Answer: A, 102
Step-by-step explanation:
Okay so just find the big square and subtract the holes
big square is 30x20 which is 600
hole #1 is 20x5 = 100
hole #2 is a triangle so you first find the base and height which are 10 and 5 respectively. Then use the triangle area formula a = 1/2bh to find that the triangle's area is 25.
Subtract the holes now
600-100-25 = 475
1 Gallon = 200 square feet covered so divide 475 by 200 to find how many gallons should be used. It's 3 gallons since you can't just buy a fraction of a gallon (Unless your being weird).
One gallon is 34, so 3 gallons is 3*34 = 102
Or in other words... A
hope you learned and can incorporate these methods for future problems :D!
Answer:
-2
Step-by-step explanation:
The line is going down 2 over 1 making it -2/1
this becomes -2
If there are two cups in a pint, two pints in a quart, and four quarts in a gallon that means that there are 16 cups in a gallon. then, in order to convert, all you do is divide 152/16. when you divide this out, you get 9.5 gallons
The key is that the 58 degree angle and the 5x+3 angle are equal because they are opposite interior angles since the top and bottom sides are parallel
Answer:
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Step-by-step explanation:
We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.
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.

The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.
The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.