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3 years ago

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Solve the equation for k. 4k - 2z = 8

2 answers:

lozanna [386]3 years ago

8 0

4k-2z=8

Move -2z to the other side. Sign changes from -2z to + 2z

4k-2z+2z= 8+2z

4k= 8+2z

Divide by 4 for 4k and 8+2z

4k/4= 8/4+ 2z/4

k= 2 +1/2z

Answer: k= 2 +1/2z

antoniya [11.8K]3 years ago

6 0

Answer:

k = 2 + (1/2)z

Step-by-step explanation:

1) Isolate 4k by adding 2z to both sides: 4k = 8 + 2z

2) Divide all three terms by 4: k = 2 + (1/2)z

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Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear

Sav [38]

The linear equation that best represents the data is given by:

y = 1.35x - 2.11.

<h3>Why is the data best represented by a linear equation?</h3>

We have to consider two things:

The data increases over the entire interval, not having changes in the behavior related to increasing/decreasing, hence a quadratic equation would not be a good representation for the data.

The increase is best followed by a constant, especially for higher values, and not by a multiplier, hence a linear function is selected over an exponential function.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(1, 0.2), (2, 0.4), (3, 1.1), (4, 2.3), (5, 5.1), (6, 6.3), (7, 7.5).

Inserting these points into the calculator, the equation is given by:

y = 1.35x - 2.11.

More can be learned about linear equations at brainly.com/question/24808124

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3 0

1 year ago

67.935 in expanded form in fraction form after the decimal

Colt1911 [192]

Hello,

67.935=67+935/1000=67+187/200 = 67|187/200
======================================

5 0

2 years ago

ANSWER PLEASEE I WILL 15 TO WHOEVER DOES PLEASE

KIM [24]

Answer:

Its either answer one or two. I believe it's answer one.

5 0

3 years ago

Read 2 more answers

Can someone help meeee?

nadya68 [22]

Answer:

F ( 2 , -2)

Step-by-step explanation:

8 0

3 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago