Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:

In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that
.
a. What is the probability that both Dave and Mike will show up

0.3339 = 33.39% probability that both Dave and Mike will show up
Answer:
total surface area of cone is πr (r+l)
22/7 x 3 (3+4)
22/7*3 (7)
22 x 3 ( as 7 that was divided by 22 was cut out with 7 in the bracket)
hence,
TSA of cone = 66pi
Answer:
The perimeter of a shape is the sum of the measurements of all sides. Since a rectangle have equal lengths and widths, you can just add the numbers twice.
So, 15 + 15 + 8 + 8. So the perimeter is 46 cm.
Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8
Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°