Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.
The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
Answer:
A)19 in
Step-by-step explanation:
A) 76/4 is 19.
X=-0.5
Move 4x to another side and you will get it.
Answer:
Probability is 0.0174
Step-by-step explanation:
Given data
mean = 140
variance = 25
no of sample n = 49
to find out
probability of the sample
solution
standard deviation is
standard deviation =
standard deviation = 5
we mean by more than 1.7 millimeters so
mean (X1) = mean + 1.7 or mean - 1.7
so probability = X1 -mean/ ( standard deviation / )
probability = 140 -1.7 -140 / ( 5 / )
probability = - 1.7 / 35 = -0.048
probability = 140 + 1.6 -140 / ( 5 / )
probability = 1.7 /35 = 0.048
so required probability is i.e
= P(X1 < mean - 1.7 ∪ X1 > mean + 1.7 )
= 1 - P(mean -1.7 < X1 < mean +1.7 )
= 1 - P(-0.048 < X1 < 0.048 )
= 1 - 0.9826
= 0.0174
so required probability is 0.0174
Answer:
y = (x-5)² - 3
Step-by-step explanation:
Given:
- translates 4 units right
- 5 units down
Transformation:
is translation of <em>a units</em> to the right
is translation of <em>b units</em> down.
Therefore:
is our new equation or transformation:
Therefore, the new equation is y = (x-5)² - 3