Answer:
Below
Step-by-step explanation:
231469.335329 to the nearest thousand. '1' is the thousand position
the '4' next to it says leave the '1' alone to get
231000 rounded to nearest thousand.
Given the function f(x) = x²-4x, evaluate f(2)
Answer:
f(2) = -4
Step-by-step explanation:
f(x) = x²-4x
f(2) = (2)²-4(2) ==> plugin 2 for x
f(2) = 4 - 4 * 2 ==> simplify
f(2) = 4 - 8
f(2) = -4
demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: y
The forecast of soccer ball demand for the month of April is 123.
What is regression?
Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable and one or more independent variables.
The main focus of regression to the mean is how data balances. In essence, it says that if a variable is extreme when measured for the first time, it will be more typical the next time.
The regression equation is Y = 98 + 2.2x, where x = 4 for April.
So the unadjusted forecast for April,
= 98 + 2.2x = 98 + (2.2 × 4) = 98 + 8.8 = 106.8
Seasonal index for April = 1.15
Adjusted forecast for April = Unadjusted forecast × seasonal index = 106.8 × 1.15 = 122.82 or rounded to 123
So the answer is 123.
Hence, the forecast of soccer ball demand for the month of April is 123.
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Complete question:
Complete question is attached below.
The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°
The temperature on the second day is 11°.
How to calculate the temperature?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Temperature is a unit used to express hotness or coldness on any of a number of scales, including Fahrenheit and Celsius. The direction that heat energy will spontaneously flow depending on temperature.
Let the temperature on the second day be x.
Based on the information, temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up.
-4 + x = 7
Collect the like terms
x = 7 + 4..
x = 11
The temperature is 11°
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The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°. What is the Temperature on tue second day?
Vinnie's Mini-Golf hosts children's birthday parties. Parents can reserve the party room for kids to eat pizza and cake after playing golf. The total price for a party with c children is 8.5c + 35 dollars. Mrs. Kim scheduled her son's party for 8 children.
What price will Mrs. Kim pay for her son's party?
Mrs Kim will pay 103 dollars for her son's party.
What is a substitution method?
The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.
Given, the total price for the party with c children = 8.5c + 35 dollars
For 8 children, c = 8 then,
Total price = 8.5*8 + 35 = 103 dollars
Hence, Mrs Kim will pay 103 dollars for her son's party.
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Draw a graph with at least 5 nodes and 15 edges.
It is possible to draw graph with 5 nodes and 15 edges.
What are nodes and edges?
Nodes are points on graph in where curves, lines or scatters are met.
Edges are curves, lines or arcs presented on the graph connected by one or more nodes.
How to draw graph with nodes and edges?So as to draw graph using nodes and edges, we have to follow a formula that allow us about how many nodes and edges can be used at a time.
If we have N nodes, then we have N-1 edges available connect directly to other nodes. Therefore, maximum number of edges available in such case for connecting directly or indirectly to the nodes is calculated by the formula below.
Maximum number of edges =N×(N-1), when we have N nodes.
in the question, we are said to draw graph with 5 nodes and 15 edges.
we have maximum number of edges = 5×(5-1) = 20 edges
hence, it is possible to draw graph with 5 nodes and 15 edges.
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farrow co. expects to sell 150,000 units of its product in the next period with the following results.
Farrow co has to accept the offer.
Given that,
In the upcoming time frame, Farrow Co. anticipates selling 150,000 pieces of its product, with the following outcomes.
The calculation of the total combined net income is displayed below:
Normal Volume Additional Volume Total
Sales $2,250,000 $180,000 $2,430,000
(15,000 × $12)
Costs and expenses:
Direct materials $300,000 $30,000 $330,000
Direct labor $600,000 $60,000 $660,000
Overhead $150,000 $22,500 $172,500
($150,000 × 15%)
Selling expenses $225,000 $225,000
Administrative expenses $385,500 $64,500 $450,000
Total costs and expenses $1,660,500 $177,000 $1,837,500
Incremental income (loss) from new business $589,500 $3,000 $592,500
Therefore, the company should accept the offer
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what’s 3.78153 rounded?
1600 people had visited his website by 13:30.
A total of 15,000 people had visited his website by 19:45.
Calculate the number of visits per hour that Jack's website received
between 13:30 and 19:45.
Answer:
2,144
Step-by-step explanation:
[tex]\frac{15000 - 1600}{6.25}[/tex] The number of visitors during the time period divided by the total hours.
2,144
The wholesale price for a shirt is 5.50. A certain department store marks up the wholesale price by 90%. Find the price of the shirt in the department store.
Round your answer to the nearest cent, as necessary.
The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is $10.45.
What is the Wholesale price?The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.
Given:
The wholesale price for a shirt is $5.50,
The markup price = 90%
Calculate the markup price as shown below,
The markup price = 90% of $5.50
The markup price = 90 / 100 × 5.50
The markup price = $4.95
Calculate the price of the shirt as shown below,
The price of a shirt = The markup price + The wholesale price of the shirt
The price of a shirt = $5.50 + $4.95
The price of a shirt = $10.45
Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is $10.45.
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Suppose that f(3)=2 and g(-2)=6 explain how f(x) and g(x) cannot be inverse funtions of one another
If f{g(x)} = g(x) and g{f(x)} = f(x)
That means they cannot be inverse functions of one another.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given that f(3) = 2 and g(-2) = 6.
From the expression, f⁻¹(2) = 3 and g⁻¹(6) = -2
So now we take the composition,
f{g(-2)} = f (6) = y (let)
Then f⁻¹(y) = 6 = g (-2) , which is given.
Now, f{g(-2)} = g (-2).
And similarly g{f(3)} = g (2) = k (let)
g⁻¹(k) = 2 = f (3)
Now, g{f(3)} = f (3)
Therefore, if f{g(x)} = g(x) and g{f(x)} = f(x)
That means they cannot be inverse functions of one another.
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What is the value of |โ32|?
The value of |-32| is 32.
|−32| is the absolute value or modulus of −32 . Absolute value or modulus of a real number is always positive i.e. without its sign (i.e. negative or positive) and in value is equal to just physical value of the number under consideration. So |−32|=32 .
Modulus
The meaning of MODULUS is the factor by which a logarithm of a number to one base is multiplied to obtain the logarithm of the number to a new base.
A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables.
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The matrices below show how many juniors and seniors at Phoenix High School participated in various programs. They participated as an Office Aide (O), a Media Aide (M), and in Work Based Learning Program (W), over a three-year period. Which of the programs has had the most students in it over the ? How many did it have?
the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating
Junior Year Senior Year
O 3 7
M 4 6
W 5 4
The program with the most students over the three-year period is the Office Aide program, with a total of 10 students participating.
1. We can start by looking at the matrices to see how many students participated in each program.
2. For the Office Aide program, there were 3 juniors and 7 seniors, for a total of 10 students.
3. For the Media Aide program, there were 4 juniors and 6 seniors, for a total of 10 students.
4. For the Work Based Learning Program, there were 5 juniors and 4 seniors, for a total of 9 students.
5. Therefore, the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating.
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Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt. Select the correct answer below:
a.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, 65% will graduate with debt.
b.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, more or less than 65% of college students will graduate with debt.
c.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, 65% of college students really will graduate with debt.
d.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, greater than or less than 65% of college students will graduate with debt.
Since type I error is to reject the null hypothesis when null is true that's why the Correct option is C.
The researchers believe that more than or less than 65% of college students will graduate with debt, when in fact, 65% will.
The null hypothesis is true if the experimental result matches the predicted theoretical result. The null hypothesis is disproved and we examine an alternative one if there are any variations in the observed parameters between the samples. The null hypothesis was rejected, which opens the door for additional study but does not imply that the first experimentation was flawed. Usually, the null hypothesis is used to gauge the strength of the evidence.
Hence we get the required answer and the correct option is c.
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The variable p varies inversely as the square of q. When p = 36, q = 25.
When p = 4, q=
When q = 10, p =
Answer:
p=4: q = 75q=10: p = 225Step-by-step explanation:
You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.
VariationA formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.
Since p varies inversely as the square of q, the formula can be written as ...
[tex]p=\dfrac{k}{q^2}[/tex]
Multiplying by q² gives us a way to find the value of k from known values of p and q:
k = p·q²
k = 36·25² = 22500 . . . . . . using the given values of p and q
We can also rearrange the formula to give q as a function of p:
q = √(k/p)
Table of valuesWe are interested in q for p=4, and in p for q=10.
q = √(22500/4) = 75
p = 22500/10² = 225
When p=4, q = 75When q=10, p = 225explain your answer both algebraically and graphically
(1 , -5) satisfy the inequality y ≤ 3x + 2 but not to y > –2x – 3
According to the question,
It is Given : y ≤ 3x + 2
y > –2x – 3
We have to find the relationship between the point (1, –5) and the given system of inequalities.
Substituting the point (1,5) in our inequality y ≤ 3x + 2
=> x = 1
=> y ≤ 3(1) + 2
=> y ≤ 5
=> - 5 ≤ 5
Which is true
Hence point (1, –5) satisfy y ≤ 3x + 2
Substituting the point (1,5) in our inequality y > –2x – 3
x = 1
=> y > -2(1) - 3
=> y > - 5
but - 5 = -5
Hence point (1, –5) does not satisfy y > –2x – 3
I've answered the question in general as the given question is incomplete
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Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Which of the following is a polynomial ? (a) 1/x+1 (b) 1/√x+1 (c) 1/x²+x+1 (d) x³+1
Answer:
Before you get into classifying polynomials, let’s define what polynomials are!
Polynomials are a specific type of mathematical expression that has all of the following:
One or more terms
Variables with only positive whole-number exponents
No variables in the denominators of any term
So, let's discuss the questions:
A)1/x+1 is not a polynomial
B)1/√x+1 is not a polynomial
C)1/x²+x+1 is not a polynomial
D) x^3+1 is a polynomial bc it has positive whole number exponent, their no variables in the denominators and its more than 1 terms
Step-by-step explanation:
hope this helps <3
A political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. At the end of the questionnaire is an (optional) invitation to donate money to the organization. Which of the following statements about this survey is true?
A) The survey results are invalid because it’s impossible to word questions about politics without creating bias.
B) The survey results are invalid because only surveys conducted by phone are free from bias.
C) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money.
D) The survey results will overestimate support for this political action committee in the entire population because people more likely to respond if they are prepared to donate money.
E) Since the survey was sent to randomly-selected households, it should be free of bias.
(c) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that askes for money.
What is politics?
Politics is a category of activities that are related to group decision-making or other types of power dynamics between people, such as the allocation of resources or status. Political science is the name of the area of social science that focuses on politics and governance.
EXPLANATION: This type of sampling will yield biased result, because in addition to asking to reply for the survey queries regarding importance of a variety of economic and social issues facing the country, at the end request for donation.
(c) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that askes for money
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suppose you calculate a 95% confidence interval for a proportion to to be: 0.17 to 0.97. determine the margin of error
The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.
An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.
Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,
[tex]\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}[/tex]
The answer is 0.4.
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a large airline randomly selected 7 tickets to discount one day. use the data from these tickets to answer the questions.
The answers to the two substituent questions are explained and given below. Options 3 and 4 are the correct answers for part A of this question and options third, fourth, fifth, and sixth are the answers for part B.
We have been asked about qualitative and quantitative variables here. Qualitative variables are those that are not defined using numbers but words. They are described by the name of whatever category they belong to. On the other hand, quantitative variables are denoted and described using numbers.
In the given question, first, we are asked what the quantitative variables are. They are # of carry-on bags and # check-in bags. So, options 3 and 4 are the correct answers for part A of this question. Then, we are asked about the qualitative variables which are gender, age, traveling to and traveling from. So, options third, fourth, fifth, and sixth are the answers for part B.
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Chris and Layla bought new fish for their home aquariums. Chris bought 4 guppies and 3 platys for a total of $25.80. Layla bought 4 guppies and 2 platys for a total of $22.92. Find the price of a guppy and the price of a platy.
Solving system of equations we get price of the guppy is $4.29 and platy is $ 2.88.
How to Find the price of a guppy and the price of a platy ?A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.Let
price of guppie = x
price of platy = y.
Chris bought 4 guppies and 3 platys for a total of $25.80.
i. e.
4x + 3y = 25.80-----------1
Layla bought 4 guppies and 2 platys for a total of $22.92.
4x + 2y = 22.92-----------------2
equation 1 - 2
then we get
y = 2.88
put y = 2.88 in to equation 1
4x + 3 ( 2.88) = 25.80
then we get
X = 4.29
price of the guppy is $4.29.
price of the platy is $ 2.88.
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Two mobile phone companies have different data rates. Company A has a rate of
$100 for unlimited data, and Company B has a flat fee of $20 plus $5 per gigabyte of data. The point of intersection between these two linear relations is (16, 100).
What does this point of intersection represent?
a) Both phone companies would charge $16 per gigabyte used with a bill of $100.
b) Both phone companies would charge $100 if the customer used 16 gigabytes of data.
c) Both companies would charge $100 with a flat fee of $16.
d) Both companies would charge $16 per gigabyte if the customer used 100 gigabytes.
Explanation:
x = number of gigabytes of data used
y = total price
Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.
Meanwhile, company B has the equation y = 5x+20
The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.
If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.
This means x = 16 and y = 100 pair up together.
It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.
This points us to choice B as the final answer.
8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?
Se tiene que f varía directamente con j
Si f=27 cuando j=9
Calcule el valor de j cuando f=9
Using direct variation, the value of j when f equals 9 is 3
VariationsA variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
In the question given, we have f varying directly with j
f ∝ j
f = k j
k = f / j
f₁ / j₁ = f₂ / j₂
Substituting the values into the equation;
27 / 9 = 9 / j₂
j₂ = 9 * 9 / 27
j₂ = 81 / 27
j₂ = 3
The value of j₂ = 3
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Translation: We have that f varies directly with j, if f = 27 when j = 9. Calculate the value of j when f = 9
The angle
θ
1
θ
1
theta, start subscript, 1, end subscript is located in Quadrant
II
IIstart text, I, I, end text, and
sin
(
θ
1
)
=
9
41
sin(θ
1
)=
41
9
sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of
cos
(
θ
1
)
cos(θ
1
)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Express your answer exactly.
cos
(
θ
1
)
=
cos(θ
1
)=
The value of cosθ₁ is -40/41 when angle θ₁ is located in quadrant II and sinθ₁=9/41.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that angle θ₁ is located in quadrant II and sinθ₁=9/41.
We need to find the value of cosθ₁.
We know that sinθ is opposite side/hypotenuse .
opposite side=9 and hypotenuse is 41.
By pythagoras theorem we find the adjacent side.
41²=9²+x²
41²-9²=x²
1681-81=x²
Taking square root on both sides
x=40
So adjacent side is 40.
cosθ₁=Adj/hyp
=40/41
Since it is in second quadrant the value of cosθ₁ will be -40/41.
Hence, angle θ₁ is located in quadrant II and sinθ₁=9/41 then value of cosθ₁ is -40/41.
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PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet 80 Points PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet 80 POINTS 90 POINTS
Answer:
A.
Step-by-step explanation:
x^2+11x+28
first get the product and sum by using
a=1
b=11
c=28
and then
p=a multiplied by c
b=11
p=28
s=11
find any number that can be multiplied by
7&4 are the numbers
(x^2+7x)+(4x+28)
x(x+7)+4(x+4)
(x+7)(x+4)
Find the vector of length 2 making an angle of 60∘ with the -axis. Round to 6 decimals places or give an exact answer in terms of sine and cosine.
Hence, the vectors of the length [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis is [tex]P= < -\sqrt2,-1 >[/tex].
What are vectors?
A vector is a Latin word that means carrier. Vectors carry a point [tex]A[/tex] to point [tex]B[/tex]. The length of the line between the two points [tex]A[/tex] and [tex]B[/tex] is called the magnitude of the vector and the direction of the displacement of point [tex]A[/tex] to point [tex]B[/tex] is called the direction of the vector [tex]AB[/tex].
Here given that,
The vector of length [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis.
Given length is [tex]||P||=2[/tex]
[tex]P=||P|| < cos\theta,sin\theta > \\\\P=2 < cos(210),sin(210) > \\\\P=2 < \frac{-\sqrt3}{2},\frac{-1}{2} > \\\\P= < 2(-\frac{\sqrt3}{2}),2(-\frac{1}{2}) > \\\\P= < -\sqrt2,-1 >[/tex]
Hence, the vectors of the length [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis is [tex]P= < -\sqrt2,-1 >[/tex].
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Write and linear function f with f(0)=2 and f(5)=-3
Answer:
f(x) = -x + 2-----------------------------------
Slope-intercept form of a line:
f(x) = mx + b, where m-slope, b- y-interceptThe line has points:
(0, 2) and (5, - 3)The first point represents the y-intercept, b = 2.
The slope is:
m = (- 3 - 2)/(5 - 0) = - 5/5 = - 1The line is:
f(x) = - x + 2Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
The sigma notation is:
Σ (6 to k=1) k²
Given:
The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.
Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.
use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
⇒ 1+4+9+16+25+36
⇒ 1² + 2² + 3² + 4² + 5² + 6²
⇒ Σ (6 to k=1) k²
Hence we get the required answer.
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The probability that a store sells all of their
ground hamburger for the week is 0.75. The
probability that the store sells all of it's steak for
the week is 0.68. The probability that the stores
sells all of both of the meats for the week is 0.62.
Given this information, are events A and B
dependent or independent?
Events A and B dependent as occurrence of one event does not affect the chances of the occurrence of the other event.
What is Probability?Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
Since we have given that;
A be the event that a store sells all of their ground hamburger for the week
P(A)=0.75
B be the event that that the store sells all of it's steak for the week is
P(B)=0.68
The probability that the store sells all of both of the meats for the week is 0.62.
P(A|B)=0.62
but for A and B to be independent ,
P(A).P(B)= P(A and B)
0.75×0.68=0.51
but,
[tex]P(A|B) = \frac{P(AnB)}{P(B)}[/tex]
P(AnB) = 0.62 x 0.68
P(AnB) = 0.4216
So, P(A∩B) does not satisfy the condition.
Hence, A and B are not independent events.
Learn more about probability here: brainly.com/question/13604758
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