What is the median of this data set? {15, 14, 6, 10, 7, 15, 7, 8} Enter your answer in the box.
Answers
Answer: 9
Step-by-step explanation:
took the k12 quiz
Related Questions
A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?
Answers
Answer:
70 cm
Step-by-step explanation:
Answer:
70 cubic feet
Step-by-step explanation:
First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:
2*5=10
Next multiply 10 by the 7 feet tall. You can write this like:
10*7=70
70 cubic feet is the answer
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answers
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is x in x - (-11) = -20
Answers
x is -31 because you had to add -11 and -20
We feel, conceive or reason, laugh or weep;
Embrace fond woe, or cast our cares away:
It is the same!—For, be it joy or sorrow,
The path of its departure still is free:
Man’s yesterday may ne’er be like his morrow;
Nought may endure but Mutability.
–“Mutability,”
Percy Bysshe Shelley
Which sentence best describes the idea expressed in the final stanza?
People are weak and fearful.
Life is fleeting and always changing.
Life is pleasant and long-lasting.
People are in control of their emotions.
Answers
Answer:
Life is fleeting and always changing.
Step-by-step explanation:
The author mentions how we feel joy and sadness and so many other emotions. Our emotions are everchanging and it will continue to change from day to day.
Ben wants to buy a baseball cap that costs $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax?
Answers
What is the solution to this system of equations?
a - b + c = -6
b - c = 5
2a - 2c = 4
A) 2
B) -1
C) -3
D) 1
Answers
(-1;2;-3)
а, b, c
~~~~~~
What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...
Answers
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Multiple choice: which function has an amplitude of 5 and a period of π/3 ?
A) f(x)=5 cos 6x
B) f(x)=1/5 cos6x
C) f(x)=5 cos 2/3 x
D) f(x)=3 cos5x
Answers
The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.
The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.
Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.
Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.
Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.
Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.
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(question 15) Find the derivative of the function
using logarithmic differentiation.
Answers
Answer:
\(\textsf{A.} \quad (2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
Step-by-step explanation:
Replace f(x) with y in the given function:
\(y=(x+2)^x\)
Take natural logs of both sides of the equation:
\(\ln y=\ln (x+2)^x\)
\(\textsf{Apply the log power law to the right side of the equation:} \quad \ln a^n=n \ln a\)
\(\ln y=x\ln (x+2)\)
Differentiate using implicit differentiation.
Place d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}\ln y=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
First, use the chain rule to differentiate terms in y only.
In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
Now use the product rule to differentiate the terms in x (the right side of the equation).
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let}\; u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)
\(\textsf{Let}\; v=\ln(x+2) \implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{1}{x+2}\)
Therefore:
\(\begin{aligned}\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&=x\cdot \dfrac{1}{x+2}+\ln(x+2) \cdot 1\\\\\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&= \dfrac{x}{x+2}+\ln(x+2)\end{aligned}\)
Multiply both sides of the equation by y:
\(\dfrac{\text{d}y}{\text{d}x}&=y\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Substitute back in the expression for y:
\(\dfrac{\text{d}y}{\text{d}x}&=(x+2)^x\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Therefore, the differentiated function is:
\(f'(x)=(x+2)^x\left[\dfrac{x}{x+2}+\ln(x+2)\right]\)
\(f'(x)=(2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
write an equation in slope intercept form for the line that has a slope of 1/3 and passes through the point (3, -20)
Answers
y = 1/3x - 21 is the equation of the line in slope-intercept form.
What is a slope?
Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:
y - (-20) = 1/3(x - 3)
Simplifying this equation:
y + 20 = 1/3x - 1
Subtracting 20 from both sides:
y = 1/3x - 21
This is the equation of the line in slope-intercept form.
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Below is the graph of a polynomial function with real coefficients
(a) The function f is increasing over which intervals? Choose all that apply.
D(-0, -8)
O (-5,-2) O (-8, -2) O (-2,
2) (2,5)
O (5, 0 )
?
(b) The functionfhas local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
4
5
6
Please help if you can thank you
Answers
9514 1404 393
Answer:
(a) (-∞, -8), (-5, -2), (2, 5)
(b) -8, -2, 5
(c) negative
(d) 6
Step-by-step explanation:
(a) The function is increasing on intervals where the graph slopes upward left-to-right. Those are (-∞, -8), (-5, -2), and (2, 5).
__
(b) The local maxima are at the right end of each interval on which the function is increasing: -8, -2, 5.
__
(c) The function opens downward (∩), so has a negative leading coefficient.
__
(d) There are three local maxima and two local minima (left end of an increasing interval), so a total o 5 turning points. The degree of the polynomial is at least one more than this: 6.
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
Answers
the angle between the length of a rectangle and it's diagonal is 30⁰.if the length of the rectangle is 6cm.find the length of the diagonal.
Answers
Answer:
I can not help you do you have picture that i can use so i can give u the correct answer
Step-by-step explanation:
Answer:
ik....
Step-by-step explanation:
31-+=16
28+b=50
33+c=54
52-n+=24
Answers
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Am I right or if not what is it. :)
Answers
Answer:
Step-by-step explanation:
That is correct.
P=4s=4(12)=48in
A=s^2=12^2=144in^2
Answer:
You are correct
Step-by-step explanation:
Tiffany is buying a square-shaped tile to remodel her bathroom, we know that the tiles have a side length of 12 inches.
When it comes to perimeter, you add all side lengths together, for area, you multiply the side length twice.
Therefore :
P = 4L
L = 12
P = 4(12)
P = 48
A = L^2
A = 12^2
A = 144
An employee started a new job and must enroll in a new family health insurance plan. One of the options involves prescription drug coverage. The employee estimates that the entire family will fill 6 prescriptions per month, totaling $850. The monthly premium for the plan is $48, with 90% coverage for the first $450 in prescription costs, then 80% coverage for all prescription costs over $450. What is the total out-of-pocket expense for one month?
$173
$125
$773
$677
Answers
The total out-of-pocket expense for one month is $677. The correct option is D.
The first step is to calculate the amount of the prescription costs that will be covered by the insurance plan.
Since the family will fill 6 prescriptions per month and the total cost is $850, the average cost per prescription is $850/6 = $141.67 per prescription.
The insurance plan covers 90% of the first $450 in prescription costs, which is $450 * 0.9 = $405.
The remaining $141.67 - $405 = -$263.33 of the first prescription is not covered, since it is below the $450 threshold. This means that the family will have to pay the full cost of the first prescription, and the insurance will not contribute anything to it.
For the remaining 5 prescriptions, the insurance will cover 80% of the cost, since they are over the $450 threshold. The remaining 20% will be the family's responsibility.
The cost of the remaining 5 prescriptions is $141.67 x 5 = $708.35.
The insurance will cover 80% of this amount, which is $708.35 x 0.8 = $566.68.
The family will be responsible for the remaining 20% of the cost, which is $708.35 x 0.2 = $141.67.
Adding up all the costs, the total out-of-pocket expense for one month is:
$405 (first prescription) + $141.67 (20% of remaining prescription costs) + $48 (monthly premium) = $594.67
Therefore, the correct answer is option D: $677.
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Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% interest rate. How much interest will the account earn after just 6 months?
Answers
Answer: $1090
Step-by-step explanation:
Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:
= $205000 - $96000
= $109000
The interest that the account will earn after just 6 months will be:
Interest = PRT
= 109000 × 2% × 6/12
= 109000 × 0.02 × 0.5
= $1090
rolling a number greater than 0 but less than 7
Answers
Probability of rolling a number greater than 0 but less than 7 is 1.
Define probability?The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has also been introduced in mathematics.The probability formula is as follows:
Probability = Favourable outcomes / Total outcomes
Sample space of rolling a dice:
S = {1, 2, 3, 4, 5, 6}
Total outcomes = 6
Favourable outcomes: number greater than 0 but less than 7
Favourable outcomes: 6
Then, probability of rolling a number greater than 0 but less than 7
Probability = Favourable outcomes / Total outcomes
Probability = 6/6
Probability = 1
Thus, probability of rolling a number greater than 0 but less than 7 is 1.
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The complete question is-
A dice is being rolled. Find the probability of rolling a number greater than 0 but less than 7
The second drop down menu on each question includes options: decimal place(s) or significant figure(s)
Answers
Answers:
A. 1 Decimal Place 92.2B. 4 Decimal Places 1.8164Step-by-step explanation:
I solved the problem.
I'm always happy to help :)5. Fanny was solving the next equation when Melvin noticed mistakes she had made. Help Fanny find her mistakes before Melvin can point them out. Then show how Fanny should have solved this equation correctly.
Answers
We have the following:
\(undefined\)22424+72346*823456-4
Answers
Answer:
5.9573
Step-by-step explanation:
Answer:
59573770196 -- that is the answer
Step-by-step explanation:
Mark me as brainliest
9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm
Answers
Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.
Substituting the given values, we have:
V = (1/3)π(10 mm)^2(6 mm)
V = (1/3)π(100 mm^2)(6 mm)
V = (1/3)π(600 mm^3)
V = 200π mm^3
Using a calculator to approximate π to 3.14, we get:
V ≈ 628.32 mm^3
Therefore, the answer is O 628 mm³.
What is the x-coordinate of point A in a triangle with vertexes in A(-6,-10), B(-10,-9) and c(0,6) after underloing a translation of 14 units to
the right and 2 units down?
Answers
Answer:
X of pt A = 8
Step-by-step explanation:
moving the coordinates of A by 14 units to the right means we shift it's position on the x-axis by adding +14
X of A = -6 + 14 = 8
Y of A = -10 - 2 = -12
50 people went to a play.
3/5 of the people stayed to the end.
How many people left?
Answers
The number of people left out of 50 will be 20.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 50 people went to a play \(\dfrac{3}{5}\) of the people stayed to the end.
The number of people stays is calculated as:-
\(\rm\ N = 50 \times \dfrac{3}{5}\)
N = 10 x 3
N = 30
The number of people left is calculated as:-
⇒ 50 - 30
⇒20
Therefore, the number of people left out of 50 will be 20.
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Isabella is buying art supplies. The table shows the prices for the different items she buys.
Art Supplies
Item Price
Glass beads $0.28 per ounce
Paint brush $0.95
Poster board $0.75
Jar of paint $0.99
Part 1
Isabella spends $4.50 on poster boards. How many poster boards does she buy?
Isabella buys poster boards.
Part 2 out of 2
Isabella spends $7.80 on paint brushes and paint. How many of each item does she buy? Complete the explanation how you found your answer.
By using compatible numbers, you find a total of items that had a total cost of $7.80. Then you used guess and check to find that she buys paint brushes and jars of paint.
PLEASE ANSWER FAST NEED FOR QUIZ!
Answers
She had bought 6 cardboards and 8 paint brushes.
What is division?Division is a process used to split the number into equal parts.
Given is that Isabella is buying art supplies. The table shows the prices for the different items she buys.
Art Supplies Item Price
Glass beads $0.28 per ounce
Paint brush $0.95
Poster board $0.75
Jar of paint $0.99
{ 1 } -
She had buyed -
{n} = 4.50/0.75 = 6 cardboards
{ 2 } -
She had buyed -
{n} = 7.80/0.95 = 8 paint brushes
Therefore, she had bought 6 cardboards and 8 paint brushes.
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Can somone pls help me with this I have a C- in math and I really need help also a like show work on each one plsss
Answers
Answer:
1. \(\frac{3}{8}\)
2. \(\frac{1}{4}\)
3a. \(-\frac{1}{4}\)
3b. 3
3c. \(-\frac{4}{5}\)
4. \(m = \frac{y_1 - y_2}{x_1-x_2}\\\)
Step-by-step explanation:
1.
Rises 6 inches for every horizontal change of 16 inches
Slope = rise/run
Slope = 6/16
Slope = 3/8
2.
Rises 3 feet for every horizontal change of 12 feet
Slope = rise/run
Slope = 3/12
Slope = 1/4
3a.
\(m = \frac{y_1 - y_2}{x_1-x_2}\)
\(m = \frac{3-2}{-2-2}\)
\(m = \frac{1}{-4}\)
\(m = -\frac{1}{4}\)
3b.
\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)
\(m = \frac{-1 - 2}{-1-0}\)
\(m = \frac{-3}{-1}\)
\(m = 3\)
3c.
\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)
\(m = \frac{1 - (-3)}{-1-4}\\\)
\(m = \frac{4}{-5}\\\)
\(m = -\frac{4}{5}\)
4.
\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)
7. Sid has a board that is 8 5/6
feet long. He cuts a piece off of the board that
is 3 1/4 feet long. How long is the remaining piece of board
Answers
Answer:
5 7/12 feet left
Step-by-step explanation:
Step 1: 8 5/6 - 3 1/4
Step 2: = 67/12 (Put into proper fraction)
Step 3: = 5 7/12
Hope that helps :)
Answer:
5 7/12
Step-by-step explanation:
Given that the board is 8 5/6 feet long.
Cuts off 3 1/4 feet.
8 5/6- 3 1/4
Change fractions into improper fractions.
8 5/6=53/6
3 1/4=13/4
-------------------------------------------------------------
53/6x2/2=106/12
13/4x3/3=39/12
106/12-39/12=67/12
=5 7/12
Hope this helps :)
My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answers
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
Please see the attached
Answers
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
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Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options. Triangles A B R and A C R share side A R. Angles A B R and A C R are right angles. Sides A B and A C are congruent. Sides B R and C R are congruent. HL SAS SSS ASA AAS
Answers
Answer:
A. HL
B. SAS
C. SSS
May I have brainliest please? :)
The triangles can be proved congruent by HL, SSS, and SAS congruence, the correct option is A, B, and C.
What is a Right Angled Triangle?A right triangle is a triangle in which the measure of one of the angles is 90 degrees.
The triangle given is are triangles ABR and ACR
They share a common side AR
∠ABR = ∠ACR = 90 degree.
AB ≅ AC
BR ≅ CR
The triangles can be proved congruent by,
HL- Height Length congruence for a right-angle triangle
SSS - All the sides are equal and,
SAS - The two sides and the included angle is equal.
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