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3 years ago

Please help I know the answer but I need to know the work please explain Answer is b

Mathematics

1 answer:

zhenek [66]3 years ago

7 0

Answer:

$\huge\boxed{\sf B.}$

Step-by-step explanation:

Geometric Mean is a type of average in which we multiply the number given and put a square root on it.

Geometric Mean of 4 and 7:

$\sf \sqrt{4*7} \\\\\sqrt{2^2*7} \\\\= 2\sqrt{7} \\\\\rule[225]{225}{2}$

Hope this helped!

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You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = $x$

Then, length will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

Width = $x$ = 70 feet

Then, length will be = $x+22$ = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.

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Answer:

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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level

aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.* (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level x

1 0.411

2 0.278

3 0.221

4 0.080

5 0.010

Calculating the mean ( $\bar{x}$ )

$\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2$

∴Mean = 0.2

level x $x- \bar{x}$ $(x - \bar{x})^2$

1 0.411 0.211 0.0445

2 0.278 0.078 0.0608

3 0.221 0.021 0.000441

4 0.080 -0.12 0.0144

5 0.010 -0.19 0.0361

$\sum(x - \bar{x})^2 = 0.1562$

$variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391$

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox. category 2 (B)

8 0

3 years ago