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Anni [7]
3 years ago
5

Find the value of x in 4:x::x:16

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

\dfrac{4}{x}=\dfrac{x}{16}

On cross multiplication, we get

4\times 16=x\times x

64=x^2

Taking square root on both sides.

\pm \sqrt{64}=x

\pm 8=x

Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.

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A business owner noted the features of the 100 cars parked at the business. Here are the results:
AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The probability is  P(4 \ doors | sunroof ) =  0.40

Step-by-step explanation:

 From the question we are told that

        The number of cars packed is  n = 100

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

   This probability is mathematically represented as

               P(4 \ doors | sunroof )

Baye's Rule define this probability mathematically  as

             P(4 \ doors | sunroof ) =  \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}

   From the diagram

          P(4 \ doors \ n \ sunroof ) =  20

and     P(sunroof) =  50

So

      P(4 \ doors | sunroof ) =  \frac{20}{50}

      P(4 \ doors | sunroof ) =  0.40

       

3 0
3 years ago
The foot of an extension ladder is 10 ft from a wall. the ladder is 2 ft longer than the height that it reaches on the wall. how
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x=24, the height we are looking for
4 0
4 years ago
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