Answer:
35735
Step-by-step explanation:
Step 1:
35000 + 0.021(35000)
=35735
I don't know what the "six-step method" is, but I do know how to solve the problem:
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>
First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180
We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.
With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.
Hence, the correct answer is C) more than one triangle.
The difference between 81 and the mean is
81 - 74 = 7
This is exactly the value of the standard deviation. You know that the "empirical rule" tells you 68% of all scores lie within 1 standard deviation of the mean. That tells you 32% of all scores lie beyond 1 standard deviation from the mean.
The normal distribution is symmetrical, so half of those (16%) lie above 1 standard deviation above the mean; the other half (16%) lie below 1 standard deviation below the mean. We're only concerned with the first group—those scores above 1 standard deviation above the mean.
The appropriate choice is
D. 16%
