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2 years ago

Mean variance standard deviation discussions questions

Mathematics

1 answer:

Simora [160]2 years ago

5 0

The answer will be Mean = 135 Variance = 62 and Standard Deviation = 8

<h3>What is the standard deviation? </h3>

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that :

Proportion (p) = 54%

Sample size (n) = 250

Using Normal approximation :

Mean = np

Mean = 250 * 0.54 = 135

Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46

Variance = (250 * 0.54 * 0.46) = 62.1 = 62

Standard deviation = √variance = √62.1

Standard deviation = 7.8803553 = 8

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Sam and Bethan share £54 in the ratio of 5:4 work out how much each gets

Sindrei [870]

Answer:
Sam gets £30 and Bethan gets £24.
Why?
When dealing with ratios, add up the numbers in the ratio.
5 + 4 = 9
Now, divide the total amount of money by that number.
£54/9 = 6
Now you have the base rate. Multiply each quantity in the ratio by this number.
5*6 = 30
4*6 = 24
Now, the ratio is (in euro) 30:24. This means that Sam has £30 and Bethan has £24.
Check:
30 + 24 = 54

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3 years ago

Help please!!!!!!!!!!

ladessa [460]

Hi! This is a difficult problem because I'm not too familiar with exponential functions but I think that 4^x is an exponential function and 2 multiplied by it means that it's multiplying by an exponential function. Does it make the whole rule exponential? I'm not sure but I don't think it does.

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3 years ago

ANSWER ASAP1! GET BRAINLEST

Oksanka [162]

Answer:

x = $2\dfrac{3}{7}$

Explanation:

$\hookrightarrow 35.1 = 12.9 + 10.2x$

$\hookrightarrow 10.2x = 35.1 - 12.9$

$\hookrightarrow \dboxed{10.2x = 22.2}$

$\hookrightarrow x =\dfrac{22.2}{10.2}$ * 5

$\hookrightarrow x = \dfrac{111}{51}$

$\hookrightarrow x = \dfrac{37}{17}$

$\hookrightarrow x = 2\dfrac{3}{7}$

3 0

2 years ago

Read 2 more answers

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

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3 years ago

Which equation matches the table?

OleMash [197]

Answer:

y=2x

Step-by-step explanation

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2 years ago