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rusak2 [61]
2 years ago
7

What is the measure of arc CD?

Mathematics
1 answer:
CaHeK987 [17]2 years ago
7 0

Option C:

The measure of arc CD is 40°.

Solution:

Given data:

m∠X = 11° and m(arc AB) = 18°

To find the measure of arc CD:

We know that,

<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>

$m \angle X =\frac{1}{2}({arc  \ CD}-{arc}  \ AB)

$ 11^\circ =\frac{1}{2}({arc}  \ CD-{18^\circ})

Multiply by 2 on both sides.

22° = arc CD - 18°

Add 18° from both sides.

40° = arc CD

Switch the sides.

arc CD = 40°

Hence the measure of arc CD is 40°.

Option B is the correct answer.

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2 years ago
In a carnival​ game, the player selects a ball one at a​ time, without​ replacement, from an urn containing twotwo purplepurple
dezoksy [38]
<span>The urn contains 2 purple balls and 4 white balls. The player pay $4 for start the game and get $1.5 for every ball drawn until one purple ball is drawn. The maximal revenue would be $7.5 when 4 white balls and 1 purple balls are drawn.
If the purple ball is p and white ball is w, t</span>he possible sample space of drawings are {p, wp, wwp, wwwp, wwwwp}

<span>1. Write down the probability distribution for the player earning

The player earning </span>for each event depends on the number of balls drawn subtracted the ticket price.<span>
p= 2/6
The player earnings would be: 1*$1.5 -$4= - $2.5
wp= (4*2)/(6*5) = 4/15
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wwwp= (4*3*2*2)/(6*5*4*3*2)= 2/15 
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The player earnings would be: 5*$1.5 -$4=  $3.5

2. Find its expected value

The expected value would be:
chance of event * earning 
You need to combine the 5 possible outcomes from the number 1 to get the total expected value.

Total expected value= (1/3 * - 2.5)+ (4/15*-1) + (1/5*0.5) + (2/15 *2) + ( 1/15 *3.5)= 
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This game basically a rip off.
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2 years ago
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Answer:

18 own 72 rent and its 80 perecnt

Step-by-step explanation:

brainliest

please

5 0
2 years ago
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Nutka1998 [239]
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⇒15 Cookie to 40 brownies can be written as 15:40

⇒15:40 is the ratio we have to simplify

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