Answer:
3 inches by 4 inches
Step-by-step explanation:
This means that we need to convert down to a small diagram by using the conversion 1 inch = 25 yards. Divide each dimension by 25 yards, and then multiply by 1 inch to get 3 inches by 4 inches.
Answer:The three dimensional diagonal of a rectangular prism is:
d^2=x^2+y^2+z^2, and since this is a cube, x=y=z=s, and we are told that s=3
d^2=3s^2 and s=3
d^2=3(3^2)
d^2=3(9)
d^2=27
d=√27
3rd place =1000
2nd place =2000
1st place =8000
Total= 11,000
<em>Greetings from Brasil...</em>
X = 2 liter container
Y = 3 liter container
the total of containers are:
X + Y = 400
the capacity of the containers is
2X + 3Y = 1100
Assembling the equation system
2X + 3Y = 1100
X + Y = 400 x(-2)
2X + 3Y = 1100
<u>-2X -2Y = - 800 </u>
<h3>Y = 300</h3>
X + Y = 400 so
X + 300 = 400
X = 400 - 300
<h3>X = 100</h3>
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<em>BR:</em>
<em>Observe que:</em>
<em>1 vasilha de 2L = 1 × 2 = 2L</em>
<em>2 vasilhas de 2L = 2 × 2 = 4L</em>
<em>3 vasilhas de 2L = 3 × 2 = 6L</em>
<em>X vasilhas de 2L = X × 2 = 2X litros</em>
<em>.....</em>
<em>1 vasilha de 3L = 1 × 3 = 2L</em>
<em>2 vasilhas de 3L = 2 × 3 = 4L</em>
<em>3 vasilhas de 3L = 3 × 3 = 6L</em>
<em>X vasilhas de 3L = X × 3 = 3X litros</em>
<em>Logo 2X + 3Y = 1100</em>
<em>Existem X e Y vasilhas que num total sao 400, logo</em>
<em>X + Y = 400</em>
Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:
Then,
(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that:
The value of P (P) is:
Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:
Thus, the probability that a person who passes through the system is without any security problems is approximately 1.