Answer:
And the best option would be:
Step-by-step explanation:
We assume that the distribution for the random variable is:
For this case we want to calculate the following probability:
And we can use the normal standard distribution or excel and we got:
And the best option would be:
A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
We can rewrite that without the primes and combine the powers of 2.
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
Answer:
6 people would be in each row // It isn't possible for there to be 7 equal rows
Step-by-step explanation:
36 members/6 rows= 6 people per row // 36 members/7 rows= 5.14..... people per row (just doesn't work!)
Answer:
C. Quadrant III
Step-by-step explanation:
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
