Answer: 95% confidence interval would be (0.555,0.745).
Step-by-step explanation:
Since we have given that
n = 97
x = 63
So, we get that

At 95% confidence interval , z = 1.96
so, Margin of error would be

So, interval would be

Hence, 95% confidence interval would be (0.555,0.745).
Answer:
4 km
Step-by-step explanation:
T = time
D = distance
S = speed
the forumla to find the distance is
T * S = D
manipulate the equation for this problem:
D/S = T
Plug-in the known values
D = 12.5 km
S = 50kph
12.5km/50kph
cancel units and simplify
4 km
Answer:
<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>
Step-by-step explanation:
<u>Equations</u>
We are given some conditions applying to the internal angles on a triangle ABC.
The measure of angle A is 13 less than the measure of angle C.
The measure of angle B is 11 less than 4 times the measure of angle C
Let x = measure of angle C
The first conditions states:

The second conditions states:

The sum of all angles must be 180°, thus:

Simplifying:
6x -24 = 180
Adding 24:
6x = 204
Dividing by 6:
x = 204/6
x = 34



The measures of angles A, B, and C are respectively 21°, 125°, and 34°
F (x)= x+12 is the inverse of the function