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lisov135 [29]
2 years ago
5

A square garden plot has an area of 24 ft2.

Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0
The area of a square is equal to the side squared.
s^2=A

We can plug in 24 for A and then take the square root of each side to find s.
s^2=24 \\ s=\sqrt{24}

We can simplify √24.
The prime factorization of 24 is 2×2×2×3.
Since we have 2×2 inside the radical we can simplify to have 2 outside the radical.
\sqrt{24}=\sqrt{4\times6}=\boxed{2\sqrt{6}\ ft}

We can then use a calculator to find an approximate decimal value for 2√6.
(You could technically calculate it by hand using the Babylonian method, I don't think you're expected to do that, though)
2\sqrt{6}\approx\boxed{4.9\ ft}


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Answer:

A. The graphs are the same.

Step-by-step explanation:

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A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa
Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

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  • z is the critical value.
  • n is the sample size.

In this problem, the parameters are:

z = 2.575, n = 2000, \pi = 0.77

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942

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More can be learned about the z-distribution at brainly.com/question/25890103

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The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
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The ratio 9:7 gives you following statement:

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Then the probability that Carl will lose is

Pr(\text{Carl will lose})=\dfrac{7}{16}.

Answer: Pr(\text{Carl will lose})=\dfrac{7}{16}.


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