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Vsevolod [243]
2 years ago
15

NEED HELP ASAP. A garden in the shape of an equilateral triangle measures 6 feet on each side. An irrigation hose runs from one

vertex directly to another as shown in the picture. Find the lengty of the hose.
​

Mathematics
1 answer:
Step2247 [10]2 years ago
8 0

Answer:

Find the length of the hose = 5.2 feet

Step-by-step explanation:

The garden is divided into two similar triangle.

The hose divided one side of the triangle to two equal parts.

Side a = 6ft

Side b = 3ft

Side c = ? (length of hose)

a² = b² + c²

6² = 3² + c²

36 = 9 + c²

27 = c²

√27 = c

5.196 = c

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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

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3 years ago
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Atleast 302.5 can fit on the shelves

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Answer:

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Step-by-step explanation:

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2 years ago
4. Escribe<br> 5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.<br> 62
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3 years ago
Can someone please HELP me on how to do this
frutty [35]

Answer:

4)x= g-c

5)x =u+k

6)x = g-c

7)a=\frac{k}{u}

8)x= \frac{g}{c}

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Step-by-step explanation:

4) g= c+x

x= g-c

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x =u+k

6)g = c+x

x = g-c

7) u=\frac{k}{a} \\\\a=\frac{k}{u}

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x= \frac{g}{c}

9) 12am = 4

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x= \frac{2c+3}{3}

11) am= n+p

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3 years ago
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