X=10 first u do 35-5 then u do 30/3 to get 10
Answer:
![Pr = 0.66](https://tex.z-dn.net/?f=Pr%20%3D%200.66)
Step-by-step explanation:
Given
See attachment for complete question
Required
![P(x \ge 5)](https://tex.z-dn.net/?f=P%28x%20%5Cge%205%29)
From the attachment, we have:
![S = 2 + 8 + 4+20+21+19+17+5+2+2](https://tex.z-dn.net/?f=S%20%3D%202%20%2B%208%20%2B%204%2B20%2B21%2B19%2B17%2B5%2B2%2B2)
---- the sample size
Next, we list out all outcomes more than or equal to 5.
i.e.
![x \ge 5](https://tex.z-dn.net/?f=x%20%5Cge%205)
5 is represented with the vertical blue rectangle (with frequency 21).
So, the other elements are to the right of frequency 21.
So, we have:
![x \ge 5 = 21+19+17+5+2+2](https://tex.z-dn.net/?f=x%20%5Cge%205%20%3D%2021%2B19%2B17%2B5%2B2%2B2)
![x \ge 5 = 66](https://tex.z-dn.net/?f=x%20%5Cge%205%20%3D%2066)
The probability is then calculated as:
![Pr = \frac{x \ge 5}{S}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7Bx%20%5Cge%205%7D%7BS%7D)
This gives
![Pr = \frac{66}{100}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B66%7D%7B100%7D)
![Pr = 0.66](https://tex.z-dn.net/?f=Pr%20%3D%200.66)
y = 2x - 3
when x = 0: y = 2(0) - 3 = -3
when x = 1: y = 2(1) - 3 = -1
when x = 2: y = 2(2) - 3 = 1
when x = 3: y = 2(3) - 3 = 3
TABLE
<u>x | y</u>
0 | -3
1 | -1
2 | 1
3 | 3
Answer:
The value of
which makes the equation true.
Step-by-step explanation:
Given the equation
![\frac{r}{-11}=-3](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B-11%7D%3D-3)
We have to find the value of r for which the equation must be true.
solving the equation
![\frac{r}{-11}=-3](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B-11%7D%3D-3)
Multiply both sides by -11
![\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)](https://tex.z-dn.net/?f=%5Cfrac%7Br%5Cleft%28-11%5Cright%29%7D%7B-11%7D%3D%5Cleft%28-3%5Cright%29%5Cleft%28-11%5Cright%29)
![r=33](https://tex.z-dn.net/?f=r%3D33)
Therefore, the value of
which makes the equation true.
<u>VERIFICATION:</u>
Putting
in the equation
![\frac{r}{-11}=-3](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B-11%7D%3D-3)
![\frac{33}{-11}=-3](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B-11%7D%3D-3)
∵ ![\frac{33}{-11}=-3](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B-11%7D%3D-3)
L.H.S = R.H.S
Therefore, the value of
which makes the equation true.
Answer:
(A) x=-28
Step-by-step explanation:
237 -6x = 405 [note that 6*(-x) is (-6x)]
-6x = 168 [subtract 237 from both sides]
x = -28 [divide both sides by (-6)]