If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.

1 answer:

3 0

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

Answer:- Hence the value of x/z will be 0.0081 r respectively.

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Softa [21]

Yes it is.

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4 years ago

scoundrel [369]

Answer:

The experimental probability --> $\frac{13}{20}$

The theoretical probability --> $\frac{1}{2}$

Step-by-step explanation:

Key skills needed: Experimental vs theoretical probability, Fractions

1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)

- Theoretical probability is based on simple reasoning

- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)

2) Now with this, let's start solving:

Experimental probability ---> $\frac{heads}{total}$ --> You flipped the coin a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator.
So our experimental probability is --> $\frac{65}{100}$ --> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> $\frac{13}{20}$
Now onto theoretical probability --> $\frac{heads}{total}$ --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means --> Our theoretical probability is $\frac{1}{2}$