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lina2011 [118]
3 years ago
6

Evaluate the expression 4/15÷x+0.4 for x if: x=1, x=4/9, x=1 1/3. Solve for each X. I need help Will give brainliest!

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

4/15 ÷ x + 0.4

When x = 1

4/15 ÷ 1 + 0.4

x = 2/3

When x = 4/9

4/15 ÷ 4/9 +0.4

x = 1

When x = 1 ⅓ = 4/3

4/15 ÷ 4/3 + 0.4

x = 3/5

Hope this helps.

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Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de
DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{21}{5} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

s^2 = \dfrac{364.8}{4}} = 91.2

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

Mean =\displaystyle\frac{25.2}{6} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

s^2 = \dfrac{364.8}{5}} = 72.96

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0
3 years ago
Subtract and simplify: (10x4 – 2x + 7) – (6x4 + 2x3 – 4x2 – 1) A. 4x4 – 2x3 + 4x2 – 2x + 6 B. 4x4 + 2x3 – 4x2 – 2x + 8 C. 4x4 –
Masja [62]
(10x^4  - 2x + 7) - (6x^4 + 2x^3 - 4x^2 - 1)=

= 10x^4-2x+7-6x^4-2x^3+4x^2+1=\\\\ = 4x^4-2x^3+4x^2-2x+8
8 0
3 years ago
Help with math homework please!
yuradex [85]

The correct answer is:  [C}:  " 3 ⁻ ¹ " .

___________________________

<u>Note</u>:  " 3 =  3 ¹  " .

     →   "  3 ⁻ ¹  =  1 / (3 ¹)  = 1 /3 =  \frac{1}{3} " .

_______________________

Let us consider the remaining answer choices:

_______________________

Choice  [A}:  " ( - 1)³ " .    

<u>Note</u>:  " ( - 1)³ "  =  " { - 1 * - 1 * - 1 } " =  " -1 " .  

                →  " -1 " ≠ " \frac{1}{3} " .

                →  So; Choice  [A} is INCORRECT.

___________________________

Choice  [B]:  " (- 3)¹ " .

<u>Note</u>:  " ( - 3)¹ "  =  " -3 " .

                →  " -3 " ≠ " \frac{1}{3} " .

                →  So;  Choice  [B] is INCORRECT.

___________________________

    →  The correct answer is:  [C]: "  3 ⁻ ¹  . "

__________________________

Hope this was helpful!

Best of luck to you!

__________________________

8 0
3 years ago
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