The median number of laptop computers sold per month is 15, calculated by arranging the sales data in ascending order and averaging the two middle values in the even-numbered dataset.
Explanation:The median of laptop computers sold per month can be calculated by first arranging the given numbers in ascending order and then finding the middle value. If there is an even number of observations, the median is the average of the two middle numbers.
Arrange the sales numbers in ascending order: 5, 9, 14, 15, 15, 15, 15, 21, 21, 26, 29, 30.Since there are 12 months, we have an even number of observations, so we take the average of the 6th and 7th values which are both 15.The median number of laptop computers sold per month is 15.-0.00483 as a fraction
Answer:
I think this is right 483/100000
Sorry if i'm wrong
which statement best describes a line in slope intercept form when the coefficient of the x term is negative
Answer:
The angle made by line with positive x axis is more than 90°
Step-by-step explanation:
A line is represented in slope intercept form as
y=mx+c
Where m is called the slope of the line and c is called the y intercept .
Here by slope we means the tangent of the angle , the line makes with the positive x axis .
Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative
or
tan [tex]\theta[/tex] = negative
[tex]\theta[/tex] > 90
that means our line makes an obtuse angle that is more than 90° with the positive x axis.
Answer:
the line slants up
Step-by-step explanation:
Solve for x. 9x - 1 = -11 x = -1 x = -1 x = 1 x = 1
Answer:
x=-1
Step-by-step explanation:
Add by 1 from both sides of equation.
9x-1+1=-11+1
Simplify.
-11+1=-10
9x=-10
Divide by 9 from both sides of equation.
9x/9=-10/9
Simplify, to find the answer.
x=-10/9
x=-1 is the correct answer.
I hope this helps you, and have a wonderful day!
Answer:
x = -1.11111111111111(repeating)
Step-by-step explanation:
9x - 1 = -11
Add 1 to each side
9x - 1+1 = -11+1
9x = -10
Divide each side by 9
9x/9 = -10/9
x = -10/9
x = -1.11111111111111(repeating)
for f(x)=3x+1 and get g(x) =x2-6, find (f-g)(x)
Answer:
(f - g)(x) = (3x + 1) - (x2 - 6) = 3x + 1 - x2 + 6 = -x2 + 3x + 7
i hope this helps.
For this case we have the following functions:
[tex]f (x) = 3x + 1\\g (x) = x ^ 2-6[/tex]
We must find[tex](f-g) (x).[/tex]
By definition we have to:
[tex](f-g) (x) = f (x) -g (x)[/tex]
So:
[tex](f-g) (x) = 3x + 1- (x ^ 2-6)\\(f-g) (x) = 3x + 1-x ^ 2 + 6\\(f-g) (x) = - x ^ 2 + 3x + 6 + 1\\(f-g) (x) = - x ^ 2 + 3x + 7[/tex]
Answer:
[tex](f-g) (x) = - x ^ 2 + 3x + 7[/tex]
Which two numbers does 128 lie in between on a number line
Answer:
it's 11.3 and 11.4
Step-by-step explanation:
11.3 = 127.69
11.4 = 129.96
What is the slope-intercept equation of the line that includes (0,7) and (3,10)?
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7[/tex]
Answer: y= x + 7
Step-by-step explanation:
boom
Which right triangle prism has the greatest volume
Answer:
the second option (9,11,8)
Step-by-step explanation:
A line intersects the points (0,-4)and (1,2). What is the slope-intercept equation for this line?
Answer:
y = 6x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 2)
m = [tex]\frac{2+4}{1-0}[/tex] = 6
note the line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 6x - 4 ← in slope- intercept form
how many zeros does the function f(x)=4x3-x2+1 have
Answer:
3
Step-by-step explanation:
The Fundamental Theorem of Algebra states that a polynomial of degree n has n zeros. there may be complex zeros
4x³ - x² + 1 ← is a polynomial of degree 3, thus has 3 zeros
Which equation represents a line that passes through (2, –0.5) and has a slope of 3?
Answer:
y + 0.5 = 3(x - 2).
Step-by-step explanation:
We use the point-slope form of the equation which is y - y1 = m(x - x1).
Here m = 3 , x1 = 2 and y1 = -0.5, so the equation is:
y - (-0.5) = 3(x - 2)
y + 0.5 = 3(x - 2).
A scatter plot is made to model the amount of money left to pay on a car loan. The data used for the scatter plot are shown in the table:
Answer:
"the original amount of the loan"
Step-by-step explanation:
x value would be the time in months and y value would be the loan amount that is left.
The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.
That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.
The correct answer is third option -- "the original amount of the loan".
Answer:
The correct option is C.
Step-by-step explanation:
It is given that a scatter plot is made to model the amount of money left to pay on a car loan.
From the given table we can conclude that the number or months represented by variable x and the amount of money owed is represented by variable y.
At y-intercept the value of x is 0. It means the y-intercept represents the amount of money owed when the number of months is 0.
In other words, the y-intercept of the model represents the original amount of loan.
Therefore the correct option is C.
Solve this equation: 8p = -96
p=
8p = -96
Because that Moderator want me to explain this, so,
devid by 8 from both side:
8p / 8 = -96 / 8
p = -12
And that is the answer:
P = -12
What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? Assume that the cards are not replaced.
Answer:
The probability of drawing three queens is 1/425
Step-by-step explanation:
* lets talk about the deck cards
- The deck cards has 52 cards
- It has four symbols (heart , diamond , clubs , spades)
- Each symbol has 16 cards (from 1 to 10 and king , queen , princess)
* Lets solve the problem
- We will drawing three cards
- The cards are not replaced
- That means the total of the card will reduce by 1 after each drawing
- The cards will drawing are queens
- The first card drawn will be a queen
∵ The first card drawn is queen
∴ The number of cards for the second drawn is 52 - 1 = 51
∵ There are 4 queens in the deck cards we took one for the first choice
∴ The number of queen for the second choice is 4 - 1 = 3
∴ The probability of second choice is 3/51
- Now there are 2 queens and 50 cards after the second choice
∴ The number of the queen is 3 - 1 = 2
∴ The number of the deck cards is 51 - 1 = 50
∴ The probability of third choice is 2/50
- The probability of the three cards is the product of the two fractions
∴ The probability of drawing three queens = 3/51 × 2/50 = 6/2550
- Simplify the fraction
* The probability of drawing three queens = 1/425
19. A school has 24 teachers. Of those teachers,
18 bought lunch today. What percent
of the teachers bought lunch today?
Answer: 75%
Step-by-step explanation:
To get the answer we will divide the amount of teachers that bought lunch by the total amount of teachers
18/24 = 75%
Answer:
75
Step-by-step explanation:
if you put it in a fraction you will get 18 over 24 and to find a percent you divided by numerator by denominator so you divide 18 by 24 and get 0.75
What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.
4 in.
5 in.
9 in.
11 in.
Answer:
The third option, or 9, is the answer.
Step-by-step explanation:
The length of the apothem can be found using the pythagorean theorem. Since the length of each side of the hexagon is 10, the base of the triangle is 5, since 10/2=5. Plugging these two values into the pythagorean equation leaves 25+b^2=100.
B^2 = 75, so the length of the apothem is sqrt(75)
this is approximately 8.66, so the answer is 9.
The length of the apothem is 9 inch.
What is ApothemThe apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Using the pythagoras theorem.
As, the length of each side of the hexagon is 10.
so, the base of the triangle is 10/2=5.
Now using two values we get
25+b²=100.
B² = 75
Hence, so the length of the apothem is √75 = 8.66 = 9 (approx)
Learn more about Apothem here:
https://brainly.com/question/14963674
#SPJ2
Find the least common denominator for these
two rational expressions,
Answer:
(y + 2)²(y + 4)
Step-by-step explanation:
Factor the denominators of both fractions
y² + 4y + 4 = (y + 2)²
y² + 6y + 8 = (y + 2)(y + 4)
The least common denominator is (y + 2)²(y + 4)
Answer:
Step-by-step explanation:
y²+4y+4=(y+2)² =(y+2)(y+2)
y²+6y+8 = (y+2)(y+4)
the least common denominator for these
two rational expressions is : (y+2)²(y+4)
Please some one help me
Hello There!
To find the quotient of [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{8}[/tex],
we need to multiply by the reciprocal meaning that the fraction
[tex]\frac{3}{4}[/tex] stays the same but we flip the numerator and
denominator for our second fraction so it will end up being
[tex]\frac{8}{1}[/tex] which is the same thing as 8 so the second choice
is your answer.
The domain of the following relation: R: {(-3, 4), (5,0), (1, 5), (2, 8), (5, 10)} is (1 point)
{-3, 1, 2, 5)
{4, 0, 5, 8, 10)
{-3, 5, 1, 2,5}
No domain exists
Answer:
{-3,1,2,5}
Step-by-step explanation:
The domain is the input values
(-3,1,5,2,5)
We only list the 5 one time
{-3,1,2,5}
Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Answer:
∠1 = ∠4 and ∠3 = ∠5 ( alternate interior angle).
Step-by-step explanation:
Given : Triangle ABC with angle 1, 2, 3.
To find : Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Solution : We have given that triangle ABC with angle 1, 2, 3.
Here, line DE and AC are parallel and BA is traversal line.
∠1 = ∠4 ( alternate interior angle)
∠3 = ∠5 ( alternate interior angle)
∠4 + ∠2+ ∠5 = 180 ( angle formed on line)
∠1 + ∠2 + ∠3 = 180.
Therefore, ∠1 = ∠4 and ∠3 = ∠5 ( alternate interior angle).
The angles in a triangle add up to 180 degrees.
The text that completes the proof is: alternate interior angle
From the question, we can see that the missing statement is on the 4th line
Where:
[tex]\angle 1 \cong \angle 4[/tex] and [tex]\angle 3 \cong \angle 5[/tex]
From the figure of the triangle, we can see that:
[tex]\angle 1[/tex] and [tex]\angle 4[/tex] are alternate interior angles[tex]\angle 5[/tex] and [tex]\angle 3[/tex] are alternate interior anglesHence, the statement that completes the proof is: alternate interior angle
Read more about the proofs of angles in a triangle at:
https://brainly.com/question/20441035
If the radius of a cylinder is doubled and the height is tripled, what happens to the volume?
A)
It is multiplied by 6.
B)
It is multiplied by 12.
It is multiplied by 18.
D)
It is multiplied by 32
Answer:
B
Step-by-step explanation:
Original volume = pi * r^2 * h
New r = 2*r
New h = 3*h
New Volume = pi * (2r)^2 *3*h
New Volume = pi * 4r^2 * 3 *h
New Volume = 4*3 * pi * r^2 + h
Conclusion
The New Volume = 12* the original volume
Let f(x) = 5x-6 and g(x) = 3x-2. Find f(x)+g(x)
Answer:
8x-8
Step-by-step explanation:
Since you are adding the two functions: f(x)+g(x), substitute what they equal into this expression:
5x-6+3x-2
Combine like terms:
5x+3x-6-2
Simplifying gives:
8x-8
Hope this helps!
The point(0,2) Is the only solution to the system of linear equations that contains the equations Y = 1/2 X +2 and y =-3X +2. Choose the term that describes a set of equations
a)dependent equations
b) inconsistent equations
C)independent equations
D) cannot be determined
Answer:
independent equations
Choice C is correct
Step-by-step explanation:
The system of linear equations that contains the equations;
Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;
The point (0,2)
If a consistent system of equations has exactly one solution, it is said to be independent.
Final answer:
The correct term describing a set of equations where each equation represents a different line that intersects at only one point is 'independent equations'.
Explanation:
The point (0,2) is mentioned as the only solution to the system of linear equations with equations y = 1/2x + 2 and y = -3x + 2. Since both equations have only one point of intersection, this means that the graphs of the two equations are two different lines that intersect at exactly one point. This means the system is consistent and the equations are independent, as they form two different lines.
Therefore, the term that describes a set of equations where each equation represents a straight line and they intersect at exactly one point is independent equations.
What is the value of x if 9x^-1 - 2 = 25
Answer: [tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
You need to remember the Negative exponent rule:
[tex]a^{-n}=\frac{1}{a^n}[/tex]
Then, having the equation [tex]9x^{-1} - 2 = 25[/tex], you can rewrite it in this form:
[tex]\frac{9}{x} - 2 = 25[/tex]
Now add 2 to both sides of the equation:
[tex]\frac{9}{x} - 2+2 = 25+2\\\\\frac{9}{x}=27[/tex]
Multiply both sides of the equation by "x":
[tex](x)(\frac{9}{x})=27(x)\\\\9=27x[/tex]
And finally divide both sides of the equation by 27.
The value of "x" is:
[tex]x=\frac{9}{27}\\\\x=\frac{1}{3}[/tex]
Answer:
C on edg
Step-by-step explanation:
In a circle graph, a section that represents 80% of the graph has a central angle measure of what? 72° 146° 288° 360°
Answer:
288°
Step-by-step explanation:
80% of a circle is
80% of 360 degree
.80 *360
288
Answer:
C. 288°
Step-by-step explanation:
80% · 360° (convert 80% to a decimal)
= 0.8 · 360° (then multiply 0.8 to 360°)
= 288°
If f(x) = 4x + 7, which of the following is the inverse of f(x)?
O A. f-'(x) = 4x - 7
O B. f'() = *=4
C. FGx) = 7 - 4x
O D. F"(x) = *z?
For this case we must find the inverse of the following function:
[tex]f (x) = 4x + 7[/tex]
For it:
Replace f (x) with y:
[tex]y = 4x + 7[/tex]
We exchange the variables:
[tex]x = 4y + 7[/tex]
We solve for y:
We subtract 7 on both sides of the equation:
[tex]x-7 = 4y[/tex]
We divide between 4 on both sides of the equation:
[tex]y = \frac {x} {4} - \frac {7} {4}[/tex]
Finally, we change y by[tex]f ^ {- 1} (x)[/tex]:
[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]
ANswer:
[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]
the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).
The student asks which of the provided options is the inverse of the function f(x) = 4x + 7. To find the inverse function, we usually swap x and y and then solve for y. The steps to find the inverse are:
Replace f(x) with y: y = 4x + 7.Swap x and y: x = 4y + 7.Solve for y: y = (x - 7) / 4.Therefore, the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (sºt)(-7)?
Answer:
- 439Step-by-step explanation:
[tex]s(x)=2-x^2,\ t(x)=3x\\\\(s\circ t)(x)=s\bigg(t(x)\bigg)-\text{exchange x to t(x) = 3x:}\\\\(s\circ t)(x)=2-(3x)^2=2-3^2x^2=2-9x^2\\\\(s\circ t)(-7)-\text{put x = -7 to the equation:}\\\\(s\circ t)(-7)=2-9(-7)^2=2-9(49)=2-441=-439[/tex]
Answer:
-439
Step-by-step explanation:
Got it right on edge
Giving 20 points please get it right
Answer:
B and C option is the answer to this question
Step-by-step explanation:
What is the difference of the two polynomials?
(9x2 + 8x) - (2x2 + 3x)
Answer:
7x^2+5x
Step-by-step explanation:
Given
Polynomial 1: 9x^2+8x
Polynomial 2: 2x^2+3x
We have to find subtraction of both
So,
9x^2+8x - (2x^2+3x)
First of all the brackets will be eliminated by multilying the minus sign
9x^2+8x-2x^2-3x
The terms with same power of variable will be written together
9x^2-2x^2+8x-3x
=7x^2+5x ..
Answer:
7x^2 + 5x.
Step-by-step explanation:
I just took the test and got a 100%. :)
Which expression is equivalent to 4√24x6y/128x4y5? Assume x ≠ 0 and y > 0.
For this case we must simplify the given expression:
Rewriting we have:
[tex]\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =[/tex]
By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:
[tex]\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =[/tex]
We have to:
[tex]\sqrt [3] {27x ^ 3} = 3x[/tex]
Then, the expression is reduced to:
[tex]\frac {\sqrt [3] {5}} {3x}[/tex]
ANswer:
Option D
Answer:
its D jus trust
Step-by-step explanation:
Simplify (ignore my garbage camera quality ....)
Answer:
C. 3
Step-by-step explanation:
Given expression is:
[tex]({3^{\frac{1}{7}})^7[/tex]
We know that the rules of exponents are used to solve these kind of questions.
When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.
So,
[tex]=3^{(7*\frac{1}{7} )}[/tex]
The 7's will be cancelled out and remaining power will be 1
[tex]=3^1\\=3[/tex]
Hence, option C is correct ..
Answer:
The correct answer is option C
3
Step-by-step explanation:
Points to remember
Identities
(xᵃ)ᵇ = xᵃᵇ
(x¹/ᵃ)ᵇ = xᵃ/ᵇ
To find the correct answer
It is given that, (3¹/⁷)⁷
By using above identities we can write,
(3¹/⁷)⁷ = 3⁽¹/⁷ *⁷⁾
= 3¹
= 3
Therefore the simplified form of (3¹/⁷)⁷ = 3
The correct answer is option C
(3¹/⁷)⁷ = 3