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3 years ago

The area of a trapezuim

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Area of trapezium = $\frac{h*(a+b)}{2}$

h ---> altitude.

a and b are the parallel sides of the trapezium.

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Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c

alukav5142 [94]

Answer:

$X \sim N (\mu ,\sigma)$

And for this case we know this condition:

$P(\mu-2\sigma$

By the complement rule we know that:

$P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05$

But since the distribution is symmetrical we know that:

$P(X\mu +2\sigma) = 0.025$

So then the statement for this case is FALSE.

b. False

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

$X \sim N (\mu ,\sigma)$

And for this case we know this condition:

$P(\mu-2\sigma$

By the complement rule we know that:

$P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05$

But since the distribution is symmetrical we know that:

$P(X\mu +2\sigma) = 0.025$

So then the statement for this case is FALSE.

b. False

5 0

4 years ago

A population is normally distributed with µ = 100 and σ = 10. a sample of size 9 is selected. the probability that an individual

ASHA 777 [7]

A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.

b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.

___
* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.

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3 years ago

At the amusement park, each student was given 16 dollars for food. This covers the cost of 2 meals plus 4 dollars for snacks. Ho

Elenna [48]

12 for meals 4 for snacks

3 0

3 years ago

Read 2 more answers

25% of the students at school a got a score greater than 25 but less or an equal to 28

Aleksandr-060686 [28]

Answer:

28 >= 0.25x > 25