The mean distance ran by all four of them is 30.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that during one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles.
A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. Mathematically, we can write -[tex]${\displaystyle {\bar {x}}={\frac {1}{n}}\left(\sum _{i=1}^{n}{x_{i}}\right)={\frac {x_{1}+x_{2}+\cdots +x_{n}}{n}}}[/tex]
We can write the mean as -
m = (36 + 26 + 30 + 28)/4
m = 120/4
m = 30
Therefore, the mean distance ran by all four of them is 30.
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Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.
The inverse of the relation y=6x-3 is y = (x + 3) / 6.
To find an equation for the inverse of the relation y=6x-3, we need to follow a series of steps which involves swapping the variables, and then solving for the new y.
Start with the initial equation: y = 6x - 3.
Swap the variables x and y: x = 6y - 3.
Solve for y to find the inverse relation: Add 3 to both sides to get x + 3 = 6y, then divide both sides by 6 to isolate y, resulting in y = (x + 3) / 6.
Grace sureyed 60 random students in her school.Of these 14 said they enjoy watching Dancing with the star.A total of 570 students in the school. How many these are expected to enjoy dancing with the Stars?
Using the proportion of students who enjoy watching Dancing with the Stars from Grace's survey, we can estimate that approximately 133 students at her school are expected to enjoy the show.
Grace surveyed 60 random students at her school and found that 14 enjoy watching Dancing with the Stars. With a total of 570 students in the school, we can establish a proportion to estimate how many students school-wide might enjoy the show. We do this by setting up a ratio of students who enjoy the show to the total number of students surveyed and then use that ratio to estimate the number for the entire school population.
To calculate, we take the ratio from the survey (14/60) and apply it to the total student body (570) like so:
Determine the ratio of students who enjoy the show from the survey: 14 out of 60.Find what proportion that ratio represents: 14/60 = 0.2333 (rounded to four decimal places).Apply this proportion to the entire student population: 0.2333 * 570 = 133.01, which we round to 133 students expected to enjoy Dancing with the Stars.Therefore, approximately 133 students in Grace's school are expected to enjoy watching Dancing with the Stars.
name the following triangle according to its angles and sides: 120 degrees, 35 degrees, 25 degrees
Final answer:
The triangle with angles of 120 degrees, 35 degrees, and 25 degrees is classified as an obtuse scalene triangle because it has one angle greater than 90 degrees and all angles of different measures.
Explanation:
To classify the triangle with angles of 120 degrees, 35 degrees, and 25 degrees, we first confirm that the sum of its angles is 180 degrees, which is true for any plane triangle. Given this sum, we can classify the triangle based on its angles and sides.
A triangle with one angle greater than 90 degrees is called an obtuse triangle, as it has an obtuse angle (greater than 90 degrees). Since this triangle has a 120-degree angle, it fits that definition. Furthermore, because all the angles are different, we can classify it as a scalene triangle, meaning all sides have different lengths. Therefore, the correct classification for this triangle is an obtuse scalene triangle.
A. What there-dimensional figure can be assembled from this net?
Answer:__________
B. If each square has a side length of 48 cm, write an expression for the surface area.
Answer:__________
C. Calculate the volume of the figure above given the side length of 48 cm. Use a formula. SHOW YOUR WORK.
D. What would happen to the volume of the figure if you reduce the side length by 25%? Explain your reasoning.
____________________________________________________________
Francine just created a music video and uploaded it to YouTube. She is keeping track of the number of hits (visits) to her video. The table shows the number of hits, y, in each of the first 10 days, where x is the day number. After regression analysis, she find that the equation y = 18.36(1.74)x represents the situation. What does the base number represent in this situation?
The base number in the given situation is 1.74. This number is commonly referred to as the growth rate.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The given equation y = 18.36(1.74)ˣ represents the situation.
The base number in this equation is 1.74. In an exponential function, the base is a constant multiplied by itself a certain number of times.
In this case, the base is multiplied by itself x number of times.
For example, on day 1 (x=1), the number of hits is 18.36(1.74)¹ = 32.5 hits.
On day 2 (x=2), the number of hits is 18.36(1.74)² = 56.6 hits. The base number represents the rate at which the number of hits is increasing. If the base is greater than 1, the number of hits is increasing at an exponential rate.
If the base is less than 1, the number of hits is decreasing at an exponential rate. If the base is equal to 1, the number of hits is increasing at a constant rate.
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is .8801 positive or negative
show the sample space of a toss of two dice as a list denote the event of a sum of 3 or 6 or 9 on the list
Rectangular fish aquarium with height 15 inches length 20 inches and width 20 inches
A square has an area of 64 square units.A cube has a volume of 64 cubic units, What is the difference in the side length of the square and the length of one edge of the cube?
A.0 units
B.2 units
C.4 units
D.8 units
Can someone help me solve this?
Let a=x^2+4. rewrite the following equation I terms of a and set it to equal zero.
(x^2+4)^2+32=12x^2+48
In resulting equation what is the coefficient of the a term?___
In the resulting equation, what is the constant? ____
Answer:
1) -12
2) 32
Step-by-step explanation:
Which does NOT appear in an algebraic expression?
A. a number
B. a variable
C. an equal sign
D. a multiplication symbol
The area of a circle is 68 square centimeters find the diameter
Quadrilateral ABCD is translated 2 units left and 3 units up to form quadrilateral A'B'C'D'
What are the coordinates of the vertices of the new figure?
A)
A' (-3, 0)
B' (-3, 3)
C' (0, 2)
D' (0.5, 0)
B)
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)
C)
A' (5, -8)
B' (8, -8)
C' (-5, 7)
D' (5, -4.5)
D)
A' (-3, 5)
B' (-3, 8)
C' (-6, 7)
D' (-5.5, 5)
The coordinates of the vertices of the new figure A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).
The coordinates of the vertices of quadrilateral ABCD are A(-6, 2), B(-6, 5), C(-3, 4), and D(-2.5, 2).
To translate the quadrilateral 2 units left and 3 units up, we subtract 2 from the x-coordinates
and add 3 to the y-coordinates of each vertex.
Therefore, the coordinates of the vertices of quadrilateral A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).
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Carrie wants to know what the probability is that a card drawn randomly from a deck will be an ace.her sample space includes all 52 cards in a standard deck.Which of these outcomes compose the event
what is the simplest form of this expression w^2(-4w^2-2)+(-5w^2)(-2w^2-2)
a 15-oz iced tea at a certain restaurant had 135 calories. How many calories are there in a 22-oz iced tea?
The solution is, There are 198 calories in a 22-oz iced tea.
What is multiplication?
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
a 15-oz iced tea at a certain restaurant had 135 calories.
now we have to find that, How many calories are there in a 22-oz iced tea.
i.e. we have
15/135 = 22/?
let, x calories are there in a 22-oz iced tea.
now, 15/135 = 22/x
or, x = 22 x 135 / 15
we have,
22 x 135 = 2970
2970/15 = 198
so, x = 198
There are 198 calories in a 22-oz iced tea.
Hence, The solution is, There are 198 calories in a 22-oz iced tea.
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Sebby has 330 for singing lessons he paid 20 for each lesson how many lessons has he attended if he still has 210 left
1)four congruent circular holes with a diameter of 2in were punched out of a piece of paper,what is the area of the paper that is left use 3.14pi
A)80.94
B)90.36
C)93.50
D)106.06
and can someone explain how to find the answer for these type of problem?
Answer:
80.94 is the answer
Step-by-step explanation:
A sandwich shop offers the following toppings. How many two topping sandwiches can you make?
-lettuce
-tomato
-bacon
-cheese
-mustard
A sandwich shop offers the following toppings. How many two topping sandwiches can you make?
-lettuce
-tomato
-bacon
-cheese
-mustard
Solution:
There are five toppings available and the five toppings are lettuce, tomato, bacon, cheese, mustard.
We need to make 2 topping sandwiches.
So, we can select any 2 toppings from the available 5 toppings
So, we must use combination here
So, the number of two topping sandwiches is 5 combination 2
Or, Number of 2 topping sandwiches= 5 C 2
The formula is, n C r =[tex]\frac{n!}{(n-r)!r!}[/tex]
So, The number of 2 topping sandwiches= 5 C 2 =[tex]\frac{5!}{(5-2)!2!}[/tex]
The number of 2 topping sandwiches=[tex]\frac{5!}{(3)!2!}[/tex]
The number of 2 topping sandwiches=[tex]\frac{(5*4*3*2*1)}{(3*2*1)(2*1)}[/tex]
The number of 2 topping sandwiches=[tex]\frac{120}{12}[/tex]
The number of 2 topping sandwiches=10
that is,
lettuce, tomato(1)
lettuce, bacon(2)
lettuce, cheese(3)
lettuce, mustard(4)
tomato,bacon(5)
tomato,cheese(6)
tomato,mustard(7)
bacon,cheese(8)
bacon, mustard(9)
cheese,mustard(10)
Answer: So, there are 10 possible two topping sandwiches
Kurt bought a bike for $149.95. Eric bought a bike that had been $169.50 but was marked 1/5 off. How much less did Eric’s bike cost than Kurt’s?
After calculating the discount and subtracting it from the original price, Eric's bike cost $135.60, which is $14.35 less than Kurt's bike that cost $149.95.
To determine how much less Eric paid for his bike compared to Kurt's bike, we need to calculate the discount Eric received and subtract it from the original price of his bike. Then, we'll compare it to the price Kurt paid for his bike.
First, we calculate Eric's discount by multiplying the original price of the bike, $169.50, by 1/5 (which represents the 20% discount):
$169.50 times 15= $33.90.
Now, subtract this discount from the original price to find out how much Eric paid for the bike:
$169.50 - $33.90 = $135.60.
Finally, to find out how much less Eric's bike cost than Kurt's, we subtract the price Eric paid from the price Kurt paid:
$149.95 - $135.60 = $14.35.
Eric's bike cost $14.35 less than Kurt's.
You bought 5 folders that cost x dollars each, a calculator for $45, and a set of pens for $3. a. 5x + 48 c. 5x + 45x + 3x b. 5 + 45 + 3
Team A scored the following points per game: 67, 45, 92, 77, 73, 72, 80, 62, and 44. What is the mean of Team A?
The mean scores for all 9 games played is 68
Measure of Central TendencyGiven Data
Sum of Scores = 67+ 45+ 92+77+73+ 72+ 80+ 62+ 44 = 612Numbers of games = 9Hence the mean is computed is the summation of scores over the number of games played
= 612/9
= 68
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A circular plate has circumference 34.5 inches. What is the area of this plate? Use 3.14 for pi.
To find the area of the plate, we first calculate the radius using the given circumference and then plug this into our formula to find the area. The calculated area of the plate is approximately 94.52 square inches.
Explanation:The student is asking for the area of a circular plate with a given circumference, using 3.14 for pi. The formula to calculate the area of a circle is A = πr². However, we only have the circumference, which allows us to find the radius using the formula C = 2πr, or rearranged to solve for r, r = C / (2π). Plugging in the given circumference of 34.5 inches, we find the radius to be 34.5 / (2 * 3.14) = 5.49 inches. Now, we can find the area by substitifying this value back into our area formula, A = πr², yielding A = (3.14) * (5.49²) ≈ 94.52 square inches.
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To find the area of the circular plate having its circumference as 34.5 inches, we firstly calculate its radius using the formula r = Circumference/(2π) which gives approximately 5.49 inches. We then substitute the radius value in the formula for area of a circle (Area = πr²), yielding an area of approximately 94.52 square inches.
Explanation:In mathematics, the circumference of a circle is related to its radius through the formula: Circumference = 2πr.
Given that the circumference of the plate is 34.5 inches, and we use 3.14 for π, we first work out the radius by rearranging the formula like so: r = Circumference / (2π).
Substitute the given values: r = 34.5 inches / (2*3.14)
Do the calculation: r approximately equals 5.49 inches.
Next, use the formula for the area of the circle which is: Area = πr².
Substitute r: Area = 3.14 * (5.49 inches)²
Calculate: Area is approximately 94.52 square inches.
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Each chair installed in the new chapel requires 24 inches of clearance. If each row cannot be greater than 35 feet in length, how many chairs may be placed in each row?
(write as an inequality and solve)
The solution is 17 chairs
The number of chairs placed is 17 and the inequality equation is 2x < 35 , where x is the number of chairs
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of chairs be represented as x
Now , the inequality equation will be
Each chair installed in the new chapel requires 24 inches of clearance
So , 24 inches = 2 feet
And , each row cannot be greater than 35 feet
So , the number of 2 feet chairs = 2x
And , 2x cannot be greater than 35 feet
Substituting the values in the equation , we get
2x < 35 be equation (1)
Divide both sides of the equation by 2 , we get
x < 17.5
x < 17 chairs
Therefore , the value of x is 17 chairs
Hence , the number of chairs is 17 chairs
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Which line would be the line of best fit for the scatter plot?
The first line is the line of best fit for this given disperse plot.
"A disperse plot is a kind of plot or numerical graph involving Cartesian directions to show values for regularly two factors for a bunch of information.
On the off chance that the focuses are coded, one extra factor can be shown."
For a particular scatter plot, four different lines are drawn here.
We know, a line drawn on a disperse plot fits it the best is the line that is nearer to a large portion of the places.
during the year, rachel walked 115 miles biked 180 miles and ran 111 miles how many miles did she travel round to the nearest ten to estimate and then write and solve an equation
Find the quotient. (14x^3-21x^2 +28x)/(7x)
The calculated quotient of the expression (14x³ - 21x² + 28x) ÷ 7x is 2x² - 3x + 4
How to evaluate the quotient expression
From the question, we have the following parameters that can be used in our computation:
(14x³ - 21x² + 28x) ÷ 7x
Factor out x in the numerator
So, we have
(14x³ - 21x² + 28x) ÷ 7x = x(14x² - 21x + 28) ÷ 7x
Evaluate the quotient
(14x³ - 21x² + 28x) ÷ 7x = (14x² - 21x + 28) ÷ 7
Divide through by 7
(14x³ - 21x² + 28x) ÷ 7x = 2x² - 3x + 4
Hence, the quotient of the expression is 2x² - 3x + 4
In a survey 200 people were polled at a local shopping center about spending free time playing sports, watching a movie, or reading a book. The relative frequency table below displays the results.
a. How many males surveyed preferred playing sports?
b. How many people surveyed preferred to read a book?
c. How many females were surveyed?
There were total 2000 people in the survey.
We can multiply relative frequency of any particular category with the total number of people to find the answer for each part.
Part A: How many males surveyed preferred playing sports?
Total Relative frequencies of Males who preferred playing sports = 0.30
Number of Males preferred playing sports = 0.30 x 2000 = 600.
Part B: How many people surveyed preferred to read a book?
Total Relative frequencies of people who preferred reading book = 0.10 + 0.15 = 0.25
Number of people preferred reading book = 0.25 x 2000 = 500.
Part C: How many females were surveyed?
Total Relative frequencies of Females = 0.15 + 0.05 + 0.15 = 0.35
Number of Females surveyed = 0.35 x 2000 = 700.
Mr Jones spent 156 to attend a college football game .twenty percent of this cost was for a parking pass.he spent the remainder of the money on two tickets for the game .what was the price per ticket