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3 years ago

Which number produces an rational number when multiplied by 1/5

Mathematics

2 answers:

Nata [24]3 years ago

6 0

Answer with explanation:

Rational numbers are those numbers which can be written in the form of $\frac{a}{b}$ , where , b≠0.

Rational number can be written in the following way:

Integers + Terminating Decimal + Non terminating Repeating Decimal

When you will look at , fraction $\frac{1}{5}$ , it is terminating Decimal.

So, apart from any irrational number which is non terminating non repeating , if you multiply $\frac{1}{5}$ , with any number on the number line , that is any rational number ,because product of two rational is always a rational ,you will get a rational number.

Sedaia [141]3 years ago

5 0

Any rational number will satisfy the situation.

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Pls help w explanation!!

Rama09 [41]

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

$x + y = 5000$

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

$x - y \leqslant 500$

A shows this so A is the answer.

8 0

3 years ago

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 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)

The margin of error is given by:

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

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 tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

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

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago

Toya can run one lap of the track in 1 min. 3 sec., which is 90% of her younger sister niki's time. what is niki's time for one

Alex

Hello!

1 minute 3 seconds = 63 seconds

We must found out 63 is 90% of what number, using the percentage formula:

90 * 100 / 63 = 70

70 seconds = 1 minute 10 seconds

So, Niki's time for one lap is 1 minute 10 seconds (70 seconds).

5 0

3 years ago

Lesson 6 Practice Problems

inna [77]

Answer:

WHITE PAINT PINK PAINT

(CUPS) (CUPS)

4 3

4/3 1

1 3/4

16/3 4

5 15/4

-Lexi

6 0

3 years ago

In a game experience, the level of monsters, L, is measured by the formula L=25M/E , where M= the number of monsters, and E= the

timama [110]

Answer:

E = \frac{25M}{L}

Step-by-step explanation:

To solve this, we can multiple each side by E and then divide each side by L:

$L*E=\frac{25M}{E}*E\\ L*E=25M\\\frac{L*E}{L}=\frac{25M}{L}\\ E = \frac{25M}{L}$

3 0

3 years ago

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