What is the magnitude of 5-3i

ArbitrLikvidat [17]

Answer:

$\huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}$

Step-by-step explanation:

$\huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}$

6 0

3 years ago

hompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters,

choli [55]

Answer:

$P(-2.012$

So since we want the probability that "the sample mean would differ from the population mean by greater than 2.2 millimeters". Then we use the complement rule and we got

P=1-0.9558=0.0442

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".

Let X the random variable that represent the diameter of a population, and for this case we know the distribution for X is given by:

$X \sim N(125,49)$

Where $\mu=125$ and $\sigma=7$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(125,\frac{7}{\sqrt{41}}=1.093)$

Solution to the problem

We can begin the problem finding this probability

$P(\mu -2.2$

We can use the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(125-2.2$

$=P(\frac{122.8-125}{\frac{7}{\sqrt{41}}}$

And we can find this probability on this way:

$P(-2.012$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2.012$

So since we want the probability that "the sample mean would differ from the population mean by greater than 2.2 millimeters". Then we use the complement rule and we got:

P=1-0.9558=0.0442

7 0

3 years ago

Your english teacher has given you a list of 10 possible topics for essays. you need to pick four topics from the list to write

postnew [5]

Assuming order doesn't matter, we can use the probability formula nCr. Using a calculator, you get that there are 210 possible combinations. However, if order did matter, then you would use nPr, in which case would the answer be 5040.

:)

6 0

3 years ago

What is the lowest common denominator:<br> 4/5,7/10, 6/15, 1/2

Archy [21]

Lowest common denominator =2

4 0

3 years ago

Read 2 more answers

Use the graph to describe what transformation has taken place. List your answer below.

belka [17]

Answer:

reflection over the y axis