Answer:
A. 20%
Step-by-step explanation:
These events are independent, because if David eats a healthy breakfast cannot influence on would be rain or not.
"And" for probabilities of independent events means "x" (times).
80% = 0.8
25% = 0.25
0.8*0.25 = 0.2 = 20%
![\frac{3x-5}{x-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x-5%7D%7Bx-5%7D%20)
> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
![\frac{3x-5}{x-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x-5%7D%7Bx-5%7D%20)
= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
:
Let's pick x - 0. Then,
![\frac{3x0-5}{0-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x0-5%7D%7B0-5%7D%20)
> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
< x < 5:
Let's pick x = 2. Then,
![\frac{3x2-5}{2-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x2-5%7D%7B2-5%7D%20)
> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
![\frac{3x6-5}{6-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x6-5%7D%7B6-5%7D%20)
> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
and x > 5
Answer: x <
![\frac{5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20)
and x > 5
Answer:
-1/4 (2x - 5y)
Step-by-step explanation:
For us to factor -1/4 out of -1/2x -5/4y
We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown
-1/2x - 5/4 y
= -1/4 (-4(-1/2x) - (-4)(-5/4y))
= -1/4 (4/2 x - 20/4 y)
= -1/4 (2x - 5y)
Hence the factored expression is -1/4 (2x - 5y)
1: cell
2: distinction
3: assumption
4: foliage
5: commision
6: viewpoint
7: considerable
8: membrane
9: cell
10: final
11: viewpoint
12: considerable
uwu
Edit: added 9-12 didn't see them until I accidentally scrolled down, lol.
Answer:
Relationship between temperature at different times of the day during the Winter period in places like Alaska and Minnesota in the USA.
Step-by-step explanation:
An example of a relationship that would have a negative number in the domain or range would be the relationship between the temperature at different times of the day during the snow period in the winter. It's well known that in places like Alaska and Minnesota in the USA, that during the winter when there's very heavy snow, the average temperature is usually below 0°C. The temperature is the dependent variable and is most likely negative in those 2 states and thus the range would have negative numbers.