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3 years ago

Combine like terms. 3y+3y+5+7x^3-y-6-7x^3

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

Answer:

5y - 1

completely simplified

guapka [62]3 years ago

3 0

Answer:

5y-1

Step-by-step explanation:

3y+3y+5+7x^3-y-6-7x^3

3y+3y-y= 5y

7x^3-7x^3 cancel each other out

5-6= -1

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic

Elanso [62]

Answer:

95% Confidence interval for the mean

$142.8 \leq\mu\leq158.4$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

$cf=\sqrt{\frac{N-n}{N-1} }$

The standard deviation can be estimated as

$\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963$

The 95% confidence interval has a z value of 1.96, so it becomes:

$M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4$

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3 years ago

Let u = <3, -1>, v = <-6, -6>. Find 9u + 2v.

Gnom [1K]

9u means you're multiplying 9 into that vector, both components. Same with the 2v. 9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>. Now let's do v. 2* -6 (twice) = -12, so your new v vector is <-12, -12>. Add those together now, first components of each and second components of each. 27 + (-12) = 15; -9+(-12)=-21. So the addition of those gives us a final vector with a displacement of <15, -21>

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3 years ago