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Viktor [21]
3 years ago
9

What is the product of 3.39 and 10(2)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
10(2) = 20
20 x 3.39 = 67.8

So, the product of 3.39 and 10(2) is 67.8.
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20 is what percent of 800?
notsponge [240]
800 is 100% so 20 is 40% of 800.
8 0
2 years ago
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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
A theatre costs £63 plus a booking fee of 3%
s2008m [1.1K]

Answer:

£64.89

Step-by-step explanation:

Cost of Ticket = £63

Booking Fee = 3% of £63 = 3/100*63 = £1.89

So, total cost of ticket = £64.89

3 0
2 years ago
Complete the equation of the line through (6,−6) and (8,8)
vlabodo [156]
Gradient =(y1-y2) / (x1-x2)
(-6-8)/(6-8)
:7

y:mx+c
8:7(8)+c
c:-48
y:7x-48
7 0
3 years ago
Caitlyn’s family has a circular swimming pool. The circumference of the pool is 25.12m What is its area?
Natasha2012 [34]

Answer:

A = 50.26 sq meters

Step-by-step explanation:

we have to find the diameter first by using the circumference:

C = πd

25.12 = πd

25.12/π = d

8 = d

this means the radius is 4

A = πr²

A = π4² or 16π

A = 50.26 sq meters

4 0
3 years ago
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