Answer: 0.0221
Step-by-step explanation:
We know that the formula to find the standard deviation of the sample proportion is :
, where p = proportion of success.
n= sample size.
As per given , we have
p=0.58
n= 500
Then, the standard deviation of the sample proportion in this situation would be :
Hence, the standard deviation of the sample proportion in this situation is 0.0221 .
The lines are: B) Perpendicular
Step-by-step explanation:
we have to convert both lines in slope-intercept form to find slopes
So,
Let m1 be the slope of first line
For the second line:
Let m2 be the slope of line 2
So,
If the lines are parallel, their slopes are equal
If the lines are perpendicular, product of their slopes is -1
We can see that
Hence,
The lines are: B) Perpendicular
Keywords: Slopes, Parallel lines
Learn more about slopes of lines at:
#LearnwithBrainly
Take 1.35/3 and take that number x10 to get $4.50
Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
