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Stella [2.4K]
3 years ago
9

Which equation has the same graph as 4x + 8y = 12?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

4x + 8y = 12  \\ 4(x + 2y) = 12 \\  \frac{4(x + 2y)}{4}  =  \frac{12}{4}  \\ x + 2y = 3

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Complete the expanded notation for 64,375
NISA [10]

There are several expanded forms for a decimal number. Pick the one that matches your requirements.

64,375 = 60,000 +4,000 +300 +70 +5

64,375 = 6×10,000 +4×1,000 +3×100 +7×10 +5×1

64,375 = 6×10⁴ +4×10³ +3×10² +7×10¹ +5×10⁰

3 0
3 years ago
Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample
GuDViN [60]

Answer: (628.48,\ 661.52)

Step-by-step explanation:

Given : Sample size : n=16 , which is a small sample (, 30) so we use t-test.

Sample mean : \overline{x}=645 \text{ hours}

Standard deviation : \sigma = 31 \text{ hours}

Significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=2.131

The confidence interval for population mean is given by :-

\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)

Hence, a 95% confidence interval for the population mean \mu = (628.48,\ 661.52)

6 0
3 years ago
Find the lengths of all segments in the diagram.<br> AB =<br> BC =<br> BD =<br> AC =
Dmitrij [34]

Answer:

Since we know that AD =12

AC=1/2*AD

AC=6

AB=BC=1/2*AC

AB=BC=3

hope you like the answer

please Mark as brainlist

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4 years ago
The Volume of a cylinder is given by the formula
Vanyuwa [196]

Answer:

this is the answer I have done.

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3 years ago
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