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Oksana_A [137]
3 years ago
12

A bag contains 20 marbles: 5 red, 5 blue, and 10 yellow. What is the probability that a red is randomly selected?

Mathematics
2 answers:
saul85 [17]3 years ago
8 0

There is 5 red marbles, so choosing a red marble has the probability of \frac{5}{20}.

Simplfying this give you A) \frac{1}{4}


omeli [17]3 years ago
3 0

Answer:

A) 1/4

Step-by-step explanation:

There are 5 red in a bag of 20.

5/20

=

1/4

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Which postulate or theorem proves that these two triangles are congruent?
mario62 [17]

Answer:

ASA postulate of congruency

Step-by-step explanation:

Here Given AE=ED and ∠BAE=∠CDE

Also if we clearly observe ∠AEB=∠CED

By ASA postulate those two triangles are congruent.

The ASA (Angle,Side,Angle) postulate states that if two triangles with two angles and the included angle are equal then the two triangles are congruent.

5 0
3 years ago
Read 2 more answers
Determine the pattern rule for the table and write it as an equation.​
fomenos

Answer:

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

y = mx+b

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{65-75}{2-1}\\m = -10

Putting the value of slope

y = -10x+b

Putting a pair of input-output in the equation (1,75)

75 = -10(1) +b\\75 = -10+b\\b = 75+10\\b = 85

Putting the value of b

y = -10x+85

Hence,

The rule is: y = -10x+85

6 0
3 years ago
Plssssssss do 1, 2, 3, 4, and 5
Delicious77 [7]

Answer/Explanation:

1)

  • 3 · 7 + (3 · 8n
  • 21 + 24n

2)

  • 8 · 2x + 8 · 7
  • 16x + 56

3)

  • -4 · 7r + (-4) · 7
  • -28r + (-28)
  • -28r -28

4)

  • -2 · n - 2 · (-9)
  • -2n + 18

5)

  • -6 + 9 · 8 + 9 · (-2b)
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7 0
3 years ago
Express the prime number 31 in the form 2^p − 1 where p is a prime number and as a difference of two perfect squares using the i
stellarik [79]

Answer:

31 = 2⁵ -1

31 =  16²- 15²

Step-by-step explanation:

As we know that

2¹=2

2²= 4

2³= 8

2⁴= 16

2⁵=32

So

32 = 2⁵

By subtracting 1 in bot sides

32-1 = 2⁵ -1

31 = 2⁵ -1

So

2⁵ -1 = 31

By comparing with

2^p-1

p= 5

As we know that

15²= 225

16² = 256

16²- 15² = 256-225 = 31

16²- 15²  = (16+15)(16-15)

31 =  (16+15)(16-15)

5 0
4 years ago
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