Answer: answer is d? if im wrong plz tell me
Step-by-step explanation:
Answer:
1/24 = 0.0417 (3 sf) = 4.17% (3 sf)
Step-by-step explanation:
- Probability is how likely something is to happen
- The probability of an event happening = (number of ways it can happen) ÷ (total number of outcomes)
With a number cube there are 6 outcomes: 1, 2, 3, 4, 5 or 6
So the probability of rolling any of these 6 numbers is = 1/6
⇒ probability of rolling a 3 = 1/6
The probability of rolling an even number = the probability of rolling a 2 OR a 4 OR a 6 = 1/6 + 1/6 + 1/6 = 3/6
As rolls are independent from any other rolls, the probability of the second and third roll will not be affected by the first or second roll.
We can calculate the chances of two or more independent events by multiplying the chances.
Therefore, the probability of getting an even number AND an even number AND a 3 = 3/6 x 3/6 x 1/6 = 1/24
Answer:
≈3.61 (3 significant figures)
Step-by-step explanation:
Distance formula:

Find the two coordinates:
Point A: (-5,3) --> x1 and x2
Point B: (-2,1) --> y1 and y2
Then just plug in the coordinates by the corresponding terms in the formula.
DONE! :)
Answer:
6+n/8=2
Step-by-step explanation:
* More Than = (+) or in some cases (>)
* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".
* Equal = <---
Answer: 3
<u>Step-by-step explanation:</u>
(x + 4i) is a root which means its conjugate (x - 4i) is also a root
(x + 4i)(x - 4i) = x² + 16
Use Long Division for 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336 ÷ x² + 16
<u> 2x³ - 13x² - 10x + 21 </u>
x² + 16 ) 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336
- <u>(2x⁵ + 0x⁴ + 32x³) </u> ↓ ↓ ↓
-13x⁴ - 10x³ - 187x² ↓ ↓
- <u>(-13x⁴ +0x³ - 208x²) </u> ↓ ↓
-10x³ + 21x² - 160x ↓
- <u>(-10x³ + 0x² - 160x)</u> ↓
21x² + 0x + 336
- <u>(21x² + 0x + 336)</u>
0
Use Synthetic Division to divide (x - 7) by the reduced polynomial (2x³ - 13x² - 10x + 21)
7 | 2 -13 -10 21
<u>| ↓ 14 7 -21 </u>
2 1 -3 0 ← remainder is 0
Use grouping to factor the reduced polynomial (2x² + x - 3)
2x² - 2x + 3x - 3
= 2x(x - 1) +1(x - 1)
= (2x + 1)(x - 1)
The factors are: (x - 7) (2x + 1) (x - 1) (x + 4i) (x - 4i)
The first 3 are real roots and the last 2 are complex roots