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netineya [11]
3 years ago
6

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

e numbers facing down. The probability of picking a card with an even number is
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

3/10

Step-by-step explanation:

<em>Step 1 : Write the formula of calculating probability</em>

Probability = Number of favourable outcomes/Number of total outcomes

<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>

  • Total outcomes are the total cards that are placed on the table = 10 cards
  • The favourable outcomes are the number of cards that have an even number on them.

       12, 14, 18 = 3 cards

<em>Step 3 : Substitute the values in the formula</em>

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

!!

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Agata [3.3K]

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

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3 years ago
Natalie saved $20 when she purchased a new phone.The phone originally cost $125.What percent savings did Natalie receive on the
maw [93]

  x         20
------ = -------
100      125

(The percentage x saved is equal to 20 out of 120) Cross multiply:
125x = 20(100)
125x = 2000
Divide both sides by 125
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3 0
3 years ago
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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Bad White [126]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

___

If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
3 years ago
(201)3 is equivalente to: (11)10; (10010)2; (11)16; (23)8
IRISSAK [1]
Convert to base 10
2×3² + 0×3¹ + 1×3^0 = 18 + 0 +1 = 19 base 10
so convert 19 to base 8
19 base 10 = 23 base 8
D is your answer
8 0
3 years ago
PLEASE HELP! THANK YOU!!!
Ronch [10]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3(x - 2) = 12

x = 6

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6(x + 5) = 54

x = 4

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3x  +  5 = 32

x = 9

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5(x + 7) = 45

x = 2

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7x + 6 = 41

x = 5

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2(x + 7) = 29

x = 7.5

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4(x + 3) = 30

x = 4.5

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7 0
3 years ago
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