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2 years ago

9. The inside diameter of a certain size of

Mathematics

1 answer:

SOVA2 [1]2 years ago

7 0

Answer: 17.32 millimeters

Step-by-step explanation: The number is smaller so choosing a unit with a smaller measure is better

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The median of the following data will ________________________ when you in add a data value of 1? (DO MATH on paper!) 8, 9, 9, 4

svlad2 [7]

Answer:

B decrease

Step-by-step explanation:

First, lets put the numbers in order from greatest to least.

10 9 9 8 6 4 4

Second, let's find the median without number 1. (The median is in bold.)

10 9 9 8 6 4 4

Third, let's add the number 1.

10 9 9 8 6 4 4 1

Fourth, let's find the median with the number 1.

10 9 9 8 6 4 4 1

Since there are two numbers in the middle let's find the average between them.

8+6=14

14/2= 7

Last, let's compare the two medians.

8>7

So when you add the number 1 the median decreases. So your answer is B decrease

7 0

3 years ago

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that

Mekhanik [1.2K]

Answer:

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

$np \geq 10$ and $n(1-p) \geq 10$

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Out of 124 software users

This means that $n = 124$

Assume the probability that a given software user will call technical support is 97%.

This means that $p = 0.97$

Conditions:

$np = 124*0.97 = 120.28 \geq 10$

$n(1-p) = 124*0.03 = 3.72 < 10$

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0$

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0

3 years ago

write an equation of the line that is parallel to the given line and that passes through the given point. y=5/2x - 10; (-6,-29)

dlinn [17]

Write the standard form of a line, the slope is 5/2 since they are parallel and then replace the coordinates.
y-(-29) = 5/2 (x-(-6)) -> y=5/2x-14

6 0

3 years ago

Write an equation to represent the following statement.<br> 24 is 4 times as great as k.

Artyom0805 [142]

Answer:

24 x 4 = k x 4

Step-by-step explanation:

8 0

2 years ago

In a region, there is a 0.7 probability chance that a randomly selected person of the population has brown eyes. Assume 12 peop

marshall27 [118]

The probability of people having brown eyes is 0.7*12=8.4, thus approximately 8-9 people out of the twelve will most likely have brown eyes. You haven't stated what you are trying to find out, but I'm assuming you are looking for this answer.

3 0

3 years ago