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3 years ago

56 less than the quotient of a number and 4 is -52. What is the value of the unknown number?

Mathematics

1 answer:

irinina [24]3 years ago

5 0

Answer:

Step-by-step explanation:

The quotient of a number (x) and 4 is written x/4. 56 less than that is ...

(x/4) -56

The problem statement tells us the value of this is -52, so we have ...

(x/4) -56 = -52

Add 56 to both sides of this equation, and you get ...

x/4 = 4

Multiply both sides of this equation by 4 and you get ...

x = 16

The value of the unknown number is 16.

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denis-greek [22]

Answer:

$a^2+b^2-c^2+2ab$

Step-by-step explanation:

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Lynna [10]

A normal distribution with a mean of 74 and a standard deviation of 7.
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3 years ago

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Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently

garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

$\small \sum_{i = 1}^{k} L_i= 2\pi$

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

$\small \sum_{i = 1}^{k} C_i.l = 2\pi$

where C(i) is a constant coefficient obviously between 0 and 1.

$\small \sum_{i = 1}^{k} C_i= 2\pi/l$

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

$\small L_{Exp} = \frac{2\pi}{k}$

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2 years ago

George and Cameron went on a bycicle trip. They took a bus to their starting point, and then biked the rest. They traveled 325 k

pashok25 [27]

Answer:

Step-by-step explanation:

Let the distance travelled by bus be x and the distance travelled be bike be (x+75)

Finally

x + (x+75) = 325

2x = 250

x= 125

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3 years ago