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Pavel [41]
3 years ago
11

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains

3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.
What is the probability that Tara will select a blue marble from each bag?
Mathematics
2 answers:
ANTONII [103]3 years ago
6 0

Answer:

2/27

Step-by-step explanation:2/27

Anna71 [15]3 years ago
5 0

Answer:

The first bag,  1 in 3 and the second, 2 in 9.

Step-by-step explanation:

If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!

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Answer:

3a) The value of  x = 56

3b) The measure of ∠ H T M = 90°

3c) The radius of the circle = 53

Step-by-step explanation:

3a) ∵ A F is a tangent to the circle O at point F

∵ Secant AH intersects circle O at point T

∴ (A F)² = (A T)(A H)

∴ 7( x + 7) = (21)² ⇒ ÷ 7

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3b) ∵ HM is a diameter

∴ The measure of the arc HM = 180° ⇒ semi-circle

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∴ m ∠ H T M = half the measure of arc HM

∴ m ∠ H T M = 180° ÷ 2 = 90°

3c) ∵ Δ H T M is a right angle triangle at T

∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem

∴ (H M)² = (90)² + (56)²

∴ (H M)² = 11236

∴ HM = \sqrt{11236} = 106

∴ OM = 106 ÷ 2 = 53

∵ OM is the radius of the circle O

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