Answers
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line plot?A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
What is a mean?In Mathematics, a mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
Mathematically, the distance between the means of both classes A and B is given by:
Distance = Mean of class A - Mean of class B
Distance = 12 - 4
Distance = 8.
The mean absolute deviation (MAD) for class A is given by:
MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]
MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]
MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]
MAD A = 1/9 × [18]
MAD A = 18/9
MAD A = 2.
Also, the mean absolute deviation (MAD) for class B is given by:
MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]
MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]
MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]
MAD B = 1/9 × [18]
MAD B = 18/9
MAD B = 2.
Therefore, distance between the means = four (4) times the MAD.
Distance = Means × MAD
8 = 4 × 2.
In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.
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Related Questions
A mathematical prodigy wishes to put 2 of his indistinguishable IMO gold medals and 2 of his indistinguishable IPhO gold medals in one row. How many distinct arrangements are possible
Answers
This relates to combination and permutations and the number of distinct arrangements that are possible will be 6.
How to illustrate the information?From the information, a mathematical prodigy wishes to put 2 of his indistinguishable IMO gold medals and 2 of his indistinguishable IPhO gold medals in one row.
Let 1 = IMO
Let 0 = IPho.
Therefore, the number of arrangement will be:
0011
0110
1100
1010
0101
1001
Therefore, the number of arrangement will be 6.
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Please answer this question ASAP!
The traffic lights at three different road crossings change after every 48, 72 and 108 seconds respectively. If they change simultaneously at 8 am, at what time will they change to again?
Answers
Answer:
8:07:12 am
Step-by-step explanation:
The lights will change simultaneously after any multiple of the least common multiple of their cycle times.
LCMThe least common multiple of a set of numbers is the product of the highest powers of their prime factors.
48 = 2⁴×3
72 = 2³×3²
108 = 2²×3³
The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...
LCM = 2⁴×3³ = 16×27 = 432
The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.
Express 324000000 in scientific natation
Answers
3.24x10^8
Answer:
[tex]3.24*10^8[/tex]
Step-by-step explanation:
First, it is even so you don't need a negative power. Secondly, you put the decimal point after the first number which is three, and the next numbers which are not zeros go after it. Then you count the two numbers behind the decimal and the rest of the zeros. Then the number you get is the power of 10. And then just multiply and check your answer. :)
For the first 150 miles of a trip, an car drives at v mph. For the next 200 miles, the car drives at (v
+25) mph. The average speed of the whole trip is 35 mph. Find the value of v.
(A) 20
(B) 25
(C) 30
(D) 35
Answers
If for the first 150 miles of a trip, an car drives at v mph, for the next 200 miles, the car drives at (v+25) mph and the average speed of the whole trip is 35 mph, then the value of v will be 20mph (A).
Given Information:
Average speed = 35 mph
Total distance = 150 + 200 = 350 miles
For the first 150 miles of a trip, an car drives at v mph speed
⇒ Time, t1 = 150/v hrs
For the next 200 miles, the car drives at (v+25) mph speed
⇒ Time, t1 = 200 / (v+25) hrs
Now, the formula for average speed is given as,
Total distance / Total time
= [tex]\frac{350}{\frac{150}{v}+\frac{200}{(v+25)} }[/tex]
⇒ [tex]\frac{350}{\frac{150}{v}+\frac{200}{(v+25)} }[/tex] = 35 mph
[tex]\frac{350 v (v+25)}{150(v+25) + 200v}[/tex] = 35
[tex]\frac{350v^{2} + 8750v}{150v +3750 + 200v}[/tex] = 35
350v² + 8750v = 35 (350v + 3750)
v² + 25v = 35v + 375
v² - 10v = 375
v² - 10v - 375 = 0
Now, the above equation for speed can be written as,
v² - 20v + 15v - 375 = 0
v(v-20) + 15(v-20) = 0
(v-20) (v+15) = 0
v = 20
or v = -15
Since, speed is a scalar quantity, it can't be negative. Thus, v = 20 mph
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How to do this question. First to answer this question will be marked as brainlist.
Answers
Answer:
10
Step-by-step explanation:
Every number with exponent zero is equal to 1
(7³×8)⁰ = 1
5⁰ = 1
then:
(3² + 5⁰) / (7³×8)⁰
= (3² + 1) / 1
= (9+1) / 1
= 10
3^2 = 9
3^2 = 95^0 =1
(7^3 x 8)^0 is 1
(anything to power of zero is one)
9 + 1 / 1 gives us the fraction 10/1
10/1 + 1/3 => make denominator the same, so I'll multiply 10/1 by 3
We get : 30/3 + 1/3 => 31/3
Thus answer is 31/3
Hope this helps!
HELP PLEASE
if a function representing distance (feet) as a function of time (minutes), what does f(30) represent in terms of the situation?
Answers
We know
In a function
y=f(x)x represents the input and y represents output
So
f(30)x is time
So
f(30) represents distance traveled in 30mins
Use the method of undetermined coefficients to solve the given nonhomogeneous system. x' = −1 5 −1 1 x + sin(t) −2 cos(t)
Answers
It looks like the system is
[tex]x' = \begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} x + \begin{bmatrix} \sin(t) \\ -2 \cos(t) \end{bmatrix}[/tex]
Compute the eigenvalues of the coefficient matrix.
[tex]\begin{vmatrix} -1 - \lambda & 5 \\ -1 & 1 - \lambda \end{vmatrix} = \lambda^2 + 4 = 0 \implies \lambda = \pm2i[/tex]
For [tex]\lambda = 2i[/tex], the corresponding eigenvector is [tex]\eta=\begin{bmatrix}\eta_1&\eta_2\end{bmatrix}^\top[/tex] such that
[tex]\begin{bmatrix} -1 - 2i & 5 \\ -1 & 1 - 2i \end{bmatrix} \begin{bmatrix} \eta_1 \\ \eta_2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}[/tex]
Notice that the first row is 1 + 2i times the second row, so
[tex](1+2i) \eta_1 - 5\eta_2 = 0[/tex]
Let [tex]\eta_1 = 1-2i[/tex]; then [tex]\eta_2=1[/tex], so that
[tex]\begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} = 2i \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix}[/tex]
The eigenvector corresponding to [tex]\lambda=-2i[/tex] is the complex conjugate of [tex]\eta[/tex].
So, the characteristic solution to the homogeneous system is
[tex]x = C_1 e^{2it} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} + C_2 e^{-2it} \begin{bmatrix} 1 + 2i \\ 1 \end{bmatrix}[/tex]
The characteristic solution contains [tex]\cos(2t)[/tex] and [tex]\sin(2t)[/tex], both of which are linearly independent to [tex]\cos(t)[/tex] and [tex]\sin(t)[/tex]. So for the nonhomogeneous part, we consider the ansatz particular solution
[tex]x = \cos(t) \begin{bmatrix} a \\ b \end{bmatrix} + \sin(t) \begin{bmatrix} c \\ d \end{bmatrix}[/tex]
Differentiating this and substituting into the ODE system gives
[tex]-\sin(t) \begin{bmatrix} a \\ b \end{bmatrix} + \cos(t) \begin{bmatrix} c \\ d \end{bmatrix} = \begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} \left(\cos(t) \begin{bmatrix} a \\ b \end{bmatrix} + \sin(t) \begin{bmatrix} c \\ d \end{bmatrix}\right) + \begin{bmatrix} \sin(t) \\ -2 \cos(t) \end{bmatrix}[/tex]
[tex]\implies \begin{cases}a - 5c + d = 1 \\ b - c + d = 0 \\ 5a - b + c = 0 \\ a - b + d = -2 \end{cases} \implies a=\dfrac{11}{41}, b=\dfrac{38}{41}, c=-\dfrac{17}{41}, d=-\dfrac{55}{41}[/tex]
Then the general solution to the system is
[tex]x = C_1 e^{2it} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} + C_2 e^{-2it} \begin{bmatrix} 1 + 2i \\ 1 \end{bmatrix} + \dfrac1{41} \cos(t) \begin{bmatrix} 11 \\ 38 \end{bmatrix} - \dfrac1{41} \sin(t) \begin{bmatrix} 17 \\ 55 \end{bmatrix}[/tex]
Match each correlation coefficient to its corresponding description.
Answers
2- c. weak negative correlation
3- d. strong negative correlation
4- b. weak positive correlation
. The set of possible values of x is {-8, -3, 7}. If
5y = x-2, what is the set of possible values of y?
Answers
Answer:
{-2, -1, 1}
Step-by-step explanation:
Since we are given all the possible inputs {-8, -3, 7} we can use them one by one in the equation to find the outputs.
5y = x - 2 , if x is -8
5y = -8 - 2
5y = -10
y = -2
Next,
5y = x - 2, if x = -33
5y = -3 - 2
5y = -5
y = -1
Last,
5y = x - 2 when x =7
5y = 7 - 2
5y = 5
y = 1
So the set is {-2, -1, 1}
add 374 and 25 then subtract the sum from the largest single digit number. hint: largest single digit number is 9
Answers
Answer:
Sum of 374 and 25 = 374+25 = 399
now subtract 9 from the sum, i.e. 399 = 399 - 9 = 390 is your answer
Answer:
Step-by-step explanation:
374+25
=399
Now, subtracting the sum from 9
9-399
= -390
Which of the following represents the series in summation notation?
−2 + 4 − 8 + 16 − 32 + 64 − 128.
Answers
Answer:
ummation of n=1 to n=7 (-2)^n
Step-by-step explanation:
summation of n=1 to n=7 (-2)^n
What is the area of the given triangle?
24 square units
12 square units
48 square units
17.2 square units
Answers
Answer: 12 square units
Step-by-step explanation: first you must count hom many units there are between points A and B, which is 4, and then count the points between B and C, which is 6.
Now that we have the units we do 6 x 4 = 24, however, you may be asking why we do not do 24 then, well if you were to be doing 6 x 4, you would be getting the area of a rectangle, and half of a rectangle is a triangle, so we have to do 24/2 which equals 12.
The following figure shows the entire
graph of a relationship.
Does the graph represent a function?
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The given graph doesn't represent a function, as it has two values of y for a single value of x ( that is : for x = 3 it has two solutions, -3 and -6 )
therefore it can't be considered as a function ~
Select the correct answer.
A survey was given to randomly selected employees who drive to work. Each employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year. The results are in the table. Which conclusion can be made from the data?
Answers
The conclusion that can be made from the data is that the probability illustrates that the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, the survey was given to randomly selected employees who drive to work and eagh employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year.
Therefore, the conclusion is that the the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
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Answer: B: The probability of an employee receiving a speeding ticket given that they regularly leave for work early or on time is less than the probability of an employee not receiving a speeding ticket given that they regularly leave for work late.
Step-by-step explanation:
trust me :)
amplificar la siguientes fracciones con tal que de un numero igual al final las fracciones son:
a. 1/2, 3/4, 5/10, 9/20
b. 3/8, 1/15, 3/20, 9/10
c. 7/9, 1/3, 5/6, 3/4
d.3/12, 1/5 7/15 1/20
Answers
The arrangement of the fractions given from the lowest to the highest is illustrated
How to illustrate the information?a. 1/2, 3/4, 5/10, 9/20.
We can change this to percentages.
1/2 = 1/2 × 100 = 50%
3/4 = 3/4 × 100 = 75%
5/10 = 5/10 × 100 = 50%
9/20 = 9/20 × 100 = 45%
Therefore, the arrangement will be 9/20, 5/10, 1/2, and 3/4.
b. 3/8, 1/15, 3/20, 9/10
3/8 = 37.5%
1/15 = 6.67%
3/20 = 15%
9/10 = 90%
The arrangement will be 1/15, 3/20, 3/8, and 9/10.
c. 7/9, 1/3, 5/6, 3/4
7/9 = 77.7%
1/3 = 33.3%
5/6 = 82%
3/4 = 75%
The arrangement will be 1/3, 3/4, 7/9, and 5/6.
d.3/12, 1/5 7/15 1/20
3/12 = 25%
1/5 = 20%
7/15 = 48%
1/20 = 5%
The arrangement will be 1/20, 1/5, 3/12, and 7/15.
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The likelihood of the frequency of an event in repeated trials under similar conditions is?
Answers
The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.
What is Statistical analysis?The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
What accomplishes statistical analysis?Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.
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Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother had $15 more than the other. How much has each saved?
Answers
Answer:
20 and 35 dollars.
Step-by-step explanation:
x + x + 15 = 55
2x + 15 = 55
2x = 55 - 15
2x = 40
x = 40/2
x = 20
One of the brothers has saved 20 dollars, while the other has 35 dollars.
Saul walks dogs to earn extra money. He
earned $220 last week by walking 16 dogs.
Write and solve an equation to determine
how much he charges to walk each dog
each week.
Answers
Answer:
the answer is 13.75
Step-by-step explanation:
So how here is the solutionSaul earned 220 of 16 dogs so
when you divide 220 with 16 the answer be 13.75
[tex]220 \div 16[/tex]
[tex]13.75[/tex]
So let's checkwhen you multiply 13.75 by 16 the answer be 220
[tex]13.75 \times 16 \\ 220[/tex]
please mark as brainlist I only want 2 more please
May it helpful to you
thank you
An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What is the effective annual yield? A. 97.05% C. 3.00% B. 2.95% D. 3.04%
Answers
The effective annual yield is 3.04%
What is effective annual yield?
Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.
The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year
effective annual yield=(ending balance/initial balance)-1
ending balance=$4,121.66
initial balance=$4000
effective annual yield=($4,121.66/$4000)-1
effective annual yield=3.04%
Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12
EAR=(1+r/n)^n-1
r=3%
n=12
EAR=(1+3%/12)^12-1
EAR=3.04%
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Evaluate 3(x-4) + 2x - x² for x = 3.
A. -6
B. 6
C. 2
D. -2
Answers
Answer:
A) -6
Step-by-step explanation:
its just by substituting 3 in place of x
3(3-4)+2(3)-(3)²
3(-1)+6-9
-3+(-3)= -6
pls gimme brailiest if it helped :)
Answer:
A. -6
Step-by-step explanation:
3(x-4) + 2x - x²
Evaluate
Let x =3
Substitute into the expression
3( 3-4) +2(3) - 3^2
Parentheses first
3( -1) +2(3) - 3^2
Exponents next
3( -1) +2(3) - 9
Multiply
-3 +6 -9
Add and subtract
-6
Grade 12 Financial Mathematic
n-up Q:
Austin buys a house for R 1 785 000 on the 1st September 2021. The bank gives him an interest rate of
6% p.a. compounded monthly. Mr Austin makes payments of R11 000 at the end of each month.
a) What is the balance on the loan on the 31st December 2036?
b) How long will it take Mr Austin to payoff the loan?
Answers
Answer:
a)0.00
b)13year,8month,2weeks and 6day
how does a budget help you
Answers
Answer:
it helps you control your spending, track your expenses, and save more money.
please I need to know how to do this !!
Answers
[tex]\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z} = 2x[/tex]
How to simplify an expression?The expression can be simplified as follows:
[tex]\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z}[/tex]
Hence,
[tex]\frac{6xyz}{y(2x-1)}.\frac{(x-3)(2x-1)}{3z(x-3)}[/tex]
Therefore.
[tex]\frac{6xyz}{y(2x-1)}.\frac{(2x-1)}{3z}[/tex]
Hence,
[tex]\frac{2xy}{y(2x-1)}.\frac{(2x-1)}1=2x[/tex]
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a=5
b=12
c=10
d=2
1. 2b-a
2. d(ab-c)
3. 3 + b/d
4. 4a/b+4d
5. b-c+d
Answers
2. 14
3. 9
4. 10 rounded didn’t know if you wanted decimals
5. 4
Using a sample to make generalizations about an aspect of a population is called?
Answers
It is known as Statistical Inference.
Statistical Inference
Without sampling and statistical estimation of the value, some population parameters cannot ever be known. Take customer preference samples, for instance. Since asking everyone would be impractical, choose a sample to identify the parameter.A population's mean can be estimated quite well using the confidence interval. It offers a spectrum of values that most likely includes the population mean. The interval gets smaller as sample size increases.The method of ordinary least squares is used in a regression equation to develop an equation that best fits the data of an independent variable and dependent variable.Learn more about Statistical Inference here: https://brainly.com/question/13752289
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To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additional $1.28 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $57 and $87 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)
A) 057 ≤1.28x-38 s 87; To stay within the range, the usage should be between 44.5 and 97.7 HCF.
B) 57 s 1.28x - 38 s 87; To stay within the range, the usage should be between 74.2 and 97.7 HCF.
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
D)57 s 1.28x+38 ≤ 87; To stay within the range, the usage should be between 14.8 and 67.9 HCF.
Answers
Using a linear function, the correct option regarding the situation is given by:
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The bill is modeled by a linear function, with an intercept of $38 and a slope of $1.28, hence it is given by:
C(x) = 1.28x + 38
The bill should be between $57 and $87 dollars per month, hence:
57 <= C(x) <= 87.
The values of x are:
C(x) >= 57
1.28x + 38 >= 57
x >= 19/1.28
x >= 14.8.
C(x) >= 87
1.28x + 38 >= 87
x >= 49/1.28
x >= 38.3.
Hence option C is correct.
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The first and second steps to solve the equation StartFraction 3 x over 5 EndFraction + 5 = 20 are shown below. StartFraction 3 x over 5 EndFraction + 5 minus 5 = 20 minus 5 StartFraction 3 x over 5 EndFraction (Five-thirds) = 15 (five-thirds) Which property was applied in the second step?
Answers
The multiplication property of equality has been used in the second step when both sides of the equation have been multiplied by 5/3.
State the Multiplication Property of Equality:
The Multiplication Property of Equality states that multiplying both sides of the equation with the same number, expression, or variable, the equation remains unchanged, i.e. equality is maintained.
Use of Multiplication Property of Equality in the Second Step:
The given equation was,
3x/5 + 5 = 20
In the first step, subtraction property of equality is applied as follows,
3x/5 + 5 - 5 = 20 - 5
3x/5 = 15
Now, for isolating x on the left hand side, we must apply multiplication property of equality by multiplying both sides of the equation by 5/3.
We get,
3x/5 × 5/3 = 15 × 5/3
x = 25
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The safety triangle tries to predict safety performance. group of answer choices true false
Answers
TRUE
The safety triangle tries to predict safety performance.
The accident triangle, also known as Heinrich's triangle or bird's triangle, is a theory of occupational injury prevention. Indicates the relationship between serious accidents, minor accidents, and near misses. The idea is that the fewer minor accidents, the fewer serious accidents.
The process safety triangle is used to illustrate the different actions that can lead to an accident. This tool has a bottom up flow where each layer can be thought of as a preventative measure to the layer above it.
One of the main purposes of the process safety triangle is to explain how unsafe actions can lead to serious accidents. The Process Safety Triangle is also used to visualize different layers of protection and redesign systems to ensure better preventive practices. The lowest level of unsafe actions is categorized as the primary metric. A leading indicator is a preventive action taken to prevent an incident from occurring. Dangerous behavior by employees. B. Not wearing personal protective equipment or missing a system layer of protection is a major cause of process safety incidents. The wider the base of the process safety triangle, the wider the top level. This triangle shows that the more unsafe your actions are, the more likely you are to die in a process safety incident.
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Last one
Because if we simplify
(4x³y-6xy³)/2xy(2xy(2x²-3y²))/2xy2x²-3y²Verified
Answer:
D is the correct Answer.
Step-by-step explanation:
4x^3+-6xy^3
2xy
When dividing exponents you will subtract. Leaving you with 2x^3-3y^2.
Therefore your answer is D.
PLEASE HELP IM STUCK
Answers
Step-by-step explanation:
what is the problem ?
the solution of such a system of 2 equations is the point, where they cross.
this point has the same coordinates for both equations, and that is called the solution.
and we can clearly see that point in the graph :
(-1, 1)
formally we can solve that way
y = 2x + 3
y = -x
therefore,
2x + 3 = -x
3x + 3 = 0
3x = -3
x = -1
y = -x = - -1 = 1
so, we get
(-1, 1) as solution.