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Andru [333]
2 years ago
7

What is equivalent to -3(3y-2x)+2(5x-4y)

Mathematics
2 answers:
aev [14]2 years ago
4 0
-9y+6x+10x-8y
to expand brackets, you multiply the number outside by the numbers inside. first -3x3= -9. 
-2 by -3 is 6
2 by 5 is 10
2 by -4 is -8
melisa1 [442]2 years ago
4 0
-3(3y-2x)+2(5x-4y)
=-9y+6x+10x-8y
=-17y+16x
=16x-17y
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blondinia [14]

Answer:

97

Step-by-step explanation:

We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.

We will use following formula to solve our given problem.

n\geq (\frac{z_{\alpha/2}\cdot\sigma}{E})^2, where,

\sigma=\text{Standard deviation}=0.05,

\alpha=\text{Significance level}=1-0.95=0.05,

z_{\alpha/2}=\text{Critical value}=z_{0.025}=1.96.

E=\text{Margin of error}

n=\text{Sample size}

Substitute given values:

n\geq (\frac{z_{0.025}\cdot\sigma}{E})^2

n\geq (\frac{1.96\cdot0.05}{0.01})^2

n\geq (\frac{0.098}{0.01})^2

n\geq (9.8)^2

n\geq 96.04

Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.

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2 years ago
How do you do box and whisker plots?
Juliette [100K]

Answer:

Find the five number summary of the data:

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XY=7a,YZ=5a,XZ=6a+24
leonid [27]
7a + 5a = 6a + 24 
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<span>a = 4 </span>
<span>XZ = 6(4) + 24 </span>
<span>XZ = 48 </span>
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What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, –0.04, –0.14,
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0.10
is the answer for that
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