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Veseljchak [2.6K]
3 years ago
14

A jar contains 44 red marbles numbered 1 to 44 and 50 blue marbles numbered 1 to 50. A marble is drawn at random from the jar. F

ind the probability of the given event. Please enter reduced fractions.
Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's say P(R) is probability of red and P(B) is probability of blue and we have total 94 marbles (44reb +50 blue)

If A marble is drawn at random from the jar, we have 2 senarios:

  • 1: it is red
  • 2: it is blue

So, we can find:

- P(R) = 44/94 = 22/47

- P(B) = 50/94 = 25/47

Hope it will find you well

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this is a proportion, so we cross multiply
(3)(2z) = 4(z + 6)
6z = 4z + 24
6z - 4z = 24
2z = 24
z = 24/2
z = 12 <==
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Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

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3 years ago
The measure of an angle is 173°. What is the measure of its supplementary angle?
barxatty [35]

Answer:

7

Step-by-step explanation:

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Answer:

The highest common factor for both 102 and 153 is

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Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

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Step 3: Subtract the fractions:

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Step 4: Simplify (Dividing by 2):

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Step 5: Converting the fraction to mixed number:

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<u>The answer is -4 3/5</u>

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