Is -4.67 a rational number

Help quick please. Order the numbers from least to greatest.

Anastasy [175]

Answer:

$-2\frac{1}{4}$

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, $|-2\frac{1}{4}|=2\frac{1}{4}$ = 2.25

$-2\frac{1}{4}=-2.25$

$|1\frac{1}{4}|=1.25$

$\frac{3}{4}=0.75$

$|-1\frac{3}{4}|=1\frac{3}{4}=1.75$

$-1\frac{1}{4}=-1.25$

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, $-2\frac{1}{4}$

4 0

2 years ago

Geometry !!! Pls help it’s timed!!

DENIUS [597]

Answer:

the answer is the first choice .

6 0

2 years ago

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

6 0

3 years ago

A manufacture inspects 800 light bulbs and finds that 796 of them have no defects. What is the experimental probability that a l

BartSMP [9]

Answer:

The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

Step-by-step explanation:

let S be the sample space for the inspection of the light bulbs.

Therefore, n(s) = 800

let ' A ' be the event of no defects bulbs.

Therefore, n(A) = 796

Now the Experiment probability for a light bulb chosen has no defects will be given by,

$P(A)=\dfrac{n(A)}{n(S)}$

Substituting the values we get

$P(A)=\dfrac{796}{800}=0.995$

The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

3 0

3 years ago

Can someone explain these questions? Thank you so much.

stealth61 [152]

3) There are 12 inches in a foot, so 144/12 equals 12 feet- the distance above the floor. 12 goes into 40 about 3 times. 3 feet + 12 feet equals about 15 feet.

4) When you want to find the percentage of something, you would take the percentage and move the decimal place two spaces to the left. So 45% becomes .45. Then you would multiply that by the number of houses. .45 times 36 equals 16.2. Rounded to the nearest whole number, 16 houses display holiday lighting.

6 0

3 years ago