Answer:
(2,5)
Step-by-step explanation:
Since it is reflected across the y-axis only the x point will change and vise-versa
In a recent year, the annual
salary of the Governor of New York was
$179,000. During the same year, the
annual salary of the Governor of
Tennessee was $94,000 less. Write and
solve an equation it to find the annual
salary of the Governor of Tennessee in
that year.
Answer:
$179,000 - $94,000 = annual salary for the Governor of Tennessee
what does it mean by median? i know that’s middle but like equal or? i need help solving
Answer:
Step-by-step explanation:
im pretty sure it basically means its perfectly bisected the middle of the bottom line if that make sense
so basically both sides of the line are equal so you can set them equal to each other
-2x = -3x - 2
x = -2
hope this helps <3
A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student,
she draws a slip of paper form the box. Each paper is equally likely to be drawn, and the papers are replaced in the box
after each draw.
What is the probability of calling on the same student twice in a row?
a. 0.0016
c.
0.56
b. 0.36
d.
0.04
Please select the best answer from the choices provided
the answer would be 0.56
Answer:
a: 0.0016
Step-by-step explanation:
Got it right on the test.
Hope this helps :)
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold
Multiple-Choice Exam A student takes a 20-question, multiple-choice exam with two choices for each question and guesses on
each question. Assume the variable is binomial.
Find the probability of guessing at least 10 out of 20 correctly. Round the answer to at least four decimal places.
P(guessing at least 10 out of 20 correctly)
27
0
E
The probability is 0.5881.
From the question, we have
n = 20
P(X\(\geq\)10) = 1-P(X<10)
P(X\(\geq\)10) = 1-P(X\(\leq\)9)
P(X\(\leq\)9) = P(X=0)+P(X=1)+..................+P(X=9)
=0.4119
P(X\(\geq\)10) = 1-P(X\(\leq\)9)
=1-0.4119
=0.5881
Probability:
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
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(05) දෙන ලද ආයතනයක කෙටිකාලීන පිරිවැය ශ්රිතය පහත දැක් වේ.
TC = 200+55p
TC = මුළු පිරිවැය
q = නිමැවුම් ප්රමාණය
(සැ.යු. සියලුම අගයන් දහස් ('000) වලින් දැක්වේ.]
1) ආයතනයේ ස්ථාවර පිරිවැය (Fixed Cost) ගණනය කරන්න.
2) මෙම ආයතනය භාණ්ඩ ඒකක 100 ක් නිපදවයි නම් මෙම ආයතනයේ සාමාන්ය විචල්ය පිරිවැය (Average Variable Cost) ගණනය කරන්න.
3) නිෂ්පාදනයේ ආන්තික පිරිවැය (Marginal Cost of Production) ගණනය කරන්න.
4) ආයතනයේ සාමාන්ය ස්ථාවර පිරිවැය (Average Fixed Cost) ගණනය කරන්න.
Answer:
??? can you rewrite it in English plz
Write the inverse of f(x) = 3x - 1
f -1(x) =
log 3 x + 1
log 3 ( x - 1)
log 3 x - 1
Answer:
see below
Step-by-step explanation:
we need to write the inverse of ,
\(\longrightarrow f(x) = 3x -1 \\\)
Substitute \( f(x)=y\) ,
\(\longrightarrow y = 3x-1 \\\)
Interchange x and y ,
\(\longrightarrow x = 3y -1 \\\)
now solve for y ,
\(\longrightarrow 3y = x + 1 \\\)
\(\longrightarrow y =\dfrac{x+1}{3} \\\)
replace \( y\) with \( f^{-1}(x)\) as ,
\(\longrightarrow \underline{\underline{ f^{-1}(x) =\dfrac{x+1}{3}}}\\\)
And we are done!
Answer:
\(f^{-1}(x)=\log_3(x)+1\)
Step-by-step explanation:
Given function:
\(f(x)=3^{x-1}\)
To find the inverse of the given function, swap y and x:
\(\implies x=3^{y-1}\)
Take the log base 3 of each side of the equation:
\(\implies \log_3(x)=\log_{3}3^{y-1}\)
\(\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax\)
\(\implies \log_3(x)=(y-1)\log_{3}3\)
\(\textsf{Apply log law}: \quad \log_aa=1\)
\(\implies \log_3(x)=(y-1)(1)\)
\(\implies \log_3(x)=y-1\)
Add 1 to both sides of the equation:
\(\implies \log_3(x)+1=y\)
\(\implies y=\log_3(x)+1\)
Replace y for f⁻¹(x):
\(\implies f^{-1}(x)=\log_3(x)+1\)
Dilations He said she said
Answer:
the answer should be Annie
The scale factor of the triangle ΔABC to the triangle ΔA'B'C' will be 2/3. Then Annyie says correctly.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
From the graph, the length of AC is given as,
AC = 9 - 3
AC = 6 units
From the graph, the length of A'C' is given as,
A'C' = 6 - 2
A'C' = 4 units
The scale factor is given as,
Scale factor = A'C' / AC
Scale factor = 4 / 6
Scale factor = 2/3
The scale factor of the triangle ΔABC to the triangle ΔA'B'C' will be 2/3. Then Annyie says correctly.
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Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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Find the value of k in the data set so that f (x) is a linear function.
The equation of a line in slope-intercept form is given by
\(y=mx+b\)so
step 1
Find out the slope m
we take two points from the table
(2,3) and (5,9)
\(\begin{gathered} m=\frac{9-3}{5-2} \\ \\ m=\frac{6}{3} \\ \\ m=2 \end{gathered}\)step 2
Find out the value of b
we have
m=2
point (2,3)
substitute and solve for b
\(\begin{gathered} 3=2(2)+b \\ 3=4+b \\ b=-1 \end{gathered}\)The linear equation is
\(f(x)=2x-1\)step 3
Find out the value of k
For x=-2
\(\begin{gathered} f(x)=2(-2)-1 \\ f(x)=-4-1 \\ f(x)=-5 \end{gathered}\)therefore
The value of k=-5In the ordered pair (6, -7), which number represents the y-coordinate?
6 or -7?
Therefore , the solution of the given problem of ordered pair comes out to be -7 is the solution.
What are ordered pairs exactly?Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.
Here,
In the ordered pair
=> (6, -7), the number -7 indicates the y-coordinate.
The x-coordinate is represented by number one in the sorted pair,
6, and the y-coordinate is represented by number two, -7.
So, -7 is the solution.
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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is the number -7 represents the y-coordinate.
What is Graph?In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.
Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.
There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.
In the ordered pair (6, -7), the number -7 represents the y-coordinate.
In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.
So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.
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Complete the following statement about the Empirical Rule.
According to the Empiricalâ Rule, if a distribution isâ bell-shaped, then approximately _______________ of the data will lie within 1 standard deviation of theâ mean; approximately ____________ 95% 99.7% 68% of the data will lie within 2 standard deviations of theâ mean; approximately ______________ 68% 95% 99.7% of the data will lie within 3 standard deviations of the mean.
Answer:
1. 68%
2. 95%
3. 99.7
Step-by-step explanation:
Standard deviation of mean will be 68%, 95%, and 99.73% respectively.
What is Empirical Rule?A statistical rule known as the empirical rule, which is also known as the three-sigma rule or the 68-95-99.7 rule, states that almost all observed data for a normal distribution will be within three standard deviations of the mean or average.
Given according to the empirical rule, 68% of observations will fall within the first standard deviation (µ ± σ), 95% will fall within the first two standard deviations (µ ± 2σ), and 99.7% will fall within the first three standard deviations(µ ± 3σ) .
Hence SD of mean will be 68%, 95%, and 99.73%
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what is the exspression for five less than n
Answer:
n-5
Step-by-step explanation:
Answer:
n - 5 is the expression
Find the equation of the line.
Use exact numbers.
Answer:
y = - 3x + 7
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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3
the line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 3x + 7 ← equation of line
The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
Writing the equation of the line in slope-intercept form.The linear graph represents the given parameter
For the graph, we have the points
(0, 7) and (25, 0)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 7
Using the point (2.5, 0) on y = mx + 7, we have
m(2.5) + 7 = 0
2.5m + 7 = 0
Evaluate
m = -2.8
So, we have
y = -2.8x + 7
Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
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the graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:
The equation for the cost of food-delivery service will be c = 30w.
What is equation?The statement of equality between two expressions consisting of variables and/or numbers.
Given that, a graph showing the cost, c, in dollars of using a food-delivery service for w weeks.
The slope of the equation is 30, 60/2 = 120/4 = 180/6 = 240/8 = 30
Hence, equation will be c = 30w
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Solve the equation using the distributive property and properties of equality.
1/2(x+6) = 18
What is the value of x?
O 6
O7 1/2
O 14 1/2
0 30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Expand brackets or use distributive law.
1/2(x) + 1/2(6) = 18
1/2x + 6/2 = 18
1/2x + 3 = 18
Subtract 3 on both sides.
1/2x + 3 - 3 = 18 - 3
1/2x = 15
Multiply both sides by 2.
(2)1/2x = (2)15
x = 30
Answer:
30
Step-by-step explanation:
A Z score is -3 and the sample's Mean is =30 and the Standard Deviation is =6. The raw score is __________.
Answer:
-9 I Think this is the answer????????
Step-by-step explanation:
If f(x) is a function which is continuous everywhere then we must have m= ?
The function is continuous only if m = 7.
How to find the value of m?If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2
That means that:
f(-2) = f(-2) (trivially)
Replacing the two pieces of the function we will get:
m*(-2) - 6 = (-2)^2 + 10*(-2) - 4
now we can solve that equation for m.
-2m - 6 = 4 -20 - 4
-2m = -20 + 6 = -14
m = -14/-2 = 7
m = 7
that is the value of m.
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HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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5r+r= what dose this equal
Answer:
Step-by-step explanation:
5
Find the value of x.
Answer:
180-77=a
a-3=4x
4x ÷ 4= x
Answer:
x=25
Step-by-step explanation:
aducent angles on striaght line add to 180
so (4x+3)+77=180
4x+3=103
4x=100
x=25
if my answer helps please mark as brainliest.
The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1
The solution of the system of linear equations, is (1.167, 3.667).
Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,
y = -2x+6............(i)
y = 4x - 1.......(ii)
Equating the equations since the LHS is same,
-2x+6 = 4x-1
6x = 7
x = 1.167
Put x = 1.16 to find the value of y,
y = 4(1.16)-1
y = 4.66-1
y = 3.667
Therefore, the solution of the system of linear equations, is (1.167, 3.667).
You can also find the solution using the graphical method,
Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]
Hence, the solution of the system of linear equations, is (1.167, 3.667).
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Which of the following represents the distributive property?
A. a = b then bea
B. a(b+c)=ab+ac
C. if a = band b-c, then a = c
D. If a = b then ac- be
The expression represents the distributive property from the list of options is (b) a(b + c) = ab + ac
Which of the expression represents the distributive property?The distributive property is a mathematical property that applies to multiplication and addition or subtraction.
It states that when you multiply a number (or variable) by a sum or difference inside parentheses, you can distribute the multiplication across the terms inside the parentheses.
This is represented by the following formula:
a(b + c) = ab + ac
This is represented by Option (B)
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What is the solution to
this system of linear
equations?
3
2
1
-4-3-2-1,0 1 2 3 4
Aώ Ν.
A
(1, -3)
B
(-3, 1)
Which of the scenarios below are considered seller-based discounts? options are in the picture
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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7x + 8y = 25 9x + 10y =35 elimination method please
\(7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\\)
\(\\\text{Hence}~ (x,y) = (15,-10)\)
The data recorded in following Table 1 shows the length of Medical checkup conducted by a Health & safety team, in meters,
20 25 33 47 39 41 21
39 33 32 38 41 37 49
59 60 31 28 48 36 60
b) Find the Mean and Median of the minutes.
c) Find Standard deviation also comment on the result.
d) Sketch Histogram and Frequency Polygon.
Answer:
yggnvfghg46777tuutyuyt6yffttgdfhurdvhu
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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anyone know what the area of triangle ABC is?
The area of triangle ABC is 6cm²
What is a triangle?A triangle is a three-sided polygon that consists of three edges and three vertices. It is also known as the trigon and has special names such as the hypotenuse (opposite the right angle) and legs (the other two sides). It can also refer to a percussion instrument consisting of a rod of steel bent into the form of a triangle open at one angle.
The area of the triangle is given as
Area= 1/2absinC
But the CosB = Adj/Hypo
Cos60 = Adj/12
1/2 = Adj/12
corss and multiply to have
2A = 12
Therefore Adj = 6
Therefore base = 6*2 = 12
Applying the formula we have Area= 1/2acsinB
Area = 1/2* 12*12*Cos60
Area = 12*1/2 =6cm²
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