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3 years ago

What are the first 3 digits of the square root of Pi?

2 answers:

7 0

By definition, the pi number is given by:
pi = 3.141592654
Taking the square root of pi we have:
root (pi) = root (3.141592654)
root (pi) = 1.772453851
Then, the first three digits are given by:
1.77
Answer:
the first 3 digits of the square root of Pi are:
1.77

Tanya [424]3 years ago

6 0

Hello!!

The square root of pi 3.14 is:

$1.77245385$

I am sure you can figure out the main point!

Good luck :)

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pishuonlain [190]

Step-by-step explanation:

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6 0

3 years ago

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Free_Kalibri [48]

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3 years ago

Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.

Rus_ich [418]

The simple/ common sense method:
The typical lay out of a quadratic equation is ax^2+bx+c
'c' represents where the line crosses the 'y' axis.
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change.
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher.
9+10=19,
therefore c=19.
The new equation is: y=x^2+19 

The most complicated/thorough method:
This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x).
Use the -b/2a formula to find the 'x' coordinate of your vertex..
x= -0/2*1, your x coordinate is therefore 0.
substitute your x coordinate into your equation to find your y coordinate..
y= 0^2+0+9
y=9.
Your coordinates of your vertex f(x) are therefore (0,9) 
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x) are therefore:
(0, 19) 
substitute your vertex's y coordinate into f(x)
19=x^2+c
19=0+c
c=19
therefore g(x)=x^2+19

7 0

3 years ago

Read 2 more answers

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago

In which figure is point G an orthocenter?

PIT_PIT [208]

Answer:

The second/below one is where point G in an orthocenter

Step-by-step explanation:

3 0

3 years ago