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k0ka [10]
3 years ago
9

I need helpppppppppppppppppppppppppppppp

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

25 rooms

Step-by-step explanation:

Hotel rooms = 3 + 5 + 8 +  6 + 2  +  1 = 25

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consider the graph of the following quadratic equation. the equation of the quadratic function represented by the graph is y = a
dmitriy555 [2]
For x values 1 unit either side of the vertex, the value of y is 2 more than it is at the vertex.
  a = 2

_____
More formally, The graph appears to go through the point (4, 1). Substituting these values for (x, y) in the equation, we get
  1 = a(4-3)² -1 . . . . substitute for x and y
  2 = a . . . . . . . . . . add 1 and simplify
7 0
3 years ago
Estimate the square root to the nearest integer. -51
marissa [1.9K]

Answer:

49

Step-by-step explanation:

6 0
3 years ago
Data from the Centers for Disease Control and Prevention indicate that weights of American adults in 2005 had a mean of 167 poun
sesenic [268]

Answer:

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

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 sums the theorem can also be used, with mean n*\mu and standard deviation s = \sqrt{n}*\sigma

In this problem, we have that:

n = 47, \mu = 47*167 = 7849, s = \sqrt{47}*35 = 240

Use this information to estimate the probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

This is 1 subtracted by the pvalue of Z when X = 7500. So

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

By the Central Limit Theorem

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

Z = \frac{7500 - 7849}{240}

Z = -1.45

Z = -1.45 has a pvalue of 0.0735

1 - 0.0735 = 0.9265

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

5 0
3 years ago
Please help me
morpeh [17]

Answer:

No, because the cone has a smaller volume than the ice cream

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

Volume of scoop: 113.1 cm^2

V=πr2h

3=π·2.52·10

3≈65.44985

Volume of cone: 65.45 cm^2

65.45 < 113.1

6 0
3 years ago
What is the lowest terms of 12/18?
Alja [10]
2/3 is the answer. You divide both numbers by 6 and you will get your lowest factor
8 0
3 years ago
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