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anastassius [24]
2 years ago
12

2 of 5

Mathematics
2 answers:
vlada-n [284]2 years ago
6 0
Got to answer sorry
Bakdhei
kakasveta [241]2 years ago
3 0

Step-by-step explanation:

Area of the parallelogram = 1/2 × length of parallel sides × height

= 1/2 × (9+9) ×6

= 54

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A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

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.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

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

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
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sukhopar [10]

The exponent indicates how many times the base is used as a factor.

3 0
2 years ago
HHEEEEEEEELLLLPPPPPPPP 11 POINTS
svp [43]
The answer is C........
7 0
3 years ago
PLEASSSE help will give brainliest
joja [24]

Answer:

c

Step-by-step explanation:

you divide each side by four to get a=2.5 b=2.5 and c=3

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2 years ago
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Find the value of x and the value of y
Doss [256]

Answer:

C

Step-by-step explanation:

These sides are in a ratio:

1 : 2 : \sqrt{x} 3

Therefore:

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