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kotykmax [81]
3 years ago
13

What is the difference between locating 3/5 on a number line and locating √5 on a number line?

Mathematics
1 answer:
Alika [10]3 years ago
8 0
3/5 is 0.6 and is a rational number.

√5 however is an irrational number.

It would be quite easy to find 0.6 on a number line. It's only 6/10. It's made up of six tenths.

Now √5 is equal to 2.236067977........ to infinitum.

It's made up of many little and random fractions; to a certain degree infinitely many little and random fractions.

This means that you'd never be able to find its precise value on a number line. You could zoom in to that line for eternity and never find the precise value of √5. You'd think you're getting closer to it's precise value - but it slips away and you just can't reach it.

...Welcome to the asymptotic realm of mathematics. You've been pixelated, digitized and spaghettified. Life will never be the same again.
You might be interested in
For each container of tea, McKenzie uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags, how many cups of sugar w
cestrela7 [59]
So tis is a ratio  16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64

we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar
5 0
3 years ago
Find the area of the shaded regions: the green is the shaded area
algol13

Answer:

the green area stands for the safe operation space

Step-by-step explanation:

u say b×h meaning say 80degrees ×9cm which is 720..

7 0
3 years ago
The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best expla
katovenus [111]

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

5 0
2 years ago
The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit
shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is \mu = 3.5 and \sigma = 0.5.

We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of \sigma in the z score formula.

s = \frac{\sigma}{\sqrt{100}} = \frac{0.5}{10} = 0.05.

What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?

This is 1 subtracted by the pvalue of Z when X = 3.65. So

Z = \frac{X - \mu}{s}

Z = \frac{3.65 - 3.50}{0.05}

Z = 3

A zscore of 3 has a pvalue of 0.9987.

So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

4 0
3 years ago
15 point reward + brainliest for the CORRECT answer
Zepler [3.9K]

Answer:

2/7

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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