Graph y=0.5(2)^x on the domain -1 ≤ x ≤ 4
What is the range of this function?
The graph of the exponential function y = 0.5(2)^x on the domain -1 ≤ x ≤ 4 is given by the image presented at the end of the answer.
The range is given as follows:
0.25 ≤ y ≤ 8.
How to graph the exponential function?The standard definition of an exponential function is given as follows:
y = a(b)^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change, the value by which y is multiplied when x is increased by one.The parameters for the function in this problem are given as follows:
a = 0.5, b = 2.
The numeric values are given as follows:
x = -1, y = 0.25.x = 0, y = 0.5 -> x increases by one, y multiplies by 2.x = 1, y = 1.x = 2, y = 2.x = 3, y = 4.x = 4, y = 8.More can be learned about exponential functions at https://brainly.com/question/30113628
#SPJ1
sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest
Answer:
So Gary ran the longest
Step-by-step explanation:
Gary ran for 22 minutes + 7 minutes = 29 minutes.
Herbert ran for 29 minutes - 12 minutes = 17 minutes.
So Gary ran the longest, followed by Sandy and then Herbert.
Find the perimeter of the trapezoid round to the nearest tenth
The perimeter of the trapezoid is 49.4.
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
From the graph,
Height = 12 units
Parallel sides = 9 units and 15 units
Now,
Another side = x
Using Pythagorean theorem.
x² = 6² + 12²
x² = 36 + 144
x² = 180
x = √180
x = 13.42
Now,
The perimeter of the trapezoid.
= 12 + 13.42 + 9 + 15
= 49.42
= 49.4
Thus,
49.4 is the perimeter of the trapezoid.
Learn more about trapezium here:
https://brainly.com/question/22607187
#SPJ1
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
Answer:
Step-by-step explanation:
Statistical questions are questions that can be answered by collecting, analyzing, and summarizing numerical data. The data can then be used to make inferences, predictions, and draw conclusions.
In the context of statistical analysis, numerical data refers to data that can be measured and expressed as a number. For example, the number of hours someone spends practicing a musical instrument each week, or the number of books a student reads each month.
On the other hand, questions such as "Who is your favorite cartoon character?" cannot be answered with a number and therefore are not statistical questions. The answer to this type of question is qualitative or categorical data and can not be analyzed numerically.
It's important to note that while the questions that result in numerical data are often statistical questions, not all questions that result in numerical data are necessarily statistical questions. For example, the number of letters in someone's first name is a numerical piece of information, but it does not involve collecting and analyzing data to make inferences or draw conclusions.
Answer:2)How many hours do you practice your musical instrument each week.
Step-by-step explanation:
"How many hours do you practice your musical instrument each week?" is a statistical question that can result in numerical data.
This is a statistical question because it involves a numerical variable ("hours practiced per week"), which can be measured and quantified.
am a 4-digit number. My thousands digit is greater than 6, but less than 8 My hundreds digits is the highest even number. and ones The sum of my tens cligit a digit is equal to my hundreds digit. My tens digit is 6. Who am I?
Answer:
From the given information, we know that:
The thousands digit is greater than 6 and less than 8, so it must be 7.
The hundreds digit is the highest even number, so it must be 8.
The tens digit is 6.
The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.
Solving for the ones digit, we get:
ones digit = 8 - 6 = 2
Putting the digits together, we get the number: 7862.
So, the 4-digit number that satisfies all the given conditions is 7862.
Step-by-step explanation:
Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.
Explanation:Given the hints, we can infer that:
The thousands digit is greater than 6, but less than 8, so it can only be 7.The hundreds digit is the highest even number, which is 8.The tens digit was specifically said to be 6.The sum of the tens and ones digit is equal to the hundreds digit. The tens digit is 6 and the hundreds digit is 8, so the ones digit must be 2 because 6 + 2 = 8.Therefore, the 4-digit number is 7862.
Learn more about Number Determination here:https://brainly.com/question/2193783
#SPJ2
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire.
A) Write the equation of the line that represents your annual costs based on how many tires you make. Be sure to label you variables.
B) How many tires do you need to sell to break even if you sell them for $89 per tire.
In economics, business, and notably cost accounting, the break-even point (BEP) is the point at which total costs and total revenues are equal, or "even" and we need to sell a total of 1967 tires at the price of $89 to break even.
What is break even?
The break-even point (BEP) is the point at which total costs and total revenues are equal, or "even," in economics, business, and particularly cost accounting.
Although opportunity costs have been paid and capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In other words, all necessary expenses are covered, and neither a profit nor a loss is realized.
So, for the break-even:
= 175000/89
= 1,966.29
Rounding off: 1967
Therefore, we need to sell a total of 1967 tires at the price of $89 to break even.
Know more about the break-even here:
https://brainly.com/question/21137380
#SPJ1
Correct question:
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire. How many times do you need to sell to break even if you sell them for $89 per tire?
Terms and expressions of nth term
Answer:
see explanation
Step-by-step explanation:
(a)
there is a common difference between consecutive terms, that is
10 - 12 = 8 - 10 = 6 - 8 = 4 - 6 = - 2
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 12 and d = - 2 , then
[tex]a_{n}[/tex] = 12 - 2(n - 1) = 12 - 2n + 2 = 14 - 2n
(b)
similarly this is an arithmetic sequence
with a₁ = 25 and d = 20 - 25 = 15 - 20 = 10 - 15 = 5 - 10 = - 5
[tex]a_{n}[/tex] = 25 - 5(n - 1) = 25 - 5n + 5 = 30 - 5n
A dolphin is at the surface of the ocean.What is the dolphin’s elevation?
Answer:
0
Step-by-step explanation:
surface of ocean = sea level = elevation of zero
Determine three distinct points on the line 2 x+2 y=32. Enter your points as ordered pairs (x, y)(x,y) separated by commas.
Graph the line 2 x+2 y=32x by plotting two of the points you found on the line.
What is the slope of the line 2 x+2 y=32
What does the slope say about the relationship between the lengths and widths of rectangles with perimeter 32?
The distinct points are (1, 15), (2, 14) and (3, 13)
The slope implies that as the length increases by 1, the width decreases by 1
How to determine the distinct pointsFrom the question, we have the following parameters that can be used in our computation:
2x + 2y = 32
Divide by 2
So, we have the following representation
x + y = 16
Make y the subject
y = 16 - x
Set x = 1, 2 and 3
So, we have
y = 16 - 1 = 15
y = 16 - 2 = 14
y = 16 - 3 = 13
So, the points are (1, 15), (2, 14) and (3, 13)
The slope is calculated as
y = mx + c
Where m = slope
When compared, we have
slope = -1
This means that as x increases, y decreases
The graph is attached
Read more about linear equation at
https://brainly.com/question/2030026
#SPJ1
Help with question 6:
If the quotient of two functions f(x) and g(x) is a constant, then their derivatives are proportional to each other.
How are g.f' and f.g' related?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
If the quotient of two functions f(x) and g(x) is a constant k, meaning f(x)/g(x) = k for all x, then it follows that:
f(x) = k.g(x)
Taking the derivative of both sides with respect to x, we get:
f'(x) = k.g'(x) + g(x).d(k)/dx
Since the constant k is a constant and not a function of x, its derivative with respect to x is zero, so we can simplify the equation to:
f'(x) = k.g'(x)
Thus, we can see that if the quotient of two functions f(x) and g(x) is a constant, then their derivatives are proportional to each other, with the constant of proportionality equal to k.
Learn more about function on:
brainly.com/question/1415456
#SPJ1
question is in the picture
The formula of the area of the trapezium as subject to x is,
x = 2A/h - y.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The area of the trapezium,
A = (1/2)h(x + y)
To make x the subject of the equation:
2A/h = (x + y)
2A/h - y = x
x = 2A/h - y
Therefore, the formula is x = 2A/h - y.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ1
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 22.7 is the most accurate to use to show that they have plenty of money.
The mean of 20 is the most accurate to use to show that they need more money.
The median of 20 is the most accurate to use, since the data is skewed.
The mean of 22.7 is the most accurate to use, since the data is skewed.
The solution is Option D.
The median of the data is A = 20 and the mean of the data is M = 22.7
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M
Let the median of the data be represented as A
Now , the equation will be
The list of donations is represented as set D
Set D = { 10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55 }
Now , the mean M is = 10 + 10 + 10 + 10 + 15 + 15 + 15 + 19 + 20 + 20 + 20 + 25 + 25 + 25 + 30 + 30 + 55 + 55 / 18
The mean M = 409 / 18
On simplifying the equation , we get
The mean M = 22.722
Now , the median of the data is A = 20
Hence , the mean is 22.7
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ1
The median of 20 is the most accurate to use, since the data is skewed.
The most accurate measure of center to use in this case is the median of 20. This is because the data is skewed, with a few high-value donations (such as the two donations of 55 dollars) that pull the mean up. However, most of the donations are clustered around 10 to 20 dollars. As a result, the median, which is the middle value when the data is sorted in order, is a better representation of the "typical" donation amount.
In this case, the median is 20, which means that half of the donations were less than 20 dollars and half were more. This is a more accurate representation of the central tendency of the data than the mean of 22.7, which is influenced by the high-value donations. Therefore, the charity should use the median of 20 to accurately represent the typical donations received.
The angle y° and 49° are complementary,find the value y
sum of two complementary angle is 180•
[tex]180 - 49 = y = 131[/tex]
A. SSS
B. Neither
C. SAS
#
Copyright © 2003-2023 International Academy of Science. All Rights Reserved.
These triangles
are congruent by
the triangle
congruence
postulate [? ].
The congruence theorem that justifies the congruence of the two triangles is given as follows:
A. SSS.
What is the SSS congruence theorem?
The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.
In this problem, we have that:
The | and || sides are equivalent.The bisection belongs to both triangles.Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.
More can be learned about the SSS postulate at https://brainly.com/question/11671194
#SPJ1
Does anyone know the answers for daffynition decoder solving proportions
To solve proportions in math, you can use the following steps:
Write the proportion as a fraction.Cross-multiply the fractions (multiply the numerator of one fraction by the denominator of the other fraction).Solve for the variable by isolating it on one side of the equation.Check your answer by plugging it back into the original proportion.What is daffynition decoder solving proportions?
"Daffynition decoder" is a word puzzle game in which a code is employed to represent words, phrases, or sentences. To solve the puzzle, use the provided code to decode the words or phrases.
"Daffynition decoder" is a word puzzle game where a code is used to represent words, phrases or sentences. To solve the puzzle, you need to use the provided code to decode the words or phrases.
To solve proportions in math, you can use the following steps:
Write the proportion as a fraction.Cross-multiply the fractions (multiply the numerator of one fraction by the denominator of the other fraction).Solve for the variable by isolating it on one side of the equation.Check your answer by plugging it back into the original proportion.To know more about daffynition decoder visit,
https://brainly.com/question/25061015
#SPJ1
what mistake did he make help!!
Answer:
b
Step-by-step explanation:
Can't see the whole transaction because it is cutoff on the bottom but it looks like b
I need help with number 9, please.
8. The center and radius of the circle given the following equation:
(x + 4)^2 + (y - 2) ^ 2 = 5 is
c. center (-4, 2) radius: 59. The equation for the circle is
a. (x + 5)^2 + (y + 2)^2 = 910. The length of arc AB is
b. 4πHow to determine the equation the circleInformation given in the question
a circle whose equation is (x + 4)^2 + (y - 2) ^ 2 = 5
Equation of a circle is given as:
(x - h)² + (y - k)² = r²
Where
r = radius
h and k are coordinates of the center
x and y is the coordinate of point on the circumference
The equation of the circle is compared with the given equation and this shows that
center (-4, 2) radius: 5Using the graph the centers are (-5, -2) and the radius is 3, this will give equation (x + 5)² + (y + 2)² = 3²
If angle ACB = 60 deg and the radius is 12 cm, length of arc
= 60 / 360 * 2 * π * 12
= 4π
Learn more about equation of a circle at:
https://brainly.com/question/29324404
#SPJ1
How much interest will you earn if you deposit $2,700.00 into a simple interest account at 6.25% per annum for 3 years?
Answer:
Step-by-step explanation:
TEP 1: Find an interest by using the formula , I=P.i.t where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $2700, i = 6.25% and t = 3 years, so
I=506.25
STEP 2: Find an amount by using the formula . A= P+I
Since P = $2700 and I = $506.25 we have,
A=I+P
A=3206.25
PLEASE HELP WITH ALL PARTS ILL GIVE 80 POINTS ABC is graphed below.
22 Part A
What are the midpoints of AB and BC? Enter your answers as ordered
23. Part B
What is the length of AC? Provide your answer as a radical.
What is the slope of AC?
25, Part D
Darlene claims that the line segment connecting the midpoint
and is half the length of AC. Explain whether Darlene is correct or not
The midpoint and length of the sides of the triangle can be presented follows
22 Part A
Midpoint of [tex]\overline{AB}[/tex] = (3, 5)
Midpoint of [tex]\overline{BC}[/tex] = (6, 4)
23 Part B
Length of [tex]\overline{AC}[/tex] is 2·√(10)
Slope of [tex]\overline{AC}[/tex] is -1/3
25 Part D
According to the midsegment theorem, Darlene is correct
What is the midpoint of a line segment?The midpoint of a segment divides the segment into two same length segments.
22 Part A
The midpoint, ([tex]x_m[/tex], [tex]y_m[/tex]) between points (x₁, y₁), (x₂, y₂) of a segment can be found as follows;
[tex]x_m[/tex] = (x₁ + x₂)/2, [tex]y_m[/tex] = (y₁ + y₂)/2
The coordinates of the points in the triangle are; A(2, 2), B(4, 8), and C(8, 0)
The midpoint of [tex]\overline{AB}[/tex] = ((2 + 4)/2, (2 + 8)/2) = (3, 5)The midpoint of [tex]\overline{BC}[/tex] = ((4 + 8)/2, (8 + 0)/2) = (6, 4)23 Part B
The length of a segment with boundary points (x₁, y₁), (x₂, y₂) is the distance between the points (x₁, y₁), (x₂, y₂), which is found using the following distance formula for finding the distance, d, between points;
d = √((x₂ - x₁)² + (y₂ - y₁)²)The length of the segment [tex]\overline{AC}[/tex] is the distance between the points A(2, 2), and C(8, 0), which is found as follows;
Where;
(x₁, y₁) = (2, 2) and (x₂, y₂) = (8, 0), we get;
Length of [tex]\overline{AC}[/tex] = √((8 - 2)² + (0 - 2)²) = √(6² + (-2)²) = √(40)
Length of [tex]\overline{AC}[/tex] = √(40) = 2·√(10)The slope of a line, m = (y₂ - y₁)/(x₂ - x₁)
The slope of [tex]\overline{AC}[/tex] = (0 - 2)/(8 - 2) = -2/6 = -1/325 Part D
The length of the line segment connecting the midpoint can be found using the distance formula as follows;
The defining points on the line segment are (3, 5) and (6, 4)Therefore;
Length of the line segment connecting the midpoint = √((6 - 3)² + (4 - 5)²) = √(10)
Length of [tex]\overline{AC}[/tex] = 2·√(10)Therefore, Darlene is correctThe line segment connecting the midpoint is half the length of [tex]\overline{AC}[/tex], which is stated in the midsegment theorem
Learn more on the midsegment theorem here: https://brainly.com/question/24095988
#SPJ1
Si en dos horas y media un motociclista ha cubierto una distancia de 320 kilómetros. ¿Ha superado el límite de velocidad previsto, que es de 80 km/h?
La velocidad promedio del motociclista es 128km/h, entonces si, supera el limite de velocidad previsto.
¿Ha superado el límite de velocidad previsto, que es de 80 km/h?Sabemos que podemos definir la velocidad como el cociente entre distancia y tiempo, en este caso sabemos que:
distancia = 320km
tiempo = 2.5 h.
Entonces la velocidad será:
v = 320km/2.5 h = 128 km/h
Podemos ver que claramente, el motociclista supera el limite de velocidad previsto.
Aprende más sobre velocidad en:
https://brainly.com/question/4931057
#SPJ1
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to the nearest tenth of a foot.
The length of the ladder needed to reach the window to the nearest tenth of a foot is option (a). 17.0 feet.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given,
Length of the moat = 8 feet
Height of the window from the ground = 15 feet
Using the concept of right triangle, from the figure, length of the moat is the base and height of the window is the altitude.
Length of the ladder is the hypotenuse.
By Pythagoras theorem,
Length of the ladder = [tex]\sqrt{8^{2}+15^2 }[/tex] = [tex]\sqrt{289}[/tex] = 17
Hence the length of the ladder is 17.0 feet to the nearest tenth of a foot.
Learn more about Pythagoras Theorem here :
https://brainly.com/question/26689586
#SPJ9
Which of the following is not an example of a quadratic equation in real life?
A.The curve of hanging electrical wires
B.The path of a boat
C.The yellow arches of a big M
D.The path of a tennis ball
E.The path of a human cannonball
The yellow arches of a big M is not an example of a quadratic equation in real life.
What is quadratic equation ?
Quadratic equation can be defined as equation in which it is in the form of ax^2+bx+c = 0
where c is constant.
A quadratic equation is an equation in which the highest power of the variable is 2. In real life, many phenomena can be modeled by quadratic equations, such as the curve of hanging electrical wires, the path of a boat, the path of a tennis ball, and the path of a human cannonball.
However, the yellow arches of a big M is not a mathematical equation or a physical phenomenon that can be described by a quadratic equation. The arches are simply a design element of the McDonald's logo.
Therefore, The yellow arches of a big M is not an example of a quadratic equation in real life.
To learn more about Quadratic equation from given link.
https://brainly.com/question/30098550
#SPJ1
3m^2 + 4m + 7
4m^2 - 3m + 2
Which of the following is the sum of the above two polynomials?
Answer: The sum of the two polynomials 3m^2 + 4m + 7 and 4m^2 - 3m + 2 is 7m^2 + m + 9.
Step-by-step explanation:
find the equation of a line passing through two points (1,-1, 2) and (0,2-3).
Answer: The equation of the line passing through the points (1, -1, 2) and (0, 2, -3) is: y = 3x - 4.
Step-by-step explanation:
To find the equation of a line passing through two points, we can use the point-slope form of a line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) are the coordinates of any other point on the line.
Step 1: Find the slope of the line (m)
The slope of the line can be found using the two points:
m = (y2 - y1) / (x2 - x1)
Plug in the values of x1, x2, y1, and y2 from the two given points:
m = (2 - (-1)) / (0 - 1) = 3
Step 2: Write the equation using the point-slope form
Use the point-slope form and the slope from step 1, and one of the given points:
y - (-1) = 3(x - 1)
Step 3: Simplify the equation
y + 1 = 3x - 3
Step 4: Solve for y
y = 3x - 4
So, the equation of the line passing through the points (1, -1, 2) and (0, 2, -3) is y = 3x - 4.
Find the variance for the given sample data, Round your answer to one more decimal place than the original data 7 725 1 A. 11. 8 B. 7. 8 22 C. 6. 2 D. 7. 7
The variance of the given frequency distribution is 60.92, and the standard deviation is option (b) 7.80.
To calculate the variance of a frequency distribution, we need to first find the mean or average of the data. The formula for calculating the mean is as follows:
mean (μ) = Σfx / Σf
where Σfx represents the sum of the products of each value and its corresponding frequency, and Σf is the sum of all the frequencies.
Using the given data, we can calculate the mean as follows:
μ = (43 + 85 + 119 + 175 + 204 + 243 + 32*1) / (3+5+9+5+4+3+1)
μ = 13.5
Next, we need to calculate the deviation of each data point from the mean. To do this, we subtract the mean from each value and square the result. The formula for this is:
(x - μ)²
Using this formula, we get the following deviations for each data point:
(4 - 13.5)² = 81.00
(8 - 13.5)² = 30.25
(11 - 13.5)² = 6.25
(17 - 13.5)² = 12.25
(20 - 13.5)² = 42.25
(24 - 13.5)² = 110.25
(32 - 13.5)² = 333.22
Next, we need to multiply each deviation by its corresponding frequency, and then sum up the results. The formula for this is:
Σf(x - μ)²
Using the above deviations and frequencies, we can calculate the sum of squares as follows:
Σf(x - μ)² = 381.00 + 530.25 + 96.25 + 512.25 + 442.25 + 3110.25 + 1 x 333.22
Σf(x - μ)² = 1827.48
Finally, we can calculate the variance by dividing the sum of squares by the total number of observations (Σf). The formula for variance is:
σ² = Σf(x - μ)² / Σf
Using the above values, we can calculate the variance as follows:
σ² = 1827.48 / 30
σ² = 60.92
The standard deviation is the square root of the variance. Therefore:
σ = √(60.92)
σ = 7.80
Therefore, the correction option is (b).
To know more about variance here.
https://brainly.com/question/14116780
#SPJ4
Complete Question:
Find the variance and standard deviation of the following frequency distribution:
x 4 8 11 17 20 24 32
f 3 5 9 5 4 3 1
Math Essay on probability of the Ohio lottery
The Ohio Lottery has been based on the probability deriving with the correct derivation of the number with the highest chances.
What is probability?Probability has been defined as the mathematical description of learning the chances of an event to occur. The probability ranges from 0 to 1, with 1 being complete probability, and 0 means no chances of event to occur.
The Ohio lottery has been given as the game of lottery operated by the Ohio Lottery Commission. The purpose initiated by the Ohio Lottery has been to raise the funds for the education.
The lottery has been based on the probability of the common outcomes that delivers the formation of the numbers with the highest chances of getting resulted.
The games such as Bucket 5, Super Lotto, Ohio Lotto has been based on the probability of the drawing the numbers, and the correct probability won the lottery.
Learn more about probability, here:
https://brainly.com/question/30034780
#SPJ1
Your question is probably incomplete, and most probably the complete question is:
Create a Math Essay on probability of the Ohio lottery.
Please help me with the quwstion below
Answer:Steve
Step-by-step explanation:
Consider the problem: Minimize cx subject to Ax >= b, x >= 0. Suppose that one component of the vector b, say bi, is increased by one unit to bi + 1. a. What happens to the feasible region? b What happens to the optimal objective value?
A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.
B) If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.
In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.
Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.
Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.
To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.
To know more about vector here.
https://brainly.com/question/29740341
#SPJ4
4 x 9.5 using distributive method
Answer: 38
Step-by-step explanation:
4 x 9.5 can also be seen as 2 (2 x 4.75)
To solve this,
1) 2 x 2 = 4
2) 2 x 4.75 = 9.5
4 x 9.5 = 38.
Simple ways without distributive property is just 4 x 9.5 which is equal to 38.
If it is like 4(9.5) then the answer would be 4 * 9.5 which is 38. But if you were asking about this, 4(9 + 5) then these would be the steps.
So, distributive property is A(B + C) so A = 4 and B = 9 and C = 5.
So the setup would be 4(9 + 5).
And in order to solve this we have to distribute the 4 to 9 and 5. And after that, we remove the parenthesis. So, we get 36 + 20. And that would equal 56. So,
Answer = 56or
Answer = 38
Given below are descriptions of two lines.
Line 1: Goes through (-6,-3) and (0,5)
Line 2: Goes through (-6,-5) and (-3,-1)
The slope of Line 1 is m =
The slope of Line 2 is m =
Finally, which of the following is true?
O Line 1 is parallel to Line 2.
O Line 1 is perpendicular to Line 2
O Line 1 is neither parallel nor perpendicular to Line 2
Answer:
The slope of line 1 is -4/3.
The slope of line 2 is 2/3.
Line 1 is neither parallel nor perpendicular to line 2.
Step-by-step explanation:
firstly we find slope using two point formula .
The lines are said to be parallel when their slopes are equal.The lines are said to be perpendicular when the product of their slope is -1. Hence, line 1 is neither parallel nor perpendicular to line 2.
