The results of the experiment are shown in the frequency side
a) 14
b) 3600 Best guess 300*12
Answer:
40
Step-by-step explanation:
6x7-8/4 =42 - 2 = 40
Answer:
The probability of that happening is 1/22
Step-by-step explanation:
In order to find the probability, you need to start by finding the probability for each step. The probability of the first one being red is the number of red marbles divided by the total number of marbles.
3 red / 12 total.
3/12
1/4
Now the chance that the second is white is the total number of white marbles divided by how many are left in the bag.
4 white / 11 left
4/11
Lastly, the chance of the last one being blue is the number of blue marbles divided by the amount of total marbles left after two pulls.
5 blue/ 10 left
5/10
1/2
Now to find the overall probability of all 3 happening, we multiply all 3 probabilities together.
1/4 * 4/11 * 1/2 = 1/22
Answer: x = {-4, -1, 2}
<u>Step-by-step explanation:</u>
q p
F(x) = x³ + 3x² - 6x - 8
Possible rational roots are: +/- {1, 2, 4, 8}
F(1) = (1)³ + 3(1)² - 6(1) - 8
= 1 + 3 - 6 - 8
= -10 <em>Since the remainder is not 0, then x = 1 is not a root</em>
F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8
= -1 + 3 + 6 - 8
= 0 <em>Since the remainder is 0, x = -1 is a root.</em>
Use synthetic division to find the remaining factor:
x = -1 → x + 1 = 0
-1 | 1 3 -6 -8
<u>| ↓ -1 -2 8 </u>
1 2 -8 0
(x + 1)(x² + 2x - 8) = 0
Next, factor the polynomial:
(x + 1)(x + 4)(x - 2) = 0
x + 1 = 0 x + 4 = 0 x - 2 = 0
x = -1 x = -4 x = 2