The resolution was found by the 13, or 13.3% over the ensuing ten years, and The example regression function is an equation that depicts how the variables Y and X are related (s)
How do you estimate the population regression model?[tex]$\begin{aligned} & Y_i=f\left(X_i, \beta\right)+e_i \\ Y_i & =\text { dependent variable } \\ f & =\text { function } \\ X_i & =\text { independent variable } \\ \beta & =\text { unknown parameters } \\ e_i & =\text { error terms }\end{aligned}$[/tex]
Year : 1990 1993 1996 2000 2004 2008 2012
Population : 4000 3010 2400 1950 1625 1400 1220
It is said that the population fall follows a logarithmic model, where x=1 corresponds to the year 1990, x=2 to the year 1991, and so on.
Along with the population, a table describing a tiny mining town's dwindling population is provided. The term "logarithmic model" refers to a model where x is 1 and symbolizes the year 99 on x is 1991. As we search for a solution, let's employ the regression equation.
The progression is used to project the population in 1995, and I'm going to use a calculator to do it. This wasn't a but a 1, and then this is 2, and then this is 3, and then this is 4, and then this is 5, and then this is 6, and then this is 7, and then this is 8, and then this is 9. By the.13, or 13.3% over the following ten years, the solution was found.
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In a bag of candy, the ratio of Milky Ways to Skittles is 6: 11. There are 10 more Skittles than
Milky Way bars. How many pieces of candy are there total?
There are 12 m&m.
Because there are 6 skittles to every 4 m&m
There are 18 skittles.
So there must be 12 skittles
The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.
A stemplot titled Number of snacks has values 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 21, 22, 23, 25, 25, 28, 32, 38, 42, 45.
Which of the following statements best describes the distribution?
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
D
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
What is the probability distribution?
A probability distribution is a mathematical function that describes the probability of different outcomes in a random event or experiment. It is a function that assigns probabilities to each possible outcome of a random variable.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
This statement best describes the distribution of the number of snacks grabbed. The distribution is skewed right because the tail on the right side is longer than the tail on the left side, which indicates that there are more values on the higher end of the scale. The center of the distribution is around 18, and the range of the data is 12 to 45. The values of 38, 42, and 45 are higher than the majority of the data and could be considered outliers.
Hence, the statement which describes the distribution "The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45."
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Late one night a burglar got into one of the vaults in Fort Knox and he stole a big sack of gold coins. On his way out, he was stopped by one of the guards who saw him stealing the bag . Fortunately for him, the burglar was able to negotiate a deal with the guard and offered him half the money he had taken, plus an extra $2,000 thrown in. Just as he was walking away, thinking he had gotten away he was stopped by a second guard who took the same bribe: Half the money with an extra $2000 thrown in. Just as he was about to leave , he was stopped by a third guard who let him go only after receiving half of all the burglar had left with $ 2,000 extra thrown in. By the time he left he had mixed emotions. After all he did leave with $9,000 more than he had when he arrived and he was able to escape. But he thought of all the money he left behind. How much did he steal in the first place?
Answer:
We can start by using algebra to represent the information given in the problem. Let x be the amount of money the burglar stole initially.
According to the problem, when the burglar gave half of the money plus $2,000 to the first guard, he was left with x/2 + 2000.
When he gave the same amount to the second guard, he was left with (x/2 + 2000)/2 + 2000.
And when he gave the same amount to the third guard, he was left with ((x/2 + 2000)/2 + 2000)/2 + 2000.
But we know that he left with $9,000 more than he had when he arrived, So we can say:
((x/2 + 2000)/2 + 2000)/2 + 2000 = x + 9000
We can now solve for x:
x = (900022*2 - 6000)/3
x = 36000/3
x = 12000
So the burglar stole $12000 in the first place.
A young boy living in England was asked to fill up two
jugs with water. The boy took the two jugs to the watering
hole and pumped the water out to fill up the jugs. Each
jug holds 2.5 gallons of water when the boy heads back to
his house.
Examples of simultaneous linear equations
Examples of simultaneous linear equations are 8x-5y=21 and 2x+9y=-5
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
8x-5y=21 Equation:1
2x+9y=-5 Equation:2
Solving equation multiply equation 2 with 4 on both the sides
8x+36y=-20 Equation 3
Subtracting Equation:3 from Equation:1
8x-5y-(8x+36y)=21+20
-41y=41
y=-1
Putting value of 'y' in Equation:2 which will give the value of x
2x+9y=-5
2x-9=-5
2x=4
x=2
Thus, 8x-5y=21 and 2x+9y=-5 are simultaneous equations
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What is value of
X+8
Enter your answer in the box
2x-5
B
10
14
The value of x is 13 in the equation x+8=2x-5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x+8=2x-5
x plus eight equal to two times of x minus five.
Subtract 2x from both the sides
x+8-2x=-5
-x+8=-5
Subtract 8 on both sides
-x=-5-8
-x=-13
x=13
Hence, the value of x is 13 in the equation x+8=2x-5.
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quotient of 7x^2 divided by 3x-5/x+3?
The quotient can be calculated by dividing the dividend with the divisor. Quotient = Dividend ÷ Divisor.
When splitting polynomials, how do you determine the quotient?The quotient and remainder are then calculated as follows:
Divide the first term of the dividend by the divisor's highest term (the one with the largest power of x, which in this case is x)
Multiply the divisor by the result got just now (the first term of the eventual quotient).
According to the Quotient Rule, the derivative of a quotient equals the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square.
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-
Given f(x) = x² − 8x + 8, find ƒ(−5)
Cameron's soccer team has $168 to buy
uniforms that cost $20 each. How many uniforms can
his team buy? Will there be any money left over? Solve
this problem any way you choose.
Answer:
His team can buy 8 uniforms, and $8 will be left over.
Step-by-step explanation:
168(total amount of money) divided by 20(cost of each uniform) is 8 with a remainder of $8.
Jesse works for an engineering firm earning $54,000 per year. Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree. His new degree would take him 3 years to earn and cost a total of $30,000. After getting the degree, Jesse will make $75,000 per year.
Part time job want influence previous job.
What is cost?
A cost is the value of money that has been expended in the production or delivery of a good or service and is therefore no longer available for use in accounting, retail, research, or accounting. In business, the cost may be one of acquisition, in which case the cost is the sum of the money used to acquire it.
Given:
Jesse works for an engineering firm earning $54,000 per year.
Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree.
His new degree would take him 3 years to earn and cost a total of $30,000.
Let 53 - 65 he would get 12 x $54000 = $648000
Now, with part time job,
3 years to earn minus $30,000
64800 - 30000 = $618000 {total cost}
He still have 9 years to work .
he still get 75000 x 9 = $675000
Part time job want influence previous job.
Total = $618000 + $675000 = $1293
So its worth.
Hence, part time job want influence previous job.
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A moving walkway at the airport moves at a pace of 1.8 feet per second.
If you stand on the walkway as it moves, how long will it take to transport you 270 feet?
The time taken by the walkway to cover 270 feet is 150 seconds.
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.
Given the speed of the walkway = 1.8 feet per second
distance = 270 feet
speed is given by
speed = distance/time taken
time = distance/speed
substitute the values,
time taken = 270/1.8
time taken = 150 seconds
Hence it will take 150 seconds.
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How many pints of cooking oil are needed to have 14 quarts in all?
If you have 14 quarts of cooking oil, you will need 56 pints of cooking oil.
What is quantity?Quantity is a term used to describe the amount or magnitude of something. It can refer to physical items, such as the number of apples in a bag, or abstract concepts, such as the number of people living in a city. It is a measure of how much of something exists, and it is usually expressed in units such as gallons, liters, or pounds.
14 quarts is equal to 56 pints, so 56 pints of cooking oil are needed to have 14 quarts in total. To convert quarts to pints, multiply the number of quarts by 4. Therefore, if you have 14 quarts of cooking oil, you will need 56 pints of cooking oil.
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i need help with #3 please!!
A function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).
What do you meant by function ?Domain of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & x \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Range of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-14 \\ \text { Interval Notation: } & {[-14, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$\sqrt{x+18}-14: \quad$[/tex] X Intercepts: [tex]$(178,0), \mathrm{Y}$[/tex] Intercepts: [tex]$(0,3 \sqrt{2}-14)$[/tex]
Asymptotes of [tex]$\sqrt{x+18}-14$[/tex] : None
Extreme Points of [tex]$\sqrt{x+18}-14$[/tex] : Minimum (-18,-14) .
Domain of [tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of[tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$(x+14)^2-18: \quad$[/tex] X Intercepts: [tex]$(3 \sqrt{2}-14,0),(-3 \sqrt{2}-14,0)$[/tex], Y Intercepts: (0,178)
Vertex of [tex]$(x+14)^2-18: \quad$[/tex] Minimum (-14,-18)
In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
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How many solutions does -3(2x + 7) = -6x + 7 have?
Answer: No solution
Step-by-step explanation:
Expand:
-6x - 21 = -6x + 7
Add 6x to both sides
-21 = 7
No solution
A triangle has base 6 1/6 and height 7 1/2 find the area of the triangle
Answer: 185/8
Step-by-step explanation:
Area of triangle = Base x Height / 2
Convert numbers into improper fractions:
6 1/6 = 37/6
7 1/2 = 15/2
( 15/2*37/6 )/2 = 185/8
How many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches long and 12 inches wide
Answer:
6 inches
Step-by-step explanation:
The diameter of the largest circle inside a rectangle of size 18" x 12" has to be 12", the smaller of the two lengths
If the diameter is 12", the radius is half of that = 12"/2 = 6"
The largest circle is inside a square of side 12.
The radius is 6√2 inches (half of the diagonal)
Find the numbers whose sum is 9, if
three times the first number increased
by two times the second number
equals 22.
Therefore , the solution of the given problem of linear equation comes out to be the numbers are -2 and 14.
A linear equation definition.The equation y=mx+b is the basis of a linear regression model. The y-intercept is m, and the slope is B. Although y and x are different elements, the previous sentence is frequently alluded to as a "maths problem with two variables. In bivariate linear equations, there are only two variables. The solutions of the application domains of linear equations are always zero.
Here,
Let x and y be the first and second numbers, respectively. The information provided lets us know that:
=> 3x + 2y = 22
Additionally, we are aware that the two numbers add up to 9, therefore
=> x + y = 9
We can employ a strategy like substitution to discover the values for x and y. One equation with one variable can be solved, and the solution can then be used as an expression in the other equation.
The first equation for y can be solved as follows:
=> y = (22 - 3x)/2
After that, change y in the second equation to the following expression:
=> x + (22 - 3x)/2 = 9
When we simplify and find x, we obtain:
=> 2x + 22 = 18
=> x = -2
Knowing that x = -2, we may re-apply it to the initial equation to determine the y :
=> y =28/2 =14.
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p(x) = x2 – 1 and q (x) = 5 (x minus 1), which expression is equivalent to (p – q)(x)?
For the given expressions p(x) = x²–1, q (x) = 5x - 1,
The expression equivalent to (p-q)(x) is, x² -5x
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, p(x) = x²–1
Another expression, q (x) = 5x - 1
The equivalent expression = ?
So now, we can subtract both the expressions
⇒ x²–1 -(5x - 1)
⇒ x²–1-5x+1
⇒ x² -5x
Hence, the equivalent expression is x² -5x
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A rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches. What is the height of the second rectangle
The height of the second rectangle is 3 inches.
How to solve the side of a rectangle?The rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches.
The height of the second rectangle can be found as follows:
Two variables have a proportional relationship if the ratios of the variables are equivalent.
Hence, using the proportion,
let
x = height of the rectangle
24 / 12 = 6 / x
24x = 12 × 6
24x = 72
divide both sides by 24
x = 72 / 24
x = 3 inches
Therefore,
height of the second rectangle = 3 inches
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A state fair costs $25 to get in plus $ 4 per ticket to go on rides. What is the equation of this situation?
The equation of this situation is,
⇒ y = $25 + $4x
Where, y is total cost and x represent number of tickets for rides.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A state fair costs $25 to get in plus $ 4 per ticket to go on rides.
Now,
Let number of tickets = x
So, We can formulate;
The equation of this situation is,
⇒ y = $25 + $4x
Where, y is total cost and x represent number of tickets for rides.
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Please help I’m desperate
Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows.
U={f, g, h, p, q, r, x, y, z)
A = {f,g,r, x}
B={r, x, y, z}
C={g, h, q, r, z}
Find (BUA)'n C.
Write your answer in roster form or as Ø.
(BUA)' n C =
Answer:
Step-by-step explanation:
ANSWER:
(C ⋂ B) ⋃ A' = {p, q, x, y, z}
Help wit any will be appreciated
Answer:
z-20
4t+1
2(7x-4)
5(2d+10)
(1/7)(2y-(1/2))
Step-by-step explanation:
Hope this helps
<3 Todo
For the function machine at the left, try 5 more input(x) values other than 4 to see what output you get for y. Use the the table to help you test other values.
Did any of the input value get more than one possible output?
No there is no input value can give more than one output.
what is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y= 2x+ 3
Now, take x= 5
y= 2(5)+ 3
y= 13
and, take x= 6
y = 2(6)+ 3
y = 15
and, take x= 7
y= 2 x 7 +3
y= 17
and, take x= 8
y = 2x 8 + 3
y = 19
and, take x= 9
y= 2x 9 + 3
y = 21
No there is no input value can give more than one output, it is only possible in quadratic equation.
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PLEASE HELP im going to fail
Answer:
(3 m)/4 = 5/6
Step-by-step explanation:
Solve for m:
(3 m)/4 = 5/6
Multiply both sides of (3 m)/4 = 5/6 by 4/3:
(4×3 m)/(3×4) = 4/3×5/6
4/3×3/4 = (4×3)/(3×4):
(4×3)/(3×4) m = 4/3×5/6
4/3×5/6 = (4×5)/(3×6):
(4×3 m)/(3×4) = (4×5)/(3×6)
(4×3 m)/(3×4) = (3×4)/(3×4)×m = m:
m = (4×5)/(3×6)
The gcd of 4 and 6 is 2, so (4×5)/(3×6) = ((2×2) 5)/(3 (2×3)) = 2/2×(2×5)/(3×3) = (2×5)/(3×3):
m = (2×5)/(3×3)
3×3 = 9:
m = (2×5)/9
2×5 = 10:
Answer: m = 10/9
Answer:
(3 m)/4 = 5/6
Step-by-step explanation:
A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 8 feet by 5 feet. The two large triangular faces have a height of 6.3 feet. The two small triangular faces have a height of 7 feet.
How much glass is needed to cover the entire pyramid?
250.8 ft2
167.6 ft2
125.4 ft2
62.7 ft2
Answer: 125.4ft
Step-by-step explanation:
Which statement is true
Which expression is equivalent to 3(5r+23s+3t)+9s?
Responses
15r+18s+9t15 r plus 18 s plus 9 t
15r+29s+9t15 r plus 29 s plus 9 t
15r+11s+9t15 r plus 11 s plus 9 t
15r+2s+9t
The required expression equivalent to the given expression is 15r + 78s + 9t.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 3(5r+23s+3t)+9s
Simplify,
= 15r + 69s + 9t + 9s
= 15r + 78s + 9t
Thus, the required expression equivalent to the given expression is 15r + 78s + 9t.
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Point A is the original point before rotating. Which point represents A′ after A(4, 1) is rotated 90° counterclockwise: B, C, D, E, F, G, or H?
Answer:
Point G
Step-by-step explanation:
The mapping rule for a 90° counterclockwise rotation is:
(x, y) → (-y, x)
Therefore, if A = (4, 1):
A' = (-1, 4)The point that represents A' after A(4, 1) is rotated 90° counterclockwise is:
Point GIn a shipment of computers from a manufacturer, the probability that a computer is defective is 1/50. If a computer buyer for a store selects 2 computers from a shipment, what is the probability that both computers are defective? 1/50 1/100 1/250 1/2500
Answer:
1/125
Step-by-step explanation:
multiply 1/50 by 1/50
2/2500
simplify
1/125
NEED HELP MATH RN IN CLASS
The equation that can be represented by the fraction expression ? * 1/8 = 3 is; How many 1/8's are in 3.
How to solve fraction word problems?In word problems on fraction, what we will seek to do is to solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example, 3/7 of a number is 84. Find the number.
Solution:
3/7 of a number = 84
Number = 84 × 7/3
What we have done is to multiply 84 by the reciprocal of 3/7
In this question, we want to know the equation that can be represented by; ? * 1/8 = 3
To get the question mark, we will just divide 3 by 1/8.
This expressed in word problem is;
How many 1/8's are in 3?
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