Help me with these questions

Mathematics

1 answer:

DerKrebs [107]2 years ago

6 0

9 c 10 b 11 b 12a 13 c 14 d 15 d 16c 17 a or c
18 b 19 d 20 is b

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Which table shows a proportional relationship between x and y?

barxatty [35]

I would say a but not 100% sure.

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} < - 3"

Allisa [31]

Hey!

Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get $y$ on its own.

Original Equation : 
$\frac{y}{2}$ < $-3$

New Equation {Changed by Multiplying 2 on Both Sides} :
$\frac{2y}{2}$ < $2$ ( $-3$ )

And we simplify the equation to get our answer.

Old Equation :
$\frac{2y}{2}$ < $2$ ( $-3$ )

New Equation {Changed by Simplification} :
y < -6

So, the equation $\frac{y}{2}$ < -3 simplified is y < -6.

Hope this helps!

- Lindsey Frazier ♥

8 0

2 years ago

There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s

harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

Original Mean = $70,000

$\frac{\sum X}{n}$ = $70,000 ⇒ $\sum X$ = 70,000 * 10 = $700,000

New $\sum X$ after change = $700,000 - $100,000 + $1,000,000 = $1600000

Therefore, New mean = $\frac{1600000}{10}$ = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = $20000^{2}$ i.e. $20000^{2}$ = $\frac{\sum x^{2} - n*xbar }{n -1}$

Original $\sum x^{2}$ = ( $20000^{2}$ * (10-1)) + (10 * 70,000) = $3,600,700,000

New $\sum x^{2}$ = $3,600,700,000 - $100,000^{2} + 1,000,000^{2}$ = 9.936007 * $10^{11}$

New Variance = $\frac{new\sum x^{2} - n*new xbar }{n -1}$ = $\frac{9.936007 *10^{11} - 10*160000 }{10 -1}$ = 1.103999 * $10^{11}$ Therefore, standard deviation after change = $\sqrt{1.103999 * 10^{11} }$ = $332264.804 .