The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.
The complete question is attached below.
What is the volume and surface area of the pyramid?Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
The surface area of the pyramid will be
SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)
Then the volume will be
V = (7 × 7 × 8) / 3
V = 392/3 cubic units
Then the surface area will be
SA = 2(1/2 × 7 × 10) + 2(1/2 × 7 × 10) + (7 × 7)
SA = 189 square units
Then the correct option is A.
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what 12x12x34x5÷2 equal? 26 points and first one will get brainliest
Answer:
it should be 12240 !
Step-by-step explanation:
sorry if this is wrong, but im fairly certain its right :]
Imagine that the two lines stay parallel, but you could drag pointsA, B, and,C to make any triangle in the world.
Click two or more angles that you think are ALWAYS congruent no matter where you drag the points.
Then explain your thinking
Answer:
this sounds familiar i would pick A or B
Step-by-step explanation:
I'm in tenth grade so I want to try to help as much as I can!!!
please help me, thank you! :)
Answer:
x=-4
Step-by-step explanation:
2(x+6)=4
2x+12=4
2x=4-12
2x=-8
x=-4
Answer:
x = -4
Step-by-step explanation:
First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4
Next subtract 12 on both sides to get -8.
Lastly divide 2 on both sides to get x = -4
Hope this helps :)
3. The following table lists the probability distribution for cash prizes in a lottery conducted at Lawsons Department Store; Prize(S) Probability 0.45 0.30 100 0.20 500 0.05 If you buy a single ticket, what is the probability that you will win: 10 a. Exactly $100? b. At least $10? c. No more than $100? d. Compute the mean, variance, and standard deviation of this distribution.
The mean is approximately $45.135, the variance is approximately 23776.2276, and the standard deviation is approximately $154.28.
To answer the given questions, let's calculate the probabilities step by step:
a. To find the probability of winning exactly $100, we look at the probability associated with that specific prize:
Probability of winning exactly $100 = 0.20
b. To find the probability of winning at least $10, we need to add the probabilities of winning $100, $500, and $10 (since winning $10 is included in "at least $10"):
Probability of winning at least $10 = Probability($100) + Probability($500) + Probability($10)
= 0.20 + 0.05 + 0.45
= 0.70
c. To find the probability of winning no more than $100, we need to add the probabilities of winning $0, $100, and $10 (since winning $10 and $100 are included in "no more than $100"):
Probability of winning no more than $100 = Probability($0) + Probability($100) + Probability($10)
= 0.30 + 0.20 + 0.45
= 0.95
d. To compute the mean, variance, and standard deviation of the distribution, we can use the following formulas:
Mean\((µ) = Σ (xi * pi)\)
Variance\((σ^2) = Σ [(xi - µ)^2 * pi]\)
Standard Deviation (σ) = √(Variance)
Using the given table, we can calculate:
Mean = (0.45 * 0.30) + (100 * 0.20) + (500 * 0.05) = 0.135 + 20 + 25 = 45.135
Variance = \([(0 - 45.135)^2 * 0.30] + [(100 - 45.135)^2 * 0.20] + [(500 - 45.135)^2 * 0.05]\) = 729.2457 + 2509.1002 + 20737.8817 = 23776.2276
Standard Deviation = √Variance = \(\sqrt{23776.2276}\) ≈ 154.28
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What is the equation of this line?
A.) y=1/2x-2
B.) y=2x-2
C.) y=-1/2-2
D.) y=-2x-2
Answer:
Plug the x and y values to get it
Step-by-step explanation:
A group of 75 math students were asked whether they
like algebra and whether they like geometry. A total of
45 students like algebra, 53 like geometry, and 6 do
not like either subject.
Algebra vs. Geometry
Likes Algebra
Does Not
Like Algebra
Total
Likes
Geometry
Mark this and return
a
3
53
Does Not
Like Geometry
b
6
e
Total
45
P
75
What are the correct values of a, b, c, d, and e?
a 16, b = 29, c = 22, d = 30, e = 24
a = 29, b = 16, c = 30, d = 22, e = 24
a 16, b = 29, c = 24, d = 22, e = 30
H
a = 29, b = 16, c = 24, d = 30, e = 22
The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.
For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:
We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.
75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)
Simplifying this equation, we have:
75 = 98 + 6
75 = 104
This equation is incorrect, so we can eliminate options c and d.
Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.
Using the correct values for a and b, we have:
16 + b = 6
b = 6 - 16
b = -10
Since we can't have a negative value for the number of students, option a is also incorrect.
The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.
Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)
Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)
Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)
Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)
All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.
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Statistics problem: Independent, find this P(A and B) =
Event A has probability 0.4. Event B has probability 0.5 If A and B are independent, then the probability that both events occur is
A) 0.0
B) 0.9
C) 0.7
D) 0.2
E) 0.1
The probability P(A and B) has a value of (d) 0.2
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Event A has probability 0.4. Event B has probability 0.5These mean that
P(A) = 0.4
P(B) = 0.5
From the question, we have
The events are independent events
This means that
P(A and B) = P(A) * P(B)
So, we have
P(A and B) = 0.4 * 0.5
Evaluate
P(A and B) = 0.2
Hence, value is 0.2
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in this activity, you will connect doing business with using the tools of algebra. You've seen a lot of scenarios in which people business use algebra to ensure or monitor their success, including maximizing profit, reaching revenue goals, and calculating the consequences of price increases. Imagine that you're involved in a business venture that could benefit from algebraic expressions and calculations . If you've been involved in such a business , recall what that experience entailed Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor . Also include ways in which the business might operate differently with those tools than without them.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Compare and contrast the following two equations. Determine if they are linear equations and explain why or why not.
Answer:
xy = -1 and y = -1/x are the same.
They are not linear equations because they are not written in the form
Ax + By = C.
Help Answer with STEPS on how to do it
NO LINKS PLEASE- OR I SWEAR-
What is the mean (average) of this data set? 50, 60, 60, 70 *
A. 70
B. 60
C. 80
Answer:
60
Step-by-step explanation:
To find the mean;
add up the data
(50+60+60+70) =240
Then divide by the number of data points
240/4 = 60
The mean is 60
-3(x+n)=x
solve for x
Answer: x = (-n/2)
Step-by-step explanation:
-3(x+n)=x Problem:
-3x-n=x Distributive property
-n=2x Add 3x to both sides
2x=-n Switch equation around to make it easier to look at
x= -n/2 Divide by 2 on each side
is 1/6 a rational number?
Answer:
yes 1/6 is a rational number.
a new printing press can print newspapers twice as fast as the old one can. the old one can print the afternoon edition in 4 hours. find how long it takes to print the afternoon edition if both printers are operating.
The speed of both printers operating together is 1.333 hours which was found using the given data.
What is distance, time and speed?The formula used to explain the connection between speed, distance, and time is speed = distance/time.
Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.
Let,
a = Speed of New printing press
b = Speed of Old printing press
x = Speed of both printers operating together
We know that,
(1/a)+(1/b)=(1/x)
(1/2)+(1/4)=(1/x)
(4/8)+(2/8)=(1/x)
6/8=1/x
x=8/6
x=1.333
Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.
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being able to calculate product, average product, and marginal product is important to operate efficiently and maximize profits.
The total product average product and marginal product are important to operate efficiently and maximize profits. Option D is the correct answer.
Being able to calculate the total product, average product, and marginal product is important for businesses to operate efficiently and maximize profits.
The total product is the overall output produced by a business, while the average product is the output per unit of input, and the marginal product is the change in output resulting from a change in input.
These calculations can help businesses optimize their production processes by identifying the most efficient levels of input and output.
By maximizing their output while minimizing their input costs, businesses can increase their profitability and gain a competitive advantage in the market.
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The question is -
Being able to calculate the total product average product and the marginal product is important:
a. for determining demand and supply.
b. when filing taxes.
c. to keep competition in check.
d. to operate efficiently and maximize profits.
|-12-(-8)|= simply expression
The CEO has left the company, so the stock prices have changed. The price has changed from $120 per share to $90 per share.
Answer:
120-90
=30
the change in stock price is $30 per share
need help with another HW assignment.
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
Answer:
answered on graph below.
Answer:
See belowStep-by-step explanation:
Given inequality:
5x - y > - 3Rewrite is as:
y < 5x + 3Select two points on the line y = 5x + 3:
x = 0, y = 3x = 1, y = 5 + 3 = 8Connect these two pints (0, 3) and (1, 8) with a dashed line.
Shade the region below the line (to the right).
See attached
a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?
Technically efficient, is what pizza parlor is but not allocatively efficient nor economically efficient
What is meant by Technical efficiency? Give an example.
The effectiveness with which a several set of inputs is employed to generate an output is called as technical efficiency. Technical efficiency refers to a company's ability to generate the highest amount of output from the least amount of inputs, such as labor, capital, and technology.
Technical effectiveness eliminates the wants for resource unemployment.
Consider the following example : Using its present staff and robot count, a company manufactures 300 automobiles every week. if 320 was the highest possible output.
The company's technical efficiency rate is (300/320) = 93.75%.
In this example , certain employees and factor inputs are underutilized, and some potential production is lost.
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what is x if f ( x) = 23?
In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:
y=23.
That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.
Usually functions of x are expressed in terms of x, such as:
f(x) = x^2
b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
which rigid motion the triangles are congreunt by SAS
If two triangles are congruent by SAS, it means that they have two sides and the included angle that are equal.
In other words, one triangle can be transformed into the other by a rigid motion that involves a translation, a rotation, or a reflection. The specific rigid motion that is used depends on the orientation and position of the triangles in space.
For example, if the triangles are in the same plane and one is simply rotated or reflected to match the other, a rotation or reflection would be used. If the triangles are in different planes, a translation would be needed to move one to the position of the other before a rotation or reflection could be used.
Ultimately, the specific rigid motion used to show congruence by SAS will depend on the specific characteristics of the triangles involved.
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you play a game on your phone. For every correct move you make, you receive 40 points. For every second that it takes you to complete you loss 4 points. It takes you 1 minute and 33 second. how many points do you have?
- 45 × 47 solve using distributive property
Answer: -2115
Step-by-step explanation:
We can use the distributive property to simplify the calculation of -45 × 47 as follows:
\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)
Refer to the attachment below for explanation
Therefore, -45 × 47 = -2115 when using the distributive property.
________________________________________________________
To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:
\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
X+y=150/2
x+y=75 find the solution using cramers rule
Answer:
I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y
Step-by-step explanation:
Solve by simplifying both sides of the equation, then isolating the variable.
helpppppppppppppppppppppppp
Answer:
the first one
Step-by-step explanation:
10q, 3q, and 2
What is the area of a circle with a diameter of 80m? (hint : you have to find the radius first)
Answer:
A = 5026.548246 m²
Step-by-step explanation:
Equation for Area of a Circle: A = πr² where r is the radius.
The radius of a circle is always half the diameter. Since we know the diameter is 80m, we can divide by 2 to find our radius.
80/2 = 40m
Now that we have found our radius, we can plug the value into r and solve.
A = π(40)² = 5026.548246 m²
You have completed various experiments with both 50 and 80 kg masses. If you were to complete the above simulation with a 150 kg mass, how much force would be required to move the load?
Answer:
20
Step-by-step explanation:
if you already completed various experiments with 50 and 80, add those 2 and you get 130. Then just subtract 150 and 130 and you should get 20.
please let me know if this is correct, i didn't really understand the question that well but this is what seems correct from the way i am looking at it.
hope this helps!!
What is equivalent to