Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Let's solve this problem using substitution. Given that x-y=8, x = 8 + y.
(Then x^2 = 64 + 16y + y^2)
This other equation is (x-2)^2 + (y-1)^2 = 25.
Easier to substitute 8 + y for x in (x-2)^2:
(8 + y - 2)^2 + (y-1)^2 = 25
(6 + y)^2 + (y-1)^2 = 25
36 + 12y + y^2 + y^2 - 2y + 1 = 25
Re-writing this in descending powers of y:
2y^2 + 10y + 36 + 1 = 25
Then 2y^2 + 10y - 12 = 0
Reduce by division by 2: y^2 + 5y - 6 = 0 = (y+3)(y+2) = 0
Then y=-3 and y=-2. From each of these we get x: x = 8 + y
So x = 8 - 3 = 5 and x = 8 - 2 = 6. There are common solutions.
Try (5, -3) and (6, -2). Do these points satisfy both of the given equations? If they do, you've shown that we have common solutions.
Answer:
As noted in the comments, we need to find out which of those functions return a value of 14 when x is equal to 3.
No one of these functions gives ups a value of 3, but if we use them in combination, we can say that f(g(3)) gives us an end value of 14.
It may be that other combinations will give you the same result, but that is the most obvious one.
Step-by-step explanation:
Let's test each one:
None of these give a return value of 14 when x equals 3. Perhaps though, we can combine them to get the desired result?
Let's try f(g(3)):
Step-by-step explanation:
individual is telling the truth," to answer the following questions.
a. What is the probability of a Type I error? (Round your answer to 3 decimal places.)
b. What is the probability of a Type II error? (Round your answer to 2 decimal places.)