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vovangra [49]
1 year ago
14

If the probability of an event is what is the probability of the event not happening?20/69Write your answer as a simplified frac

tion.
Mathematics
1 answer:
Vilka [71]1 year ago
6 0

If an event has a probability P of happening, then there is a probability of (1-P) of the event not happening.

In this case the probability of the event is p=20/69.

Then, the probability of the event not happening is:

P(\text{not happening})=1-p=1-\frac{20}{69}=\frac{69-20}{69}=\frac{49}{69}

Answer: the probability of the event not happening is 49/69.

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What is the solution to 4+5e^x+2 =11
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Answer:

x =0

Step-by-step explanation:

4+5e^x+2 =11

Combine like terms

6 + 5e^x =11

Subtract 6 from each side

6-6 + 5e^x =11-6

5 e^x = 5

Divide by 5 on each side

5 e^x /5 = 5/5

e^x = 1

Take the natural log on each side

ln (e^x) = ln(1)

x = ln(1)

x =0

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In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side
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Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.
horrorfan [7]
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
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A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
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1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
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Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916 

0.916 round to nearest hundredths is 0.92
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