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3 years ago

Meow aka hi ummmm what is the square root of 232

Mathematics

2 answers:

MissTica3 years ago

8 0

<span>approx. 15.23 is the square root of 232. (</span><span>15.2315462117)</span>

barxatty [35]3 years ago

8 0

Answer:

15.2315462117

Step-by-step explanation:

You have to divide the number evenly.

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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

What is 60 percent written as decimal

Sladkaya [172]

To convert ANY percent to a decimal we need to divide the percent by 100. Lets do it:-

60%
60 ÷ 100 = 0.60
60% written as a decimal is 0.60.

CHECK OUR WORK:-

0.60 × 100 = 60
We are RIGHT!!!

So, 60% written as a decimal is 0.60 (0.6).

Hope I helped ya!! xD

6 0

3 years ago

sam and jesse each wash 5 cars an hour. they both work for 7 hours over 2 days. how many cars did Sam and Jesse wash?

emmainna [20.7K]

Just do how many minutes are in a hour and do that for 2days but 24 times two

3 0

3 years ago

- Why is R2 important? in multiple regression

andriy [413]

Answer:

R-squared is a statistical measure of how close the data are to the fitted regression line.

Step-by-step explanation:

It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression. ... 100% indicates that the model explains all the variability of the response data around its mean.

4 0

3 years ago

If x is equal to –2, then find the value of 3x² + 5x

attashe74 [19]

Answer:

Step-by-step explanation:

3*(-2)to power of 2 + 5*-2

= 3*4 + 5*-2

= 12 + -10 = 2

5 0

3 years ago