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3 years ago

What is 55/100 in simplest form

Mathematics

2 answers:

RoseWind [281]3 years ago

6 0

55/100
= (55/5) / (100/5)
= 11/20

The simplest form of 55/100 is 11/20~

scoundrel [369]3 years ago

3 0

It's 11/20 because 55 divided by 5 = 11 and 100 divided by 5 = 20.

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Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$

Next, calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}$

$\bar x = \frac{1845.73}{146}$

$\bar x = 12.64$

Next, the sample variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}$

$\sigma^2 = \frac{2393.6875}{145}$

$\sigma^2 = 16.51$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{16.51}$

$\sigma = 4.06$

6 0

2 years ago

a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the cit

Rus_ich [418]

I have no clue if this is correct but the answer I got was 10,260,000

3 0

3 years ago

Read 2 more answers

Can someone show me the steps to doing this ?

VMariaS [17]

U're goal is to get k alone.
So divide both sides by 9/10.
3/2 divided by 9/10 is 5/3

3 0

3 years ago

Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.

vichka [17]

Answer:

y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-2 -7)/(3 -(-1))(x -(-1)) +7

y = -9/4(x +1) +7

For x = -6 this evaluates to ...

y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

y = 18 1/4

6 0

3 years ago

Bianca and yoko work together to mow the lawn. suppose yoko mow 5/15 of the lawn and bianca m ows 2/5 of the lawn. how much lawn

xz_007 [3.2K]

They mowed total of 11/15 (5/15 + 2/5) already, so they still have 4/15.

8 0

2 years ago