Answer:
(a, a)
Step-by-step explanation:
actually there are two cases, don't have intersection and have. if have intersection, then they intersect at line y = x or point (a, a) by definition of inverse function.
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



Answer:
40°
Step-by-step explanation:
m∠ABD = m∠DBC because they’re being split equally among m∠ABC
Therefore, m∠ABD = 40°
Answer:
Point slope: y+4=4(x-3)
Slope-intercept: y=4x-16
Step-by-step explanation:
1. Use the slope formula to find the slope.
y2-y1/x2-x1
8--4/6-3 = 12/3
Slope is 4
2. Use the slope and one of the coordinates to put the equation in point-slope form.
Point slope form: y-y1=m(x-x1)
y+4=4(x-3)
3. Distribute and simplify to put it in slope-intercept form.
y+4=4x-12
y=4x-16
75 I think since 75 divided by 3 equals 25