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3 years ago

Which number produces an irrational number when multiplied by -1.25

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Answer: Option 'D' is correct.

Step-by-step explanation:

When a rational number is multiplied by rational number , it gives rational number only.

When an irrational number is multiplied by rational number, it gives irrational number always.

Since we need to produce an irrational number .

A. 3/4 is a rational number if we multiply by -1.25 it will remain a rational number.

B. $5.21=\dfrac{521}{100}$ is a rational number if we multiply by -1.25 it will still remain a rational number.

C. $-0.454545=-0.\bar{45}=\dfrac{-45}{99}$ is a rational number if we multiply by -1.25 it will still remain a rational number.

D. square root 17 = √17 is an irrational number if we multiply by -1.25 , it still remain irrational number.

So, Option 'D' is correct.

Snowcat [4.5K]3 years ago

4 0

D. Square root of 17

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(03.01 LC)

Lynna [10]

Answer: root of 18
9+9=x^2
18=x^2
x = 3 root of 2 or root of 18

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3 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

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

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

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

3 years ago

23. The letters of the alphabet are written on

Alla [95]

Answer:

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676

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3 years ago

Add the following fractions and simplify if needed<br> 2/3 + 1/5 =

masha68 [24]

Answer:

13/15

Step-by-step explanation:

2/3 + 1/5

You first,

Find the L. C. M, i hope u know the full name, if u don't, let me know in the comment section.
the L. C. M is 15
therefore it will be 10+3/15
13/15

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2 years ago

H(x) = x^2 + 1 k(x) = x-2 what is (h-k)(3)

sasho [114]

Answer:9

Step-by-step explanation:(h-k)(3)=9 trust me

3 0

3 years ago