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k0ka [10]
3 years ago
7

A bag contains 6 red and 10 black marbles. If you pick a marble, record its color and return it to the bag 200 times, how many t

imes can you expect to pick a black marble?
Mathematics
2 answers:
katrin [286]3 years ago
4 0
125.
16 (10 and 6) divided by 100 is 6.25. Times two is 12.5. (For 200) times 10 for 10 marbles.
Sladkaya [172]3 years ago
3 0

Answer:

10

Step-by-step explanation:

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In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
jarptica [38.1K]

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

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- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

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∵ y = 1.5(6)

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The values of x and y are x = 6 and y = 9

5 0
2 years ago
Identify the reference angle ∅ for each given angle, 0.
frutty [35]

Answer:

When Ø = 300°, Ø = 60 degrees.

When Ø = 225°, Ø = 45 degrees.

When Ø = 480°, Ø = 60 degrees.

When Ø = -210°, Ø = 30 degrees.

Step-by-step explanation:

Reference angles are in Quadrant I (0° to 90°).

1. Find 300° (Quadrant IV) on the unit circle. Since it's in Quadrant IV, you use 360 - 300 = 60° to get your answer.

2. Find 225° (Quadrant III) on the unit circle. Since it's in Quadrant III, you use 225 - 180 = 45° to get your answer.

3. The angle 480° is not on the unit circle. To find its corresponding angle between 0° and 360°, use 480 - 360 = 120°. Then, find 120° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 120 = 60° to get your answer.

4. The angle -210° is not on the unit circle. To find its corresponding angle between 0° and 360°, use -210 + 360 = 150°. Then, find 150° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 150 = 30° to get your answer.

5 0
3 years ago
Karen deposits $300 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in th
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Answer: $60

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Given that log, xy = 2 + 3 log, x - log, y, express y in terms of x.<br>​
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Answer:

the answer could be y=10+×

Step-by-step explanation:

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6 0
2 years ago
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