Answer: 2295 a month
Step-by-step explanation:
Now 15% of 2700 should be reduced from 2700, you should find how much 15% is in money form.
Use this way if you are allowed to use a calculator:
straight-away multiply 15% (you should include the percentage sign when entering the values if u are using the calculator) from 2700. Then the value you get is 405 (it is the money that this company wants to reduce from their bills)The next step is subtracting that value (405) from the bills (2700) of the company. Then the final answer is 2295.15% x 2700= 405
next: 2700- 405= 2295
Use this way if you are not allowed to use the calculator:
You should convert the percentage value to a fraction in order to make it much easier to multiply it with the bill's value. So it is very easy as we always divide the value presented as a percentage by 100. So the fraction of 15% is [tex]\frac{15}{100}[/tex].next just multiply it ([tex]\frac{15}{100}[/tex]) by the value of the bill(2700) in order to get the amount that this company wants to reduce from their bill. And then the value you will get is 405, make sure to subtract it from the bill value given in the question. So that is when you get the final answer (2295)[tex]\frac{15}{100}[/tex] × 2700= 405
therefore; 2700- 405= 2295
Complete the table by evaluating the expression 3/x for the given values of x. Type your answer as a decimal, if necessary.
what is -1 1/2 minus -2.1
By calculating the given expression -1 1/2 minus -2.1 we get 1.6
or 8/5 .
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables , constants and exponents.
Given expression,
-1 whole (1/2) minus -2.1
so -1 whole (1/2) can be written as = -2+1 / 2 = -1/2
so -2.1 can be written as = -21/10
-1/2 - (-21/10)
= -1/2 + 21/10
= 21/10 - 1/2
= 21-5/ 10
= 16/10
= 1.6
Hence , By calculating the given expression -1 1/2 minus -2.1 we get 1.6
or 8/5 .
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Quadrilateral ABCD has the vertices B (2, 5) and D (0, -3). If ABCD is a square, what are the coordinates of the other two
vertices?
O (5, 5) and (-3, 2)
O (5, 0) and (3, 2)
O (5, 0) and (-3, 2)
O (-5, 0) and (-3,-2)
The coordinates of the other two vertices of the square are
C. (5, 0) and (-3, 2)How to find the other coordinatesPlotting the points shows that the coordinates given are diagonals of the square
The property of the square used now is that the diagonal are equal
Investigating the sets of vertices B (2, 5) and D (0, -3) & (5, 0) and (-3, 2) will show that they will given equal length of diagonals
B (2, 5) and D (0, -3)
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
d =√{(2 - 0)² + (5 + 3)²}
d =√{4 + 64}
d = √68
(5, 0) and (-3, 2)
d =√{(5 + 3)² + (2 - 0)²}
d =√{64 + 4}
d = √68
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Suppose a normally distributed set of data has a mean of 108 and a standard deviation of 12. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 120. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates.
Caution: Using tables or Excel for this may produce a wrong answer. Use the 68-95-99.7 rule.
By using the 68-95-99.7 Rule, the percent of scores in the data set that are expected to be below a score of 120 is 84.13%.
What is the Empirical Rule?In Mathematics, the Empirical Rule is sometimes referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that:
The middle 68% of a normal distribution would be within 1 standard deviation of its mean i.e between μ - σ and μ + σ.The middle 95% of a normal distribution would be within 2 standard deviations of its mean i.e between μ - 2σ and μ + 2σ.The middle 99.7% of a normal distribution would be within 3 standard deviations of its mean i.e between μ - 3σ and μ + 3σ.At the middle 68% of the normal distribution, we have the following standard score:
μ - σ = 108 - 12 = 96.
μ - σ = 108 + 12 = 120.
Where:
μ is the sample mean.x is the score.σ is the standard deviation.At the middle 95% of the normal distribution, we have:
μ - σ = 108 - 2(12) = 84.
μ - σ = 108 + 2(12) = 132.
At the middle 99.7% of the normal distribution, we have:
μ - σ = 108 - 3(12) = 72.
μ - σ = 108 + 3(12) = 144.
Now, we can determine the percent (P) of scores in the data set that are expected to be below a score (x) of 120;
P(x < 120) = P((x - μ)/σ < (120 - 108)/12)
P(x < 120) = P((x - μ)/σ < 12/12)
P(x < 120) = P(z < 1)
P(x < 120) = 0.8413
P(x < 120) = 84.13%
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A box is filled with two different sizes of bolts. 35% are small bolts that have a mass of 20 grams each and 65% are large bolts that have a mass of 30
grams each. What would be the mass of 600 total bolts. Hint: Treat this like an average atomic mass problem to find the average mass of the bolts and
then multiply it by 600.
O 15,900 grams
O 12,300 grams
O 8,600 grams
O 20,370 grams
Answer:
The first option
15, 900 grams
Step-by-step explanation:
Total number of bolts = 600
Out of these 35% are small bolts
35% of 600 = 0.35 x 600 = 210
Total mass of 210 small bolts = 210 x 20 = 4200 grams
The remaining number of bolts = 600 - 210 = 390 large bolds
Their total mass = 390 x 30 = 11,700 gms
Total mass of all 600 bolds = 4,200 + 11, 700 = 15, 900 grams
This is the first of the listed choices
write any value that is not a solution of inequality 2x+1>11
===================================================
Explanation:
Let's isolate x.
2x+1 > 11
2x > 11-1
2x > 10
x > 10/2
x > 5
The inequality sign doesn't flip. It only flips if we multiplied or divided both sides by a negative number.
The solution set consists of values larger than 5. If x was an integer, then the roster set of solutions would be {6, 7, 8, 9, 10, 11, ...}
A non-solution is anything not in that set. If x is an integer, then a non-solution lives in the set {..., -3, -2, -1, 0, 1, 2, 3, 4, 5}.
Pick one of those values to write the final answer. I'll go with the value 2.
-------------
Check:
2x+1 > 11
2*2 + 1 > 11 ... replace x with 2
4 + 1 > 11
5 > 11
We arrive at a false statement to show that x = 2 is a non-solution.
2(x+1)=3(4-x)
Solve x
Answer:
2(x+1)=3(4-x)
2x+2=12-3x
2x+2+3x=12-3x+3x
5x+2=12
5x+2-2=12-2
5x=10
5x/5=10/5
x=2
Step-by-step explanation:
whats 2 x 2 feeling nice
Answer:
4
Step-by-step explanation:
2+2=4
Answer:
Step-by-step explanation:
If x means times and 2 x 1 is equal to 2 because 2 x 1 is just saying I'd there was 2 ones so 2 x 2 is 4 because there is 2 two so it would be 2 +2 is
Help Help Help Help I need help
6 to the 15th power
Step-by-step explanation: for exponents with the same base number just add the exponents (example): 3 to the 3rd power looks like this 3 x 3 x 3 but if we add 3 to the firth power, 3 x 3 x 3 x 3 x 3 then the entire thing becomes 3 to the eighth power, 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Find the length of the midsegment of the trapezoid with the vertices A(0, 3), B(2, 5), C(6, 4), D(2, 0).
The length of the midsegment is
The length of the midsegment of the trapezoid with the vertices A(0, 3), B(2, 5), C(6, 4), D(2, 0) is 3√16.
How to Find the length of the midsegment of the trapezoid?The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD
Step1:
Length of sides AB and CD
length = √(x2-x1)² + (y2-y1)²
AB =√(2-0)²+(5-3)²
AB = 2√16
Step2:
length = √(x2-x1)² + (y2-y1)²
CD = √(2-6)²+(0-4)²
CD = 4√16
Formula to use
midsegment = (AB+CD) / 2
= (4√16 + 2√6) / 2
= 3√16
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has domain
, and range
.
Answer:
hope it helps <3
Step-by-step explanation:
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in
Answer: Need more information to answer.
Step-by-step explanation:
A school wishes to enclose its rectangular
playground using 280 meters of fencing.
Suppose that a side length (in meters) of the
playground is, as shown below.
(a) Find a function that gives the area A(x) of the
playground (in square meters) in terms of x.
(b) What side length x gives the maximum area
that the playground can have?
(c) What is the maximum area that the playground
can have?
a) find that x = 140/2 = 70.
b) side length [tex]x[/tex] the maximum area that the playground can have is x = 70
c) The maximum area that the playground can have is 980 square meters
How to find the area of playground?a. The playground is a rectangle, and the perimeter of a rectangle is given by 2(l + w) = 2x. The given information is that the perimeter is 280 meters, so we can set up the equation 2x = 280. Solving for x, we find that x = 140/2 = 70.
Now that we know the perimeter, we can find the area of the playground by using the formula A = lw. Since the perimeter is fixed at 280 meters, we can express the area of the playground as a function of x:
A(x) = lw = (x/2)(280 - x) = 140x - x^2
b. To find the side length x that gives the maximum area, we need to take the derivative of the area function and set it to zero.
A'(x) = 140 - 2x = 0
x = 70
c. Plugging x = 70 back into the area function, we get:
A(x) = 140x - x^2 = 140 * 70 - 70^2 = 140 * 70 - 4900 = 980.
The maximum area that the playground can have is 980 square meters.
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please can anyone help !!!! i need this to graduate!!! i’m desperate
The overall net force operating on an item in the lateral direction is referred to as a lateral force.
What is lateral forces?An element of a wooden container or crate that is positioned at an angle to other elements to increase strength.
The square of the hypotenuse's length (c) equals the squares of the lengths of a right triangle's opposite sides (a) and (b), according to the formula a2 + b2 = c2 (b). Therefore, using two arms of 54 units each, we can compute the diagonal's length as follows: (542 + 542) = c2, or the diagonal's squared length.
The total net force operating on an item in the lateral direction is referred to as a lateral force. The horizontal direction and lateral direction are frequently used interchangeably.
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You are constructing a 90% confidence interval for a sample consisting of n = 9 values and an unknown population standard deviation. The population appears to be very skewed. Determine whether a margin of error should be calculated using a critical value of zα/2, a critical value of tα/2, or neither.
A. a critical value of zα/2
B. a critical value of tα/2
C. neither
Using sampled data from a population (sample space) that has a definite size and follows a particular probability distribution, a Confidence Interval is a region is constructed.
What is meant by confidence interval ?A confidence interval shows the likelihood that a parameter will be between two values that are close to its mean. The level of certainty or uncertainty in a sampling process is measured by confidence intervals.
A Confidence Interval is a zone created using sampled data from a population (sample space) that has a fixed size and follows a specific probability distribution. The interval is built to include a selected population statistic with a certain probability.
A confidence interval in statistics is an educated prediction regarding a population trait. An original estimate plus or minus an error margin makes up a confidence interval (the amount by which you expect your results to vary, if a different sample were taken).
Therefore, the correct answer is option C. neither.
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Can someone pleeease help me
What is 5+8(3+x)
Answer:
29+8x
Step-by-step explanation:
Answer:8x+29
Step-by-step explanation:
Distribute the 8 onto the 3+x
We arrive with: 5+24+8x
Add like terms: 29 + 8x
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x^2 + 6x = 7
The intermediate step in the form (x+a)² = b as a result of completing the square for the following is (x + 3 )² = 16.
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:
Equation x²+6x = 7
This can also be written as:
x²+6x - 7 = 0
To complete the square of the expression, we will add the square of the half of coefficient of x in the equation to both sides
Coefficient of x = 6
Half of the coefficient =3
Square of the result = 9
Add 9 to both sides to have:
x²+6x - 7 + 9 = 0 + 9
x²+6x +9 - 7 = 9
(x + 3 )² = 16
Hence, the intermediate is (x + 3 )² = 16.
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Use the discriminant to describe the roots of each equation. Then select the best description. 16x2 + 8x + 1 = 0
- double root
- real and rational roots
- real and irrational roots
- non-real roots
The discriminant of the quadratic equation is zero, thus, we have a double root.
How to use the discriminant to analyze the roots?A general quadratic equation can be written as:
y = a*x^2 + b*x + c
The discriminant is defined as:
D = b^2 - 4ac
If D > 0, then we have two real roots.If D = 0, then we have only one real rot (a double root)if D < 0, we have non-rea roots.In this case, the quadratic equation is:
16x^2 + 8x + 1 = 0
So the discriminant is:
D = 8^2 - 4*16*1
D = 0
So we have a double root.
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Please i need answer today
Two expressions joined by an equals sign form an equation.
What are the equations of the line?a )B(-2, -5) and C(1, 1)
The point - slope form of the equation ,
y- y₁= m (x-x₁) --- (1)
(x₁, y₁) = (-2, -5)
The slope = m
[tex]m =\frac{y_{2}- y_{1}}{x _{2}- x _{1}} \\\\m = \frac{1+ 5}{1 +2} \\\\m = \frac{6}{3} = 2[/tex]
Substituting (x₁, y₁) = (-2, -5) and m = 2 in (1),
y- y₁=m (x-x₁)
y +5 = 2 (x + 2)
y +5 = 2x + 4a
y = 2x +4 - 5
y = 2x - 1
b ) B(-2, -5) and C(1, 1)
The slope- intercept form of the equation ,
y = mx +b ---- (1)
The slope = m
[tex]m =\frac{y_{2}- y_{1}}{x _{2}- x _{1}} \\\\m = \frac{1+ 5}{1 +2} \\\\m = \frac{6}{3} = 2[/tex]
(x₁, y₁) = (-2, -5)
Substituting (x₁, y₁) = (-2, -5) and m = 2 in (1),
-5 = 2(-2) + b
-5 = -4 + b
-5 +4 = b
b = - 1
The y- intercept , b is -1
Substituting b = -1 and m = 2 in (1)
y = 2x - 1
c ) B(-2, -5) and C(1, 1)
The general form of the equation,
Ax + By +C = 0 -- (1)
Here,
A = [tex]y_{1} -y_{2}[/tex]
B = [tex]x _{2}- x _{1}[/tex]
C = [tex]x_{1}y_{2}- x_{2}y_{1}[/tex]
(-5 -1 )x + (1 +2)y + (-2 +5) = 0
-6x + 3y + 3 = 0
3y = 6x - 3
y = 2x- 1
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Two expressions joined by an equals sign form an equation.
a )B(-2, -5) and C(1, 1)
The point - slope form of the equation ,
y- y₁= m (x-x₁) --- (1)
(x₁, y₁) = (-2, -5)
The slope = m
m=y[tex]_{2}[/tex]-y[tex]_{1}[/tex]/x[tex]_{2}[/tex]-x[tex]_{1}[/tex]
m= 1+5/1+2
m=6/3 =2
Substituting (x₁, y₁) = (-2, -5) and m = 2 in (1),
y- y₁=m (x-x₁)
y +5 = 2 (x + 2)
y +5 = 2x + 4a
y = 2x +4 - 5
y = 2x - 1
b ) B(-2, -5) and C(1, 1)
The slope- intercept form of the equation ,
y = mx +b ---- (1)
The slope = m
m=y[tex]_{2}[/tex]-y[tex]_{1}[/tex]/x[tex]_{2}[/tex]-x[tex]_{1}[/tex]
m= 1+5/1+2
m=6/3 =2
(x₁, y₁) = (-2, -5)
Substituting (x₁, y₁) = (-2, -5) and m = 2 in (1),
-5 = 2(-2) + b
-5 = -4 + b
-5 +4 = b
b = - 1
The y- intercept , b is -1
Substituting b = -1 and m = 2 in (1)
y = 2x - 1
c ) B(-2, -5) and C(1, 1)
The general form of the equation,
Ax + By +C = 0 -- (1)
Here,
A =y[tex]_{1}[/tex]-y[tex]_{2}[/tex]
B = x[tex]_{2}[/tex] -x[tex]_{1}[/tex]
C = x[tex]_{1}[/tex]y[tex]_{2}[/tex] - x[tex]_{2}[/tex]y[tex]_{1}[/tex]
(-5 -1 )x + (1 +2)y + (-2 +5) = 0
-6x + 3y + 3 = 0
3y = 6x - 3
y = 2x- 1
What is equation?There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.To learn more about variable refer to:
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Data was collected for 40 randomly selected honey bee hives on a farm. The number of parasites found in each hive was recorded. The data is summarized in the histogram below.
The maximum possible number of parasites for the class containing the value 47 is equal to 50.
What is a class width?In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table or histogram.
Mathematically, the class width of a data set can be calculated by using this formula:
Class width = max - min
Where:
max represents the maximum value in a data setmin represents the minimum value in a data set.Based on the histogram above, the class width with a value of 47 is given by;
Class width = 45 to 50
Therefore, the maximum (upper) possible number is 50.
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Solve 0 = x2 + 8x + 17 by completing the square.
Answer: ±i-4
Step-by-step explanation:
To solve this equation by completing the square, we first have to adjust the equation.
Let's rewrite it in this form:
x^2+8x+16+1=0
Then we can complete the square.
(x+4)^2+1=0
(x+4)^2 = -1
x+4 = ±i
x = ±i-4
Here are two stories: Story 1: A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show. Story 2: Diego has 24 ounces of juice. He pours equal amounts for each of his 3 friends, and then adds 6 more ounces for each. Here are two equations: Which equation represents Story 2? Select one: 3(x + 6) = 24 6(x + 3) = 24
The equation representing the story 2 is equivalent to -
3(x + 6) = 24.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is are the mathematical word problems as stories.
According to the story 2 -
Diego has 24 ounces of juice. He pours equal amounts for each of his 3 friends, and then adds 6 more ounces for each.
Let the amount of juice poured for each friend at the start be {x}. Then, we can write it as {3x}. For six ounce more per friend, the expression will be (6 x 3). Total juice will be equal to -
3x + (6 x 3) = 24
3x + 3(6) = 24
3(x + 6) = 24
Therefore, the equation representing the story 2 is equivalent to -
3(x + 6) = 24.
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a recipe ys to use 3 cups of flour to make 48 cookies. what is the constant of proprtinality that relates the number of cookies make, y, to the number of cups of flour used, x?
Answer:
the constant of proportionality is 16
Step-by-step explanation:
To find the constant you have to find what 1 equals so when dividing 48 by 3 you get 16.
an equation that is perpendicular of y=x+3
The equation of perpendicular is x+y=3
The equation perpendicular to ax+by+c=0 is bx-ay+c=0.
Here we are given x-y+3=0
a=1,b=-1c=3
the equation is -1x-y+3=0
x+y=3
The equation of perpendicular is x+y=3.
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Visible blue light has a wavelength of about 0.0000475 centimeters.
What is this measurement written in scientific notation?
OA. 4.75 x 105 centimeters
OB. 4.75 x 104 centimeters
OC. 4.75 x 10-5 centimeters
OD. 4.75 x 104 centimeters
Reset
Submit
4
27
This measurement written in scientific notation is 4.75 x 10-5 centimeters.
What is the frequency of visible blue light? Visible blue light has a frequency range of approximately 380nm (nanometers) to 500nm. The exact frequency of blue light depends on its wavelength, which can vary slightly. Blue light is part of the visible spectrum, which is a range of electromagnetic radiation that is visible to the human eye. Blue light has the shortest wavelength and highest frequency of the visible spectrum. Blue light has a frequency range of 4.3 x 10^14 hertz to 8 x 10^14 hertz. It has a higher frequency than green and red light, which have frequencies of around 4 x 10^14 hertz and 3 x 10^14 hertz, respectively. Blue light also has a shorter wavelength than green and red light. Blue light is important for regulating our circadian rhythm, or our sleep-wake cycle, and helps us stay alert and focused during the day. Exposure to blue light in the evening can negatively affect our sleep, so it is important to limit our exposure to blue light from screens at night.Solution:
Step 1: The given wavelength of blue light is 0.0000475 centimeters.
Step 2: To convert this number into scientific notation, we need to move the decimal point 4 places to the left.
Step 3: This results in 4.75 x 10-5 centimeters.
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The sum of three consecutive integers is -33. List the numbers from smallest to largest
So, on solving the provided question we cans say that the three consecutive integers are -12,-11,-10.
What is consecutive integers?Integers with no spaces between them are referred to as consecutive integers. Integers 15, 16, and 17 are examples of sequential numbers. Serial numbers are arranged in ascending order of least to largest. like in 1, 2, 3, 4, 5, 6, etc., which are all consecutive numbers. Therefore, there are three 7s in a row: 27, 28, 29, 30, and 33. In the event that n is an integer, then (n + 1) and (n + 2) are two subsequent integers: If n is 1, for instance, the subsequent integers are (1 + 1) and (1 + 2) or 2 and 3.
The sum of three consecutive integers is -33.
x +x+1+x+2 = -33
3x+3 = -33
3x = -36
x = -12
so, three consecutive integers are -12,-11,-10.
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solve for angle w please
In the triangle ΔMRW the measure of ∠W = 80°.
What is a triangle?
A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.
In the given ΔMRW the measure of ∠R = 50°.
In the image it can be seen that ∠W and ∠M are not equal to or greater than 90°.
In the image it can also be seen that ∠M and ∠R are equal as WR = WM and ΔMRW is a isosceles triangle.
Hence, the angles ∠W and ∠M are acute angles.
Let the measure of ∠W be x.
It can be seen in the diagram that ∠M = 50°.
Also, when the triangle is measured using a protractor the measure of ∠M is found to be 50°.
Then it is known that sum of angles of a triangle results in 180°.
∠W + ∠M + ∠R = 180°
So, substitute the values of the angles in the equation -
x + 50° + 50° = 180°
x + 100° = 180°
x = 180° - 100°
x = 80°
Therefore, the value for ∠W = 80°.
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5
Select the correct answer from each drop-down menu.
x f(x)
-1
7
1
6
3
5
4 1
6 -1
The values in the table define the function f(x). Two points that lie on the graph of f¹(x) are
blank and blank
(7, -1) and are two points that are located on the graph of f-1(x) (6,1)
How are the points determined?Make use of the slope formula to determine the slope.
To find the y-intercept (b), use one of the points and the slope.
The slope-intercept form of a line is y = mx + b, and you may obtain the equation for the line by plugging in the values for m and b once you have those values.
Given is the values table:
x f(x) (x)
-1 7
1 6
3 5
4 1
6 -1
To get the inverse function of f-1, swap the points (x)
x f^-1(x) (x)
7 -1
6 1
5 3
1 4
-1
The aforementioned table's points are (7, -1), and (6,1)
Therefore, the points (7, -1) and are on the graph of f-1(x) (6,1).
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Consider the function f(x)=2x^3-kx^2+8. Find the value of k so that x=2 is a solution of f(x)=0
for the given function the value of k=6
What is a function?
A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph since one is mapped to two different values. However, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.
The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.
function f(x)=2x^3-kx^2+8
For x=2
f(2)=2*8-k*4+8 = =
4k = 24
k = 6
Hence, for the given function the value of k=6
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HELP PLS AND TELL MEH HOW
First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range.
When we add an outlier, the range may ______ , but it will never _________ .
increase decrease
decrease increase
When we add an outlier, the range may increase , but it will never decrease .
What is the outlier?We know that the outlier has to do with a value that lies outside the range of the values that we have. It is a value that is not consistent with the rest of the measurement. The outlier may be too large or too small to fit into the rest of the data.
In the case that we have here, we can see that the outlier is a value that is very much higher than the rest of the measurement and this outlier is going to make the range of the measure to increase.
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how much higher is checkpoint 4 than checkpoint 3. If checkpoint 4 is -99 and checkpoint 3 is -207
Checkpoint 4 is 108 higher than Checkpoint 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Checkpoint 4 = -99
Checkpoint 3 = -207
The difference between the checkpoints.
= -99 - (-207)
= -99 + 207
= 108
This means,
-207 + 108 = -99
Thus,
Checkpoint 4 is 108 higher.
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