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3 years ago

b) y= 5/x What happens to the value of y if the value of x triples? Select your answer. A. x2 B. x3 C. /2 D. /3

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

D.)

Step-by-step explanation:

y = 5/x

so when the value of x triples, the new X becomes;

X = 3x

So,

Y = 5/ X

=> Y = 5/3x

=> Y = 1/3 . 5/x

=> Y = 1/3 . y

so the new value of y ( Y ) is 1/3 times original y.

Hence, D. is the answer

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A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

Beginning salary=$22000

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0

3 years ago

Latisha earns $5 dollars an hour painting her neighbors fence create two variables PART:A determine which is dependent and which

Natali [406]

D=dollars earned

T=time spent painting the fence.

(1,5) (2,10) (3,15)

D=5T

4 0

3 years ago

Read 2 more answers

Find the mode of the data.

mixer [17]

The mode is a term that is repeated the most.
And the one which is the repeated is 30.

6 0

4 years ago

What makes values of a and b make each inequality true? -ab>0, ab<0, a^2b>0, a/b>0

max2010maxim [7]

-ab>0 is the answer cause the others make 0 not to be simplified

7 0

4 years ago

What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

<em>The length of the missing side is 10</em>

4 0

3 years ago