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Kay [80]
2 years ago
14

AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees

Mathematics
1 answer:
const2013 [10]2 years ago
7 0

Answer:

60 degres

Step-by-step explanation:

how you do it is 40 + 40 then 280 / 4

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Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In e
Sedaia [141]

The probability that, at the tip of the fourth round, each of the players has four coins is 5/192.

Given that game consists of 4 rounds and every round, four balls are placed in an urn one green, one red, and two white.

It amounts to filling in an exceedingly 4×4 matrix. Columns C₁-C₄ are random draws each round; row of every player.

Also, let \%R_{A} be the quantity of nonzero elements in R_{A}.

Let C_{1}=\left(\begin{array}{l}1\\ -1\\ 0\\ 0\end{array}\right).

Parity demands that \%R_{A} and\%R_{B} must equal 2 or 4.

Case 1: \%R_{A}=4 and \%R_B=4. There are \left(\begin{array}{l}3\\ 2\end{array}\right)=3 ways to put 2-1's in R_A, so there are 3 ways.

Case 2: \%R_{A}=2 and \%R_B=4. There are 3 ways to position the -1 in R_A, 2 ways to put the remaining -1 in R_B (just don't put it under the -1 on top of it!), and a pair of ways for one among the opposite two players to draw the green ball. (We know it's green because Bernardo drew the red one.) we are able to just double to hide the case of \%R_{A}=4,\%R_{B}=2 for a complete of 24 ways.

Case 3: \%R_A=\%R_B=2. There are 3 ways to put the -1 in R_{A}. Now, there are two cases on what happens next.

  • The 1 in R_B goes directly under the -1 inR_A. There's obviously 1 way for that to happen. Then, there are 2 ways to permute the 2 pairs of 1,-1 in R_C andR_D. (Either the 1 comes first inR_C or the 1 comes first in R_D.)
  • The 1 in R_B doesn't go directly under the -1 in R_A. There are 2 ways to put the 1, and a couple of ways to try and do the identical permutation as within the above case.

Hence, there are 3(2+2×2)=18 ways for this case. There's a grand total of 45 ways for this to happen, together with 12³ total cases. The probability we're soliciting for is thus 45/(12³)=5/192

Hence, at the top of the fourth round, each of the players has four coins probability is 5/192.

Learn more about probability and combination is brainly.com/question/3435109

#SPJ4

3 0
2 years ago
Read 2 more answers
trevor bought a large container of 36 pretzel snack bags for $14.04 what is the cost of each snack bag
sweet [91]

Answer:

$0.39

Step-by-step explanation:

You divide 36 and $14.04 to get the answer, which is $0.39.

3 0
3 years ago
Read 2 more answers
Please I need help for number 6 for brainlest and answer ! And show your work on how you got it
solmaris [256]

Answer:

Step-by-step explanation:

inverse variation. if value of x increase, y value decrease.

For example,

If x=10;   y =1/10 = 0.1

If x =100 ;  y = 1/100 = 0.01

8 0
3 years ago
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Mike had 119 dollars to spend on 6 books. after buying them he had 11 dollars. how much did each book cost ?
deff fn [24]
18 $ Hope I helped
This is how I came to the result..
119-11= 108
108 : 6 = 18 $
8 0
3 years ago
Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5
DENIUS [597]

y=mx+b\\y=x-2

<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>

<em>Find if both graphs are parallel, that means the equation must be false.</em>

<em />x-2=-\frac{5}{2}x+5<em />

<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>

<em />2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2<em />

<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>

8 0
3 years ago
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