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3 years ago

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

1 answer:

4 0

We have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

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A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

How likely is it that you would push a green button if your eyes are closed

Harrizon [31]

Answer:

This really depends on the situation, and many variables. Is there a specific moment? Multiple buttons? Would you mind giving more context or is that it?

8 0

2 years ago

Read 2 more answers

Wich number line represents the solution set for the 2x-6>6(x-2)+8

Fantom [35]

Well...
2x-6x>-12+8-6
-4x>-10
Attention! ">" change for "<" because we multiply both members for (-1)
x<10/4
It is the same to say (-infinite ; 10/4) or (-infinite ; 5/2) or (-infinite ; 2.5)
Good luck!
M.

3 0

3 years ago

(2/5) + ( -1/4). Show your work by using the “butterfly” method.

pashok25 [27]

Answer:

0.15

Step-by-step explanation:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add the top numbers (the numerators), put that answer over the denominator

Step 3: Simplify the fraction (if needed)

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2 years ago

What is the slope of a linear that is perpendicular to the line y=-1/2x+5?

Vlada [557]

Step-by-step explanation:

Equation of given line is:

$y = - \frac{1}{2} x + 5 \\ \\ equating \: it \: with \: y =m_1x + c \\ we \: find \: \\ m_1 = - \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\ \\ \therefore \: m_1 \times m_2 = - 1( \because \: lines \: are \: \perp) \\ \\ \therefore \: - \frac{1}{2} \times m_2 = - 1\\ \\ \therefore \: m_2 = 2 \\$

Thus, the slope of required line is 2.

6 0

2 years ago