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UNO [17]
3 years ago
13

A double rotation can ___ be written as a single rotation

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

Always

Step-by-step explanation: because I did it and got the answer right

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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
Given f(x) = 2x^2 -3x and g(x) = x+4
Alenkasestr [34]

Answer:

2x³ + 5x² - 12x

Step-by-step explanation:

The correct answer doesn't seem to be listed...

(fg)(x) = (2x² - 3x)(x + 4)

Which equals...

2x²(x) + 2x²(4) + (-3x)(x) + (-3x)(4)

Which simplifies to...

2x³ + 8x² - 3x² - 12x

     2x³ + 5x² - 12x

8 0
3 years ago
Read 2 more answers
A-2b= -10 for b plsssss helpppp
Artyom0805 [142]
A-2b=-10
b=-10-a.
Hope this is the answer
Mark as brainliest
5 0
3 years ago
What is the value of 4 x minus 7 when x = 4?
Stolb23 [73]

Answer: 9

Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since <em>x</em> is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when <em>x</em> is equal to 4 is 9.

6 0
2 years ago
Read 2 more answers
I need an answer for 1b,2
Solnce55 [7]
The x is a value you have 2 hours m for minutes and your x what u do is draw the shape write the numbers beside the shape and find the area look at the pic for a example.

8 0
3 years ago
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