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2 years ago

Is almost always better to cite exact numbers rather than to round statistics up or down true or false

1 answer:

4 0

When scientists make a measurement or calculate some quantity from their data, they generally assume that some exact or "true value" exists based on how they define what is being measured (or calculated). Scientists reporting their results usually specify a range of values that they expect this "true value" to fall within. The most common way to show the range of values is:

measurement = best estimate ± uncertainty

Experimental uncertainties should be rounded to one significant figure. Experimental uncertainties are, by nature, inexact. Uncertainties are almost always quoted to one significant digit (example: ±0.05 s). If the uncertainty starts with a one, some scientists quote the uncertainty to two significant digits

Estimating the uncertainty in a single measurement requires judgment on the part of the experimenter.

For more information on statistics click on the link below:

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Point P is located at (-3,5)

Naya [18.7K]

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

5 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST

Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

$b > 3\frac{2}{15}\\\\$

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality $2 \frac{3}{5} < b - \frac{8}{15}\\\\$ is the same as $\frac{13}{5} < b - \frac{8}{15}\\\\$

---------------------

Let's multiply both sides by 15 to clear out the fractions

$\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\$

---------------------

Now isolate the variable b

$39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\$

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

7 0

3 years ago

What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over

soldi70 [24.7K]

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

<h3>What is the range of the function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

$y = \sin^{-1}x$

The above function can be written as,

$\sin y = x$

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

$-1\leq x\leq1$

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

$-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}$