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chubhunter [2.5K]
4 years ago
8

X2+5x=3x+11 and solve by completing the square

Mathematics
1 answer:
Butoxors [25]4 years ago
7 0
x^2+5x=3x+11\\
x^2+2x-11=0\\
x^2+2x+1-12=0\\
(x+1)^2=12\\
x+1=\sqrt{12} \vee x+1=-\sqrt{12}\\
x=-1+2\sqrt3 \vee x=-1-2\sqrt3
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For any set of n measurements, the fraction included in the interval y − ks to y + ks is at least 1 − 1 k2 . This result is know
djverab [1.8K]

Answer:

The interval [2.5, 12.5]

Step-by-step explanation:

<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least  </em>

100(1-\frac{1}{k ^2 })\%

of the data will lie within k standard deviations of the mean.

We need then to find a k greater or equal than 1 such that

100(1-\frac{1}{k ^2 })\%= 75\%

or the equivalent equation

(1-\frac{1}{k ^2 })= 0.75

Finding the value of k

(1-\frac{1}{k ^2 })=0.75\Rightarrow \frac{1}{k^2}=0.25\Rightarrow k^2=\frac{1}{0.25}\Rightarrow k^2=4\Rightarrow k=2

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval

[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]

6 0
3 years ago
There is a bag filled with 5 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
liberstina [14]
The probability is 60% that you will get the same colour twice because one colour has more marbles that the other coloured marble.
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3 years ago
A freight train and an express train leave towns 390 miles apart at the same time, traveling toward one another. The freight tra
storchak [24]
One train was going 80 miles the other was going 50.
7 0
3 years ago
Read 2 more answers
Help me asap i really need this
asambeis [7]

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

8 0
4 years ago
Fred's sporting goods is providing a $5 discount on a bicycle that costs $80. What is the percentage of the discount?
Sonja [21]

Answer:

6.25%

Step-by-step explanation:

discount/ normal price

5/80

And we are trying to find out the percentage, so

x/100

Set the 2 equations equal to each other

5/80=x/100

Cross multiply

80x=500

Divide by 80 on both sides

x= 6.25

8 0
3 years ago
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