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AlekseyPX
3 years ago
7

Which of the following represent the same level of precision? Check all that apply.

Mathematics
2 answers:
aniked [119]3 years ago
7 0
Precision refers to the degree of significant figures, or basically how many numbers after the decimal. It <span>is the </span>number<span> of digits in a </span><span>number.
</span> 5.9 liters and 13.6 liters have the same precision (one number after the decimal).
<span>90 liters and 94 liters have the same precision (no decimals).

Correct answer: A and B, C and D</span>
loris [4]3 years ago
5 0

Answer: A) and B) have the same level of precision and C) and D) have the same level of precision.

Step-by-step explanation:

The precision of a numeric value describes the number of digits that are used to show that value.

Two numbers have the same level of precision if they have the same digits after the decimal or having the same level of accuracy. ( or have the same significant numbers after decimals)

Here, in both quantities  5.9 liter and 13.6 liter, there are one digit after the decimal.

Thus they have the same level of precision.

While  both quantities 90 liter and 94 liter are non decimal numbers, Therefore, they have the same level of precision.


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The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
Effectus [21]

Answer:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

Step-by-step explanation:

Given the quadratic equation as:

2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0

Let us put sinx=y for simplicity of the equation:

Now, the equation becomes:

2y^2+y-1=0

Now, let us try to solve the quadratic equation:

\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1

So, the solution to the given trigonometric quadratic equation is:

sinx = \dfrac{1}{2}

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sinx=-1

Let us try to find the values of x in the interval [0, 2\pi).

sin\theta can have a value equal to \frac{1}{2} in 1st and 2nd quadrant.

So, x can be

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So, the answer is:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

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