Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42
P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708
option C is the correct answer.
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
Perimeter of a triangle = add all sides
Both the legs of the isosceles triangle are always EQUAL.
x+4x-6+4x-6 = 60
9x-12 = 60
9x = 60+12
9x = 72
x = 8
Answer:
V = 36
Step-by-step explanation:
V=whl=3·3·4=36
Factors of 3771 are:
1, 3, 9, 419, 1257, 3771
Factors of 3298 are:
1, 2, 17, 34, 97, 194, 1649, 3298
As you can see, no factors goes into both number.
Therefore, there should be no number goes into both 3771 and 3298 evenly.
Hope this helps and hope I didn't misunderstood this question. :D