Using Excel, the probability that Burt allowed a total of 3 or more walks and hits in a randomly selected inning can be calculated to be approximately 0.617, or 61.7%.
To find the probability, we can utilize the cumulative distribution function (CDF) of the Poisson distribution, as the number of walks and hits in an inning can be modeled as a Poisson random variable. The formula for the Poisson distribution is:
P(X = k) = (e^(-λ) * λ^k) / k!
Where X is the number of walks and hits in an inning, λ is the expected number of walks and hits per inning (WHIP), k is the desired number of walks and hits, and ! represents the factorial function.
In this case, Burt's WHIP is 1.315, which implies that the expected number of walks and hits per inning is 1.315. We want to calculate the probability of observing 3 or more walks and hits, so we sum the individual probabilities for X = 3, X = 4, X = 5, and so on, up to infinity.
Using Excel, we can set up a column with the values of k (3, 4, 5, ...) and calculate the corresponding probabilities using the Poisson distribution formula. By summing these probabilities, we find that the probability of Burt allowing 3 or more walks and hits in a randomly selected inning is approximately 0.617, or 61.7%.
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What are alternative forms of genes found on chromosomes called?
Allele are alternative forms of genes found on chromosomes. Humans are known to be diploid organisms because they have two alleles at each genetic locus, with one allele inherited from each parent.
What are chromosomes?Chromosomes are long molecules of DNA that contain some or all of an organism's genetic material. In most chromosomes, very long, thin strands of DNA are coated with packaging proteins. In eukaryotic cells, the histones are the most important of all proteins. These proteins, with the help of chaperone proteins, bind and condense DNA molecules to maintain their integrity. These chromosomes have complex three-dimensional structures that play important roles in transcriptional regulation.
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Somebody help please I don’t understand!!
A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator.
How to calculate unit rate?A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Examples of How to Find Unit Rate or Unit Price
We want to know the price per apple unit so we set up a ratio with the number of apples in the denominator. The total price goes in the numerator. So the fraction is 1.80/3.Complete the division: 1.80 ÷ 3 = .60. You can conclude that the per apple price unit rate is $0.60/1. Ryan paid a unit price of $0.60 per apple (60 cents per 1 apple = .60/1).We want to know the number of mugs made per hour unit so we set up a ratio with hours in the denominator. The total number of mugs made per day goes in the numerator. So the fraction is 176/8.Complete the division: 176 ÷ 8 = 22. You can conclude that the per hour mug-making unit rate is 22/1. The pottery store makes 22 mugs per hour (22 mugs per 1 hour = 22/1).To learn more about unit rate refers to;
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What would you make the size of the hypotenuse of a right tria gle to make if its other two size measure 2 and 5 cm?
a. 7 squared.
b. 29 squared.
C. 29.
d. 29 squared by 3.
Answer: To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
So, if the legs of the right triangle measure 2 cm and 5 cm, the hypotenuse c can be calculated as follows:
c² = a² + b²
c² = 2² + 5²
c² = 4 + 25
c² = 29
Therefore, the length of the hypotenuse c is the square root of 29.
c = √29
The answer is c = √29 which is the only one that is not squared, So the answer is (C) 29.
Step-by-step explanation:
What is the solution to the inequality |2x + 3| < 7?
4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2
The solution of the given inequality is x < –5 or x > 2
What are Inequality equations:Equations are not always balanced on both sides using an "equal to" symbol in mathematics. Sometimes it can be about a "not equal to" relationship, meaning that something is greater than or lower than another.
In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
Here we have
|2x + 3| < 7
=> 2x + 3 > 7 or 2x + 3 < - 7
Take 2x + 3 > 7
Add - 3 on both sides
=> 2x + 3 - 3 > 7 - 3
=> 2x > 4
Divide by 2 into both sides
=> 2x/2 > 4/2
=> x > 2
Take 2x + 3 < - 7
Add - 3 on both sides
=> 2x + 3 - 3 < - 7 - 3
=> 2x < -10
Divide by 2 into both sides
=> 2x/2 < -10/2
=> x < -5
Therefore,
The solution of the given inequality is x < –5 or x > 2
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Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
The equivalent expressions are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c. Options B and C
What is an algebraic expression?An algebraic expression is simply described as an expression consisting of variables, coefficients, terms, constants, and factors.
Algebraic expressions are also made up of mathematical operations, such as;
BracketParenthesesDivisionMultiplicationSubtractionAddition, etcGiven the expression;
2(b+3c)
expand the bracket
2(b)+ 2(3c)
2b + 2×3×c
Multiply the values, we get;
= 2b +6c
It can also be written as the sum of b+3c as (b+3c)+(b+3c)
Hence, the expressions are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c
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The complete question:
Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
Choose all answers that apply:
A 3(b+2c)3(b+2c)3, left parenthesis, b, plus, 2, c, right parenthesis
B (b+3c)+(b+3c)(b+3c)+(b+3c)left parenthesis, b, plus, 3, c, right parenthesis, plus, left parenthesis, b, plus, 3, c, right parenthesis
C 2(b)+2(3c)2(b)+2(3c)2,
A young umo wretler decided to go on a pecial high-protein diet to gain weight rapidly. After
11
1111 month, he weighed
140
140140 kilogram. He gained weight at a rate of
5. 5
5. 55, point, 5 kilogram per month. Let
y
yy repreent the umo wretler' weight (in kilogram) after
x
xx month. Complete the equation for the relationhip between the weight and number of month
The linear equation for the relationship between the weight and number of months is y = 5.55x + 78.95.
First-order equations include linear equations. In the coordinate system, linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., just one variable). Multiple variables may be present in a linear equation. Linear equations with two variables, for example, are used when a linear equation contains two variables.
We know that the sumo wrestler's weight is 140 kilograms after 11 months and he gained weight at a rate of 5.55 kilograms per month.
The equation for the relationship between the weight and number of months can be represented as:
y = 5.55x + b
Where y is the sumo wrestler's weight (in kilogram) after x month, 5.55 is the rate at which he gained weight per month, x is the number of months and b is the y-intercept.
To find the value of b, we can use the point (11, 140) which represents that after 11 months the sumo wrestler's weight is 140 kg, and substitute it into the equation:
y = 5.55x + b
140 = 5.55(11) + b
Solving for b:
b = 140 - (5.55 * 11)
b = 140 - 61.05
b = 78.95
So the complete equation is:
y = 5.55x + 78.95
Where y is the sumo wrestler's weight (in kilogram) after x months.
Therefore, The linear equation for the relationship between the weight and number of months is y = 5.55x + 78.95.
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(8.) A person must be at least 52 inches tall in order to ride the power train ride at Cedar Point Ohio. Write an inequality statement that describes the required height if x is a persons height.
Answer: x [tex]\leq[/tex] 52 inches.
Step-by-step explanation:
If AY= 7cm , what is the length of BY?
Answer:
BY = 9.90 cm
Step-by-step explanation:
from the figure the triangle has a right angle and one of 45°, therefore it is a right isosceles triangle, 2 equal sides and 2 equal angles, we solve with Pythagoras
AY = 7cm
AB = 7cm
BY = ?
BY = [tex]\sqrt{7^2+7^2}[/tex]
BY = [tex]\sqrt{98}[/tex]
BY = 9.89cm (round to 9.90cm)
MODELING WITH MATHEMATICS: The function f(t)=-16t^2+10 models the height (in feet) of an object t seconds after it is dropped from a height of 10 feet on Earth. The same object dropped from the same height on the moon is modeled by g(t)=-8/3t^2+10.
Describe the transformation of the graph of f to obtain g.
The graph of g is a horizontal stretch by a factor of (blank) of the graph of f. Round your answer to the nearest hundredth.
From what height must the object be dropped on the moon so it hits the ground at the same time as on Earth? Round your answer to the nearest hundredth.
The object must be dropped from a height of (blank) feet.
The transformation of the graph of f to obtain g is described as follows:
The graph of g is a vertical compression of the graph of f by a factor of 6 units.
The object must be dropped at a height of 1.66 feet from the moon so it hits the ground at the same time as on Earth,
What is the transformation?The functions in the context of this problem are given as follows:
f(t) = -16t² + 10.g(t) = -8/3t² + 10.The multiplier that was applied to function f(t) to obtain function g(t) is given as follows:
-16x = -8/3
16x = 8/3.
x = 8/48
x = 1/6.
The leading coefficient was divided by 6, meaning that the graph of g is a vertical compression of the graph of f by a factor of 6 units.
When does the object hits the ground?The object hits the ground when the output of the quadratic function assumes a value of zero.
For the Earth, we have that the time to hit the ground is obtained as follows:
-16t² + 10 = 0
16t² = 10
t² = 5/8
[tex]t = \sqrt{\frac{5}{8}}[/tex]
t = 0.79 seconds.
For the Moon, the function is given as follows:
g(t) = -8/3t² + h.
In which h is the initial height.
We want that g(t) = 0 when t = 0.79, hence the initial height is obtained as follows:
0 = -8/3(0.79)² + h
h = 8/3(0.79)²
h = 1.66 feet.
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What is substitution simple?
Substitution refers to the process of replacing one group with another. We can say that it refers to replacing a variable with another given value.
For example, given that x = 17, we can substitute the value of 17 in for x and evaluate the obtained expression to get the value of x.
We can name the expression: F (x) = 17 + 3x - 4.
here , let's say x = 2
then , F (x) = 17 + 6 + 2 = 25
The algebraic method which is used for solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation, as the name implies.
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An online video game rental site has a Frequent Gamers Plan. It costs $30 to join and each video game rental for members costs $2. Non-members pay a rental fee of $3.50 per rental. For what number of rentals would both plans cost the same amount?
The number of rentals would be 20 so that both plans cost the same amount.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
It costs $30 to join and each video game rental for members costs $2.
Non-members pay a rental fee of $3.50 per rental.
let the number of rentals they both pay same amount be x.
So, 30 + 2x = 3.5x
30 = 3.5x - 2x
30 = 1.5x
x= 30/1.5
x = 20
Hence, number of rentals should be 20.
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What is the difference between absolute difference and difference?
The separation of two numerical values, regardless of whether they are positive or negative. Thus, the absolute difference offers little insight into the relative magnitude.
What is absolute difference?The separation of two numerical values, regardless of whether they are positive or negative. Thus, the absolute difference offers little insight into the relative magnitude. As an illustration, the absolute difference between 11 and 20 is 9, and the difference between 13 and 4 is 9. The difference in values of two variables, particularly two random variables, when taken without respect to the sign of the difference. |x-y|, the absolute value of their difference, represents the absolute difference between two real numbers, x and y. The distance between the locations that correspond to x and y on a real line is described. A statistical measure of statistical dispersion known as the mean absolute difference (univariate) is the average absolute difference of two independent values taken from a probability distribution.Mathematical difference is the outcome of one of the key operations, which is the subtraction of two numbers. It reveals the margin of difference between two numbers. In math, the goal of calculating the difference is to determine how many numbers are present between the two supplied numbers.To learn more about absolute difference refer to:
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Given the function h(x)=-x²+4x+12, determine the average rate of change of the function over the interval -1≤x≤8
The average rate of change of the function over the interval -1≤x≤8 is -3.22.
How do you determine the average rate?The average rate of change of a function over an interval is given by the formula (f(b) - f(a)) / (b - a) where f(x) is the function, a is the starting point of the interval, and b is the ending point of the interval.
In this case, the function is h(x) = -x² + 4x + 12, the interval is -1≤x≤8.
Plugging in the values we have:
Average rate of change = (h(8) - h(-1)) / (8 - (-1)) = (h(8) - h(-1)) / 9
h(8) = -8² + 4(8) + 12 = -64 + 32 + 12 = -20
h(-1) = -1² + 4(-1) + 12 = 1 - 4 + 12 = 9
So the average rate of change = (-20 - 9) / 9 = -29/9 = -3.22
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I -6 -8 I divided by 2 x -6 (9-7)^3
Answer:
Step-by-step explanation:
−6−8÷2x−6(9−7)
3
Divide 8 by 2 to get 4.
−6−4x−6(9−7)
3
Subtract 7 from 9 to get 2.
−6−4x−6×2
3
Calculate 2 to the power of 3 and get 8.
−6−4x−6×8
Multiply 6 and 8 to get 48.
−6−4x−48
Subtract 48 from −6 to get −54.
−54−4x
Lorene says summer is 1/4 of the year minus the summer is 3/12 of the year who is correct
Both statement by Lorene and Maria is correct because it has a common factor is "1/4".
What type of fraction are 1/4 and 3/12?Both fraction are called proper fraction. Basically, a fractions represent the parts of a whole or collection of objects.
Under fraction, proper fraction is one in which the numerator is less than the denominator. It is in contrast to improper fraction, that numerator equals or exceeds the denominator. Proper fractions are 3/4, 2/11, and 7/19, while improper fractions are 5/2, 8/5, and 12/11.
The statements of Laurie and Maria can be compared as follows:
In the fraction 1/4, the denominator and numerator have no common factors.In the fraction 3/12, the denominator and numerator have a common factor as 3.It can be written as,
3/12 = (3 ÷ 3)/(12 ÷ 3)
= 1/4
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what is 10% of 70% and what is 25% of 160%
PLEASE HELP!!
I NEED TO GET MY GRADES UP
Samantha earned $700 thi ummer. If he depoit the money in a aving account, how many year will it take her to earn $196 in interet at a imple annual rate of 4%?
A. 6
B. 7
C. 8
D. 9
Answer:
B. 7
Step-by-step explanation:
[tex]I=Prt \\ \\ 196=700(0.04)t \\ \\ 196=28t \\ \\ t=7[/tex]
How do you find the roots of a factor?
By setting each factor to 0, you can get the roots, or solutions, of the polynomial equation P(x) = 0 by figuring out what x is. Factor the polynomial equation to find the solution.
What are polynomials?Constants and indeterminates are parts of polynomial algebraic expressions.
One could consider polynomials to be a subset of mathematics.
They are used to express numbers in almost all areas of mathematics, and calculus is one of those areas where they are particularly important.
A polynomial is a specific sort of expression.
An expression is a mathematical statement that does not contain the equals sign (=). Let's look at the following descriptions of polynomials' definition and applications.
All the exponents of an algebraic expression called a polynomial must be whole numbers.
Any polynomial must have non-negative integer variable exponents. We cannot divide a polynomial by a variable even though it contains variables and constants.
Hence, By setting each factor to 0, you can get the roots, or solutions, of the polynomial equation P(x) = 0 by figuring out what x is. Factor the polynomial equation to find the solution.
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What is 2798 in Roman numerals
Answer: MMDCCLXXXIX
Step-by-step explanation:
Answer:
Step-by-step explanation:
2000=MM, 700=DCC, 90=XC, 8=VIIILIt cost Sophia $530 to make wind chimes. How many
chimes must she sell at $12 apiece to make a profit?
Answer:
c = number of chimes
12c = amount gotten from the sale of the chimes.
To make a profit what she gets from the sales must be greater than her expenses.
12c > 530
c > 44.166666
She must sell each chime for more than 44 an one-sixth cent.
Step-by-step explanation:
Solve for x
I need help
The value of x, in the triangle shown is: C. 5.25.
How to Solve for x in Similar Triangle?In the image given, the triangles shown are similar to each other, which means that their corresponding side lengths are proportional to each other.
Therefore, we would have the following proportion:
x / 2 = 16.8 / 6.4
Cross multiply:
6.4 * x = 16.8 * 2
6.4x = 33.6
6.4x/6.4 = 33.6/6.4
x = 5.25
The correct value of x is: C. 5.25.
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Decribe the ditribution of the following data et. 388,217,317,361,350,298,400,147,254,101,336,387,14,256
The mean of the distribution of the given data set is equal to 273.33.
As given in the question,
Given distribution of the data set is :
388, 217, 317, 361, 350, 298, 400, 147, 254, 101, 336, 387, 14, 256.
Mean of the given data set
= ( Sum of all the distribution of the data set ) / ( number of observations)
= [tex]\sum x_{i}[/tex] / n
Where x represents the value of each distribution of the given data set.
and 'n' represents the number of data set
Here n = 14
Mean
=(388+217+317+361+350+298+400+147+254+101+ 336+387+14+ 256)/ 14
= 3826/ 14
=273.328
=273.33
Therefore, the mean of the given data set is equal to 273.33.
The given question is incomplete, I answer the question in general according to my knowledge:
Calculate the mean of the distribution of the following data set.
388, 217, 317, 361, 350, 298, 400, 147, 254, 101, 336, 387, 14, 256.
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How do you determine if a function is an exponential function?
Answer:
How can you tell if a function is an exponential function? If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential. In quadratic equations, your functions were always to the 2nd power. In exponential functions, the exponent is a variable.
Tell whether the ratios form a proportion.
8 : 4 and 12 : 8
The ratios _____ (do or do not) form a proportion. The cross products are _____ (state the cross product or state "not equal")
Response:
-----------------------------------
----------------------------------
The ratios do not form a proportion. The cross-products are not equal.
To find ratios 8 : 4 and 12 : 8 are proportional or not, we are using cross products.
First, we write an equation with the ratios given:
[tex]\frac{8}{4}[/tex] = [tex]\frac{12}{8}[/tex]
Next, we cross-multiply the equation to find the cross products:
8×8 = 12×4
Simplifying both sides we get:
64 ≠ 48
we get our cross products 64 and 48 which are not equal. Thus the ratios 8 : 4 and 12 : 8 are not in proportion.
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What is exponential form formula?
Answer:
f(x)=a(b)^x
Step-by-step explanation:
exponential functions are usually growth or decay,
a represents the base, b is the change, and x is how much time (depending on the question). if b is larger than 1 ex: 1.08, it is growth. if it is less than 1 ex: 0.4, it is decay
The exponential form formula is a^b = c, where a is the base, b is the exponent, and c is the result. In this formula, a is raised to the power of b, resulting in the value c.
Please I need help!!!
Find the measure of each missing angle.
The measures of the missing angles are given as follows:
m < 1 = 4º. m < 2 = 88º.m < 3 = 124º.m < 4 = 88º.m < 5 = 36ºHow to obtain the angle measures?First we consider that when two angles form a ray, they are supplementary, meaning that the sum of their measures is of 180º.
Then the measures of angles 3 and 5 are given as follows:
m < 3 + 56 = 180 -> m < 3 = 124º.m < 5 + 144 = 180 -> m < 5 = 36º.The sum of the internal angles of triangle is of:
S(3) = (3 - 2) x 180º = 180º.
Hence the measure of angle 4 is obtained as follows:
m < 4 + 36 + 56 = 180
m < 4 = 180 - (36 + 56)
m < 4 = 88º.
Angles 2 and 4 are congruent, hence the measure of angle 2 is given as follows:
m < 2 = m < 4 = 88º.
The sum of the internal angles of a quadrilateral is of:
S(4) = (4 - 2) x 180º = 360º.
Hence the measure of angle 1 is obtained as follows:
m < 1 + 88 + 144 + 124 = 360
m < 1 = 360 - (88 + 144 + 124)
m < 1 = 4º.
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How many degrees is a 10 to 1 slope?
The degree value, when rounded to the nearest decimal, is 6. Therefore, the slope's angle of 1 in 10 is 6 degrees.
1 in 10 in geometry refers to the ratio of one unit of vertical drop or rise for every ten units of horizontal distance crossed. This slope's value is calculated using the angle of tan. Let x represent the tan-using angle.
tan x = horizontal distance/vertical distance
tan x = 1/10
tan x = 0.1
Now taking the inverse
x = [tex]\tan^{-1}(0.1)[/tex]
x = 5.71 degree
The degree value, when rounded to the nearest decimal, is 6.
Therefore, the slope's angle of 1 in 10 is 6 degrees.
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The right question is:
How many degrees angle is a 1 in 10 slope?
What is the base of an exponential term?
The base of an exponent is a number that is increased to a definite power. So, the base of an exponent defines the number that is multiplied by itself.
The exponent means how many times the base number is multiplied.
The power can be expressed as the number obtained by increasing the base number to the exponent.
So, in the power [tex]a^{n}[/tex], the letter “a” is the base. The letter n is the exponent.
It says, a is multiplied by itself n number of times.
If the base is a negative and an exponent is an even number, the power is positive.Example - (-5) ² = (-5) × (-5) = 25
If the base is negative and an exponent is an odd number, the power is negative.Example: (-5)³ = (-5) × (-5)× (-5) = -125
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What is the slop intercept form of the equation
Answer:
The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
A trucking company sets up contracts with various manufacturing companies to ship their freight. One contract has the following points: A charge of 6.5% of the total value of the freight for each delivery. A charge of $70 per delivery regardless of the amount of freight. Your responsibility is to determine the lowest values of combinations of total freight value and number of deliveries each month that will be necessary in order for the trucking company to make AT LEAST $102,000 each month.
Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.
What are linear inequalities?
Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.
The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.
e.g. y>x+2
Now,
Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.
Let only one delivery is possible per day and no. of deliveries=n
amount of each freight=x
Therefore,
Linear inequality will be n(6.5/100**x+70)>102000
So least values of n and x will be
n=30 and x=$60000
Hence,
number of least deliveries is 30 and value of freight is $60000.
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