The option that correctly ranks the three boys in order from lowest to highest average speed is:
Jamal, Terri, AaronHow is the Average speed calculated?The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:
Terri = 3.95 km/48 min
= 0.082 km/min
Aaron = 2.65 km/31 min
= 0.085 km/min
Jamal = 6.50 km/81 min
= 0.080 km/min
When the results are obtained from lovwest to highest we will have:
0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.
Complete Question:
Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?
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Suppose 115.2 million households have at least one TV; if 82% have basic cable TV, how many households have basic
cable TV?
If 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is
94464000.
Given,
The total number of household have at least one TV = 115.2 millions
The percentage of household have basic cable TV = 82%
Then, the number of household have basic cable TV
=115200000×[tex]\frac{82}{100}[/tex]
=94464000
Hence, if 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is 94464000.
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the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
Based on the 1.5 × IQR rule for outliers, there is no evidence to support the student's claim because there is only one outlier at 58 minutes.
What is an outlier?An outlier is also referred to as anomalous data and it can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.
What is an interquartile range?IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):
IQR = Q₃ - Q₁
Based on the given data set, the following interquartile ranges was calculated by using Excel:
Q₃ = 31.5
Q₁ = 20.5
Now, the interquartile range (IQR) is given by:
IQR = Q₃ - Q₁
IQR = 31.5 - 20.5
IQR = 11
Based on the 1.5 × IQR rule for outliers, we have:
1.5 × IQR = 1.5 × 11 = 16.5
Therefore, our fences will be 16.5 points below Q₁ and 16.5 points above Q₃:
Lower fence = 20.5 - 16.5 = 4.5
Upper fence = 4.5 + 31.5 = 36.
In conclusion, we can reasonably infer and logically deduce that there is no evidence to support the student's claim because there is only one outlier at 58 minutes.
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Complete Question:
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 × IQR rule for outliers, is there evidence to support the student's claim?
Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?
Answer: 36 years old
Step-by-step explanation:
T=Tanya. M=Marcus
T=M+28
T+6=3(M+6)
T+6-6=3(M+6)-6
T=3(M+6)-6
M+28=3(M+6)-6
M+34=3M+18
34=2M+18
2M=16
M=8
T=M+28
T=8+28
T=36 years old
The current age of Tanya is equivalent to 45 years old.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus
Assume the initial age of Tanya is {x} years and that of Marcus is {y} years old. So, we can write -
x = y + 28 ....... Eq[1]
x + 6 = 3y ........ Eq[2]
Using Eq[1] in Eq[2], we get -
y + 28 + 6 = 3y
y + 34 = 3y
2y = 34
y = 17
Than, we can write [x] as -
x = 17 + 28
x = 45
Therefore, the current age of Tanya is equivalent to 45 years old.
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What is the value of this expression?
40÷[24−4×(2+3)]
Answer:
10
Step-by-step explanation:
hope it helps
Answer:
10
Step-by-step explanation:
ya its right
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 212 miles how many feet is that
Based on the given parameters, there are 1119360 feet in 212 miles
How to determine the number of feet?The given parameters are
12 inches = 1 foot
5,280 feet = 1 mile.
Multiply both sides of 5,280 feet = 1 mile by 212
So, we have
212 * 5,280 feet = 1 mile * 212
Evaluate the product
1119360 feet = 212 miles
The above means that there are 1119360 feet is 212 miles
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this is very important... its for alegbra.. please help
Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
[tex](x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\[/tex]
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
Which inequality is equivalent to -10 (x - 1) <13?
The inequality that is equivalent to the given inequality is -10x + 10 < 13
From the question, we are to determine the inequality that is equivalent to the given inequality
The given inequality is -10(x - 1) < 13
To determine the inequality that is equivalent to this inequality, we will solve the given inequality
Solving the inequality
-10(x - 1) < 13
Apply the distributive property
-10x + 10 < 13
Subtract 10 from both sides of the inequality
-10x + 10 - 10 < 13 - 10
-10x < 3
Divide both sides by -10 and reverse the sign
x > -3/10
From the steps of solving the inequality, the inequality that is equivalent to the given inequality is -10x + 10 < 13
Hence, the inequality that is equivalent to the given inequality is -10x + 10 < 13
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Answer:
C. -10x + 10 < 13
Find the slope and reduce.
P=(-2, 3) Q=(8, 3)
A
Slope = [ ?]
Hi!
Use the Slope Formula:
[tex]\begin{gathered}\\\bullet\implies\boldsymbol{\displaystyle\frac{y_2-y_1}{x_2-x_1}} \\\\\boldsymbol{Setting\:the\:Values}\\\bullet \boldsymbol{y_2=3}\\\bullet\boldsymbol{x_2=8}\\\bullet\boldsymbol{y_1=3}\\\bullet\boldsymbol{x_1=-2}\\\\\boldsymbol{Solving\:for\:the\:slope}\\\boldsymbol{\displaystyle\frac{3-3}{8-(-2)}}\\\boldsymbol{\dfrac{0}{8+2}}\\\boldsymbol{Slope\longrightarrow0}\end{gathered}[/tex]
I hope I helped! ^^
A student was asked to evaluate an expression the students work is shown describe any errors and find the correct value of the expression explain your reasoning
30 is the correct value of the expression in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.The error starts from here- 36-10 + 4
If we are doing addition or subtraction start from left
=36−10+4
=26+4
= 30
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if a bacteria population starts with 100 bacteria and doubles every four hours, then the number of bacteria after t hours is n = f(t) = 100 · 2t⁄4. (a) find the inverse of this function.
The inverse of the given function,f(t) = 100 . 2^(t/4) is 4 * log2(x/100).
What is the inverse of a function?
An inverse of a function f(x), is defined as another function that undoes the operations performed on the function. It is denoted by f^(-1).
Calculation of the inverse of a function
We are given a function,
f(t) = 100 . 2^(t/4)
Let us assume that f^(-1) represents the inverse of a function
Replacing f(t) with y, we get,
y = 100 . 2^(t/4)
Now, replace further t with y and y with x
x = 100 . 2^(y/4)
Rearranging, we have,
2^(y/4) = x / 100
Taking log both sides, we get,
(y/4) log 2 = log (x/100)
y/4 = log2(x/100)
y = 4 * log2(x/100)
Further, replace x with t and y with f^(-1), i.e.
f^(-1) = 4 * log2(t/100)
Hence, the inverse of the given function, f(t) = 100 . 2^(t/4) is 4 * log2(x/100).
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is sally has 3 apples and max has 3 apples, how much is all together
Answer:
6
Step-by-step explanation:
You count with your fingers. 1,2,3,4,5,6! Congrats you got your answer.
Question is below
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The expression, evaluated to the simplest form is -4
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
(9² + 19)/(10² - 5³)
Simplifying the expression
(9² + 19)/(10² - 5³)
9² = 81
10² = 100
5³ = 125
Thus,
The expression becomes
(81 + 19)/(100 - 125)
= 100/-25
= -4
Hence, the expression, evaluated to the simplest form is -4
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a host served two pies, one apple and one cherry. dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie. in all, what fraction of the total pies remained? a 23/20 b 3/4 c 23/40 d 3/5
The fraction of the total pies remained is option (A) 23/20 is the correct answer.
In this question,
A host served two pies, one apple and one cherry.
Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.
Apple pie = 25%
∴ Remaining = 100% - 25%
⇒ 75%
⇒ Fraction of apple pie remained is 3/4
Cherry pie = 60%
∴ Remaining = 100% - 60%
⇒ 40%
⇒ Fraction of cherry pie remained is 2/5
Thus fraction of the total pies remained is
⇒ 3/4 + 2/5
⇒ (15+8) / 20
⇒ 23/20
Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.
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Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
fl. oz.
PLEASE HELP URGENTLY
Answer:
A) (4,1)
B) (2,-1)
4⁄6 + 2⁄4 + 3⁄5 = answer
Answer: 53/30
Step-by-step explanation:
4/6 + 2/4 + 3/5 =
2/3 + 1/2 + 3/5 = ==> Simplify Denominators
30/30 * (2/3 + 1/2 + 3/5)= ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators
(2*30/3 + 1*30/2 + 3*30/5)/30=
(60/3 + 30/2 + 90/5)/30=
(20 + 15 + 18)/30=
(35 + 18)/30=53/30
Find the measures of two complementary angles if the measure of the larger angle is 2 less than 3 times the measure of the smaller angle. The measure of the smaller angle is
°,
and the measure of the larger angle is
°
The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
What are complementary angles?
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So we can say that two angles are complementary if they sum up to 90 degrees.
From the given statement;
let the larger angle = ylet the smaller angle = xy = 3x - 2 -------(1)
y + x = 90 --------(2) (since they are complementary)
substitute for y in equation (2)
3x - 2 + x = 90
4x = 92
x = 92/4
x = 23 ⁰
y = 3(23) - 2
y = 67⁰
Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The numbers given in scientific notation will be arranged from least to greatest as: 7.6×10⁻²⁰, 5.5×10⁻¹¹, 2.4×10², 8.9×10², 9.2×10⁴, 7.6×10²⁰.
Scientific notation of numbers may be defined as the way of representation of bigger numbers into powers of 10. This helps in reducing space as well as it helps in conveniently solving the problem. For example, scientific notation of 92000 may be written as 9.2×10⁴.
Here in the number 7.6×10⁻²⁰ the power of 10 is maximum but with a negative value so it is the least number. Then comes the number 5.5×10⁻¹¹ as its power are also negative but greater than the previous number. Similarly using the above logic, the other numbers will be placed, and the greatest number would be 7.6×10²⁰ as it has the maximum power of 10 that too with a positive sign.
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(-6) over 5 x (-6) over 8
Answer:
(-6 ÷ 5) × (-6 ÷ 8) = 9/10 or 0.9
Step-by-step explanation:
What value of x cannot be evaluated in the function r(x)?
if you have a table of values like those above and you can find the value for f(n), how would you go about finding the value of f(n-1)? How do f(n) and f(n-1) compare to each other?
Answer:
spam question
Step-by-step explanation:
Answer:
If you have a table of values like those above and you can find the value for f(n) . you go about finding the value of f (n-1)
Step-by-step explanation:
Please help me with mathh
Answer:
16
Step-by-step explanation:
A____(6)_____B____(10)_____C
6+10=16
Hope this helps!
what is the final step to be performed in the mathematical expression, (σx)2? group of answer choices square the sum of the scores square each score add the squared scores add the scores
The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
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The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
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If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
Which is equivalent to 3^√8*?
Answer:
C (8 to the x/3 power)
One number is 6 less than five times another. Their difference is 22. Find the numbers.
The numbers in the equations are -4 and -26
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to find the numbers?Let the numbers be x and y
A system of linear equations is a collection of at least two linear equations. So, we have the following linear equations
y = 5x - 6
x - y = 22
Substitute y = 5x - 6 in x - y = 22
x -5x + 6 = 22
Evaluate the like terms
-4x = 16
Divide both sides by -4
x = -4
Substitute x = -4 in y = 5x - 6
y = 5 * -4 - 6
Evaluate
y = -26
Hence, the numbers are -4 and -26
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Solve equation.
6 t-18=30
To solve the equation, add 18 to both sides, then divide by 6. The solution is t = 8.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve 6t-18 = 30
The variable is t. Isolate the variable by adding 18 to both sides:
6t -18 +18 = 30 +18
6t = 48
Divide both sides by 6
6t : 6 = 48 : 6
t = 8 (solved)
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x+1= 10
Please step by step
Pre algebra
Answer: x=9
Step-by-step explanation:
x+1= 10
x-1+1=10-1
x=10-1
x=9
Vijay's family is leaving for galactic gardens resort once his parents get home from work on friday. their house is 544 miles from the resort. they plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. if their average speed is 64 miles per hour, how long will they drive on the second day?
The next day they will drive for about 5.5 hours
In given question, Vijay's house is 544 miles from the resort.
after 3 hours of driving, they stop and spend the night at a hotel and then complete the rest of the trip on the second day.
Let in 3 hours of driving, they completed the 'x' miles of distance from their home.
So, they complete the rest of the trip of 544 - x miles on the second day.
Let t be the time in hours they drive on the second day.
Their average speed is 64 miles per hour.
⇒ 64 = [x + (544 - x) ] / [3 + t]
⇒ 64 = 544 / 3 + t
⇒ 64(3 + t) = 544
⇒ 192 + 64t = 544
⇒ 64t = 352
⇒ t = 5.5 hours
Therefore, The next day they will drive for about 5.5 hours
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what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of triangle par on the grid is the vertex p is on ordered pair 7 and 6.
What is vertex?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
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