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Natasha2012 [34]
3 years ago
6

Someone help me please :(

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

9514 1404 393

Answer:

  A.  ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
Please help me
elena55 [62]

Answer:

a)

<u>The equation would be:</u>

  • 3x + 2 = 7*2

b)

Step 1. <u>Subtract 2 from both sides:</u>

  • 3x = 6*2

Step 2. <u>Divide both sides by 3:</u>

  • 3x/3 = 6*2/3
  • x = 2*2

c)

  • A single box weights x= 4 units.  
6 0
3 years ago
Read 2 more answers
A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one
ioda

Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0
3 years ago
1. A line passes through the points (–4, –6) and (8, 4) a. Use point-slope form to write the equation of the line that is perpen
Ainat [17]

Answer:

I just know the formula for slope is y2-y1/x2-x1

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP IM STUCK. <br><br> List the factors of the third term: 6n^3-n^2+5n/8-11
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Answer:

The factors for 5 are going to be 1 and 5 or their negative counterparts, since no other whole number within the range of 5 can be multiplied to get 5.

Make sense?

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3 years ago
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