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4 years ago

Consider the following sample data set: 34, 41, 23, 22, 23, 42, 24, 24, 69, 36. What is the standard deviation?

Mathematics

1 answer:

dybincka [34]4 years ago

3 0

Answer:

standard deviation comes out to be equal to 14.63

Step-by-step explanation:

given numbers,

34, 41, 23, 22, 23, 42, 24, 24, 69, 36

arranging in ascending order

22, 23, 23, 24, 24, 34. 36, 41, 42, 69

mean = $\dfrac{22+23+23+24+24+34+36+41+42+69}{10}$

= 33.8

standard deviation = $\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}$

= $\sqrt{\frac{1927.6}{10-1}}$

= 14.63

hence, the standard deviation comes out to be equal to 14.63

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Which of the following is a solution of x2+5x=-2

diamong [38]

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

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2 years ago

Find the slope of the line that contains the points (6, -2) and (-3, 7).

Orlov [11]

The way I used to think to figure this out is to remember that a slope is "rise over run" or y over x (y/x). You'll want to find the change of y and the change of x. There is a change of -9 between 6 and -3. The change between -2 and 7 is 9 too. 9/-9 equals -1. So the slope is -1.

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3 years ago

Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixt

Vanyuwa [196]

Answer:

1.5gal

Step-by-step explanation:

From the given information:

50% lemon juice + 50% lime juice is the intended mixture.

Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.

x of 100% and 4-x gallons of the existing 20% mix

100%x + 20%(4-x) = 50%(4)

1.00x + 0.2(4-x) = 0.5(4)

1.00x + 0.8-0.2x = 2

1.00x-0.2x = 2-0.8

0.8x = 1.2

× = 1.5gal.

3 0

4 years ago

Read 2 more answers

Mrs. Emily Francis saves RM10 000 in a bank . by the end of the eighth year , the money collected amounts to RM19 992.71.if the

Anna11 [10]

Answer:

8.85% per year

Step-by-step explanation:

To find the interest rate of a compounding interest, we use the formula:

$r=n[(\dfrac{A}{P})^{\dfrac{1}{nt}}-1]$

Before we start solving, let's break down all the variables that we have.

A = 19,992.71

P = 10,000.00

n = 2

t = 8

r = ?

Now let's put the values into the formula.

$r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{2(8)}}-1]$

$r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{16}}-1]$

$r=2[(\dfrac{19,992.71}{10,000.00})^{0.0625}-1]$

$r=2[(1.9992.1)^{0.0625}-1]$

$r=2[1.0442499885-1]$

$r=2[0.0442499885]$

$r=0.08849997699$ or $8.85%$

So the rate the Mrs. Emily Francis got from the bank was 8.85% per year.

5 0

4 years ago

A betta fish tank is in the shape of a cube. The volume of the fish tank is 216

GarryVolchara [31]

To find this answer, we need to understand how to get the Volume.

We get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:

$V=a^3$

a= edge

Solving for a

a=V⅓=216⅓=6

<h2>So hence, each of the Cube shaped Fish Tank is 6in³</h2>

now, let's look at how to find whether our answer is right or wrong

6x6=36

36x6=216

So hence, our answer is right!

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6 0

3 years ago