The base of a solid right pyramid is a square with an
edge length of n units. The height of the pyramid is n
1 units
Which expression represents the volume of the
pyramid?
VA
on(n-1) units
on(n-1)2 units
or’n - 1) units
on*(n − 1) units
(n-1)
n

The Base Of A Solid Right Pyramid Is A Square With Anedge Length Of N Units. The Height Of The Pyramid

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Base area = n^2

V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)

Answer 2

The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³

What is the volume of a pyramid?

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the base edge length of the solid pyramid be = n units

So , the base area of the pyramid = n² units²

Let the height of the pyramid be = ( n - 1 ) units

And , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

V = ( 1/3 ) n² ( n - 1 ) units³

Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³

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Related Questions

A student tosses 4 coins.

What is the probability that all 4 coins show heads?

Answers

Step-by-step explanation:

There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.

According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.

Answers

Answer:

[tex]H_o:\mu = 395000[/tex]

[tex]H_a:\mu < 395000[/tex]

Step-by-step explanation:

Given

[tex]\mu = 395000[/tex] -- mean price

Required

Determine the null and alternate hypotheses

From the question, we understand that the mean price is:

[tex]\mu = 395000[/tex]

This represents the null hypothesis

[tex]H_o:\mu = 395000[/tex]

The belief that the home prices are lower represents the alternate hypothesis

Lower means less than

So, the alternate hypothesis is:

[tex]H_a:\mu < 395000[/tex]

find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3

Answers

Answer:

The Question isn't clear

Step-by-step explanation:

Answer:

can someone please answer this question correctly for me. i need it asap

Step-by-step explanation:

name two rays that contain the following line segments:

__
TV

__
XZ​

Answers

segment TV:

ray WU

ray TU

segment XZ:

ray WZ

ray XZ

If can someone help me.

Answers

9514 1404 393

Answer:

  Tim is correct. 5/8 > 1/2

Step-by-step explanation:

By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.

Tim's 5/8 share is the largest.

Create a data set such that the median is 19 the mode is 24 the mean is 25

Answers

Answer:

-80, 4, 5, 6, 19, 24, 24, 24, 24

Pls help school is almost over

Answers

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

Express it in slop-intercept form​

Answers

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. Give your answers to at least 3 decimal places accuracy. Keep the data in Excel and keep the answers below handy, as you will need this information again in later questions. 2. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is: d) The mean for the high income group is: e) The median for the high income group is: f) The standard deviation for the high income group is:

Answers

Answer:

Low income group :

Mean = 22.100

Median = 22.000

Standard deviation = 4.717

High Income group :

Mean = 19.771

Median = 20.000

Standard deviation = 3.255

Step-by-step explanation:

Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22

High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20

Using Excel :

Mean of low income, Σx / n = 884/40 = 22.100

Median of low income group : 1/2(n+1)th term = Median of low income = 22.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 4.717

High Income group :

Mean of high income, Σx / n = 692/35 = 19.771

Median of high income group : 1/2(n+1)th term = Median of high income = 20.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 3.255

A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

How many solutions are there for the system of equations shown on the graph?

A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.

No solution
One solution
Two solutions
Infinitely many solutions

Answers

The lines intersect in two different points, so the system has two solutions. d. The graphs of the two equations are the same line, so there are infinitely many solutions.

Describe the shape that would result from a horizontal slice of the figure below.
PLEASE ANSWER FAST ILL MARK BRAINLEIST.!!!

Answers

Answer:

A triangular prism and a trapezoidal prism, if I understand the question

Step-by-step explanation:

There wound be a trapezoid and a triangle if you cut it horizontally. If you mean vertically, it would be a right triangular prism

Given f(x)= 17- x2, what is the average rate of change in f(x) over the interval [1, 5)?
O -6
O -1/2
O 1/4
O 1

Answers

-6 because it is yeah so


How many hours did we spend in class?
a. 2 hours
b. 3 hours
C. 4 hours
d. 5 hours​

Answers

Answer:

D. 5 hours that's clostest to the actual time we spent

Step-by-step explanation:

the actual time would be more around 6 hours

What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?

Answers

-2x^8+.5x^6+4x^5 is the quotient.

Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).​

Answers

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

if x varies directly as y,write a formula connecting x and y y.use k as a constant of variaton.​

Answers

x = ky

Here, x varies directly as y and k is the constant of variation, so x is equal to k multiplied by y

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of

Answers

Answer:  the minimum sample size needed = 145

Step-by-step explanation:

Formula for sample size:

[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]

, where z* = Critical z-value

Given: Standard deviation = 2.15

Margin of error = 0.35

Z* for 95% confidence = 1.96

Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]

[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]

Hence, the minimum sample size needed = 145

Factor the expression. x2 + 7x+ 10​

Answers

Answer:

Make me a Brainlist pls

Step-by-step explanation:

x²+7x+10=0

ur answer is there in image

a purchasing agent for kelly bread company wants to estimate the mean daily usage of rye flour. she takes a sample for 50 straight days and finds that the sample mean is 180 pounds with a sample standard deviation of 38.5 pounds. State the 90% confidence interval for the mean

Answers

Answer:

The 90% confidence interval for the mean is (170.87 , 189.13)

Step-by-step explanation:

Using the calculator we can easily calculate   the 90% confidence interval for the mean, the given values are:

mean=180

sx : 38.5

n : 50

c - Level : 0.90

Then the output will be [170.87 , 189.13]

Choose the equation for the line that passes through (6, 5) and is parallel to the line x + 3y = 9.

Answers

Answer:

y = -1/3x + 7

Step-by-step explanation:

x + 3y = 9 ⇒ y = -1/3x + 3

Use point-slope form and substitute the values:

[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]

What is the value of log
?
1/100

Answers

I hope this is gelpful for u

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−5,−1) and (−3,−8)

Answers

Answer:

[tex]d=\sqrt{53}[/tex]

Step-by-step explanation:

We need to find the distance between two points i.e. (−5,−1) and (−3,−8).

It can be calculated using distance formula as follows :

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8

Put all the values,

[tex]d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}[/tex]

So, the distance between the points is equal to [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form(-3,5) and (-5,-2)

I will give BRAINLIEST to whoever answers correctly first!!!

Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?

Answers

$3.18

Explanation: I am a cashier hahaha

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median

Answers

Step-by-step explanation:

[tex]median = \frac{1.48 + 1.49}{2} [/tex]

[tex] = \frac{2.97}{2} [/tex]

[tex] = 1.485[/tex]

Pleaseee helpppp!!! 20 points

Answers

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

Kevin was asked to determine the length of side XZ. His work is shown.

Which error did Kevin make?

Answers

Answer:

A.// He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:


The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie

Answers

Answer:

Radius ≈ 7 yd

Step-by-step explanation:

Height = 10

Volume = 1540

Missing radius

Use the formula and work backwards

Formula : πr²h

Plug in the given info:

1540 = 3.14 * r² * 10

Work backwards:

1540/10 = 3.14 * r²

154 = 3.14 * r²

154/3.14 = r²

49.044 = r²

√49.044 ≈ 7

Radius = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.

Let u= (5,-12) and c= -3.What is ||cu||?

A: 21

B: 51

C: 39

D: -39​

Answers

Answer:

CU=-3(5,-12)

CU=36-15

CU=21

The answer is A=21

Answer:

[tex]=21[/tex]

Correct option is A

Step-by-step explanation:

[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]

Given that ZABC = ZDBE, which statement must be
true?
ZABC - ZABD
ZABD Z CBE
Z CBD , ZDBE
Z CBD - ZABC

Answers

Answer:

B abd = cbe

Step-by-step explanation:

ABC = DBE

so

ABC + CBD = DBE + CBD

The statement which is true is ZABC - ZABD, the correct option is A.

What is a solution to a system of equations? (SOLUTION GRAPHICALLY)

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We are given that;

Angle ABC = Angle DBE

Now,

A flowchart proof is a formal proof that is set up with boxes that flow from one to the next with arrows1. The statements, which are true facts that we know, are placed in the boxes, with the reason we know them on a line underneath2. We can prove theorems are true using flowchart proofs.

To justify each step in the flowchart proof, we have to provide a reason for each statement based on definitions, postulates, properties or previously proven theorems. Here is how we can fill in the blanks:

A: Given B: Definition of angle bisector C: Definition of congruent angles

Therefore, graphically the answer will be ZABC - ZABD.

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