(3/2)x - -4 =13 what is x?

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

Answer:

x=6

Step-by-step explanation:

(3/2)x - -4 =13

(3x/2)+4=13

Make 3x/2 the subject

3x/2=13-4

3x/2=9

Cross multiply

3x=9(2)

Divide both sides by 3

3x/3= 9(2)/3

x=3(2)

x=6

To check if correct, substitute x for 6 in the equation. And both sides of the equation must be equal

(3/2)x - -4 =13

(3/2)6 - -4 =13

18/2+4=13

9+4=13

13=13

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Answer:

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Step-by-step explanation:

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2 2/3 = 2 4/6

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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:

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