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olchik [2.2K]
3 years ago
5

Given the quadratic equation below, determine which situation it could represent. x^2-4x=60

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

C.  In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.

Step-by-step explanation:

To find the total number of chars, we multiply the number of rows by the number of chairs in each row.

Let the number of rows be x.  There are 4 fewer chairs in each row than the number of rows; this gives us (x-4).  Together, this gives us

x(x-4).

We know there are 60 chairs; this gives us

x(x-4) = 60

Using the distributive property,

x(x)-4(x) = 60

x²-4x = 60

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The mean hours of sleep that students get per night is 7 hours, the standard deviation of hours of sleep is 1.7 hours, and the d
densk [106]

Answer:

c. 3.6 and 10.4 hrs

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 7, standard deviation 1.7.

For about 95% of students, nightly amount of sleep is between

7 - 2*1.7 = 7 - 3.4 = 3.6 hours

7 + 2*1.7 = 7 + 3.4 = 10.4 hours

So the correct answer is:

c. 3.6 and 10.4 hrs

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3 years ago
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
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The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

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since 4-4=0, we can take 4 out of the equation. now you have:

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hope this helps :)
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Let, the number = x
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In short, Your Answer would be 43.75

Hope this helps!
7 0
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