The cube of 2.4 is 13.824
What is a cube ?A cube can be described as when a number is multiplied three times. This means a product of the same number three times
From the question we are asked to calculate the cube of 2.4
(2.4)³
= 2.4 × 2.4 × 2.4
= 13.824
Hence the cube of 2.4 is 13.824
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A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour
Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
As given,
Total distance= 30 kilometers
Total time taken = 8 minutes
1 kilometer = 0.62137 miles
30 kilometers = 30 × 0.62137
= 18.641 miles
8 minutes = ( 8 / 60) hour
Average speed= total distance / total time taken
= 18.641 / (8/60)
= 139.8 miles/ hour
Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
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Sal is selling two types of printed socks.he sells type a at r45 a pair.he sells type b at r30 if he sold 16 pairs in total,and had a total income of r585,how many pairs of sock did sal sell
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
Let the number of type a socks sold by Sal be x
Let the number of type b socks sold by Sal be y
The selling price of type a socks = 45
The selling price of type b socks = 30
Total pairs sold = 16
Total income = 585
Therefore, the equations will be
x + y = 16-------(1)
45x + 30y = 585--------(2)
Multiplying equation (1) by 30 we get
30x + 30y = 480 ------(3)
Equating equations (2) and (3) we get,
15x = 105
x = 7
Putting x = 7 in (1) we get
y = 9
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
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Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
The variance of a sample of 196 observations equals 784. find the standard deviation of the sample. 14
The standard deviation of the sample = 28.
Defining standard deviation:An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.
Does a high standard deviation make sense?The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.
According to the given data:A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.
variance = 784
we have to find the stranded deviation:
stranded deviation = √variance
= √784
= 28
The standard deviation of the sample = 28.
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5/6 x 15 =
2/3 x 1/4=
4/9 x 3/8=
Answer:
1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)
2. 2/12 = 1/6 (simplified)
3. 12/72 = 1/6 (simplified)
Hope this helps :)
Answer:
[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]
Reduce the fraction by diving both sides by the common factor.
[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]
To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.
25 / 2 = 12 with remainder of 1
[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]
Fice card are dealt fom a deck. what is the probability of getting any two distinct face values occuring axactly twice?
The likelihood of any two different face values occurring exactly twice is 0.0475.
Describe probability using an example?
The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.An event's probability grows with its likelihood of happening. Tossing a fair (impartial) coin provides a simple illustration.Two pairs
two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552
P( two pairs) = 123552/2598960 = 0.0475
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The complete question is -
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)
X
1
y=ax²+bx+c 1.75
B
2
6
3
11.75
4
19
5
27.75
Answer:
ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp
there are 126 students.
2/9 of them are taking geometry. 3/7
of the students taking
geometry are male.
how many female students are taking geometry?
Out of 126, 2/9 of them are taking geometry , 3/7 of the students are males ,number of female students taking geometry are 16.
As given in the question,
Total number of students = 126
Number of Students taking geometry = (2/9) × 126
= 28
Number of male students taking geometry= (3/7) × 28
= 12
Number of female students taking geometry= 28 - 12
= 16
Therefore, out of 126, 2/9 are taking geometry , 3/7 are males ,number of female students taking geometry are 16.
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Which relation is also a function? 25pts!!!!!!!!
A new decreased by 16 is equal to the number times 18
Answer:
Whats 'new'?
Step-by-step explanation:
the sporting goods store sold 10 balls, 3 bats, and 2 bases for $99 on Monday. They sold 4 balls, 8 bats, and 2 bases for $78 on Tuesday. On Wednesday they sold 2 balls 3 bats and 1 base for 33.60. What is the cost of each individual item?
Answer:
ball: $8.00bat: $5.40base: $1.40Step-by-step explanation:
Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.
10 balls + 3 bats + 2 bases = $994 balls + 8 bats + 2 bases = $782 balls + 3 bats + 1 base = $33.60SolutionSolving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.
Subtracting twice the third equation from the second, we have ...
(4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)
2 bats = 10.80 . . . . . . . simplify
1 bat = 5.40 . . . . . . divide by 2
Subtracting the second equation from the first, we have ...
(10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)
6 balls -5 bats = 21 . . . . . simplify
6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost
6 balls = 48 . . . . . . . . simplify
1 ball = 8.00 . . . . . . . divide by 6
Using the last equation, we can find the cost of 1 base.
1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)
1 base = 1.40
The costs are ...
1 ball: $8.00
1 bat: $5.40
1 base: $1.40
The value of 5x +3=20
Answer:
x = 17/5
Step-by-step explanation:
5x + 3 = 20
5x + 3-3 = 20 - 3
5x = 17
divide both by 5
will mark branliest if right!
We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%
The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.
rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%
rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%
Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.
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16 X +12 over two equals 100
The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
Given that equation [tex]\frac{16x+12}{2}=100[/tex] and asked to evaluate the value of x in the given equation
⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=[tex]\frac{94}{8}[/tex](using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
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Y is inversely proportional to the square of x. if y=3 when x=3 then y =1/3 when x is _______. help me isuck at proportionals
In a standard normal distribution the probability of z being less than or equal zero is?
In a standard normal distribution the probability of z being less than or equal zero is 0.5.
What is standard normal distribution?The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.
Some key features regarding the standard normal distribution are-
Any normal distribution's values can be standardized by converting them to z-scores. Z-scores indicate how so many standard deviations each value is from the mean.Transforming a normal distribution to a z-distribution enables you to compute the likelihood of specific values occurring and compare various sets of data.Every normal distribution is a stretched or squeezed version of the standard normal distribution that has been moved horizontally right or left.The mean determines the center of the curve. Increasing the mean shifts the curve to the right, whereas decreasing it shifts the curve to the left.The standard deviation either stretches or compresses the curve.Now, as per the given question;
The mean of a standard normal distribution is 0.
Because this distribution is symmetric, the median is also equal to 0.
So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5
Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.
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machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.
Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.
For example, if it takes Sue 5 hours to accomplish a task, she can complete 1/5 of the task in one hour. In other words, her hourly rate is one-fifth of the job's.Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.
For example, if Sam can finish 1/8 of the job in one hour, it will take him 8/1 hours to finish the job.Similarly, if Joe can finish 2/3 of the job in one hour, it will take him 3/2 hours to finish the job.Machine A finishes the job in 12 minutes.
Using Rule #1, machine A wraps up one-twelfth of the job in 1 minute.Machine B finishes the job in 18 minutes.
So, according to Rule #1, machine B finishes 1/18 of the job in 1 minute.When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.
1/12 + 1/18 = 3/36 + 2/26 = 5/36So, when the machines work together, they can complete 5/36 of the job in 1 minute.Using Rule #2, the time required to complete the entire job = 36/5 minutes.
Therefore, 36/5 minutes or 7.2 minutes is the correct answer.
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A sheet of paper contains a list of 5 double-digit prime numbers.
Their mean is 31, while their median and mode is 29.
The largest number is 41.
Show how you can discover the 5 prime numbers written on the sheet.
the five prime number are 19,29,29,37,41
mean =sum of observations / total number of observation
= 19+29+29+37+41 /5
= 155/5
=31
median = (n+1) / 2 th term n is number of term and n is odd
= (5+1) /2 th term
= 3 rd term
= 29
mode = the value that appears most in the data
= 29
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When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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please help with the question below asap !! thank you in advance !!
Need help!!
√18 is between _____.
4.5 and 4.6
8.9 and 9.1
4.2 and 4.3
3.1 and 3.2
Which of the following is equivalent to √52?
4√13
13√2
2√13
13√4
thank you ! :)
Answer:
√18 is between 4.2 and 4.3
√52 is equivalent to 2√13
......
A Lilly pond starts with 1 Lilly pad and every day the amount doubles. How many Lilly pads are in the pods after d days
After d days the total number of lily in the ponds are . It is an simple example of geometric progression.
The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.
Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.
Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
SOLVE SOLVE SOLVE SOLVE
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
The given expression is [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }[/tex].
We need to divide and simplify the given expression.
How to divide binomial by monomial?Division of polynomials by monomial means dividing the polynomials which are written as numerators by a monomial which is written as denominators to find their quotient.
Split the denominators to each numerator and cancel out the common terms and simplify.
Now, [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }=\frac{18x^{3}y^{2}}{3x^{2} y^{2}} +\frac{9x^{2} y^{5}}{3x^{2} y^{2}}[/tex]
=6x+3y³
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
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A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. salma wants to rent a car, knowing that: she plans to drive 275 miles. she has at most $140 to spend
Salma can rent the car for at most 5 days while driving 275 miles
Although part of your question is missing, you might be referring to this full question: A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine, the number of days Salma can afford to rent the car while staying within her budget
The equation which addresses this problem is:
22.5x + 0.10(275) <=140
Let x be the number of days Salma can afford to rent the car
Per day rent of the car = $22.5
Cost per mile = $0.10
Plan to drive = 275 miles
Budget with Salma = $140
Equation:
22.5x + 0.10(275) <= 140
Solving the equation we get x <= 5
So, Salma can rent the car for at most 5 days while driving 275 miles
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Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers, Dwight and Jim. The twins are both 12 years old.
How old is Molly's dad?
Answer:
30 years old
Step-by-step explanation:
5x = x + 2(12)
5x = x + 24
4x = 24
x = 6
5(x)
5(6) = 30
A rectangular field is 35 m longer than it is wide. The length of the fence around
the perimeter of the field is 290 m.
a. 1+35= w
b.
1=w+35
21+2w=290
21+2w=290
C.
1=w+35
1+w=290
d. 1=w+35
Iw=290
Answer:
length = 90
width = 55
Step-by-step explanation:
Let W = width.
Let L = length.
L = W + 35
P = 2(W + L)
290 = 2(W + W + 35)
4W + 70 = 290
4W = 220
W = 55
L = W + 35 = 55 + 35 = 90
EASY POINTS PLEASE HELP if you can answer bother that would be nice but u can answer one if u want
Answer:
#9: B
#10: D
Step-by-step explanation:
#9 had biggest scientific notaiton
#10 had smallet scientific notaiton and numbeer
Answer:
9. B
10. D
Step-by-step explanation:
a. 5406000000
b. 56040000000
c. 550400000
d. 6503000000
a. 900000
b. 120000
c. 3010000000
d. 19010
A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull an orange candy? Find the fraction, decimal, and percentage?
Answer:
2/11, 0.18, 18%
5 + 4 + 6 + 7 = 22
and 4 of those are 4 orange candies
4/22 = 2/11
PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG