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3 years ago

The base of 14-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

I wish i could help you

neonofarm [45]3 years ago

5 0

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

$a^{2}+6^{2}=14^{2}$

$a^{2}+36=196$

Subtract 36 from both sides:

$a^{2}=160$

Square 160 to remove the exponent on "a":

$a=\sqrt{160}$

$a≈ 12.65$

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A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the un

ss7ja [257]

Answer:

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

Since we don't have prior estimation for the population proportion we can use the value $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.112}{1.64})^2}=53.60$

And rounded up we have that n=54

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

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 $ME =\pm 0.112$ 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)

Since we don't have prior estimation for the population proportion we can use the value $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.112}{1.64})^2}=53.60$

And rounded up we have that n=54

3 0

3 years ago

Which choice provides the best evidence for the

svlad2 [7]

The Choice A is the best answer according to the passage. The previous question asks what Lincoln believes is the result of breaking the laws, with the answer being that such actions undermine a nation’s values. This is supported in lines 9-12: “let every man remember that to violate the law, is to trample on the blood of his father, and to tear the character of his own, and his children’s liberty.”

According to the statement

we have to find the correct statement with the help of the given passage.

So, For this purpose, we know that the

According to the passage,

Choices B, C, and D are incorrect because the lines cited do not support the answer to the previous question regarding what Lincoln contends happens when citizens break the law, instead explaining exactly which groups Lincoln believes should vow to follow the laws (choice B), illustrating how Lincoln believes unjust laws should be dealt with (choice C), and stating Lincoln’s belief that no law is ever improved through mob rule (choice D).

So, The Choice A is the best answer according to the passage. The previous question asks what Lincoln believes is the result of breaking the laws, with the answer being that such actions undermine a nation’s values. This is supported in lines 9-12: “let every man remember that to violate the law, is to trample on the blood of his father, and to tear the character of his own, and his children’s liberty.”

Learn more about passage here

brainly.com/question/12555695

#SPJ4

6 0

1 year ago

(MIDDLE SCHOOL MATH) please help!

finlep [7]

52 x 1.05 = $54.60
+ $4.37 (taxes) = $58.97
3 $20 bills is $60 so $60 - $58.97 = $1.03 (his change)

6 0

3 years ago

Read 2 more answers

Evaluate the numerical expression.<br>9x [(26-4)-(4+7)]<br>The value of the expression is