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omeli [17]
3 years ago
14

If y varies inversely as x, and y = 10 when x = 20, find x when y = 16.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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The following statistics represent weekly salaries at a construction company.
11111nata11111 [884]

Answer:

The most common salary is $605. The salary that half the employees salaries surpass is $630. The percent of employees salary that serve because $700 is 75%. Percent of employees salaries that were less than $480 is 25%. The 9% percent of employees salaries this surpass $891 years. The total weekly salary of 104 employees is 57200.

Step-by-step explanation:

It is given that mean is $550, first quartile is $480,  median is $630, third quartile is $700,  mode is $605 and 91st percentile is $891.

First quartile is at 25% of the data, median is at 50% of the data, third quartile is at 75% of the data.

The mode of a set of data values is the value that occurs most often.

The most common salary is mode, therefore the most common salary is $605.

The salary that half the employees salaries surpass is $630. Because median is the half of the data.

The percent of employees salary that serve because $700 is 75%. Because $700 is third quartile.

Percent of employees salaries that were less than $480 is 25%. Because $480 is first quartile.

The percent of employees salaries this surpass $891 years is 9%. Because $891 is 91 percentile. Therefore 9% employees get more than $891.

If the company has 104 employees than the total salary of employees is

104\times 550=57200

because means is $550, therefore the total weekly salary of 104 employees is 57200.

8 0
3 years ago
Read 2 more answers
PLEASE HELP<br> 3/4M -12 but m = 32
slava [35]

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

24−12 Subtract 12 from 24.

12

Step-by-step explanation:

4 0
3 years ago
Use a graphing calculator to find the value of the correlation coefficient r to determine if there is a strong correlation among
OlgaM077 [116]

The value for r = - 0.8535 ,  there is strong correlation between the variables.

<h3>What is a correlation coefficient  ?</h3>

Correlation coefficient describes the relationship between the two variables in the data .

The data given is

(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)

Assuming Linear Regression ,

The data is plotted on the graphing calculator

The value for r = - 0.8535

as the value is in the range of - .85 to -1 , therefore there is strong correlation between the variables.

To know more about Correlation Coefficient

brainly.com/question/15577278

#SPJ1

3 0
2 years ago
What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St
katrin [286]

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = <em>1</em>

b = <em>- 2</em>

c = <em>- 1</em>

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

<em><u>Real and </u></em><em><u>D</u></em><em><u>istinct roots </u></em>

x = - b +- √b² - 4ac/2a

= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)

= 2 +- √4 + 4/2

= 2 +- √8/2

= 2 +- 2√2/2

= 2 +- √2

x = 2 + √2 or x = 2 - √2

7 0
4 years ago
Use the rules of exponents to evaluate or simplify. Write without negative exponents.<br> (-243)^3/5
IRINA_888 [86]

Answer:

-27

Step-by-step explanation:

(-243)^3/5


We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3


We know (-243) ^ 1/5 = -3

(-3) ^3 = -27

5 0
3 years ago
Read 2 more answers
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