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2 years ago

6

Simplify the expression

2 answers:

8_murik_8 [283]2 years ago

7 0

(√3 + 1)/8 the answer to the question

il63 [147K]2 years ago

5 0

$\bf \cfrac{\sqrt{3}}{8}+\cfrac{1}{8}\implies \stackrel{\textit{same denominator, so LCD is just that, 8}}{\cfrac{(1)\sqrt{3}+(1)1}{8}\implies \cfrac{\sqrt{3}+1}{8}}$

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The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.501

taurus [48]

Answer:

$Median = 15.80$

$Mode = 15.20\ \&\ 15.25$

$IQR = 2.35$

Step-by-step explanation:

Given

$15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,$

$13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,$

$19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,$

$16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,$

$15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.$

Solving (a): The median and the mode

First, we sort the data.

$13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,$

$15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,$

$18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.$

The median position is:

$Median = \frac{n + 1}{2}th$

$Median = \frac{25 + 1}{2}$

$Median = \frac{26}{2}$

$Median = 13th$

The 13th item is: 15.80

Hence:

$Median = 15.80$

The modes are:

$Mode = 15.20\ \&\ 15.25$ --- they both have frequency of 2 while others occur once

Solving (b): The interquartile range

This is calculated as:

$IQR = Q_3 - Q_1$

Since the median is at the 13th position, Q1 is:

$Q_1 = \frac{1 + 13}{2}th$

$Q_1 = \frac{14}{2}th$

$Q_1 = 7th$

The 7th item is: 15.20

$Q_1 = 15.20$

Similarly, Q3 is:

$Q_3 = \frac{13+n}{2}$

$Q_3 = \frac{13+25}{2}$

$Q_3 = \frac{38}{2}$

$Q_3 = 19th$

The 7th item is: 17.55

So:

$Q_3 = 17.55$

Hence,

$IQR = 17.55 - 15.20$

$IQR = 2.35$

5 0

2 years ago

A snail can travel 390 inches in 5 hours. How far does it travel in 10 minutes?

kipiarov [429]

60 minutes in an hour so multiply that times 5 getting 300 now divide. You get 1.3 multiply by 10 for the amount of minutes needed so 13 inches in 10 minutes

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2 years ago

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Bill paid $36 tax on a laptop that cost $450. What percent tax did Bill pay?

rewona [7]

36% of 450=162
Cost/price before ST: $450.00

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2 years ago

(3) The grocery store is having a sale on frozen vegetables. 5 bags are

STALIN [3.7K]

Answer:

$23.31

Step-by-step explanation:

$12.95/5

=$2.59/per bag

$2.59*9

=$23.31

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2 years ago

4(x+3)-4=8(1/2x+1)<br> What is x

DanielleElmas [232]

Answer:

i think the answer is x=4

hope it helps

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2 years ago

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