Answer:
So, the probability is P=0.041.
Step-by-step explanation:
We know that 45% of people in Fast-Food restaurants order a diet drink with their lunch.
We conclude that the probaility p=0.45 that a person order a diet drink.
We calculate the probability that the fourth person orders a diet drink.
We get:
So, the probability is P=0.041.
Answer:
you save 1.70 and spend 15.30
Step-by-step explanation:
Answer:
B (1, 5)
Step-by-step explanation:
When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.
Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.
- New point = (-(-1), 5)
- New point = (1, 5)
- Option B
Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
The volume is given by:
V = A * H
Where,
A: area of the base
H: prism height
Clearing the area we have:
A = V / H
A = 276/10
A = 27.6 feet ^ 2
The area of the base is given by:
A = (1/2) * (b) * (h)
Where,
b: base of the triangle
h: height of the triangle
Clearing b we have:
b = (2 * A) / (h)
Substituting values:
b = (2 * 27.6) / (6.9)
b = 8 feet
Answer:
the base length is:
b = 8 feet
