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Brut [27]
3 years ago
6

Each of the walls in Harvey’s shed are square and have an area of 84 square feet. What is the approximate height, to the nearest

foot, of the walls in Harvey’s shed?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer:

9 ft

Step-by-step explanation:

Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls

Mathematically, the area of a square is L^2

The height of the walls is just as one of its side

Thus;

L^2 = 84

L = √(84)

L = 9.165

which to the nearest foot is 9 ft

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Which real-world scenario involves a right triangle?
Natali [406]

Answer:

A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles

Step-by-step explanation:

The 5-12-13 right triangle is a common pythagorean triple. :)

5 0
3 years ago
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Ashston is saving money to buy a new bike, He needs $120 but has only saved 60% so far. How much more money does he need to buy
gulaghasi [49]
It’s most likely half of it
8 0
3 years ago
Find the center of the circle whose equation is x² + y² = 4.
Varvara68 [4.7K]

Answer:

The center of circle is (0,0)

Step-by-step explanation:

We need to find the center of the circle of the equation x^{2}+y^{2}=4

Since, the general equation of circle is (x-h)^{2}+(y-k)^{2} = r^{2}

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is x^{2}+y^{2}=4 as,

x^{2}+y^{2}=2^{2}

Compare x^{2}+y^{2}=2^{2} with (x-h)^{2}+(y-k)^{2} = r^{2}

so, (x-0)^{2}+(y-0)^{2} = 2^{2}

Hence, the center of circle is (0,0)

4 0
2 years ago
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Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb
Maksim231197 [3]

Answer:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

s \approx \frac{R}{4}

Where R is the range defined as :

R = Max - Min = 8-0 = 8

So then the deviation would be approximately:

s \approx 4

Important 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 (ME) 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 margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (1)

And on this case we have that ME =\pm 0.25 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

We can assume that the estimator for the population deviation from the rule of thumb is \hat \sigma = s= 4

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.64, replacing into formula (2) we got:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

6 0
3 years ago
Answer the question that is in the picture please!
crimeas [40]

Answer:

55

Step-by-step explanation:

180-125= 55

6 0
3 years ago
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