Mean = -2
Median = -1
Mode = Nil
Range = 38
Step-by-step explanation:
Given data is:
-18, 10, -20, -11, 9, 18
Arranging the data in ascending order
-20, -18, -11, 9, 10, 18
Mean:
Mean is given by the formula
[tex]Mean=\frac{Sum}{items}[/tex]
Items are: 6
[tex]Mean = \frac{-20-18-11+9+10+18}{6}\\= \frac{-12}{2}\\= -2[/tex]
Mode:
Mode is the most frequent value in the data. So,
As there is no value repeated in the data. There is no mode
Median:
Median is the middle value of the data. As the no. of data value are even,
the average of middle 2 values is mode.
Note that the data has to be arranged in ordered to find median
Here,
[tex]Median = \frac{-11+9}{2}\\=\frac{-2}{2}\\= -1[/tex]
Range:
Range is the difference between the largest and smallest value of the data
Here
Largest value = 18
Smallest value = -20
So,
[tex]Range = Largest\ value-Smallest value\\= 18-(-20)\\= 18+20\\=38[/tex]
Hence,
Mean = -2
Median = -1
Mode = Nil
Range = 38
Keywords: Data, Median
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Marcela estimates the distance between the library and town hall is 735 ft. The actual distance is 612 ft.
What is the percent error in Marcela's estimate?
Round your answer to the nearest tenth of a percent.
Enter your answer in the box.
Answer:
The error percentage in estimation is 20 %
Step-by-step explanation:
The estimated distance between library and town = 735 ft
The actual distance = 612 ft
The Error in estimation = Estimated Distance - Actual Distance
= 735 ft - 612 ft = 123 ft
So, the error in the estimation is 123 ft.
Now, [tex]\textrm{ Percentage in Error Estimation} = \frac{\textrm{The estimated Error}}{\textrm{The estimated value}} \times 100[/tex]
= [tex]\frac{123}{612} \times 100 = 20.098[/tex]
or, The error percentage in estimation is 20.09%
Now, rounding off the value to the nearest tenths of a %, we get:
The error percentage in estimation is 20 %
choose all that are correct given the equation:
y= 1/4 x + 9
A) y = 7.25 when x = –7
B) y = 7 when x = –8
C) y = 8.5 when x = –4
D) y = 10.25 when x = 5
Answer:
A), B) & D).
Step-by-step explanation:
Answer:
A) y = 7.25 when x = –7
C) y = 8.5 when x = –4
D) y = 10.25 when x = 5
Priya and Han are biking in the same direction on the same path.
Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after hours.
Priya started riding a half hour before Han. If Han has been riding for hours, how long has Priya been riding?
Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for hours.
Use your expressions to find when Han and Priya meet.
I copy the complete questions again to make them clearer:
Priya and Han are biking in the same direction on the same path.
a. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after [tex]t[/tex] hours.
b. Priya started riding a half hour before Han. If Han has been riding for [tex]t[/tex] hours, how long has Priya been riding?
c. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for [tex]t[/tex] hours.
d. Use your expressions to find when Han and Priya meet.
Answer:
a) [tex]H=16t[/tex]b) [tex]t+0.5[/tex]c) [tex]P=12(t+0.5)[/tex]d) Han and Priya meet 1.5 hours after Han started riding.Explanation:
a. Since Han is riding at a constant speed of 16 miles per hour, the number of miles that he has gone is proportional to the number of hours, t, that he has been riding, the constant of variation is 16, and the expression for the number of miles he has gone is:
[tex]H=16\times t=16t[/tex]Where, H is the number of miles Han has gone, and t is the number of hours.
b. Since Priya started riding a half hour before Han, you have to add 1/2 or 0.5 to the time of Han, which is t, to express how long Priya has been riding:
[tex]t+0.5[/tex]c. Since, Priya is riding at a constant speed of 12 miles per hour, the number of miles that she has gone is proportional to the number of hours, t + 0.5, that she has been riding, the constant of variation is 12, and the expression for the number of miles she has gone is:
[tex]P=12\times (t+0.5)=12(t+0.5)[/tex]Where P is the number of miles Priya has gone, and t is the number of hours since Han is riding.
d. To find when Han and Priya meet, you just need to solve the sytem of equations, making H = P, which means that the number of miles that both Han and Priya rides is equal:
[tex]H=P\\ \\ 16t=12(t+0.5)\\ \\ 16t=12t+6\\ \\ 4t=6\\ \\ t=6/4=3/2=1.5[/tex]
Which means that they meet when it has passed 1.5 hours since Han started riding.
What is the constant of proportionality in the equation y=0.41x
Answer:
0.41
Step-by-step explanation:
formula; y = kx (where k is the constant variation)
the standard equation representing direct variation
y = 0.41 x is the equation to find the constant of proportionality
so, K = 0.41
[tex]5x - 15 + 130 = x - 2 [/tex]
Answer:
x=-117/4
Step-by-step explanation:
5x-15+130=x-2
5x-x+115=-2
4x+115=-2
4x=-2-115
4x=-117
x=-117/4
What is the slope of the line that passes through the points (-6, -7) and
(-24, -7)? Write your answer in simplest form.
Slope of the line is 0.
Step-by-step explanation:
Given points are,
(-6, -7) and (-24, -7)
Here,
[tex]x_{1} = -6\ \ \ \ \ y_1=-7\\x_2=-24\ \ \ \ \ y_2=-7[/tex]
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope = \frac{-7-(-7)}{-24-(-6)}\\Slope=\frac{-7+7}{-24+6}\\Slope=\frac{0}{-18}\\Slope= 0[/tex]
Slope of the line is 0.
Keywords: slope, line
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Final answer:
The slope of the line that passes through the points (-6, -7) and (-24, -7) is calculated using the slope formula and is found to be 0, indicating that the line is horizontal.
Explanation:
The question asks for the slope of the line that passes through the points (-6, -7) and (-24, -7). To calculate the slope, we use the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in our values, we get the slope = (-7 - (-7)) / (-24 - (-6)) = 0 / -18 = 0. Therefore, the slope of the line through these two points is 0, which means the line is horizontal.
Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which line has the greater slope?
Answer:
The slope of the given line 1 is -4/5.
The slope of the given line 2 is 0.
The line 2 has a greater slope then line 1.
Step-by-step explanation:
The slope of a line with points (x1,y1) and (x2,y2) is given as:
[tex]m = \frac{y_2- y_1}{x_2-x_1}[/tex]
Now, Here the, points of the line 1 are A (-2,7) and B (3,3)
So, here, the slope of line AB is [tex]m = \frac{3 -7}{3-(-2)} = \frac{-4}{3 +2} = \frac{-4}{5}[/tex]
Hence, the slope of the given line 1 is -4/5.
Now, Here the, points of the line 2 are P (5,1) and Q (9,1)
So, here, the slope of line PQ is [tex]m = \frac{1-1}{9-5} = \frac{0}{4} = 0[/tex]
Hence, the slope of the given line 2 is 0.
Now, as we can see 0 > ( -4 / 5)
So, the line 2 has a greater slope then line 1.
165 as a percent from 4,125
Answer:
$100\%=165$100%=165.
Step-by-step explanation:
Answer:
4%
Step-by-step explanation:
165 is what % of 4125.
Let x represent the % in decimal form
4125*x = 165
Isolate x by dividing both sides by 4125
x = 0.04
0.04 = 4%
You find this by moving the decimal two places to the right
A new car is listed at 27,000. A prospective buyer would incur initial expenses that consist of 4%. sales tax and a license fee of $36. what would the total amount in dollars of the incurred initial expenses be?
Answer:
$28,116
Step-by-step explanation:
27,000/100*104 = 28,080 + 36 = $28,116
At one of the warehouse stores, paper towels cost $10.48 for a package of 8 rolls. What is the unit price?
Answer:
Unit price = $1.31/roll
Step-by-step explanation:
Divide total cost by number of units:
$10.48 / 8 rolls = $1.31/roll
The price of peaches at Al’s supermarket can be determined by the equation p=0.28n, where P is the price and n is the number of pounds of peaches what is the constant of proportionality
Answer:
k = 0.28
Step-by-step explanation:
The price of peaches at Al's supermarket can be determined by the equation P = 0.28n ........... (1)
where P is the price and n is the number of pounds of peaches.
Now, it is clear that the price of peaches is proportional to the number of pounds of peaches.
So, we can write,
P ∝ n
⇒ P = kn ............. (2) where k is the constant which we have to multiply to covert from proportionality to equation form.
Now, comparing equations (1) and (2) we get k = 0.28 which is the value of the constant of proportionality. (Answer)
Final answer:
The constant of proportionality in the equation p = 0.28n is 0.28, representing the price per pound of peaches at Al's supermarket.
Explanation:
The constant of proportionality in the equation p = 0.28n, where P is the price and n is the number of pounds of peaches, is 0.28. This constant represents the price per pound of peaches at Al's supermarket. When you want to compute the amount spent on peaches, you multiply the quantity (in pounds) by this constant of proportionality, which is the price per pound. As an example, if you have 10 pounds of peaches, the total cost would be calculated as 10 pounds × $0.28 per pound, resulting in a total of $2.80 for the peaches.
Which of the following is the perimeter of a triangle with side lengths of 7 inches, 8 inches, and 13 inches?
15 inches
13 inches
28 inches
27 inches
Answer: 28 inches
Step-by-step explanation:
Side1 + side 2 + side 3 =
7 inches + 8 inches + 13 inches =
28 inches
For which discriminant is the graph possible
b2-4ac=0
b2-4ac=-1
b2-4ac=4
Answer:
"[tex]b^2-4ac=4[/tex]"
Step-by-step explanation:
By looking at the value of the discriminant in a quadratic, we can find the nature of roots.
Let the value of the discriminant be "D", so we can say:
D > 0 [2 distinct real roots]D = 0 [2 same real roots]D < 0 [no real roots]Graphically, we can write the points in order as:
D > 0, 2 cutting point in x-axisD = 0, 1 touching point in x-axisD < 0, NO cutting/touching point in x-axisLooking at the graph, we clearly see that there is 2 cutting points in the x-axis, so there are 2 roots. This means the value of the discriminant should be greater than 0 (positive value).
Out of the 3 choices given with discriminant formula, the last one has a value that is greater than 0:
4 > 0
Hence, last answer choice is right.
The discriminant determines whether a quadratic equation has real solutions and affects the appearance of the graph.
Explanation:The discriminant is calculated using the formula Δ = b² - 4ac. In order for the graph to be possible:
If Δ = 0, the quadratic equation will have one real root. The graph will touch the x-axis at one point.If Δ < 0, the quadratic equation will have no real roots. The graph will not intersect the x-axis and will be entirely above or below it.If Δ > 0, the quadratic equation will have two distinct real roots. The graph will intersect the x-axis at two points.Therefore, for the discriminant values given:
For Δ = 0, the graph is possible.For Δ = -1, the graph is not possible.For Δ = 4, the graph is possible.On a certain hot summer's day, 643 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled
$1161.50. How many children and how many adults swam at the public pool that day?
249 children and 394 adults swam at the public pool.
Step-by-step explanation:
Number of people swam at pool = 643
Receipts = $1161.50
Cost for one child = $1.50
Cost for one adult = $2.00
Let,
x be the number of children
y be the number of adults
According to given statement;
x+y=643 Eqn 1
1.50x+2.00y = 1161.50 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50[/tex]
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249[/tex]
Putting x=249 in Eqn 1
[tex]249+y=643\\y=643-249\\y=394[/tex]
249 children and 394 adults swam at the public pool.
Keywords: linear equation, subtraction
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What is the length of the side opposite angle B?
3 units
4 units
5 units
6 units
Answer:
B
Step-by-step explanation:
4 units is the answer. i got an 100% on the quiz
The triangle missing from the question has attached and the opposite side of angle B is 4 units.
What is a traingle?A triangle is a three sides lines geometry in which the sum of all angles is 180°.
Given that a triangle ABC and has sides as
AB = 4
BC = 3
AB = 5
It's clearly visible that the opposite side of angle B is AC which has length as 4 units.
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Find the 2nd term of (2x+3y)^3
Answer:
The 2nd term is 3y
Step-by-step explanation:
2x + 3y
__ __
1 2
term term
Answer:
3y
Step-by-step explanation:
11. The distance from Mac's house to school
is 575 yards. Mac's goal is to walk to
school in 5 minutes. How many yards
does Mac need to walk each minute to
meet his goal?
Answer:
115 yards per minute
Step-by-step explanation:
575/5= 115
Answer:
115 yds per minute
The drawing will help
A basketball arena can hold approximately 7,000 people. Fans bought 5,134 tickets before the game. About how many more seats are left to fill before the game.
To determine the number of seats left in the basketball arena, the number of tickets sold (5,134) is subtracted from the total arena capacity (7,000), resulting in 1,866 seats remaining available.
A basketball arena can hold approximately 7,000 people.
Fans bought 5,134 tickets before the game.
The number of seats left to fill before the game can be calculated by subtracting the tickets bought from the total arena capacity: 7,000 - 5,134 = 1,866 seats left to fill.
8 1/3 s for s = 4 1/2
Answer:
75/2 (or 37 1/2)
Step-by-step explanation:
Here we're multiplying 4 1/2 by 8 1/3.
Converting both numbers to improper fractions:
9/2 times 25/3, or
9 25
---- * ------
2 3
Reducing the fractions, we get:
3 25
---- * ------ = 75/2 (answer)
2 1
The value of the given expression is 36.
Use the concept of fraction defined as:
A fraction is part of a whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
[tex]s = 4\dfrac{1}{2}[/tex]
We have to calculate [tex]8\dfrac{1}{3} \test{s}[/tex]
Now convert both fractions into improper fractions,
[tex]4\dfrac{1}2} = \dfrac{8 + 1}{2}\\\\4\dfrac{1}{2} = \dfrac{9}{2}\\\\[/tex]
And [tex]8\dfrac{1}{3} = \dfrac{24}{3}[/tex]
Now we have,
s = 9/2
Therefore,
[tex]8\dfrac{1}{3}s = \dfrac{24}{3}s\\\\8\dfrac{1}{3}s = \dfrac{24}{3}\times\dfrac{9}{2}\\\\[/tex]
Simplifying we get,
[tex]8\dfrac{1}{3}s = 12 \times 3\\\\ 8\dfrac{1}{3}s = 36[/tex]
Hence the value of the expression is 36.
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1. y = 4x + 3 for x = -1, 0,1
Answer:
-1, 3, 7
Step-by-step explanation:
y = 4(-1) + 3
y = -4 + 3
y = -1
y = 4(0) + 3
y = 0 + 3
y = 3
y = 4(1) + 3
y = 4 + 3
y = 7
To solve the linear equation y = 4x + 3, substitute the given x values (-1, 0, 1) into the equation to find the corresponding y values. The results are -1, 3, and 7 respectively.
Explanation:The question asks to solve the equation y = 4x + 3, for the values of x being -1, 0, and 1. This is a linear equation where y depends on x. To find the corresponding y values for each x value:
Substitute x = -1 into the equation. The calculation becomes: y = 4(-1) + 3 = -4 + 3 = -1.Substitute x = 0 into the equation. The calculation becomes: y = 4(0) + 3 = 0 + 3 = 3.Substitute x = 1 into the equation. The calculation becomes: y = 4(1) + 3 = 4 + 3 = 7.Hence, the values for y when x equals -1, 0, and 1 respectively are -1, 3, and 7.
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Use Newton's method to approximate the roots
of f(x) = 3x3 – 4x2 + 1 to six digits.
Answer:
Step-by-step explanation:
14
How many Oxygen atoms are in the following equation Pb(C2H3O2)2
Swami packed 28 oranges and 52 apples in boxes. He packed oranges and apples in separate boxes. If he put equal number of fruits in each box, find the maximum number of fruits he put in
each box.
Answer:
4
Step-by-step explanation:
Find the greatest common factor (GCF) of 28 and 52. First, write the prime factorization of each:
28 = 2² × 7
52 = 2² × 13
The GCF is 2² or 4. So the most fruits per box is 4.
Please help meeeeeeeeeee!!!!!!!!!!!!
DUE TONIGHT!!!!!!!!!
Np i gotchu my dude
1. represents
2. Each y value
3. to exactly
4. x value
Hope this helps my dude ^^
Answer:
Explain wether the graph represents a function.The graph represents a function because each x-value corresponds to exactly one y-value.
For example, in the given graph you see that for x=2 there's only one corresponding value, which is, y=40, that's what defines a function. If you have a graph where a certain value of x has to y values, that means is not a function, because for one x-value would be more than one y-values, so that would be only a relation, not a function.
It's important to specify the right order, that is, if we say each y-value corresponds to exactly one x-value, that's not exactly de definition of a function, because it actually happens, because in a quadratic expression, 2 and -2 would be the same result 4, so one y-vale has two x-value, but it's still a function.
So, the right order is The graph represents a function because each x-value corresponds to exactly one y-value.
Write the decimal as a fraction or a mixed number in simplest form.
5.76
Answer:
Step-by-step explanation:
it is 145/25 which is reduced to 29/5
Answer:
5 19/25
Step-by-step explanation:
What is another way to write this number:
300+70+5/10+8/100
Answer:
18529/50 or 370.58
Step-by-step explanation:
5/10=1/2
8/100=2/25
300+70+1/2+2/25
370+1/2+2/25
370+29/50
18529/50 or 370.58
Step-by-step explanation:
370 + 50/100 + 8/100
37000/100 + 58/100
37058/100 = 370 58/100 = 370 29/50
If 3(r+300)=6, then what would be the value of r+300-2?
Answer:
The value of r+300-2 is 0.
Step-by-step explanation:
3(r+300)=6
r+300=6/3
r+300=2
r=2-300
r=-298
---------------
r+300-2=-298+300-2=2-2=0
Which choice is a factor of 62?
A.13
B.20
C.62
D.3
Answer:
C, the answer is 62.
Step-by-step explanation:
Well, 1 x 62 is 62 so that's the only factor of 62 out of all of them.
There are 482 studemts in the school and there are two Grade 4 classes: Ms.Ashley's and Mr.Ben's classes. Mrs. Aheley's class had 15 boays and 6 girls. Mr Ben's class ahd 14 girls and 10 boys. In Ms. Ashley's class, 2/3 of the students wear glasses.
In Mr. Ben's class, 1/4 of the kids have others siblings in the school.
1. What fraction of the students in the school are in grade 4?
2. What fraction of the grade 4 students are boys?
3. What fraction of the grade 4 students are in Ms. Ashley's class?
4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?
5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?
Answer:
1. 45/482 of the students are in grade 4.
2. 5/9 of the students of the grade 4 are boys.
3. 7/15 of the grade 4 students are in Ms. Ashley's class
4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.
5. There are 14 students with glasses and 7 without glasses.
Step-by-step explanation:
1. Let's review the information given to us for solving the questions:
Number of students in the school = 482
Ms. Ashley's Grade 4 class = 21 students
Ms. Ashley's Grade 4 class boys = 15 students
Ms. Ashley's Grade 4 class girls = 6 students
Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students
Mr. Ben's Grade 4 class = 24 students
Mr. Ben's Grade 4 class boys = 10 students
Mr. Ben's Grade 4 class girls = 14 students
Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students
2. Let's answer all the questions:
1. What fraction of the students in the school are in grade 4?
(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school
21 + 24 / 482 = 45/482
2. What fraction of the grade 4 students are boys?
(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)
15 + 10 / 21 + 24
25 / 45 = 5/9
3. What fraction of the grade 4 students are in Ms. Ashley's class?
Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)
21 / 21 + 24
21 / 45 = 7/15
4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?
(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class
24 - 6 / 24
18 / 24 = 3/4
5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?
There are 14 students with glasses and 7 without glasses.
a store in Rogers's neighborhood sells boxes of pencils that have 6 pencils in each box. roger bought several boxes of pencils at the store. which could be the number of pencils he bought?
Answer:
Step-by-step explanation:
It could be 42 pencils