Answer:
The distance from the star to the second checkpoint is 4 miles
Step-by-step explanation:
The complete question in the attached figure
we know that
When you get to the second checkpoint, you are 1/4 of the distance to the finish
so
The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4
The total distance is 40 miles ( see the attached figure)
so
The distance from the star to the second checkpoint is
<em>Find out the distance from the start to the first checkpoint</em>
Multiply the distance from the star to the second checkpoint by 2/5
(x-3)(x-7)=0
x=3,7
hope this helps!
Answer:
a.
b.
c.
Attached file
d.
Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.
Step-by-step explanation:
a, b) For the group of smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:
a, b) For the group of non-smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:
c. In the attached file you can see the diagram of points for the times, in the smoking and non-smoking groups.
d. Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.
Answer:
11 inches by 11 inches
Step-by-step explanation:
The dimensions of the original photo were 11 inches by 11 inches.
We are informed that the area of the reduced photo is 64 square inches and that In the equation (x – 3)^2 = 64, x represents the side measure of the original photo.
In order to solve for x, we shall first take square roots on both sides of the equation;
The square root of (x – 3)^2 is simply (x - 3).
The square root of 64 is ±8 but we ignore -8 since the dimensions of any figure must be positive.
Therefore, we have the following equation;
x - 3 = 8
x = 8 + 3
x = 11
Answer:
Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:
Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:
Hence, the smallest desired sample size is 23
