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professor190 [17]
2 years ago
9

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centime

ters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter
Mathematics
2 answers:
olga_2 [115]2 years ago
7 0
I think 452cm^3
Voulme of one cylinder times 6
goldenfox [79]2 years ago
3 0

Answer:

Soil required = 453 cm³

Step-by-step explanation:

Volume of cone =\frac{1}{3}\times \texttt{base area}\times \texttt{depth}

Base area of cone =\pi r^2=\pi \times 3^2=9\pi cm^2

Depth of cone = 8 cm

Volume of one cone =\frac{1}{3}\times 9\times \pi \times 8=75.39cm^3

Volume of six cones = 6 x 75.39 = 452.39 cm³ = 453 cm³

Soil required = 453 cm³

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Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

7 0
1 year ago
Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expres
Tems11 [23]

Answer:

y = 3/8x

or

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

\frac{3}{4} (\frac{1}{2} )= \frac{3}{8} cups of sugar.

8 0
2 years ago
Read 2 more answers
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
Lubov Fominskaja [6]
<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

Substituting values:

V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

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2 years ago
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Vineet can conclude that:
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Which inequality represent all values of x for which the quotient below is defined??
Liono4ka [1.6K]

Answer:

the answer is b. because x is either grater or equal.

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