Answer:
The diagonal is 421.
Step-by-step explanation:
This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation;
(A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.
The B and H = 416. Plug it into the equation now;
Now that you have done that, we know that the area of our new triangle is 86,528.
The diagonal is: 
Answer:
-7
Step-by-step explanation:
-8 = (-1/4)(4) + b
-8 = -1 + b
b = -7
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So



has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Answer:
you will 180 pints of the 100% juice and 540 pints of the 40% juice
Step-by-step explanation:
in order to get a 55% mixture you must combine 1 100% and 3 40%
100 + 120 = 220 then divide by 4 and you get 55% juice
now you must use 180 100% juice and 540 40 % juice to make 180 pints
you need this because the ratio is 3 40% to every 1 100%
You can 14 rows of 5 chairs, which also means you can do 5 rows of 14. Or 7 rows of 10 or 10 rows of seven. That's all I'm getting that doesn't exceed the 20 row limit.