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3 years ago

How is the area of the parallelogram related to

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer:

Both use bh but triangle is 1/2bh

Step-by-step explanation:

Formulas

Parallelogram bh

Triangle 1/2bh

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HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII68052wassupcan someonetell me whats 1+1 PLZZZZZZZZZZZZZZZZZZZZZZZZZ im

Andrew [12]

Answer:

yooooooo its 2

Step-by-step explanation:

5 0

3 years ago

Pls help it due tomorrow

Sergio039 [100]

Answer:

Finding 1/5 of something is the same as dividing that number by 5. Since 24 isn't divisible by 5, 24 / 5 is not an integer. Since you can't have 4.8 species of animals the answer to (a) is no.

For (b), 1/3 * 24 = 8 and 24 - 8 = 16.

6 0

4 years ago

What is the volume of the cone?

Pavlova-9 [17]

Answer:

$Volume = 1017.36\ in^3$ -- Cone

$Volume = 3052.08\ in^3$ -- Cylinder

$Volume = 3052.08\ in^3$ -- Sphere

<em>Best Buy: Sphere Clay</em>

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

<h2>CONE</h2><h3>Calculating Volume</h3>

The volume of a cone is calculated as thus;

$Volume = \frac{1}{3}\pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{1}{3} * 3.14 * 9^2 * 12$

$Volume = \frac{3052.08}{3}$

$Volume = 1017.36\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 1017.36\ in^3$

$Total\ Cost = \$12$ (Given)

$Volume:Price = \frac{1017.36\ in^3}{\$ 12}$

$Volume:Price = 84.78 in^3/\$$

$Volume:Price = 84.78 in^3:\$1$

<h2>CYLINDER</h2><h3>Calculating Volume</h3>

The volume of a cylinder is calculated as thus;

$Volume = \pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = 3.14 * 9^2 * 12$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$30$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 30}$

$Volume:Price = 101.736\ in^3/\$$

$Volume:Price = 101.736\ in^3:\$1$

<h2>SPHERE</h2><h3>Calculating Volume</h3>

The volume of a sphereis calculated as thus;

$Volume = \frac{4}{3}\pi r^3$

From the attached diagram

Radius, r = 9 inches; and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{4}{3} * 3.14 * 9^3$

$Volume = \frac{9156.24}{3}$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume-Price ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$28$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 28}$

$Volume:Price = 109.003\ in^3/\$$

$Volume:Price = 109.003\ in^3:\$1$

Comparing the Volume:Price ratio of the three clay;

<em>The best buy is the sphere because it has the highest volume:price ratio.</em>

<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>

3 0

3 years ago

b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and

rjkz [21]

Answer:

<em>99% of confidence intervals for mean age of ICU patients</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given sample mean </em> $x^{-} = 57.55$ <em></em>

Given standard error is determined by

S.E = $\frac{S.D}{\sqrt{n} }$

<em>Given data standard error = 1.42</em>

<em>99% of confidence intervals for mean is determined by</em>

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )$

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576$

$(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)$

$(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)$

(53.8920 , 61.2079)

<u><em>Conclusion</em></u>:-

<em>99% of confidence intervals for mean is determined by</em>

5 0

3 years ago

The data depicted in a histogram show approximately a normal distribution if the distribution

Slav-nsk [51]

Answer:

bunches up in the middle and tapers off symmetrically at either end

Step-by-step explanation:

By definition a normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Because the data towards the mean is more frequent in occurrence, the graph peaks at the center. The data occurs less frequently at the tail ends of the distribution, thus the shape of the distribution is a bell shape that peaks at the center and tapers off towards the tails. The key characteristic is that the distribution of data is perfectly symmetrical.

This is why the answer is:

The data depicted in a histogram show approximately a normal distribution if the distribution <u>bunches up in the middle and tapers off symmetrically at either end.</u>

4 0

4 years ago