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Alex
3 years ago
15

1. A bag contains the letters of the word “PROBABILITY”.

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.

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Joe has four notes in his wallet. The total value of the notes is $75. Which type of note is not in Joe's wallet?
Sergio039 [100]

Answer:

$ 20

Step-by-step explanation:

Given that,

No. of notes Joe has = 4

The total value of the notes = $ 75

From the given notes, 4 notes that can make the sum of 75 would be

$ 50 note + $ 10 + $ 10 note + $ 5

= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1

= $ 75  

Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.

6 0
3 years ago
The measure of the perimeter of a triangle is 24x - 2. It is known that two of the sides of the triangle have measures of 10x +
stealth61 [152]

Answer: 6x-3

Step-by-step explanation: Say that the third side is y. The equation for the perimiter is side 1+ side 2+ side 3= perimeter which if you intput what we have turns out like (10x+2) +(8x-1)+y=24x-2. If you add 10x+2 and 8x-1 you get 18x+1. We can update the previous equation making it (18x+1)+y=24x-2. Since your trying to find y, you isloate it by subtracting (18x+1) from both sides. This leaves us with y=6x-3 as the length of thr missing side.

7 0
3 years ago
-2/7x=4/7 how to check your answer
Ymorist [56]

Answer:

1)Evaluate the left-hand side expression at the given value to get a number.

2)Evaluate the right-hand side expression at the given value to get a number.

3)See if the numbers match.

Sorry if wrong

7 0
3 years ago
Find the x and y intercepts of -7xt6y=5
iren2701 [21]
-7x + 6y =5
x intercept. y=0
-7(x) + 6(0)=5
x=-5/7

y intercept, x=0
-7(0)+6(y) =5
y=5/6
3 0
3 years ago
What is the factored form of the expression 9x2 + 6x + 1?
DanielleElmas [232]

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx +  b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = \sqrt{9} = 3

b² = 1 ⇒ b = \sqrt{1} = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

4 0
3 years ago
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