Answer:
"252 units³" is the appropriate solution.
Step-by-step explanation:
The given values are:
Length,
x = 9 units
width,
y = 12 units
height,
z = 7 units
As we know,
The volume of rectangular pyramid will be:
⇒ [tex]Volume=\frac{1}{3}(length\times width\times height)[/tex]
On substituting the values, we get
⇒ [tex]=\frac{1}{3}\times 9\times 12\times 7[/tex]
⇒ [tex]=3\times 85[/tex]
⇒ [tex]=252 \ units^3[/tex]
How do you select sample size using simple random sampling?
Using the method of simple random sampling, The answer is we select sample before collecting data.
What do you mean by random sampling?Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.
What are samples?A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.
In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2
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Given that $13^{-1} \equiv 29 \pmod{47}$, find $34^{-1} \pmod{47}$, as a residue modulo 47. (Give a number between 0 and 46, inclusive.)
The value would be [tex]34^{-1} \pmod{47}=30[/tex]
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.
In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.
We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]
We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.
Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:
[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]
Now we can substitute the right side of the equation:
[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]
And now we can substitute the left side of the equation:
[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]
And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.
Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]
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The value would be 13.
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
We can use the property of modular inverse that
[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]
So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]
[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]
Hence, The value would be 13.
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How much money will you have if you were to earn 10$ every week for 2 years?
Answer: $1,040
Step-by-step explanation:
52 weeks in a year
52x 10= 520
520x 2(for the years)= 1,040
Answer:
1,040$
Step-by-step explanation:
52 weeks in each year
52 x 2 is 104.
104 x 10 is 1,040.
' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the
Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 76
Circumference of circle, C = 238.64 inches.
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Complete Question:
The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?
A. 123.45 inches.
B. 438.65 inches.
C. 238.64 inches.
D. 338.64 inches.
Brie bought a rug for her bedroom. The area of the rug measures 25 square feet. Her bedroom is ten feet wide and twelve feet long. Using the given measurements, what is the amount of her bedroom NOT covered by the rug
The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.To learn more about square centimeters refer to:
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Help please!!!!!!!!!!!!
Answer:
a=13.2
b=21
c=36
d=9
Step-by-step explanation:
a good way to do these is to find the simplest fraction, and multiply the number over 1 (a- 1/5*11/1 =11/5=2.2) then add the number to the total you have (a- 2.2+11=13.2) I have not done these questions in a while, so they may be off by a bit, or the formula may have a mistake, hope this helps anyway. :)
Answer:
Step-by-step explanation:
A x 20%=11
so a=11/.20
a=55
b x 75%=12
b=12/.75
B=16
c X 80%=20
c=20/.80
c=25
d x 200%=18
d=18/2
d=9
Find the sum of the arithmetic series 22,33,44,55,…,605
Answer:
66
Step-by-step explanation:
a^5
Answer:
16 929
Step-by-step explanation:
a1 = 22 d = 11 a 54 = 605
Sum = 54 ( 22 + 605) /2 = 16 929
Write the simplified expression: 2(-2n + 2)
Answer:
-4n+4
Step-by-step explanation:
hope this helps :)
Answer:
2(-2n+2)
-4n+4
() means multiply, negative times positive is negative and it keeps the variable
The intensity level of sound, L measured in decibels (dB), is a function of the sound
intensity, S watts per square metre (W m-2). The intensity level is given by the following
formula.
(a) An orchestra has a sound intensity of 6. 4 × 10-3 Wm-2. Calculate the intensity level, L of
the orchestra.
(b) A rock concert has an intensity level of 112 dB. Find the sound intensity, S
(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then
the intensity level of sound, L, is 98.062 dB.
(b) If a rock concert has an intensity level of 112 dB, then the sound intensity, S, is [tex]10^{-0.8}\ Wm^{-2[/tex].
Sound intensity, also known as acoustic intensity, is defined as the dominion ferried by sound waves per unit area in a direction perpendicular to that area.
Given that the intensity level of sound, L, measured in decibels (dB), is a function of the sound intensity, S, watts per square meter ([tex]Wm^{-2[/tex]) as
[tex]L = 10log_{10}(S\times10^1^2), S\geq 0[/tex]
(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then
the intensity level of sound,
[tex]L = 10log_{10}(6.4\times10^{-3}\times10^1^2)[/tex]
[tex]= 10log_{10}(6.4\times10^9)\\= 10(log_{10}6.4\ +\ log_{10}10^9 )\\= 10(0.8062\ +\ 9)\\=10 \times 9.8062\\= 98.062\ dB[/tex]
(b) If a rock concert has an intensity level of 112 dB, then
[tex]112 = 10log_{10}(S\times10^1^2)\\log_{10}(S\times10^1^2) = \frac{112}{10}\\log_{10}(S\times10^1^2)= 11.2\\S\times10^1^2 = 10^{11.2}\\S = \dfrac{10^{11.2}}{10^1^2} \\S = 10^{-0.8}\ Wm^{-2[/tex]
The sound intensity is [tex]10^{-0.8} Wm^{-2[/tex].
Hence, (a) L = 98.062 dB and (b) S [tex]= 10^{-0.8}\ Wm^{-2[/tex].
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please help me brailyist for correct answer
Answer:
photo is blurr bro
Step-by-step explanation:
i can't help with this photo
A farmer fills a rectangular water trough to a depth of 1 foot.
The trough is 4 feet long and 2 feet wide. How much water
is in the trough?
Answer:
Step-by-step explanation:
Is 8ft
Answer:
It is 8ft
Step-by-step explanation:
easy work
4x – 2y = –1 3 and –4x + 4y = –2 what does x and y equal?
Answer:
X = -7 and y = -7.5
Step-by-step explanation:
Use substitution. Let’s try to get x by itself in the second question since it seems easier.
-4x + 4y = -2
-4x = -2 -4y
x = 1/2 + y
Subsitute that into the other equation for y.
4x -2y = -13
4(1/2 + y) - 2y = -13
2 + 4y -2y = -13 # Use the distributive property
2y = -15 # put together like terms
y = -7.5
Then plug it into the x formula
x = .5 -7.5
x = -7
Answer:
The solution is (-7, -7 1/2)
Step-by-step explanation:
4x – 2y = –13
–4x + 4y = –2
-------------------------
2y = -15, and so y = -7 1/2.
Now find x. If y = -7 1/2, then, from the first equation, we get
4x - 2(-7 1/2) = -13, or
4x + 15 = -13, or
4x = -28, or x = -7
The solution is (-7, -7 1/2).
Which ratio forms a probation with 18/30
=20/35
=50/90
=36/46
=60/100
Answer:
Which ratio forms a probation with 18/30
=20/35
=50/90
=36/46
=60/100
Step-by-step explanation:
Express 60 as the product of its prime numbers
Answer:
60 = [tex]2^2[/tex] * 3 * 5
Step-by-step explanation:
The process of prime factorization is when one breaks up a number such that it can be represented as the product of many prime numbers. One does this by dividing the prime number by its smallest prime factor. Then one will divide the composite factor by its smallest prime factor, and so on. All of the resulting prime numbers are prime factors of the original number.
60 = 2 * 30
30 = 2* 15
15 = 3 * 5
60 = [tex]2^2[/tex] * 3 * 5
PLEASE HELP ILL GOVE BRAINLIEST!!!
a box will be used to ship number cubes. the dimensions of the box are h=6 in, width=10 in, length= 4 in. the number cubes have sides that each measure 1/2 in. how many number cubes can fit in the box?
Answer:
120
Step-by-step explanation:
Find the volume of the box by finding the area of the base then multiplying it by the height then divide by 1/2
What is the area of a regular hexagon with sides that measure 10 feet and an
apothem that measures 8.66 feet?
Answer:
259.8 square feet
Step-by-step explanation:
What is the area of a regular hexagon with sides that measure 10 feet and an
apothem that measures 8.66 feet?
The formula to solve the above question is given as:
Area = (3√3 s²)/ 2 where
s is the length of a side of the regular hexagon
Area of this Hexagon is calculated as:
= (3√3 × 10²)/2
= 3√3 × 100/2
= 259.80762114 square feet
Approximately = 259.8 square feet
The area of the regular hexagon = 259.8 square feet
What is the distance between the points (5, 1) and (-3,-5)?
Answer:
10
Step-by-step explanation:
distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
(x_1, y_1) = (5, 1)
(x_2, y_2) = (-3, -5)
\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }
\sqrt{ [-8]^2 + [-6]^2 }
\sqrt{ 64 + 36 }
\sqrt{ 100 }
= 10
Answer:
[tex] Distance = 10 \ u [/tex]
Step-by-step explanation:
Given :-
Two points (5,1) and (-3,-5) .And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,
[tex]( x_1,y_1)[/tex][tex](x_2,y_2)[/tex]Distance Formula :-
[tex]\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the respective values ,[tex]\implies Distance =\sqrt{\{5-(-3)\}^2+\{1-(-5)\}^2 } \\\\\implies Distance =\sqrt{ (5+3)^2+(1+5)^2}\\\\\implies Distance =\sqrt{ 8^2+6^2}\\\\\implies Distance =\sqrt{64+36}\\\\\implies Distance =\sqrt{100}\\\\\implies Distance = 10\ units [/tex]
Hence the distance between the two points is 10 units .
What is the negation of P → PV Q?
The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.
As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.
The words "~" or "¬" are used to denote a statement's denial.
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A) 12
B) 7
C) -11
D) 8
6x+4
Answer:
B it will have to be 7 to make this true
Step-by-step explanation:
Reduce the fraction and find the domain
The simplification of all the given algebra fractions are;
1) a/c
2) (a - b)/(a - 1)
3) (x + 1)/(x - 4)
How to solve algebraic fractions?An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.
1) (abc + ab²)/(b²c + bc²)
Factorizing numerator and denominator gives;
ab(c + b)/bc(b + c)
b(b + c) will cancel out to get; a/c
2) (a² - b²)/(a² - a + ab - b)
Factorizing numerator and denominator gives;
[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]
= [(a + b)(a - b)]/(a + b)(a - 1)
(a + b) will cancel out to get;
(a - b)/(a - 1)
3) (x² - 2x - 3)/(x² - 7x + 12)
Expanding the numerator and denominator gives;
(x² - 3x + x - 3)/(x² - 4x - 3x + 12)
= ((x + 1)(x - 3))/((x - 3)(x - 4)
(x - 3) will cancel out to get;
(x + 1)/(x - 4)
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name the solid ?m
# of faces ?
# of edges?
# of vertices?
what’s the height ?
Answer:
rectangle
6 faces
12 edges
8 vertices
10ft height
hope this helps
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
.
green 0.416 red0.25 blue0.3
Step-by-step explanation:
Answer:
47/66 or 0.71 or 71%Step-by-step explanation:
4 blue, 3 red and 5 green marblesTotal marbles = 12Possible options for 2 different colors are:
BR, BG, RB, RG, GB, GRProbability of each:
P(BR) = 4/12*3/11 = 1/11P(BG) = 4/12*5/11 = 5/33P(RB) = 3/12*4/11 = 1/11P(RG) = 3/12*5/11 = 5/44P(GB) = 5/12*4/11 = 5/33P(GR) = 5/12*3/11 = 5/44Now, the probability of 2 different colors:
P(2 different colors) = 1/11*2 + 5/33*2 + 5/44*2 = 2/11 + 10/33 + 5/22 = (2*6+ 10*2 + 5*3)/66 = 47/66 = 0.71 = 71%A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 105 00, determine the station of PT
The station of PT is 12305.58 ft
The station of PT can be determined using the formula:
PT = PI + R * (central angle in radians)
To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)
Next, we need to determine the radius (R) of the curve. We can use the formula:
R = L / (central angle in radians)
Where L is the tangent length.
Finally, we can substitute the values into the formula for PT:
PT = 105 00 + (1200 / (29.86 * (π/180)))
PT = 105 00 + (1200 / (0.5236))
PT = 105 00 + 2295.58
PT = 12305.58
It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.
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Harprr buys a flannel sheet online for 22.50.If shipping and handling are an additional 35% of the price,how much shipping and handling will haper pay
Answer: 7.88 currency units
Step-by-step explanation:
Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:
= Price of flannel sheet * Additional percentage for shipping and handling
= 22.50 * 35%
= 7.875
= 7.88 currency units
Answer:
787.5
Step-by-step explanation:
22.50×35
=787.5mine is correct, do not believe any expert verified answer,I calculated it now and mine is correctWrite the quadratic equation whose roots are 5 and 6 and whose leading coefficient is 5
(Use the letter x to represent the variable.)
9514 1404 393
Answer:
5x^2 -55x +150 = 0
Step-by-step explanation:
A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...
5(x -5)(x -6) = 0
5(x^2 -11x +30) = 0 . . . . . multiplying binomials
5x^2 -55x +150 = 0 . . . . applying the leading coefficient
Please help quickly!
Use the figure below to answer questions 18-21
Answer:
Step-by-step explanation:
18. m∠1 = 104°
19. m∠2 = 79°
20. m∠3 = 65°
21. m∠5 = 73°
Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have
The expressions for the number of sweets that Tony and Sue now have are:
Given:
Sue has 18 sweets
Sue = 18
Tony also has 18 sweets, that is:
Toney = 18
Sue gives Tony × sweets; that is
Sue = 18 - x; and
Tony = 18 + x
Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:
that is ⇒
Sue = 18 - x - 5
Tony = (18 + x) / 2
Thus, simplifying the above, we have:
Sue = 13 - x
Tony = (18 + x) / 2
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manatee.schoology.com
EOC Review #2
.
If another line is perpendicular to the line
shown on the graph, what must be its slope?
A.
B.
NI UN NIIN
C.
D.
ОА
OB
OD
Let the random variable h represent the height of a woman in the population. P(h<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model. 1. Give an example of a probability h that can be found using the discrete model but not the normal model
The probability of h that can be found using the discrete model but not the normal model is 0.03.
A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.
The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.
H represents the height of women
Determine P ( H < 60 ) using either a discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches
P ( H < 60 ) = 0.01 + 0.02 = 0.03
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The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
Simplify your answer and write it as a fraction or whole number.
First look at one of the point covered by the black shape, example of which being (2,2).
Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).
With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.
This would be the dilation needed to get the black shape to become the black shape.
Hope that helps.