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Vesnalui [34]
3 years ago
5

What expression is equivalent to -3(4x - 2) - 2x

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

<em>-14x+6</em>

Step-by-step explanation:

first, we distribute the -3.

-3(4x - 2) - 2x=-12x+6-2x

than, we conbide like terms

-12x+6-2x=-14x+6

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The distance of the points is 4 units down and 2 units right

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Joe saved $8000 in his bank account. His account interest rate is 2.1%. What will his bank account balance be after 6 years?
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Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (round your answers to the nea
creativ13 [48]
Given a table below which gives the years in A.D. for an archaeological excavation site using the method of tree ring dating:

\begin{tabular}&#10;{|c|c|c|c|c|c|c|c|c|}&#10;1229&1292&1187&1257&1268&1316&1275& 1317&1275&#10;\end{tabular}

Part A:

The sample mean is given by:

\bar{x}= \frac{1229+1292+1187+1257+1268+1316+1275+ 1317+1275}{9} \\  \\  = \frac{11416}{9} =1268

Therefore, the sample mean is 1268.



Part B:

We calculate the sample standard deviation as follows:

s= \frac{1}{9-1} \left(\sqrt{(1229-1268)^2+(1292-1268)^2+(1187-1268)^2+(1257-1268)^2+(1268-1268)^2+(1316-1268)^2+(1275-1268)^2+(1317-1268)^2+(1275-1268)^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{(-39)^2+24^2+(-81)^2+(-11)^2+0^2+48^2+7^2+49^2+7^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{1521+576+6561+121+2304+49+2401+49}\right)\\ \\ = \frac{1}{8}\left(\sqrt{13,582}\right)\\ \\ = \frac{1}{8}(116.54)=14.57\approx15



Part C:

The 90% confidence interval is given by:

90\% \ C. \ I.=1268\pm1.65\left(\frac{15}{\sqrt{9}}\right) \\  \\ =1268\pm\left(\frac{15}{3}\right)=1268\pm5 \\  \\ =(1268-5, \ 1268+5)=(1263, \ 1273)
8 0
3 years ago
If y = x 2 - 4 is being graphed using the table method, what is the y-value generated when x = - 2 ?
Arada [10]

Answer:

(There's a confusion here, is x 2 x times 2? The answer and explanation are based on x multiply by 2)

y = -8

Step-by-step explanation:

Substitution Method-

y = x 2 - 4

x = -2

y = (-2) 2 - 4

PEMDAS - parentheses; exponents; Multiplication & Division; Addition & Subtraction

we are going to multipl -2 and 2 together ---> -4

y = -4 - 4

Same sign add, different sign subtract.

Same sign keep the sign, different sign keep the larger.

y = -8

Please mark brainliest!

Hope this helps!

Thank you,

Have a great day!

3 0
2 years ago
Michael bought a bicycle at 20% off the original price. If she paid $240,what was the original retail price?
Contact [7]

Answer:

The original price was $288.00.

Step-by-step explanation:

First, identify your rate and your base. Your rate is 20% and your base is $240. Next, take 20% and convert it to a decimal, making .20. Third, multiply the base by the new rate, $240 x .20, but don't line up the decimals. This will give you $48.00 (your number will usually get smaller if you're working with decimals). Finally, add $48.00 to $240.00. This will give you $288.00.

7 0
3 years ago
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