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elixir [45]
2 years ago
8

Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.

Mathematics
1 answer:
Anna35 [415]2 years ago
6 0
We are asked to solve for the value of x given that the center is the point C and the ∠ACB is 12x-7 while the given arc is equal to 10x-7. To solve this problem, we need to remember that the summation of angle ACB and angle ADB is equal to 360°. Hence, the solution is shown below:
∠ACB + ∠ADB = 360°
12X - 7 + 10X -7 = 360 , combine same term such as:
22x - 14 = 360 , transpose -14 to the right side such as:
22x = 360 + 14
22x = 374 , divide both sides bu 22
22x/ 22 = 374 / 22
x = 17

The answer to this problem is 17 and this is the value of x.

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romanna [79]

Given P(E) = 0.24 and P(F ∩ E) = 0.17

It says to find conditional probability of F given E has occurred.

We know the formula of conditional probability is given by :-

P(F ║ E) = \frac{P(E\;and\; F)}{P(E)}

P(F ║ E) = \frac{0.17}{0.24} = 0.708333

P(F ║ E) = 0.71

Hence, option C i.e. 0.71 is the final answer.

7 0
3 years ago
The future value of a certain money market account with a fixed interest rate of
rosijanka [135]

Answer:

D = $8637.45

Step-by-step explanation:

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Time (t) = 15 years

N = 12 (since its compounded monthly)

Compound interest (A) = P(1 + r/n)^nt

A = 5000(1 + 0.0365 / 12)^15*12

A = 5000(1 + 0.00304)¹⁸⁰

A = 5000(1.00304)¹⁸⁰

A = 5000 * 1.7269

A = 8634.86

The investment would worth $8634.86

Note: the final answer may vary slightly from the answer in the options due to ± from approximation

3 0
2 years ago
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Answer:

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Hope this helped :)

Have a good one

5 0
2 years ago
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Furkat [3]

Answer:

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Step-by-step explanation:

8 0
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aksik [14]

Answer:

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Step-by-step explanation:

3/10 = .3

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3/9=.333333

sandy then jeff then kim

6 0
2 years ago
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