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3 years ago

How to solve 6×+8 = 12x-4

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

x=2

Hope this helps!

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Tom's age is four times that of his sister. When you add Kim's age to her brother's, you get 15. How old are Tom and Kim?

Kamila [148]

Answer:

Kim is 3, Tom is 12

Step-by-step explanation:

4x + x = 15

combine like terms

5x = 15

divide both sides by five

x = 3

3 0

3 years ago

The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juveni

Sloan [31]

Answer:

Confidence level is (380.7133, 533.2867)

Step-by-step explanation:

Responses in number of tongue flicks per 20 minutes of lizards, are: 727,217, 268, 438, 625, 319, 200, 591, 574, 727, 693, 336, 302, 761, 268, 353, 370

n = 17

Mean (μ) is:

$\mu=\frac{{\Sigma}x}{n} = \frac{727+217+ 268+ 438+ 625+ 319+ 200+ 591+ 574+ 727+ 693+ 336+ 302+ 761+ 268+ 353+ 370}{17} = 439.3529$

Standard deviation (σ) is:

$\sigma=\sqrt{\frac{\Sigma(x-\mu^2)}{n} } =\sqrt{\frac{(727-457)^2+(217-457)^2+...+(370-457)^2}{17} } =191.2$

The confidence interval (c) = 90% = 0.9

$\alpha=1-0.9=0.1\\\frac{\alpha }{2} = 0.05\\Z_{\frac{\alpha }{2} }=1.64$

Margin of error (e) = $=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }=1.64*\frac{191.2}{\sqrt{17} }=76.2867$

Confidence level = μ ± e = 457 ± 76.2867 = (380.7133, 533.2867)

8 0

4 years ago

How would 3,050,000 be expressed in scientific notation?

BartSMP [9]

Scientific notation is written as #.## x 10^#.
Our number, 3,050,000, needs to be written in scientific notation.
The best way to write scientific notation is by "#.## x 10^#".
In this case, it will be 3.05 x 10^#, # being the amount of times we move the decimal to the right. We have moved it 6 times to the right, so our expression is:
3.05 x 10^6.
I hope this helps!

3 0

4 years ago

Read 2 more answers

Plz help quick it’s due in 20 min

strojnjashka [21]

15/8 that’s your answer

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to 6(5m-7) a 11m-13 b 11m-42 c 30m-13 d 30m-42

Ksivusya [100]

Answer: