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Minchanka [31]
3 years ago
5

An 8 foot long piece of 2 by 4 wood is used to prop up a fence if the 2 by 4 makes 30 degree angle with the ground how high abov

e the ground is the point where the 2 by 4 contacts the fence

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Answer:

4

Step-by-step explanation:

H (height the 2x4 contact the fence)

sin 30° = H / 8

1 /2 = H / 8

H = 1/2 * 8 = 4

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Find the value of (-4)(6)(-7)<br> -178<br> 168<br> 178<br> -168
kakasveta [241]

<u><em>Answer:</em></u>

168

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

+ve * +ve = +ve                     -ve * -ve = +ve

+ve * -ve = -ve                       -ve * +ve = +ve

<u>Now, for the given problem we have:</u>

(-4) * (6) * (-7)

<u>Let's take the first two terms:</u>

(-4) * (6)

Based on the above rules, the product will be negative

<u>Therefore, </u>

(-4) * (6) = -24

<u>Now, the expression became:</u>

(-24) * (-7)

Again, based on the above rule, the product here will be positive

<u>Therefore,</u>

(-24) * (-7) = 168

Hope this helps :)

4 0
3 years ago
Read 2 more answers
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

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".

\bar X=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
a school is holding a school wide election to choose a school color. 5/8 of the votes were blue 5/9 of the remaining votes were
lisov135 [29]

Answer:

is that the full question?

Step-by-step explanation:

8 0
3 years ago
HeLP WHO EVER IS CORRECT GETS BRAINLY
nevsk [136]

Answer: c.) 4

Step-by-step explanation:

y = 4

Plug in 4 for y.

6(4 + 2) + 4 = 40

24 + 12 + 4 = 40

40 = 40

5 0
2 years ago
Read 2 more answers
Help me with B please!
nikitadnepr [17]

Answer:

Step-by-step explanation:

Even though the teams appear from the mean to be similar in their winnings, they are not.  This is mostly because the Tigers have a greater range (difference between the highest and lowest values) than do the Foxes.  The Tigers' range is 16 - 1 = 15 while the Foxes' range is 6 - 3 = 3.

In other words, using the mean to determine how closely matched these teams are is worthless.

4 0
3 years ago
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