Help with geometry.......

Mathematics

1 answer:

Dafna1 [17]4 years ago

5 0

The first two choices are correct.

Similar triangles always have proportionate sides and equal angles

But they never have proportionate angles and equal sides

Hope this helps

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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

What percent of 60 is 45

kifflom [539]

Answer:

75%

Step-by-step explanation:

The simple way would be to just divide 45 by 60 (45/60) = .75

then to turn into a percentage you multiply by 100 (.75 times 100) =75

Final answer 75%

4 0

3 years ago

What is the percentage of 18/20

labwork [276]

18/20 is 90%

You can use a calculator to divide 18 and 20 and you will get 0.9 which is 90%

Or. simplify by dividing the top and bottom by 2, to get 9/10 which is still 90%

:)

7 0

3 years ago

Read 2 more answers

The formula for the area of a triangle is A = one-half b h. Which is the equivalent equation solved for h? StartFraction 2 A Ove

tensa zangetsu [6.8K]

Answer:

StartFraction 2 A Over b EndFraction = h

Step-by-step explanation:

$A = \frac{1}{2} \times b \times h \\ \\ 2A = b \times h \\ \\ \huge \red{ \boxed{h = \frac{2A}{b}}} \\$