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Vlad [161]
2 years ago
10

Find the next number in the sequence 10,37,82,145,226

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
3 0

\begin{array}{l|lll} 10&&\\ &+27\to &3^2\cdot 3\\ 37&&\\ &+45\to &3^2\cdot 5\\ 82&&\\ &+63\to &3^2\cdot 7\\ 145&&\\ &+81\to &3^2\cdot 9\\ 226&&\\ &+99\to &3^2\cdot 11\\ \boxed{325}&& \end{array}

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Luda [366]

Answer:

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Step-by-step explanation:

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How do you round 699 to the nearest tenth.
Nadusha1986 [10]
700 because the 9 in the tenth place is larger than 5
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If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?
ruslelena [56]

Answer:

10

Step-by-step explanation:

<u><em>y = -4 </em></u>

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<em><u /></em>

8 0
3 years ago
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

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

By the Central Limit Theorem

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

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
2 years ago
Four cousins were born at two-year intervals. The sum of their ages is 36. How old are they?
UNO [17]
They are 6, 8, 10, 12 years old.

all of those added is 36 and two-year intervals translates to 2 years apart per cousin.
7 0
3 years ago
Read 2 more answers
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