Answer:
d.mean =15, median =15.5, mode = 16
Step-by-step explanation:
hello,
to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.
to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.
last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.
hope this helped!
Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2
Answer: (b) x = -2/3
Step-by-step explanation:
The vertical asymptote is the restriction on x.
The denominator cannot be equal to zero so that it the restriction.
Set the denominator equal to zero and solve for x to find the asymptote.
3x + 2 = 0
3x = -2
x = -2/3
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.
Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
plz help
Answer:
99
Step-by-step explanation:
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
each term can be written as:
(a²- b²)/(a+b)= (a+b)(a-b)/(a+b)= a-bso the sum will look as:
99 -98+ 98- 97 + 97- 96 + ... +2- 1= 99-1= 98(all middle terms get cancelled leaving only 99 and -1 in the equation)
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:B.
Step-by-step explanation:
Choose the correct conversion of 25 grams to milligrams. A. 0.025 B. 0.25 C. 250 D. 25,000
Answer:25000 because 1 m is equal to 1000mm
PLEASE MARK ME AS BRAINLIEST
A car travels 3 hours at 50mph; then travels 40mph for 7 hours. How many miles does it travel during the 10 hours?
Answer: 430 miles
Step-by-step explanation:
Distance = speed x time
1) D = 50 x 3 = 150
2) D = 40 x 7 = 280
Total distance travelled = 150+280 = 430
On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
93 hamburgers
Step-by-step explanation:
let cheeseburgers=c
let hamburgers=h
c=3h
c+h=372
Substitute c for 3h
3h+h=372
4h=372
h=93
c=h*3=93*3=279
279 cheeseburgers 93 hamburgers
The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.
At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?
Answer: 79/4
Step-by-step explanation:
The kettle contains 20 3/8 cups of soup = 163/8 cups
A server scoops 5/8 cup from the kettle
So,
163/8 - 5/8 = 158/8 = 79/4
Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.
Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3
Answer:
x + y ≥ 3
x + y ≤ 3
Step-by-step explanation:
In the picture attached, the problem is shown.
The solution to the system:
x + y ≥ 3
x + y ≤ 3
is the line x + y = 3
In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.
Purple square equals to ________?
Answer: its 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Because their are 2 squares
These triangles are NOT similar! Why not?
Use calculations AND words to explain.
Answer:
Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides
We can use ratios to show that the triangles are not similar
14:20 as a fraction is 14/20 as a decimal is 0.7
12:16 as a fraction is 12/16 as a decimal is 0.75
The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar
In right triangle RST, ∠T is a right angle, m∠S=41∘, and ST=8. What is the measurement of RT? Enter the correct value. If necessary, round your answer to two decimal places, like this: 42.53
Answer:
RT is 6.95 units long
Step-by-step explanation:
Use tan to find the unknown measurement
tan 41 = x/8 Simplify
0.8692 = x/8 Multiply both sides by 8
6.9536 = x
Use the linear combination method to solve this system of equations. What is the value of x? A. Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. B. Negative 1 C. 0 D. 1
Answer:
x=1 , y = -1
Step-by-step explanation:
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
Add the equations together
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
---------------------------
-2.4 y = 2.4
Divide by -2.4
y = -1
Now find x
2.4x +1.2y = 1.2
2.4x +1.2(-1) = 1.2
2.4x -1.2 = 1.2
Add 1.2 to each side
2.4x -1.2+1.2 = 1.2+1.2
2.4x = 2.4
Divide by 2.4
x = 1
Answer:
x=1
Step-by-step explanation:
Pls help summer homework :D C:
Answer:
C) None of the above
Step-by-step explanation:
Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
For more references on translation transformation, click;
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The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.
The answer choices are mean, median, Mode, range.
Answer:
median, mode, range, mean
Step-by-step explanation
the median is found by putting the data in order and selecting the middle value
the mode is the value that occurs the most often
the range is the difference between the greatest and least value
and the mean is the sum of all the values divided by the number of values
Answer:
The ✔ median is calculated by putting the data in order and selecting the middle value.
The ✔ mode is the data value that occurs the most in a set of data.
The ✔ range is the difference between the maximum and minimum values of a data set.
The ✔ mean is the sum of the data divided by the number of data values.
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is 4.4.
The median of the data is 4 .
The mode of the data is 2 .
The range of the data is 7 .
Step-by-step explanation:
Just took the test from E D G E N U I T Y....
hope this helps :P
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then 15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month can anybody tell me the answer
Answer:
Step-by-step explanation:Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
Read more on supplementary angles here:
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The triangle is an equilateral triangle
One side is A
The radius is A/2
What is the area of the center triangle?
Answer:
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2[/tex]
Step-by-step explanation:
First let's find the area of the triangle, using the formula:
[tex]Area\_triangle = side^2\sqrt{3}/4[/tex]
[tex]Area\_triangle = A^2\sqrt{3}/4[/tex]
Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):
[tex]Area\_sector = \pi*radius^2*60/360[/tex]
[tex]Area\_sector = \pi*(A/2)^2/6[/tex]
[tex]Area\_sector = \pi*A^2/24[/tex]
Now, To calculate the orange area in the center, we have:
[tex]Orange\ area = Area\_triangle - 3*Area\_sector[/tex]
[tex]Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8[/tex]
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8)[/tex]
[tex]Orange\ area = 0.0403A^2[/tex]
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
Find the value of y.
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
2+2=4 then what is 4+4 ps. just get some brainly points
Answer:
8
Step-by-step explanation:
because yes.
Why is the median listed at 55 when none of the data points is 55?
Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.
Step-by-step explanation:
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).