The required volumes and expression are 125 cube inches, 64 cube inches. and volume = x³ cube inches.
Explain about Cube.A solid cube has six square faces and is a solid shape. Because the sides of each square face are the same length, they are all the same size. A cube has eight vertices and twelve edges. A corner in a cube is referred to as a vertex by each vertex.
According to question:we have given Two cubes of dimensions are 5 in and x in
For first cube
volume = L×W×H
volume = 5×5×5
volume = 125 cube inches.
for second cube
volume = x * x * x
volume = x³ cube inches
Now volume t x = 4 inches
volume = 4³
volume = 64 cube inches.
Thus, required volumes and expression are 125 cube inches, 64 cube inches. and volume = x³ cube inches.
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A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
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What is the sum of the first 10 even multiples of 8?
A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation:
a. Consider the situation where you have three game chips, each labeled with one of the the numbers 3, 5, and 10 in a hat a. If you draw out 2 chips without replacement between each chip draw, list the entire sample space of po ssible results that can occur in the draw Use the three events are defined as follows, to answer parts b through n below:
Event A: the sum of the 2 drawn numbers is even.
Event B: the sum of the 2 drawn numbers is odd.
Event C: the sum of the 2 drawn numbers is a prime number
Now, using your answer to part a find the following probability values
b. P (A)=
c. P (B)=
d. P (C)=
e. P (A and C)-=
f. P(A or B)=
g. P (B andC)=
h. P(A or C)- =
i. P (C given B)=
j. P(C given A)=
k. P (not B)=
l. P (not C)=
Are events A and B mutually exclusive?Why or why not?
Are events B and C mutually exclusive? Why or why not?
Answer:
a) {3,5}{3,10}{5,10}
b) \(P(A)=\frac{1}{3}\)
c) \(P(B)=\frac{2}{3}\)
d) \(P(C)=\frac{1}{3}\)
e) \(P(A and C)=0\)
f) \(P(A or B)=1\)
g) \(P(B and C)=\frac{1}{3}\)
h) \(P(A or C)=\frac{2}{3}\)
i) \(P(C given B)=\frac{1}{2}\)
j) \(P(C given A)=0\)
k) \(P(not B)=\frac{1}{3}\)
l) \(P(not C)=\frac{2}{3}\)
Yes, events A and B are mutually exclusive. Because the results can either be even or odd, not both. No, events B and C are not mutually exclusive because the result can be both, odd and prime.
Step-by-step explanation:
a)
In order to solve part a of the problem, we need to find the possible outcomes, in this case, the possible outcomes are:
{3,5}{3,10} and {5,10}
We could think of the oppsite order, for example {5,3}{10,3}{10,5} but these are basically the same as the previous outcomes, so we will just take three outcomes in our sample space. We can think of it as drawing the two chips at the same time.
b)
Now the probability of the sum of the chips to be even. There is only one outcome where the sum of the chips is even, {3,5} since 3+5=8 the other outcomes will give us an odd number, so:
\(P=\frac{#desired}{#possible}\)
\(P(A)=\frac{1}{3}\)
c) For the probability of the sum of the chips to be odd, there are two outcomes where the sum of the chips is odd, {3,10} since 3+10=13 and {5,10} since 5+10=15 the other outcomes will give us an even number, so:
\(P(B)=\frac{2}{3}\)
d) The probability of the sum of the chips is prime. There is only one outcome where the sum of the chips is prime, {3,10} since 3+10=13 the other outcomes will give us non prime results, so:
\(P(C)=\frac{1}{3}\)
e) The probability of the sum of the chips to be even and prime. There are no results where we can get an even and prime number, since the only even and prime number there is is number 2 and no outcome will give us that number, so:
P(A and C)=0
f) The probability of the sum of the chips is even or odd. We can either get even or odd results, so no matter what outcome we get, we will get an odd or even result so:
\(P(A or B)=1\)
g) The probability of the sum of the chips is odd and prime. There is only one outcome where the sum of the chips is odd and prime, {3,10} since 3+10=13 the other outcomes will give us non prime results, so:
\(P(B and C)=\frac{1}{3}\)
h) The probability of the sum of the chips is even or prime. There are two outcomes where the sum of the chips is even or prime, {3,10} since 3+10=13 and {3,5} since 3+5=8 so:
\(P(A or C)=\frac{2}{3}\)
i) The probability of the sum of the chips is prime given that the sum of the chips is odd. There are two possible results where the sum of the chips is odd {3,10} and {5,10} and only one of those results is even, {3,10}, so
\(P(C given B)=\frac{1}{2}\)
j) The probability of the sum of the chips is prime given that the sum of the chips is even. There is only one possible even result: {3,5} but that result isn't prime, so
\(P(C given A)=0\)
k) The probability of the sum of the chips is not odd. There is only one outcome where the sum of the chips is not odd (even), {3,5} so:
\(P(not B)=\frac{1}{3}\)
l) The probability of the sum of the chips is not prime. There are two outcomes where the sum of the chips is not prime, {3,5} and {5,10} so:
\(P(not C)=\frac{2}{3}\)
Are events A and B mutually exclusive?
Yes, events A and B are mutually exclusive.
Why or why not?
Because the results can either be even or odd, not both.
Are events B and C mutually exclusive?
No, events B and C are not mutually exclusive.
Why or Why not?
Because the result can be both, odd and prime.
PLS HELP ASSAP whats 10,0000,0000,000 times 40,000,000
Answer:
40000000000000000000
Step-by-step explanation:
Answer:
4×10^19Step-by-step explanation:
1000000000000 = 10^1240000000 = 4×10^7Product of the two numbers above:
10^12 × 4*×10^7 = 4×10^1918. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year. Find the total number of raffle tickets sold at the end of 9 years.
Select the correct answer below:
9,158
9,351
9,818
10,666
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.
The total number of raffle tickets sold at the end of 9 years is approximately 9,818.
To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.
Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.
Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4
Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92
Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666
Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)
Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56
The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.
The correct option is 9,818.
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Find an equation of the plane consisting of all points that are equidistant from \( (-1,-5,4) \) and \( (2,1,1) \). Note: you have to enter the full equation.
Let
�
(
�
,
�
,
�
)
P(x,y,z) be any point on the plane. Then, by the distance formula, we have:
\begin{align*}
\sqrt{(x+1)^2+(y+5)^2+(z-4)^2} &= \sqrt{(x-2)^2+(y-1)^2+(z-1)^2} \
\Rightarrow (x+1)^2+(y+5)^2+(z-4)^2 &= (x-2)^2+(y-1)^2+(z-1)^2 \
\Rightarrow x^2+2x+1+y^2+10y+25+z^2-8z+16 &= x^2-4x+4+y^2-2y+1+z^2-2z+1 \
\Rightarrow 6x+12y+6z &= -9
\end{align*}
Therefore, the equation of the plane is
2
�
+
4
�
+
2
�
=
−
3
2x+4y+2z=−3
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Simplify the expression: 4(2 + 6j)
Answer:
\(8+24j\)
Step-by-step explanation:
\(4(2+6j)\)
Apply the distributive law: \(a\left(b+c\right)=ab+ac\)
Thus,
\(4* \:2+4* \:6j\)
\(8+24j\)
Answer:
24j + 8
Step-by-step explanation:
multiply 2 and 6j with 4
draw a mapping determine whether the relation is a function (-5,-1),(-4,1),(-3,3),(-1,5),(1,7)
The graph of the relation can be seen in the image at the end, there we can see that the relation is a function.
How to determine if the relation is a function?
A function is a relation where each input is mapped into a single output, where the notation is (input, output).
The inputs go on the horizontal axis and the outputs on the vertical axis.
Here we have the following relation:
(-5,-1), (-4,1), (-3,3), (-1,5), (1,7)
The graph of these points can be seen on the image below. There you can see that there are no two points on the same vertical line, that means that the relation is a function.
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circumference of circle 132cm find the area of circle is
Answer: 1386 sq.cm.
Step-by-step explanation:
2Pi r= 132
2 * 22/7 * r = 132
r = 21
Area = pi * r * r
= 22/7 * 21 * 21
= 1386 sq.cm.
Hope this helps :))
Suppose that the quantity supplied S and quantity der
S(p) = - 250 + 60p
D(p) = 1100 - 75p
Find the equilibrium price for the TShirts at the concert
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can hold at most 130 people. The drama club must make no less than $900 from ticket sales to cover the show's costs. If
x
x represents the number of student tickets sold and
y
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is:
5x + 10y ≥ 900 (total ticket sales must be at least $900)
x + y ≤ 130 (total number of tickets sold must be at most 130)
One possible solution is x = 70 (student tickets) and y = 60 (adult tickets).
To write a system of inequalities based on the given information, we can consider the revenue from ticket sales and the seating capacity of the auditorium:
Let x represent the number of student tickets sold, and y represent the number of adult tickets sold.
Revenue inequality:
The drama club must make no less than $900 from ticket sales, so the revenue equation is: 5x + 10y ≥ 900. This equation ensures that the total revenue from ticket sales is at least $900.
Seating capacity inequality:
The auditorium can hold at most 130 people, so the total number of tickets sold cannot exceed this limit: x + y ≤ 130.
To solve this system of inequalities graphically, we plot the inequalities on a graph. The shaded region where the inequalities overlap represents the feasible region or the possible solutions.
One possible solution within this feasible region could be x = 70 (student tickets) and y = 60 (adult tickets). This combination satisfies both inequalities and fulfills the revenue requirement of at least $900.
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Does anyone have Envision volume 2 book for 5th grade I need only lesson 13? 2 page ?
I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:
Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers – enVision Math Answer Key ( 1 )5th Grade Envision Topic 13 Lessons Teaching Resources | TPT ( 2 )IXL skill plan | 5th grade plan for enVisionMATH 2.0 ( 3 )I hope this helps you with your homework.
Which expressions are equivalent to 64^1Check all that apply
The right answers are:
4^38^22^6Hope it helps.
please see the attached picture for full solution
Good luck on your assignment
11. A student borrowed 2 books in the Library Hub on Monday, anome 4 books on Tuesday, and returned 3 books on Thursday. How many books does the student have? A 9 books C 3 books B 6 books D. 2 books
Answer:
C - 3 Books.
Step-by-step explanation:
The student borrowed 2 books on Monday, and another 4 books on Tuesday, so 2 + 4 = 6. Since the student later returned 3 of said books, we can do 6 - 3 = 3. The student ends up with 3 books in total.
HELP ASAP, FIRST ANSWER GETS BRAINLIEST,
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.
K′(−4, −4)
K′(−4, −5)
K′(−4, 6)
K′(−4, −8)
The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)
How to determine the image of the coordinates KBased on the given question, we have certain variables that can be utilized for our calculations.
K = (-4, -6)
First, find the equation of the reflection line
The reflection line is y = -7.
This can be expressed as
y = a = -7
The image of the reflection is then calculated as
K' = (x, -(y + 2|a|))
Replace the given or established values in the equation mentioned earlier, resulting in the following expression
K' = (-4, -(-6 + 2 * 7))
Evaluate
K' = (-4, -8)
Hence, the image coordinates of K′ are (-4, -8).
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which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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3 points
A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater
volume? Use the drop-down menus to explain your answer.
Volume of a Rectangular Prism: V = lwh
Volume of a Cylinder: V = ²h
✓has the greater volume because the choose your answer... V
The choose your answer...
extra space between the two figures.
fits within the
choose your answer....
with
The rectangular prism has a greater volume than the Cylinder.
Since the rectangular prism has a greater volume than the cylinder because the rectangular prism fully occupies the space within its boundaries, while the cylinder has empty space above and below it.
The cylinder is rounded shape leaves gaps between its curved surface and the boundaries of the rectangular prism.
Therefore, the rectangular prism could hold more volume than the cylinder as it utilizes the entire space within its shape efficiently.
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A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height.
Which is the best estimate for the current height of the building?
400 meters
350 meters
480 meters
450 meters
Answer:
450 meters
Step-by-step explanation:
77% or 0.77
596 × 0.77 = 458.92
458.92 ≈ 459 ≈ 450 meters
Double Check: 100% - 77% = 23% or 0.23
596 × 0.23 = 137.08
137.08 + 458.92 = 596
Anything helps! Thank you :).
The measure of <BDC is 68 degree.
What are parallel Lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.First, Interior of ( 2y+ 34) = 180 - (2y + 34)
= 146- 2y
Now, using Corresponding Angle
74 = 146 - 2y
2y= 72
y= 72 / 2
y= 36
Second, Using Linear Pair
-7x+ 12 + (-8x+ 48)= 180
-7x + 12 - 8x + 48 = 180
-15x + 60 = 180
-15x = 120
x= -8
So, <BDC = -7x+ 12 = 56+ 12 = 68 degree
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1.1 Define the basic charge in the given context.
The basic charge refers to a fixed fee or cost that is charged for a service or utility regardless of the actual usage or consumption.
In the given context, the term "basic charge" refers to a fixed fee or cost that is charged for a particular service or utility regardless of the actual usage or consumption.
It is a standard or minimum charge that is applied uniformly to all customers or users, typically to cover the basic infrastructure or administrative costs associated with providing the service.
The basic charge is often separate from any variable charges based on usage or additional services.
It is a recurring fee that customers are required to pay regardless of their specific usage level.
The purpose of the basic charge is to ensure a baseline revenue for the service provider and to contribute to the maintenance and operational costs of the service infrastructure.
It provides a consistent source of income and helps to distribute the costs among all customers fairly.
The basic charge is usually set at a fixed amount or a predetermined rate and may vary depending on the type of service or utility being provided, such as electricity, water, internet, or telecommunications.
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The complete question may be like: Define the basic unit of currency in the United States and explain its significance in the context
What is the volume of the sphere? Use 3.14 for pi. Round to the nearest whole number.
423 m³
423 m³
2144 m³
2144 m³
1582 m³
1582 m³
985 m³
Find the missing number. __-(-2)=-4
Answer:
-6
Explanation:
We can rewrite the expression as follow:
___ - ( - 2) = - 4
___ + 2 = - 4
Because two consecutive negative signs are equivalent to a positive sign.
So, we need to find a number that added to 2 is equal to -4.
This number is -6 because:
- 6 + 2 = - 4
Therefore, the missing number is -6
MATH HELP ASAP :( Write a polynomial f(x) that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient. Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 9-41 and 0 (multiplicity 2).
Answer:
\(f(x)=((x-9)^2+16)x^2\)
\(f(x)=x^4-18x^3+97x^2\)
Step-by-step explanation:
If you want to, I could add the explanation as well. Just notify me.
Something really important I want to note is that since 9-4i is a zero, then 9+4i must must also be a zero.
A câmera is capable of snapping 1/2 of a picture per second how long will it take the camera to snap 6 pictures
Answer: 12 seconds
Step-by-step explanation:
Step 1: Find the unit rate
1÷0.5=2
1 picture takes 2 seconds
Step 2: Find amount of time taken to snap 6 pictures
2*6= 12
In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = \(180^{o}\)
51 + 44 + <R = \(180^{o}\)
95 + <R = \(180^{o}\)
<R = \(180^{o}\) - 95
= \(85^{o}\)
<R = \(85^{o}\)
Applying the Sine rule, we have;
\(\frac{q}{SinQ}\) = \(\frac{r}{SinR}\) = \(\frac{s}{SinS}\)
Using \(\frac{r}{SinR}\) = \(\frac{s}{SinS}\)
\(\frac{r}{Sin 85}\) = \(\frac{2.3}{Sin51}\)
r = \(\frac{2.3*Sin85}{sin51}\)
= 2.9483
r = 2.9 inches
Also, \(\frac{q}{SinQ}\) = \(\frac{s}{SinS}\)
\(\frac{q}{Sin44}\) = \(\frac{2.3}{Sin51}\)
q = \(\frac{2.3*Sin44}{Sin51}\)
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = \(\sqrt{s(s-q)(s-r)(s-s)}\)
s = \(\frac{2.3 + 2.0 + 2.9}{2}\)
= 3.6
Area of ΔQRS = \(\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}\)
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
2.4
Step-by-step explanation:
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
if john gets paid 20 dollars a week how much money will john have in 7 months
Answer:
20 x 4 (4 being the number of weeks in a month)= 80, 80 x 7 (7months)= 560. So, $560.
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
so you multiply 20×7=140