Answer:
65 square units
Step-by-step explanation:
Assuming point O refers to the origin, the segment OA has slope ...
m = Δy/Δx = 5/1 = 5
Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.
The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
0 -5 = (-1/5)(x -1)
25 = x -1 . . . . . . . multiply by -5
x = 26 . . . . . . . add 1
This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...
A = 1/2bh
A = 1/2(26)(5) = 65 . . . . square units
Triangle OAP has an area of 65 square units.
Answer:
462 mi
Step-by-step explanation:
Gloria gets 420 mi/tank.
10 % of 420 is
420 × 0.10 = 42 mi
She will be able to drive an extra 42 mi.
420 + 42 = 462 mi
With her new tires, a tank of gas will take her 462 mi.
x intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
x intercept
set y=0
4x-3y=12
4x-3(0)=12
4x=12
divide by 4
x=3
the x intercept is 3
y intercept
set x=0
4x-3y=12
4(0)-3y=12
-3y=12
divide by -3
y=-4
the y intercept is -4
Answer:
HUh? LOL
Step-by-step explanation:
Answer: a) 0.8665
b) 0.8190
Step-by-step explanation:
Given : The partial pressure of oxygen PaO2 is a measure ofthe amount of oxygen in the blood. Assume that the distribution ofPaO2 levels among newborns has a 
38 mmHg and 
9 mmHg.
If we take a random sample n= 25 newborns, then using formula 
, we have
At x= 36
At x= 41
Using table for z-values, the probability that the sample mean will be greater than 36 :
The probability that the sample mean will be between 36 and 41 :-
