Triangle A is the pre-image, and triangle B is the image. Find the scale factor for this dilation if the center of dilation is a
t (0,0)
1 answer:
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Answer:
The sampling distribution of x is N(118, 2.5).
Step-by-step explanation:
We have that:
The mean of the population is
The standard deviation of the population is .
(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)
The mean of the sampling distribution is the same as the mean of the population.
The standard deviation of the sampling distribution is the standard deviation of the population divided by the square root of the sample size. So
This means that the sampling distribution of x is N(118, 2.5).
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations ( radians), the arc length traveled is
Now, what angle is swept by the larger circle when it travels ? Put in
and r is 7 to find
:
** Since radians is 180°, we plug in 180 into
and find the degree measure:
Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:
We know that the smaller circle makes 1 rotation and travels , so in
distance, it makes:
Rotations =
About 2.33 Rotations