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4 years ago

Answer this question…………

Mathematics

2 answers:

Paladinen [302]4 years ago

5 0

The third option is the answer

Korolek [52]4 years ago

5 0

I think it's the 3rd one

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

HURRY!!! HURRY!!! HURRY!!!

podryga [215]

x = $\frac{3}{2}$ ± $\frac{1}{2}$ i

rearrange the equation and equate to zero

2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0

this doesn't factor with integers, hence use the quadratic formula to solve

with a = 2, b = - 6 and c = 5

x = (6 ± √(36 - 40 ) )/4

= (6 ± √(-4) ) / 4

= (6 ± 2i ) / 4

x = $\frac{3}{2}$ ± $\frac{1}{2}$ i

8 0

3 years ago

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zhuklara [117]

Answer:

just a side note, uhh i cant see your pictures. I dont know

if anyone else can or not but yeah

Step-by-step explanation:

6 0

3 years ago

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What is the value of x if 10 – 25x = 5?

alina1380 [7]

10-25x=5

subtract 10 from both sides so 5-10 is -5

so now your left with -25x=-5 then divdie -25x by -5 and rememeber -5 divided by a negative is a positive and positive divided by a posivte is a positive and negavite divided by a positive is negavtive or positive divided by a negative is a negative

so when you divide -25x by -5 you get 5 so your answer is x=-5

3 0

3 years ago

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Find the value of x in the triangle shown below 5.7 5 x 70 5

jonny [76]

Answer:

Step-by-step explanation:

Right on edge

7 0

3 years ago