Answer:
Sample mean = 30
Standard deviation = 10
Step-by-step explanation:
A system with two linear equations can be modeled with the information given in order to find the sample mean (M) and the standard deviation (s):
Solving the linear system:
The sample mean is 30 while the standard deviation is 10.
Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is the sum of the chords' intercepted arcs.
m∠BPD = (M∠BD + M∠CA)
= (70 + 170)
= (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
Answer <u>(assuming it is allowed to be in point-slope format)</u>:
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be .
2) Now, use the point-slope formula, to write the new equation with the given information. Substitute
,
, and
for real values.
The represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer: