Answer:
see explanation
Step-by-step explanation:
∠1 = 58° ( alternate angles )
∠1 and ∠2 form a straight angle and are supplementary, thus
∠2 = 180° - 58° = 122°
Answer:
The margin of error for a 99% confidence interval for the population mean is 1.8025.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem:

So

The margin of error for a 99% confidence interval for the population mean is 1.8025.
The trick to calculating the area here is to subdivide the diagram into smaller parts. For example, there's a 3 cm-by-3cm square. The rectangle is 4 cm by 8 cm.. The triangle has a base of 5 cm and a height of 3 cm.
Total area = area of square + area of rectangle + area of triangle
= 9 cm^2 + 32 cm^2 + (1/2)(5 cm)(3 cm)
= (9 + 32 + 7.5) cm^2
= 48.5 cm^2 (total area of figure)
The average travel time is simply the mean travel time between the given points
- The average time that it takes for the car to travel the first 0.25m is 2.23s.
- The average time to travel just between 0.25m and 0.50m is 0.9s.
- Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.
<u>(a) The average time to travel the first 0.25m</u>
The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.
So, the average time to travel is:



<u>(b) The average time to travel just between 0.25m and 0.50m</u>
The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.
So, the average time to travel this distance is:



The average time to travel between both distance is the difference between the average time of each distance.
So, we have:


<u>(c) The velocity in the second 0.25m section</u>
The distance and time are:


So, the velocity is:

This gives


Read more about distance, velocity and time at:
brainly.com/question/4931057
Answer:
Every 34 days, te amount of food decreases by 3 cups.