Answer:
Let E denote the event of choosing a jury with 10 men and 2 women.
The sample space for selecting 12 members from the pool contains 55C12 elements.
The number of ways of selecting 10 men and 2 women is 26C10 29C2.
The probability of event E =
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
Step-by-step explanation:
see the image :
First change the 1/2 to eighths. multiply numerator and denominator by 4.now subtract 4 1/8
Answer:
We'll use the Law of Sines:
Sine (C) / c = Sine (B) / b
Sine (86) / 40 = Sine (52) / b
0.99756 / 40 = 0.78801 / b
0.024939 = .78801 / b
b = .78801 / .024939
side b = 31.5974978949 feet
Sine (42) / a = Sine (86) / 40
(0.66913 / a) = 0.024939
a = .66913 / .024939
side a = 26.8306668271 feet
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I forgot to include the graphic.
Step-by-step explanation:
Answer: 0.5
Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.
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To solve this equation for <em>p</em>, we must first isolate the term containing <em>p</em> which in this case is 14p.
Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.
14p + 14 = 21
-14 -14
On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.
Now we have the equation 14p = 7.
Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.
On the left side of the equation the 14's cancel and we are left with <em>p</em>. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.
Therefore, p = 0.5 which is the solution for our equation.
Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.
Converse means switching the hypothesis and conclusion of a conditional statement. The converse of x > y, is y > x. Therefore, the answer to your question is y > x, switching the hypothesis and conclusion of the statement.
