the event of pulling a red marble second, there are 12 red marbles
There are 40 total marbles in the bag.
So
P(A) = 28/40
Since he pulls two marbles with out replacement, there is one less marble in the bag when he pulls the second marble, so there are only 39 marbles left, so
P(B) = 12/39
When calculating the probability of multiple events, you multiply their probabilities together, so we have
P(A then B) = (28/40)(12/39) = 336/1560
Now reduce the fraction...
112/520
28/130
14/65
60/80 = 0.75
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