What goes into the bowl . . .
-- granola . . . 9-1/3 pounds
-- nuts . . . . . 9-1/3 pounds
-- raisins. . . . 9-1/3 pounds
How much is in the bowl all together ?
(9-1/3) + (9-1/3) + (9-1/3) = 27-3/3 = <em>28 pounds</em> .
After stirring, mixing, shaking, and resting, how much is
still in the bowl ?
Still 28 pounds. Nothing else went in, and nothing came out.
After a month, nobody has come into the store yet asking to buy
28 pounds of trail mix. So before it spoils or gets soggy, they decide
to split it up into 14 smaller packages, and see if more people will
buy smaller packages.
They make all of the small packages exactly equal.
How much trail mix is in each one ?
(28 pounds) divided by (14 packages) = <em>2 pounds/package</em>
Xy = 8
x + y = 6
x + y = 6
x - x + y = -x + 6
y = -x + 6
xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4
x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)
or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)
The two numbers that add up to 6 and multiply to 8 are 4 and 2.
Step-by-step explanation:
$68 000 × 8 years
= $544 000
$1 500 × 8 years
= $12 000
$544 000 + $12 000
= $556 00
Answer: Hello mate!
Two independent events, mean that the fact that, if the event A occurred, this has no effect in the probability of the event B to occur after.
For example, a coin flip.
The first result has no effect on the next result.
Then the notation P(A/B) is the probability of the event A when the event B occurred before, but as we know, the fact that the event B occurred before has no effect in it; so:
P(A/B) = P(A) = 0.30
Answer:
Step-by-step explanation:
<u>Complex Numbers</u>
They are expressed as the sum of a real part and an imaginary part:
Complex numbers can also be expressed in polar form:
Where r is the modulus of the complex number and θ is the argument.
The argument can be calculated by:
The angle θ must be calculated in the appropriate quadrant depending on the signs of the real and imaginary parts.
The complex number is given as:
Here: a=-3, b=-9
Since both components are negative, the argument lies in the third quadrant (180° < θ < 270°).
The calculator gives the answer 71.6°, we need to adjust the angle to the third quadrant by adding 180°, thus
