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wariber [46]
2 years ago
8

#8 Tessa has a plan for a set of stairs made of concrete, as shown. Each stair is 1 point the same width and height and is talle

r than the previous one by the same amount. What is the volume of concrete needed for the set of stairs?
Picture below:​

Mathematics
1 answer:
Afina-wow [57]2 years ago
6 0

Answer: 2.43m^3

Step-by-step explanation:

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One sixth of fifty four
marissa [1.9K]
1/6 x 54 = 9
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2 years ago
Yes or no please, question in picture
Nataly [62]

Answer:

yes

Step-by-step explanation:

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3 years ago
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If 12 oranges cost $4.20, what is the unit price?
Tcecarenko [31]

Answer:

50.4

Step-by-step explanation:

4.20x12

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3 years ago
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Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

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

By the Central Limit Theorem

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

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

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

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0
3 years ago
Read 2 more answers
Help me please!
masya89 [10]

Answer:

951.15 ltr

Step-by-step explanation:

first you convert inch into cm just to make things easier

1 inch = 2.54cm

so,

radius(r)= 24 inch = 24×2.54= 60.96cm≈ 61 cm

then calculate the volume of the sphere

i.e.

V = 4/3(πr³)= 4/3×22/7× 61³= 951158.47 cm³

Now that we have volume

we know that,

1 ltr = 1000cm³

sooo,

  • x ltr= 951158.47÷1000= 951. 15 ltr

8 0
3 years ago
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