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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Answer:

$\frac{9\sqrt{3} }{2}$

Step-by-step explanation:

since the triangle is a 30-60-90 triangle:

√3 : 2 = x : 9

=> 2x = 9 √3

=> x = $\frac{9\sqrt{3} }{2}$

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System of equations- does this have one solution, many solutions or no solution

Alla [95]

Answer:

One solution

Step-by-step explanation:

Let's rewrite y = 6 - 3x as y = -3x + 6

Looking at these two equations, we can see they share a y-intercept

Making our solution 6

We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions

We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)

Best of luck

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3 years ago

50 POINTS AVAILABLE!!

tester [92]

Answer:

they need to be in ratios format

Step-by-step explanation:

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3 years ago

Find the measure of side b.

malfutka [58]

I think it’s 236.8 correct me if I’m wrong?

7 0

3 years ago

Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi

slavikrds [6]

Answer:

Step-by-step explanation:

Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula

$\bf n=\frac{Z^2S^2}{e^2}$

where

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

Z = 3.023

Replacing the values in our formula

$\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21$

So the size of the sample should be at least 21.

7 0

3 years ago

The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor

nadya68 [22]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

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".

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: