Known facts:
A line shaft rotating at 250 rpm, a grinder shaft that turns at 1200 rpm diameter of grinder pulley is 5 inches.
1. Proportion equation
350/1200 = 5/x
2. Cross multiply
1200*5=250*x
x=(1200*5)/250 = (24*50*5)/(5*50) = 24
The big wheel diameter is 24 inches
step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
Just plug in the values for m
so the possible values for k are
when m=5

when m=7

when m=9

so the possible values for k are {4,5,6}
Answer:
The data is skewed to the bottom and contains an outlier.
Step-by-step explanation:
1. Test for outlier
An outlier is a point that is more than 1.5IQR below Q1 or above Q3.
IQR = Q3 - Q1 = 74 - 51 = 23
1.5 IQR = 1.5 × 23 = 34.5
51 - 15 = 36 > 1.5IQR
The point at 15 is an outlier.
2. Test for normal distribution
The median is not in the middle of the box.
Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.
3. Test for skewness
The longer part is to the left of the median, so the data is skewed left.
X=37/5
or 7.4 in decimal form