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erma4kov [3.2K]
2 years ago
6

Quadrilateral Q O B C is inscribed within circle O. Sides A C and C B are congruent. Arc A B is 220 degrees. What is the measure

of angle OAC if major arc AB measures 220 degrees? 55° 70° 110° 140°
Mathematics
2 answers:
Annette [7]2 years ago
8 0

Answer:

55

Step-by-step explanation:

Llana [10]2 years ago
6 0

Answer: A. 55

Step-by-step explanation:

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Veronica gave 20% of her money to Bill. She used 50% of the remaining money to buy books. If Veronica gave $35 to Bill, she spen
Verdich [7]

The first step to solve this problem is to compute for the total money of Veronica. You can do this by:

$35 (given to bill) / 20% (percentage of her money given to Bill) = $175

Since you already know the total money of Veronica, you can now compute how much she spent to buy books which are 50% of her remaining money after giving Bill $35.

($175 - $35) x 50% = $70

Therefore, she spent $70 for her books.

$175 – $35 – $70 = $70

Therefore, she has $70 left.

 

7 0
2 years ago
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A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is
siniylev [52]

Answer:

8

Step-by-step explanation:

Let x be the number of people

12.5x + 13 < 125

x < 8.96

Max number of x is 8

6 0
1 year ago
A small insurance company has determined that on average it receives 6 property damage claims per day. P left parenthesis X equa
kakasveta [241]

Answer:

Euclid introduced the axiomatic

Step-by-step explanation:

5 0
2 years ago
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati
amid [387]
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
f(x) = a(x - x_1)(x-x_2)(x-x_3)

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form (x_n , 0)

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say x_1 = 2 , x_2 = 3 , x_3 = 5

So required equation is
f(x) = a (x-2)(x-3)(x-5)
              = a[(x^2 - 2x - 3x + 6)(x-5)]
              = a[(x^2 - 5x+6)(x-5)]
              = a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)
              = a(x^3 - 10x^2+31x-30)
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
-5= a (0-0+0 - 30)
-5 = -30a
a =  \frac{-5}{-30} =  \frac{1}{6}
So required equation of cubic polynomial is
f(x) =  \frac{1}{6}(x^3 -10x^2+31x-30)

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
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4 0
2 years ago
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A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen
Sindrei [870]

Answer:

A - The proportion of students that like trance music but not dubstep is 10%

B - The proportion of students that like either dubstep or trance is 40%

C - The proportion of students that like neither trance music nor dubstep is 60%

D - The proportion of students that didn’t select any of the music options available on the survey was 40%

E - The proportion of students that preferred either dubstep or trance is calculated by: P(D) + P(T) - P(D and T)

F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is 60%

Step-by-step explanation:

P(D)=the students preferred dubstep=30%

P(T)=the students selected trance music=25%

P(H)=the students selected house music=20%

P(D and T)=the students liked both dubstep and trance=15%

<em><u>A - The proportion of students that like trance music but not dubstep is:</u></em>

P(T) - P(D and T)=25%-15%=10%

<u><em>B - The proportion of students that like either dubstep or trance is:</em></u>

P(D) + P(T) - P(D and T) =30%+25%-15% = 40%

<u><em>C - The proportion of students that like neither trance music nor dubstep is</em></u>

100% - (P(D) + P(T) - P(D and T) ) =60%

<u><em>D - The proportion of students that didn’t select any of the music options available on the survey was:</em></u>

100% - (P(H)+P(D) + P(T) - P(D and T) ) =40%

<u><em>F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:</em></u>

\frac{P(D and T)}{P(T)} =\frac{0.15}{0.25} =0.60

<u><em /></u>

6 0
2 years ago
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