Answer:
Between 7 and 14
Step-by-step explanation:
Answer:
(x^2+y)x^3 y^5
Step-by-step explanation:
(x^2 + y)x^4 y^3 / x y^2
(x^2 + y)x^4 - 1 y^3 * y^2
(x^2 + 7)x^3 y^3 * y^2
(x^2 + y)x^3 y^3 +^2
(x^2 + y)x^3 y^5
<u>Answer:</u>
○ ![x = -7](https://tex.z-dn.net/?f=x%20%3D%20-7)
<u>Step-by-step explanation:</u>
Given the equation:
,
to solve for
, we have to rearrange the equation to make
its subject.
![10(x + 10) - 4 = 11 - 5(2x + 11)](https://tex.z-dn.net/?f=10%28x%20%2B%2010%29%20-%204%20%3D%2011%20-%205%282x%20%2B%2011%29)
⇒
[expand brackets]
⇒ ![10x + 96 = -44 - 10x](https://tex.z-dn.net/?f=10x%20%2B%2096%20%3D%20-44%20-%2010x)
⇒
[add
to both sides]
⇒ ![20x + 96 = -44](https://tex.z-dn.net/?f=20x%20%2B%2096%20%3D%20-44)
⇒
[subtract 96 from both sides]
⇒ ![20x = -140](https://tex.z-dn.net/?f=20x%20%3D%20-140)
⇒
[divide both sides by 20]
⇒ ![x = \bf-7](https://tex.z-dn.net/?f=x%20%3D%20%5Cbf-7)
Answer: Last Option
![P=0.4125](https://tex.z-dn.net/?f=P%3D0.4125)
Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
![A = lw](https://tex.z-dn.net/?f=A%20%3D%20lw)
Where l is the length and w is the width.
In this case we have to:
![l = 3.3](https://tex.z-dn.net/?f=l%20%3D%203.3)
![w = 0.125](https://tex.z-dn.net/?f=w%20%3D%200.125)
So
![P = A = 3.3 * 0.125](https://tex.z-dn.net/?f=P%20%3D%20A%20%3D%203.3%20%2A%200.125)
![P=0.4125](https://tex.z-dn.net/?f=P%3D0.4125)