Answer:
1, 8, 27, 64, 125, 216, 343, 512, ... 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, ...
Step-by-step explanation:
Answer:
The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
Step-by-step explanation:
Natural Numbers are known as 1, 2, 3, 4, ..., ∞
Now,
For Cube of first six natural numbers
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
Thus, The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
-TheUnknownScientist
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
MRP of pen drive is reduced from rupees 872 rupees 580 find the present age reduction in price......my explain me step by step.....
Answer:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
Step-by-step explanation:
Answer:
Step-by-step explanation:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.
help me, the question is down below
Answer:
C
Step-by-step explanation:
6.3/3 = 2.1
12.6/6 = 2.1
18.9/9 = 2.1
Can someone give me the equation on this and or how to right it A number is 7 more than 5 times another number and their difference is 78 Find the numbers
Answer:
(x is number)
x=7>5
Step-by-step explanation:
hope this helps
PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.
710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo
Answer: I got answers A, B and E
Step-by-step explanation:
The correct three statements are supported by Joseph's data are as follows;
Joseph should plan for around 560 students at each dance based on the data.
The dances will be attended by around 700 of the students that attend the school.
Out of the 800 students, 288 do not like to attend dances after the football games.
What is the data set?A data set is a collection of numbers or values that relate to a particular subject.
Joseph attends a school that has 800 students. He is in charge of school dances this year.
He surveyed a random sample of 100 students and got the following feedback.
7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.1. Here 7/10 of the students would attend any of the dances held at the school.
[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]
Joseph should plan for around 560 students at each dance based on the data.
2. 18% of the students are not allowed to attend dances at school.
[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]
The dances will be attended by around 700 of the students that attend the school.
3. 64% of the students think that the dances should be held after football games.
[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]
Out of the 800 students, 288 do not like to attend dances after the football games.
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The Indirect speech of - said. "I was watching TV when the telephone rang."
Answer:
was,rang or had been , had rung
Step-by-step explanation:
He <was><had been> watching TV when the telephone <rang><had rung>.
Thkcfyicyjfxiyrxxxtuxx
Answer:
B
Step-by-step explanation:
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
What is the probability of getting a heads on a coin and then getting a 5 on a number cube?
Answer:
In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.
For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]
A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]
A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).
Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]
Answer:
1/12 or 0.0833333333
Step-by-step explanation:
0.5 probability of getting heads
1/6 probability of getting a 5
1/6 * 1/2 = 1/12
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
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Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
) How is the Domain for the function f(x) = (x restricted?
If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
seventeen less than a number is
Answer:
what number is it less than? i need that number to solve it
once you give it to me i will solve it
Step-by-step explanation:
Given f(x) = 5x ^ 2 and g(x) = x ^ 3 + 2x ^ 2 - 5x , what is f(x) * g(x)
Answer:
Step-by-step explanation:
f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms
= 5x**5 + 10x**4 - 25x**3
= 5x**3(x**2 + 2x - x)
What’s the answer? Down below is a image of the question
Answer:
34
Step-by-step explanation:
xzzee#^€^€€%^"$~~×
What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
Toronto FC have won 45% of their games and lost 42 of their games what percentage have they tied
Answer:
13
Step-by-step explanation:
45+42=87
100-87=13
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?
The Venn diagram shows that the number of students who offer accounting is 30.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
The number of students who offer accounting is:
= 25 + 5
= 30
The number of students who offer Economics is:
= 10 + 5
= 15
The number of students who offer only one subject will be:
= 25 + 10
= 35
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What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
[tex]V=2143.57\ mm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]
So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].
Sabrina borrowed $350000 with a 0.5% interest rate from Bank of America to buy a new condo in orange beach how did it take Sabrina to pay if the loan if she ended up pay &26250 interest plz help me
Answer:
t = 2466.67 years (about 2466 years 8 months)
Step-by-step explanation:
Given: Total P+I (A) = $350000, Principal (P) = $26250, Rate (R) = 0.5%
To find: How long did it take Sabrina to pay if the loan if she ended up pay $26250 interest?
Formula: [tex]t = (1/r)(A/P - 1)[/tex]
Solution: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate
First, converting R percent to r a decimal
r = R/100 = [tex]\frac{0.5 percent}{100}[/tex] = 0.005 per year,
then, solving our equation
t = (1/0.005)((350000/26250) - 1) = 2466.67
t = 2466.67 years
Therefore, it will take Sabrina 2466.67 years (about 2466 years 8 months) to pay off the loan.
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.