9514 1404 393
Answer:
A. 9 cubic units
Step-by-step explanation:
We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.
V = LWH
V = (4)(1.5)(1.5) = 9 . . . . cubic units
The volume of the prism is 9 cubic units.
Inequalities are used to represent unequal expressions
The solution to the system of inequalities is (-1,1)
<h3>How to determine the solution</h3>
The system of inequalities is given as:
y > x + 2 and
y < 2x + 3
To do this, we start by plotting the graphs of the two inequalities
y > x + 2 and y < 2x + 3
See attachment for the graph
From the attached graph, both lines meet at (-1,1)
Hence, the solution to the system of inequalities is (-1,1)
Read more about system of inequalities at:
brainly.com/question/9774970
Grams would be the best to measure a stapler ;)
Answer:
The expected profit is $10,600.
Step-by-step explanation:
The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.
In this case, there are four possible outcomes:
1) The horse win both races. The value of the horse will be $100k-$20k=$80k.
The probability of this outcome is:
![P(ww)=P(w1)*P(w2)=0.2*0.3=0.06](https://tex.z-dn.net/?f=P%28ww%29%3DP%28w1%29%2AP%28w2%29%3D0.2%2A0.3%3D0.06)
2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.
The probability is:
![P(wl)=P(w1)*(1-P(w2))=0.2*(1-0.3)=0.2*0.7=0.14](https://tex.z-dn.net/?f=P%28wl%29%3DP%28w1%29%2A%281-P%28w2%29%29%3D0.2%2A%281-0.3%29%3D0.2%2A0.7%3D0.14)
3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.
The probability is:
![P(lw)=(1-P(w1))*P(w2)=(1-0.2)*0.3=0.8*0.3=0.24](https://tex.z-dn.net/?f=P%28lw%29%3D%281-P%28w1%29%29%2AP%28w2%29%3D%281-0.2%29%2A0.3%3D0.8%2A0.3%3D0.24)
4) The horse lose both races. The value will be $10k-$20k=-$10k.
The probability is:
![P(lw)=(1-P(w1))*(1-P(w2))=(1-0.2)*(1-0.3)=0.8*0.7=0.56](https://tex.z-dn.net/?f=P%28lw%29%3D%281-P%28w1%29%29%2A%281-P%28w2%29%29%3D%281-0.2%29%2A%281-0.3%29%3D0.8%2A0.7%3D0.56)
Then, the expected profit can be calculated as:
![E(x)=\sum\limits^4_{i=1} {p_ix_i}\\\\E(x)=0.06*80,000+0.14*30,000+0.24*30,000+0.56*(-10,000)\\\\E(x)=4,800+4.200+7,200-5,600=10,600](https://tex.z-dn.net/?f=E%28x%29%3D%5Csum%5Climits%5E4_%7Bi%3D1%7D%20%7Bp_ix_i%7D%5C%5C%5C%5CE%28x%29%3D0.06%2A80%2C000%2B0.14%2A30%2C000%2B0.24%2A30%2C000%2B0.56%2A%28-10%2C000%29%5C%5C%5C%5CE%28x%29%3D4%2C800%2B4.200%2B7%2C200-5%2C600%3D10%2C600)
Step-by-step explanation:
bhai question to bahut hi tough hai yaar Kaise Banegi use to nahin Hogi yah Mujhe brand list Mar kar dena but ok