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2 years ago

-3x + 4 = -8 I- math homework is difficult ._.

Mathematics

2 answers:

nekit [7.7K]2 years ago

6 0

Answer:

x=4

Step-by-step explanation:

Subtract 4 from both sides:

-3x + 4= -8

-4 -4

Simplify and divide both sides by -3:

-3x = -12

÷-3 ÷-3

Then your answer should be x = 4!

tino4ka555 [31]2 years ago

4 0

The answer is -8 I’m believing

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

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7 months ago

Express the shaded area as a fraction, a decimal, and a percent of the whole

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Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

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2 years ago

Read 2 more answers

Increasing the sample size while keeping the same confidence level has what effect on the margin of error? A. Increases the marg

DiKsa [7]

Answer:

C. Decreases the margin of error and hence increases the precision

Step-by-step explanation:

If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by

$\bf E=\frac{ZS}{\sqrt{n}}$

where

Z = The Z-score corresponding to the confidence level

S = The estimated standard deviation of the population

n = the size of the sample.

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C. Decreases the margin of error and hence increases the precision

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