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3 years ago

10) what is the area ratio 11) what is the area of RST HELP ASAP EMERGENCY

Mathematics

1 answer:

dlinn [17]3 years ago

8 0

9514 1404 393

Answer:

10) C 4/9

11) B 24

Step-by-step explanation:

10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...

RS/LM = 6/9 = 2/3

Then the area ratio is ...

(2/3)² = 4/9

11) Using the result of question 10, the area of ∆RST is ...

(4/9)(54 in²) = 24 in²

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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.

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3 years ago

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime

earnstyle [38]

Answer:

2.69 x $10^{9}$

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

1 year = 365 days
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73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x $10^{9}$ ≈ 2.69 x $10^{9}$

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3 years ago

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Vikki [24]

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Step-by-step explanation:
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The second option that is flog6e is the right option among all the given options.

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3 years ago

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vlada-n [284]

(343.98)x400,000/(413.4)
137,592,000/413.4
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3 years ago

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dimulka [17.4K]

Answer:

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