Answer:
60
Step-by-step explanation:
distance=80*45/60
=80*0.75
=60km
Answer:
The statement that "the margin of error was given as
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:

Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
<h2>
Stella is correct about center and wrong about radius </h2>
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here equation is
x²−8x+y²+2y=5
Changing in to (x-h)²+(y-k)² = r² form
x²−8x + 16 - 16 +y²+2y+1 - 1=5
(x-4)² - 16 + (y+1)² -1 = 5
(x-4)² + (y+1)² = 22
(x-4)² + (y+1)² = 4.69²
Center is (4,-1) and radius is 4.69
Stella is correct about center and wrong about radius
Answer:
All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65° hope this helps you
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
reduce 2/6 by dividing by 2