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3 years ago

How do i solve these and graph them ?!

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

Use Desmos. It is good.

Here is the graph.
https://www.desmos.com/calculator/wq4kzps9fq

To change the color, you have to click on the line next to the formula for a long time. A window will pop up so you can change the color.

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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

3 years ago

What is the percent decrease if the original price is $582 and it went down 30%

Semenov [28]

Answer:

30%

Step-by-step explanation:

What is the percent decrease if the original price is $582 and it went down 30%

or decreased 30%

Check:

582 x 0.70 = 407.4

582-407.4=174.6

174.6/582= 0.3

5 0

3 years ago

Training has saved $425 to spend during her 14-day vacation about how much money can she spend a day

lukranit [14]

She can spend about $30 per day.

5 0

3 years ago

Read 2 more answers

What is long divison

pochemuha

Answer:arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.

anzhelika [568]

Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
$V_{0} =(1+ i_{a} ) ^{1}$
Where
$V_{0}$ = initial investment.
$i_{a}$ = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
$V_{0} =(1+ i_{q} ) ^{4}$
Where
$V_{0}$ = initial investment.
$i_{q}$ = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
$(1+ i_{a} )=(1+ i_{q} ) ^{4}$
Notice that we are not using the initial investment $V_{0}$ since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
$(1+0.07)=(1+ i_{q} ) ^{4}$
$1.07=(1+ i_{q} ) ^{4}$
$\sqrt[4]{1.07} =1+ i_{q}$
$i_{q} = \sqrt[4]{1.07} -1$
$i_{q} =0.017$
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.

6 0

3 years ago