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2 years ago

Which length is 10 6 times greater than a nanometer?

1 answer:

8 0

A nanometer (nm) is 10⁻⁹ m.

Therefore
10⁶ x 1 nm = 10⁶(10⁻⁹ m) = 10⁻³ m

By definition,
10⁻³ m = 1 mm (millimeter)

Answer: 1 millimeter

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How many solutions exist for the given equation? 3x(x - 2) = 22 - x

Mila [183]

The solution exist for the given equation are
x=-2
and
x=11/3

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2 years ago

If ΔOCD ≅ ΔJAL, then which of the following statements are true? Select True or False for each statement.

andrey2020 [161]

Answer:

true

false

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Step-by-step explanation:

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2 years ago

On your birthday you receive a new TV valued at $1199. The value of the TV decreases by 25% each year. What will its value be 4

earnstyle [38]

Answer: 74.93

Step-by-step explanation: if you heard of the line equals line method this should be able to help you.

299.75 25%

---------------=------------------

$1199 100%

so you cross multiply 1199 and 25 and then divide it by 100. which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.

299.75 divided by 4= 74.93

hope this helps

4 0

1 year ago

Jayla starts with a population of 100 amoebas that increases 40% every hour for a number of hours, h. The expression 100(1 + 0.4

Ivanshal [37]

I don't believe your expression is correct as is; it should be <span>100(1 + 0.4)^h.

You have not shared the possible answer choices; please do so.

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5 0

2 years ago

Read 2 more answers

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

2 years ago