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sineoko [7]
3 years ago
6

HELP PLS!! ASAP I need it

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0
No idea so sorry. :(
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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
Read 2 more answers
Determine whether y varies with x. If so, find the constant of variation and write the function rule.
ira [324]

Answer:  Yes, y does vary directly with x.

Constant of variation = 1/4

The function rule is  y = (1/4)x

=========================================================

Explanation:

Let's assume that y does vary directly with x.

If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.

Solving for k gets us k = y/x

For each row, divide the y value over the x value

  • row one: k = y/x = 14/56 = 0.25
  • row two:  k = y/x = 20/80 = 0.25
  • row three: k = y/x = 22/88 = 0.25

Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.

So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x

6 0
1 year ago
Help solving one more question please!Mason spent $15.85 for 3 notebooks and 2 boxes of markers.The boxes of markers cost $3.95
inn [45]
Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75
7 0
3 years ago
One sixth of forty-two is seven.<br> How do I write out the equation for that?
sertanlavr [38]

Answer:

Step-by-step explanation:

1/6 * 42 = 7

"of" means multiply

"is" means =

6 0
3 years ago
Find the length of arc AB
Alexeev081 [22]

Answer:

the answer is 4pi or 12.56637061

Step-by-step explanation:

the arc length equals 2pi x radius ( known angle (120) / 360 which equals 4pi or 12.56637061

8 0
3 years ago
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