Answer:
A. 62 units
Step-by-step explanation:
To find the perimeter of the rectangle, you have to use the Pythagorean theorem.
a^2 + b^2 = c^2 - Formula
24^2 + b^2 = 25^2 - Plug in values
576 + b^2 = 625 - Simplify
b^2 = 49 - Isolate the variable
b = 7 - Solve
After finding the height, find the perimeter.
P = 2b + 2h
P = 2(24) + 2(7)
P = 48 + 14
P = 62 units
Perform the following conversion:
2,748 yd to km
Using the unitary method and the conversion factor, we found the value of 2748 yards in km as 2.512 km.
What is meant by the unitary method?The unitary method is a strategy for problem-solving that involves first determining the value of a single unit and then multiplying that value to determine the required value. Therefore, the goal of this method is to establish values in relation to a single unit. Always write the things that need to be calculated on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.
We are given the length as 2748 yards.
Now, this is to be converted to km.
This can be done using the unitary method.
The unitary method uses the single unit's value to find the value of multiple units.
But first, we must find the conversion factor.
1 yard = 0.000914 km
So the value of 2748 yards in km is
2748 * 0.000914 = 2.512 km
Therefore using the unitary method and the conversion factor, we found the value of 2748 yards in km as 2.512 km.
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Evaluate the following piece wise function.
Find the values of :
F(-2) =
F(4) =
3F(0) =
10F(14) =
110 is the value of x in function .
What exactly are function and example?
A function is a type of rule that produces one output from one input. This is illustrated by the equation y=x2. You only get one output for y if you enter anything for x.
Considering that x is the input value, we would state that y is a function of x.
f(x) = { 5; x< 1 }
{ -1/2x + 4 ; x≥ 1 }
f(4) = { -1/2 * 4 + 4 }
= { -2 + 4 }
= { 2 }
f( -2) = { -1/2 * -2 + 4 }
= { 1 + 4 }
= 5
3f(0) = { -1/2 * 0 + 4 }
= { 0 + 4}
= 4 * 3 = 12
10f(14) = ( -1/2 * - 14 + 4 )
= 7 + 4
= 10 * 11 = 110
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Find the slope of the line of fit and explain its meaning in the context of the data.
80 a student who studies for 0 hours is predicted to earn 80% on the test
70 a student who studies for 0 hours is predicted to earn 70% on the test
10 for each additional hour a student studies, their grade is predicted to increase by 10% on the test
5 for each additional hour a student studies, their grade is predicted to increase by 5% on the test
The slope of the line of fit is 7.5% per hour.
What is slope ?In mathematics, slope refers to the measure of steepness or incline of a line. It is the ratio of the vertical change between two points on the line (the rise) to the horizontal change between the same two points (the run).
According to given conditions:To find the slope of the line of fit, we need to use the formula:
slope = change in y / change in x
In this case, the change in y represents the change in the predicted grade on the test, and the change in x represents the change in the number of hours studied. From the given data, we can see that:
The predicted grade for a student who studies for 0 hours is 80%.
The predicted grade for a student who studies for 1 hour is 90% (80% + 10%).
The predicted grade for a student who studies for 2 hours is 95% (90% + 5%).
Using this information, we can calculate the slope of the line of fit:
slope = (95% - 80%) / (2 hours - 0 hours) = 15% / 2 hours = 7.5%/hour
The slope of the line of fit is 7.5% per hour. This means that for each additional hour a student studies, their predicted grade on the test is expected to increase by an average of 7.5%. The slope represents the rate of change of the predicted grade with respect to the number of hours studied. In this case, a positive slope indicates that there is a positive correlation between the number of hours studied and the predicted grade on the test. The higher the slope, the steeper the line of fit, and the greater the impact of studying on the predicted grade.
Therefore, the slope of the line of fit is 7.5% per hour
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Make and label the dimensions of four prisms, each with a volume of 1 dm3 (a cubic decimeter)
- Make one a rectangular prism that is not a cube.
- Make one a tall triangular prism.
- Make one a trapezoidal prism.
- Make one an octagonal prism.
Explain your thinking for each prism.
Prove that each prism has a volume of 1 dm3
The calculation of volume for the different kind of prisms are:
Rectangular Prism- 1 dm³
Tall triangular prism- 1 dm³
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
Rectangular prism: A rectangular prism that is not a cube can have dimensions of 0.5 dm x 0.5 dm x 4 dm.
This gives a volume of:
0.5 dm x 0.5 dm x 4 dm = 1 dm³
The rectangular prism has six faces, all of which are rectangles.
Tall triangular prism: A tall triangular prism can have a triangular base with sides of length 1 dm, 1 dm, and 2/√3 dm, and a height of 2√3/3 dm. This gives a volume of:
(1 dm x 1 dm x 2/√3 dm) x (2√3/3 dm) = 1 dm³
The tall triangular prism has five faces, one of which is a parallelogram and the other four are triangles.
To prove that each of these prisms has a volume of 1 dm³, we can use the formula for the volume of a prism, which is:
Volume = Base Area x Height
For each of the prisms above, we have calculated the base area and height such that their product equals 1 dm³.
Therefore, each prism has a volume of 1 dm³.
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solve for x.Leave your answer in simpliest form please
Answer:
492
Step-by-step explanation:
The GCF is found through p.i.g method.
6-2=3
Which system of inequalities is represented by the graph?
The inequalities that are represented by the given graph are expressed as;
y - x > 0 and y ≥ 1
How to interpret Inequality Graph?Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
The general form of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
For the dashed line, shading is above the line, the y-intercept is 0.
Slope is 1. Thus, equation is;
y - x > 0
For the horizontal line, the inequality is expressed as;
y ≥ 1
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y = 2x - 4
Write the equation of the graph in slope-intercept form
y=-2x - 4
Supersonic
y =
- 4
y =
12/200
-x-4
Answer:
The correct equation is y = -2x - 4.
If the graph function f (x)=e^x is shifted 6 units to the right what is the equation of the new graph
The equation of the new graph is:
f(x) = e^(x-6)
The graphs of the two functions f(x) = e^x and f(x) = e^(x-6) are shown below
Determining the equation of the new graphFrom the question, we are to determine the equation of the new graph.
If the graph of the function f(x) = e^x is shifted 6 units to the right, the equation of the new graph can be found by replacing x with (x - 6) in the original equation.
This is because a horizontal shift of a function f(x) to the right by c units can be achieved by replacing x with (x - c) in the equation of the function. So, for the given function, a shift to the right by 6 units would be achieved by replacing x with (x - 6) in the original equation f(x) = e^x.
Therefore, the equation of the new graph is:
f(x) = e^(x-6)
This can also be written as:
f(x) = e^x / e^6
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Use the diagram to write an example of the Line-Point Postulate.
A diagram shows a plane, M. Points,H J, K, G, and L, are marked on the plane. A line, q, passes through points, J, H, and K. A line, p, passes through a point, G, intersecting line, q, at point H.
Responses
Line $p$ contains point $H$ .
Line p contains point cap h.
Line $p$ contains points $H$ and $J$ .
Line p contains points cap h and cap j.
Line $q$ contains point $J$ .
Line q contains point cap j.
Line $q$ contains points $J$ and $K$ .
Line q contains points cap j and cap k.
We can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.
What is Line point postulate ?
The line-point postulate, also known as the incidence postulate, is a fundamental axiom in geometry that states that for any two points in a plane, there exists exactly one line that contains both points.
In other words, the line-point postulate asserts that a line can be uniquely determined by two distinct points that lie on it. This is one of the most basic and intuitive principles in geometry, and it is essential for building a foundation for more advanced concepts such as angles, triangles, circles, and more.
The Line-Point Postulate states that a line can be uniquely determined by any two distinct points on the line. In this diagram, we can see an example of this postulate in action.
For instance, we can say that line $q$ passes through points $J$ and $K$, so according to the Line-Point Postulate, this is enough information to uniquely determine the line $q$. Similarly,
Therefore, we can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.
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Write an integer for each situation. 1. a profit of php 100.00
The integer to represent the profit of php 100.00 is +100.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, a profit of php is 100.00.
The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.
So, here the integer is +100
Therefore, the integer to represent the profit of php 100.00 is +100.
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QUESTION 2
Consider the following argument: If we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the
bookcase, the bookcase collapses. We do not put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of
the bookcase. Hence, the bookcase does not collapse. What is the logical form of this argument?
O a. Modus Ponens
O b. Hypothetical Syllogism
c. Denying the antecedent
d. Modus Tollens
e. Disjunctive Syllogism
Answer:
Modus Tollens
Step-by-step explanation:
Consider the following argument: If we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase, the bookcase collapses. We do not put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase. Hence, the bookcase does not collapse.
The logical form of this argument is Modus Tollens.
Modus Tollens is a mode of argumentation that involves affirming the consequent of a conditional statement. In this argument, the conditional statement is "If we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase, the bookcase collapses." The antecedent of this statement is "we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase," and the consequent is "the bookcase collapses."
Modus Tollens is used to prove the negation of the consequent by negating the antecedent. In other words, if the consequent is not true, then the antecedent must also not be true. Thus, in this argument, since we know that the bookcase does not collapse, we can conclude that we did not put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase.
Therefore, the logical form of this argument is Modus Tollens.
In order to develop a more appealing cheeseburger, a franchise uses taste tests with 8 different buns, 5 different cheeses,2 types of lettuce,and 3 types of tomatoes. If the taste test were done at one restaurant by one tester who takes 10 minutes to eat each burger ,approximately how long would it take the tester to eat all possible cheeseburgers ?
Answer: So it will take 90 hours (which is 3.75 days or 3 days, 18 hours) to eat all the possible cheeseburgers.
Step-by-step explanation:
There are 9 x 6 x 2 x 5 = 540 different cheeseburgers
So...
(540 cheeseburgers)*(10 minutes/1 cheeseburger) = 540 x 10 = 5400 minutes
Convert to hours to get
(5400 min)*(1 hr/60 min) = 5400/60 = 90 hours
Schedule K-1 (Form 8865) (irs.gov) use this form provided to Natalie Maloney
Schedule K-1 (Form 8865) is used to report the partner's share of income, deductions, credits, and other items for the tax year of a foreign partnership.
Some guidelines for completing the form:Identification information: Fill out the partnership's name, employer identification number (EIN), and address.
Partner's identifying information: Fill out the partner's name, identifying number (usually their taxpayer identification number or TIN), address, and their percentage of ownership in the partnership.
Income items: Report the partner's share of ordinary income, net rental income, gain or loss from the sale of property, and other income items on lines 1-7. Make sure to also include any foreign source income or deductions.
Deductions: Report the partner's share of partnership deductions, such as business expenses, depreciation, and depletion, on lines 8-15.
Credits: Report the partner's share of any foreign taxes paid or other credits on lines 16-21.
Other items: Report any other items that are required to be reported on Schedule K-1, such as guaranteed payments, charitable contributions, and Section 743(b) adjustments, on lines 22-27.
At-risk limitation: If the partnership is engaged in an activity subject to the at-risk rules, report the partner's share of the at-risk limitation on line 28.
Passive activity limitation: If the partnership is engaged in a passive activity, report the partner's share of the passive activity limitation on line 29.
P.S Your question is incomplete, so I gave a general overview of the tax form for better understanding.
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For Saturday matinees, a movie theater charges $5 for adult tickets and $3 for children's tickets. If the movie theater sold a total of 166 matinee tickets and made
$718 in revenue on Saturday afternoon, how many adult matinee tickets were sold?
Answer:
Let's use A to represent the number of adult tickets sold and C to represent the number of children's tickets sold.
We know that A + C = 166, since the total number of tickets sold is 166.
We also know that the revenue earned from adult tickets is $5A and the revenue earned from children's tickets is $3C. Since the total revenue earned is $718, we can write:
5A + 3C = 718
Now we have two equations with two variables:
A + C = 166
5A + 3C = 718
We can solve for A in the first equation to get:
A = 166 - C
Then we can substitute this expression for A into the second equation:
5(166 - C) + 3C = 718
Simplifying and solving for C, we get:
830 - 2C = 718
2C = 112
C = 56
So 56 children's tickets were sold. We can substitute this value back into the first equation to solve for A:
A + 56 = 166
A = 110
Therefore, 110 adult tickets were sold.
Answer:
Step-by-step explanation:
Let's use the following variables:
a = number of adult tickets sold
c = number of children tickets sold
We know that:
a + c = 166 (total number of tickets sold)
5a + 3c = 718 (total revenue)
We can solve this system of equations by substitution or elimination. Here, we'll use elimination:
Multiply the first equation by 3: 3a + 3c = 498
Subtract the second equation from the first: 2a = 220
Solve for a: a = 110
So 110 adult tickets were sold. We can find the number of children's tickets by substituting a = 110 into either of the original equations:
c = 166 - a = 166 - 110 = 56
Therefore, 110 adult tickets and 56 children's tickets were sold.
4(2x + 3) ÷ 5y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."
Answer:
Sum: not present
Term: 4(2x + 3), 5y
Product: 4 and (2x + 3), 4 and 2x, 4 and 3, 5 and y
Factor: 4, 2x, 3, 5, y
Quotient: (4(2x + 3)) ÷ 5y
Coefficient: 4, 5
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST!
The domain and the range of h(n) consist of all possible sets of whole numbers.
Other answers are listed below
The sequence of the figuresHow to determine the domain and the range of h(n)
From the question, we know that:
h(n) is the number of houses
n and h(n) can only take whole numbers as its values
So, we have
Thus, the domain and range consist of all possible sets of whole numbers.
How to determine h(5) and h(11)
From the figure, we can see that
The number of houses is the same as the figure number
This means that
h(5) = 5 and h(11) = 11
How to represent the explicit function of h(n)
By the computations above, we have the formula of h(n) to be:
h(n) = n
The values of s(4) and s(7)
Here, we have
s(n) is the number of segments
From the figure, we can see that
The number of segments is twice the the figure number
So, we have
s(4) = 8
s(7) = 14
The growth pattern of s(n)
Recall that:
The number of segments is twice the the figure number
This means that
The growth pattern of s(n) is linear, with a constant rate of change
The explicit function of s(n)
Above, we have
The number of segments is twice the the figure number
Mathematically, this can be expressed as
s(n) = 2n
The table of the infinite sequenceHow to complete the table for f(5) and f(7)
From the table, we can see that
The division of a term by 2 gives the next term
So, we have
f(5) = 2/2 = 1
f(7) = 1/2/2 = 1/4
How to determine the domain of f(n)
The possible values of n are real numbers
Thus, the domain consist of all possible sets of real numbers.
The observation of the function
Above, we have
The division of a term by 2 gives the next term
This represents the observation
The doubling sequence g(n)How to determine the value of g(4)
From the question, we have
First term, a = 9Common ratio, r = 2This means that
g(n) = 2(9)^n-1
So, we have
g(4) = 2(9)^3
g(4) = 1458
How to complete the statements
The function is a doubling function
So, we have
g(n) = g(n - 1) * 2, g(n) = g(n - 2) * 4 and g(n) = g(n - 3) * 8
How to determine the value of g(24)/g(21)
Recall that
g(n) = 2(9)^n-1
So, we have
g(24) = 2(9)^23
g(21) = 2(9)^20
When the equations are divided, we have
g(24)/g(21) = 2(9)^23/2(9)^20
Evaluate
g(24)/g(21) = 729
Hence, the value is 729
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can you please solve? thank you
The numeric values for the composite functions are given as follows:
p(q(2)) = 7.q(p(2)) = 3.What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the function rule presented as follows:
(f ∘ g)(x) = f(g(x)).
For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).
Using the definitions of p(x) and q(x) given in this problem, the composite function of p and q is given as follows:
[tex]p(q(x)) = p(\sqrt{x + 2}) = (\sqrt{x + 2})^2 + 3 = x + 2 + 3 = x + 5.[/tex]
Hence the numeric value at x = 2 is given as follows:
2 + 5 = 7.
The composite function of q and p is given as follows:
[tex]q(p(x)) = q(x^2 + 3) = \sqrt{x^2 + 3 + 2} = \sqrt{x^2 + 5}[/tex]
Hence the numeric value at x = 2 is given as follows:
sqrt(2^2 + 5) = sqrt(9) = 3.
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(x-1)(x+2)=x^2...-2
PLEASE HELP!!!!
Answer: (see attached file/screenshot)
Step-by-step explanation: You didn't specify the question so im guessing we solve with the quadratic formula
Ben is using a map. Let x represent a distance in centimeters on the map. To find an actual distance y in kilometers, Beth uses the equation y=8x
The table that can be constructed with the following equation has vales x: 0, 1, 2, 3 and y = 0, 8, 16, 24.
A linear equation is what?When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0.
The slope of the linear relationship is eight. The solution is below, along with a picture of the line.
Substitute different values of x to obtain value of y:
The table is given below:-
x I y
-------
0 I 0
1 I 8
2 I 16
3 I 24
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The complete question is:
what is 92199+20923+29290+83292+2819+99279+38471+37814
Answer:404087
Step-by-step explanation:
use the calculator frfr
Answer:
404087
Step-by-step explanation:
 find the formula for an exponential function that passes through (-2,6) and (3,1)
The exponential function that passes through (-2,6) and (3,1) is y = 2.93(0.6988)ˣ
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
An exponential equation is in the form:
y = abˣ
where a is the initial value and b is the multiplier.
Given that an exponential function that passes through (-2,6) and (3,1). At the point (-2, 6):
6 = a(b)⁻²
a/b² = 6
a = 6b² (1)
At the point (3, 1):
1 = ab³
substitute a = 6b²:
1 = 6b²(b³)
1/6 = b⁵
b = 0.6988
a = 6(0.6988)²
a = 2.93
The exponential function is y = 2.93(0.6988)ˣ
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Kristoff needs to fill in the blanks below to factor x2 - 12x + 20. Which of the following is
NOT true about the missing values?
Answer:
c. The numbers must have a sum of 12.
Step-by-step explanation:
Given a polynomial [tex]x^2+cx+d[/tex], in its factored form, [tex](x+a)(x+b)[/tex], the following must be true:
[tex]a + b = c[/tex]
[tex]a \cdot b = d[/tex]
In the given polynomial, we can assign the following values:
[tex]c = -12[/tex]
[tex]d=20[/tex]
Using these values, we can go through the answer choices:
Remember: we are finding the statement that is NOT true.
a) "the numbers must have a product of 20"
If we look at the equation [tex]ab = d[/tex], we can see that this statement is correct; therefore, we should not check it.
b) "the numbers must both be negative"
This is not necessarily true, as a positive plus a negative can still result in a negative; however, in this case, it is true (if we factor, we get a = -2, b = -10).
c) "the numbers must have a sum of 12"
This is false, since c = -12. The numbers (a and b) must add to negative 12, not positive 12; therefore c) is the correct answer.
Which statement best describes discretionary government spending?
Back
A. A fixed amount of money spent on the same categories every year
B. The money used to pay for Social Security and Medicare
C. A changing amount of money spent on different categories each year
D. Money that you determine how it is spent by the government when you submit your taxes
Select an answer
C. A changing amount of money spent on different categories each year
What is amount?Amount is a term used to describe a quantity of something, typically money. It is often used to refer to the total value of a financial transaction or the sum of multiple payments. Amount can also refer to any other quantifiable measure, such as a number of items, units of time, or a volume or quantity of something.
Discretionary government spending is a type of government spending that is determined each year by the Congress, and typically includes funds for defense, education, infrastructure, and other government programs. The amount of money spent on each category can vary from year to year, making it a type of changing, or discretionary, spending.
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-
The sum of a number times 7 and 29 is at most − 26.
Use the variable b for the unknown number.
Using the variable b for the unknown number, we have the expression 7b + 29 ≤ - 26.
What is a variable?In algebra, a variable is a symbol (typically a letter) used to represent an unknowable numerical value in an equation. The variables x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are frequently used (arc length).
The sum of a number times 7 and 29 is at most -26 .
The inequality in the mathematical form will be written as below:-
7b + 29 ≤ -26.
Therefore, the inequality will be written as 7b + 29 ≤ - 26.
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Test Prep While working at the school store, John sold a jacket for $40.00 and notebooks for $1.50 each. If he collected $92.50, how many notebooks did he sell?
Answer: 35
Step-by-step explanation:
So we already know he sold $40 worth jacket so lets subtract that from 92.50
92.50-40= 52.5
So he sold $52.5 worth of notebooks
since we know each notebook costs 1.50 all we have to do is divide
52.5 / 1.50 = 35
He sold 35 notebooks
what is 6 x 18 using the distributive property
Answer:
6 x (9 + 9), (6 x 9) + (6 x 9), 54 + 54 = 108
Those are the answers for the blanks, hope this helped! :)
Can someone help me please i really need help with this.
use the Remainder Theorem and synthetic division please
The solution for the function at the different values of x are,
f(-10) = 20001
f(2) = 49
f(3) = 214
What is a function?In mathematics, functions are often represented by equations or formulas, and take one or more input values to produce an output value. They can be used to model a wide variety of phenomena, from physical systems to economic behavior to social dynamics.
The given function is f(x) = 2x⁴ + x² - 10x + 1. The output of the function at the different values of x will be calculated as,
At x = -10,
f(x) = 2x⁴ + x² - 10x + 1
f(-10) = 2(-10)⁴ + (-10)² - 10(-10) + 1
f(-10) = 20001
At x = 2,
f(x) = 2x⁴ + x² - 10x + 1
f(2) = 2(2)⁴ + (2)² + 10(2) + 1
f(2) = 49
At x = 3,
f(x) = 2x⁴ + x² - 10x + 1
f(3) = 2(3)⁴ + (3)² + 10(2) + 1
f(3) = 214
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Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.23 ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth.
The company is searching for a fill amount of 12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given mean of 12.23 ounces and a standard deviation of 0.04 ounces.
To find the fill amount for the highest 1.5% of the fill amounts
we need to find the z-score corresponding to the 98.5th percentile
Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98.5th percentile is 1.81.
The formula for converting a z-score to a raw score is:
x = μ + zσ
where x is the raw score we want to find, μ is the mean, z is the z-score, and σ is the standard deviation.
x = 12.23 + 1.81(0.04)
x = 12.305 ounces
Therefore, the company is searching for a fill amount of 12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.
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please help, I don’t understand this but I Ukrainian girl, this is very hard
PART 1: (a)The value of x in the pie graph is x = 30°
PART 2: (a)The value of x is 36°
(c) percentage of students for soccer is 25%
PART 3: (a)The value of Art is 165°
How to complete the frequency table for a pie chart?PART 1
(a) The value of x in the pie graph can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:
x = 360 - 180 - 60 - 45 - 45 = 30°
(b) frequency = (angle of the part)/360 * 20
Baksket ball = 162/360 * 20 = 12
Bus 12
Car 4
Train 3
Walk 2
Bicycle 3
PART 2
(a) The value of x can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:
x = 360 - 150 - 45 = 36°
(b) frequency = (angle of the part)/360 * 24
Basketball = 180/360 * 24 = 9
Basketball 9
Tennis 2
Hurling 4
Soccer 5
(c) percentage of student for soccer = 5/20 * 100 = 25%
PART 3
(a) The value of Art can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:
Art = 360 - 162 - 90 - 72 = 165°
(b) frequency = (angle of the part)/360 * 120
Technology = 150/360 * 120 = 50
Technology 50
Music 15
Art 55
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ixl prediction! URGENT, PLEASE.
The expected number of not blue is 54
How to evaluate the expected number of valueFrom the question, we have the following parameters that can be used in our computation:
Spinner
Using the above as a guide, we have the following probability
P(Not Blue) = Not Blue/Total
So, we have
P(Not Blue) = 6/9
When it is spun 81 times, the expected number of times is
Times = 6/9 * 81
Evaluate
Times = 54
Hence. the number of times is 54
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