All categories

3 years ago

What is the volume of this equation?

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>

<em />

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

$V=\frac{a^2 h}{3}$

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

$V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33$

The volume is around 33.33 cubic feet

You might be interested in

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at

Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$

For N=100

<h3>The formula for standard error is $SE_{mean}=\frac{\sigma}{\sqrt{N}}$ </h3>

Substitute the values in the above formula we get

$SE_{mean}=\frac{15}{\sqrt{100}}$

$=\frac{15}{10}$

$=1.50$

∴ $SE_{mean}=1.50$

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>

7 0

3 years ago

Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr

artcher [175]

175:300 but it simplifies all the way down to 7:12

6 0

3 years ago

Read 2 more answers

-2 (-6 - 7n) + 5n = 145<br> What is the answer

aivan3 [116]

Answer:

n=7

Step-by-step explanation:

simplify it and u get

12+19n=145

19n=133

n=7

4 0

3 years ago

Read 2 more answers

A sample of 12 measurements has a mean of 16.5, and a sample of 15 measurements has a mean of 18.6. Find the mean of all 27 meas

Wewaii [24]

Answer: $17.67$

Step-by-step explanation:

Given

Sample of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

Take $\bar{x_1},n_1$ be the mean and no of measurements

and $\bar{x_2},n_2$ be the mean and no of measurements in second case

$\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)$

Similarly,

$\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)$

Mean of 27 measurements

$\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67$

4 0

2 years ago

A computer password consists of eight characters. How many different passwords are possible if each character may be any lowerca

tankabanditka [31]

Answer:

1. 2,821,109,907,456 passwords

2. 2,612,282,842,880 passwords

3. 0.93

Step-by-step explanation:

Number of lower case letters = 26

Number of digits = 10

Total Characters = 26 + 10 = 36

Length of password = 8

1. Each character can be chosen from 36 objects (26 lowercase letters and 10 digits).

Since there's no restriction on repetition of characters, there are

(26+10)^8 different passwords

= 36^8

= 2,821,109,907,456 passwords

For atleast one character to be a must be a digit means 1 character or 2 character or 3 characters... and so on

So we calculate by looking at no character being a digit

and then subtract the result from the total(36^8).

No character being a digit = All the characters are only letters

I.e. 26^8

Atleast one character being a digit = 36^8 - 26^8

= 2,821,109,907,456 - 208,827,064,576

= 2,612,282,842,880 passwords

Probability = Number of possible outcomes/Number of Total outcomes

Number of possible outcomes = Number of Atleast 1 digit = 36^8 - 26^8 (as in question 2)

Total outcomes = 36^8

Probability = (36^8 - 26^8) / 36^8

= 2,612,282,842,880 / 2,821,109,907,456

= 0.92597698373108952

= 0.93 (approximated)

4 0

3 years ago