Answer:
Step-by-step explanation:
It could be
ax(x - 4)(x - 3)(x + 3) where a is some constant ( a could be 1 of course)
For a = 1 the polynomial is
x(x - 4)(x - 3)(x + 3)
In expanded form this is
x^4 - 4x^3 - 9x^2 + 36x
Please help me please
To prove ∠1 = ∠3.
What are parallel lines?Parallel lines are a grouping of two or more lines that all lie in the same plane but never cross. Both of them have the same slope and are equally spaced apart.
Numerous pairs of angles are created whenever any two parallel lines are intersected by a third line known as a transversal. The other angles are supplementary while some are congruent (equal). The parallel lines L1 and L2, which are divided by a transversal, can be seen in the following figure.
Given : [tex]l||k , m||n[/tex]
∠1= ∠2 {alternate interior angles}
∠2=∠3 {corresponding angles are equal because k is parallel to l }
Thus from the above two equations :
∠1 = ∠3
Hence, proved .
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an exam consists of 50 multiple choice questions. based on how much you studied, for any given question, you think you have a probability of 0.65 of getting the correct answer. consider the sampling distribution of the sample proportion of correct questions out of 50 questions.
The answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The four most common approaches to probability are axiomatic, classical, empirical, and subjective.So, the formula for mean calculation:
E(x) = npSo, we obtain:
E(x) = 50 × 0.64E(x) = 32The formula for standard error:
[tex]S E=\sqrt{\frac{p+(1-p)}{n}}[/tex]So, we get:
[tex]\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}[/tex]
So, the standard error is 0.068, and the mean is 32.
Given the size of the sample, a roughly normal shape can be anticipated.
In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:
[tex]z=\frac{x-\mu}{\sigma}[/tex]So, we obtain:
[tex]\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}[/tex]
Then,
P (x < 60%) = P (z < -0.588)P (x < 60%) = 0.278Consequently, the probability of receiving a score below 60% is 0.278.
Therefore, the answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.Know more about probability here:
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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)
The following table summarizes the percent of U.S. who have diabetes and the accuracy of the current medical tests used to detect the disease.
Test positive Test negative Total
Have diabetes
36.1%
1.9%
38%
Do not have diabetes 5.2%
56.8%
62%
What percent of those who do not have diabetes test negative for the disease?
O 10.9%
O 56.8%
091.6%
96.8%
The percentage of Americans who have diabetes and the reliability of the diagnostic. The percentage of those who do not have diabetes test negative is 56.8%.
Give that,
The percentage of Americans who have diabetes and the reliability of the diagnostic procedures now in use are listed in the table below.
There are 3 rows in a tables and 4 column.
1st row,
Diabetes---test positive---test negative---total
2nd row,
Have diabetes---36.1%---1.9%---38%
3rd row,
Do not have diabetes---5.2%---56.8%---62%
We have to find the percentage of those who do not have diabetes test negative for the disease.
See the 3rd row,
In that the percentage of those who do not have diabetes test negative is 56.8%.
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How to substitute
-x-3
2x+4y=14
16) Indicate whether or not 343 belongs to. each set of numbers.
rational. yes or no
irrational. yes or no
integer. yes or no
whole. yes or no
natural. yes or no
The sets that number 343 belongs to are:
Rational number: YesIrrational number: NoIntegers: YesWhole numbers: YesNatural numbers: YesWhat are rational numbers?Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number. If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number, examples are 1/3, 2/4, 1/5, 9/3, and so forth.So, 343 is:
Rational number (written in fractions): YesIrrational number (cannot be written in fractions): NoIntegers (Non-fraction, positive, negative, or zero): YesWhole numbers (Positive, negative, and zero): YesNatural numbers (0, 1, 2, 3, 4, 5.....): YesTherefore, the sets that number 343 belongs to are:
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What does N equal? 2N-7N + 4N x 9N - 14N = 250
Answer:
50
Step-by-step explanation:
in this equation you will have to add and multiply the Ns together then you will divide whatever value you get by 250
(2N-7N+4N) x (9N-14N)=250
(-1N) x (-5N)=250
5N=250
N=50
what does 10.1 times 0.31 equal
11
Mr Sykes wants to buy a calculator for every student in year 11.
There are 104) students in year(11.)
Each calculator costs £6.05
(a) Work out an estimate for the amount of money Mr Sykes will spend on calculators.
1= £6.05
The amount of money Mr.Sykes will spend on calculators is £629.2.
Given:
Total Number of students in year 11 = 104
Cost of each calculator = £6.05
Now to calculate the total cost of all the calculators we have to multiply the number of students by the cost of one calculator.
Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator
= 104 × 6.05
= £629.2
Hence, the total amount of money Mr.Sykes will spend on calculators is £629.2.
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Did I do this right?
Answer:
yes you did
Step-by-step explanation:
I hate math and my math teacher
describe how to estimate the regression function (equivalently, a,b) by the least-squares principle. notes: you only need to provide a description. this is an example of a nonlinear regression model.
The estimates are used to construct the estimated regression equation:
ŷ = b0 + b1x.
What is the estimation of the regression function?Regression analysis is typically performed for one of two reasons: to estimate the influence of some explanatory variable on the dependent variable or to predict the value of the dependent variable for individuals for whom some information about the explanatory variables is available. Y = mX + b is the equation for simple linear regression, where X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept. An estimated regression equation is created using these estimates: ŷ = b0 + b1xA straight line is a good approximation to the relationship between y and x on the graph of the estimated regression equation for simple linear regression.Therefore, the estimates are used to construct the estimated regression equation: ŷ = b0 + b1x.
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The sum of an integer and 4 times the next consecutive integer is -46. Find the value of the greater integer.
The value of the greatest integer is -9.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the sum of an integer and 4 times the next consecutive integer is -46.
Assume that the integer is x. Then, its consecutive integer will be (x + 1).
Then we can write -
x + 4(x + 1) = - 46
x + 4x + 4 = - 46
5x + 4 = - 46
5x = - 50
x = - 10
Then -
x + 1 = - 9, which is also greater than -10
Therefore, the value of the greatest integer is -9.
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-f(4) =
If g(x) = 2, x =
A mathematical connection known as a function is one in which the values of one or more independent variables determine the values of a single dependent variable. Function implies that the independent variable affects the dependent variable (s).
Explain the functions and variables in mathematics? A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.We have seen that functions can be stored in variables, and we shall investigate this further later. In JavaScript, a value called an object is a container for additional data like integers, characters, functions, and other objects.We can avoid repeatedly writing the same logic or code in a program by using functions. C functions can be called from anywhere in a program and at any number of times. When a large C program is broken up into several functions, we can simply track it.
The answer is -11
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Vegetarian burgers are sold in two different sizes.
Regular Packet
8 burgers
£1.59
Large Packet
24 burgers
£4.79
Which size packet is the better value for money?
You have been assigned to work with a partner on a word processing assignment over the weekend. You both have Microsoft Online
access. When you are finished with your section, your partner will also need add in their portion of the project. What is the most efficient
way to send the document?
Use the Share command.
Print it out.
Export to PowerPoint.
Save it as an ODT file.
what is principal will bring birr 637 interest at a rate of 7% in 2 years
Answer:
[tex]x = \frac{910000}{207} [/tex]
The values in the table represent a function.
f(x)
X
-6
7
4
3
-5
8
3
-5
-2
12
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can
be written using function notation as
f(3) is
f(x) = -5 when xis
1. (-6, 8)
(x coordinate, y coordinate)2. -2
This is the value of f(x) when x=3.3. 4
When x=4, f(x) = -5.Calculate the slope of:
(8,7) (2,7)?
Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =.
Symbol used to compare the negative two and three tenths repeating and negative eight thirds is :
negative two and three tenths > negative eight thirds.
As given in the question,
Given numbers :
Negative two and three tenths = [tex]-2\frac{3}{10}[/tex]
= -23 /10
Negative eight thirds = -8/3
To compare two numbers using symbols <, >, or = denominator should be equal
Least common multiple of 10 and 3 is 30.
(-23/10) ×(3/3) = -69/30
(-8/3)×(10/10) =-80/30
-69/30 > -80/30
⇒[tex]-2\frac{3}{10}[/tex] > -8/3
Therefore, symbol used to compare the negative two and three tenths repeating and negative eight thirds is :
negative two and three tenths > negative eight thirds.
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Situation #4
Flywithus Airlines is updating its security system at a major airport. The budget for new metal detectors is
$75,000. The airline has a maximum of 18 security guards available for each shift. There are two types of
metal detectors available. Unit A costs $5000, requires 1 security guard and can process 300 people per hour.
Unit B costs $7500, requires 2 security guards and can process 500 people per hour. Since Unit B has a better
reliability record, the purchasing agent has mandated that at least 4 units must be type B. Determine the
number of units of each type that should be purchased to maximize the number of people processed.
p. Define the variables
q. Write the constraints.
The number of units of each type that should be purchased to maximize the number of people processed is 6 unit A and 6 unit B.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
What are variables?Any mathematical object has a symbol, and that symbol is called a variable. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
Given that,
The budget for new metal detectors is $75,000.
Maximum of 18 security guards available for each shift.
Unit A costs $5000, requires 1 security guard and can process 300 people per hour.
Unit B costs $7500, requires 2 security guards and can process 500 people per hour.
Let x = unit A
Let y = unit B
N = 300x + 500y
Here, 5000x + 7500y ≤ 75000
X+2y≤ 18
y≥4
x≥0
Hence,
(0, 9) = 300(0) + 500(9)
(0, 9) = 4500
(0, 4) = 300(0) + 500(4)
(0, 4) = 2000
(9, 4) = 300(9) + 500(4)
(9, 4) = 4700
since,
(6, 6) = 300(6) + 500(6)
(6, 6) = 4800
Therefore, flywithus should buy 6 unit A and 6 unit B to maximize the number of people processed.
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what is thish divide 4 = 9
h divide by 4 = 9
Mathematically, this can be written as
h / 4 = 9
Introduce cross multiplication
h = 4 x 9
h = 36
The answer is 36
Use the following function rule to find f(-2).
f(x) = |x-10|
f(-2) =
Match the appropriate table with the corresponding equation below:
Answer choices and question included in screenshot. I need help ASAP
Table A matches with x - 3y = 13, table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2
What is Linear equation ?
Linear equation can be defined as equation in which highest degree is one.
from the given tables ,
lets first take the values,
x = 0 , y = -4
lets subsitute that in the given equation ,
x - 3y = 12
0 - 3 * -4
= 12
table A matches with equation x - 3y = 13
and subsitute x = 3 and y = - 1
2x - 3y = 9
2*3 - 3* -1
= 9
table B matches with 2x - 3y = 9
put x = -1 and y = 2
3x - y = - 5
3*-1 - 2
= -5
table C matches with 3x -y = -2
put x = -5 y = -13
3x - y = -2
3*-5 - + 13
= -2
table D matches with 3x - y = -2
Therefore, Table A matches with x - 3y = 13, table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2
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What is the length of the missing side, x?
40 in.
51°
Your answer
74°
35 in.
74°
X
49 in.
55°
Step-by-step explanation:
write the question properly
from least to greatest 0.5, 1/5, 0.35,12/25,4/5
The numbers from least to greatest in ascending order is 1/5 , 0.35 , 12/25 , 0.5 , 4/5.
The organization of numbers known as ascending order places the smallest number before the greatest.
In this manner, the numbers are listed in ascending order. The first number should ideally be lower than the second. The integers are arranged in descending order, from largest to smallest value.Find a common denominator amongst the fractions so that the numerators and denominators can be multiplied by the same amount. The fraction that is greater can then be determined by simply glancing at the numerator. Ascending order is also known as increasing order. For instance, natural numbers are organized as follows: 1, 2, 3, 4, 5, 6, 7, 8, and so on.The numbers can be written in decimals as:
0.5 , 0.2 , 0.35 , 0.48 and 0.8.
The numbers written from least to greatest in ascending order is :
0.2 < 0.35 < 0.48 < 0.5 < 0.8
Hence the numbers will be:
1/5 , 0.35 , 12/25 , 0.5 , 4/5.
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Solve: 4n² – 30n = -36. Multiple answers, if any, should be simplified and separated by a comma.
Answer:
n=3/2 and 6
Step-by-step explanation:
4n²-30n+36=0
2n²-15n+18=0
2n²-12n-3n+18=0
2n(n-6)-3(n-6)=0
(2n-3)(n-6)=0
2n-3=0 or n-6=0
n=3/2 or n= 6
factorization approach ✨
PRETTY PLEASE HELP Me! ;)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = -1x
gradient = -1
rise/run= +10-20/-10+20
= -10/10
= -1
y intercept is 0 as line is passing through 0 on y axis
For verification:
input any pair of x and y values in y = mx + b
10=-1(-10)+b
10=10+b
b= 10-10
b=0
Equation:
y = -1x
A recipe requires 2 1/2 of flour. How much flour is needed to triple the recipe?
Answer:
7.5 or 7 1/2
Step-by-step explanation:
A recipe requires 2 1/2 of flour. How much flour is needed to triple the recipe?
3 × 2 1/2 can be written as 3 × 2.5 = 7.5 or 7 1/2
25. Buses from New York City to Albany leave New
York City every hour on the hour and buses from
Albany to New York City leave Albany every
hour on the half hour. All the buses in both
directions travel on the same highway and take
exactly 3 hours to reach their destination. Buses
in both directions run 24 hours a day and every
day of the year. A bus leaving New York City
and going to Albany will pass how many buses
leaving Albany and going to New York City
along the way?
Answer:
12.
Step-by-step explanation:
During the previous 3 hours before the New York bus leaves, 6 buses would have left Albany so the New York bus will pass them on the way.
Also 6 buses will leave Albany during the three hours of travel,
Tha answer is 6 + 6 = 12.
Four students have rewritten the expression with rational exponent in radical form as shown. Which student is correct?
Sammi VE
Malik √7³
Cassie √x5
Casey √T
The expression with rational exponent in radical form as √x⁵ Cassie's expression is correct.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given that four students have rewritten the expression with rational exponent in radical form as shown.
As per Sammi's expression: VE
This is an incorrect expression
As per Malik's expression: √7³
This is an incorrect expression
As per Cassie's expression: √x⁵
This is the correct expression
As per Casey's expression: √T
This is an incorrect expression
Thus, the expression with rational exponent in radical form as √x⁵ Cassie's expression is correct.
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Someone please help!
Based on the calculations, the value of x in this geometric sequence is equal to √2
How to calculate the nth term of a geometric sequence?Mathematically, the nth term of a geometric sequence is given by this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio of this geometric sequence as follows:
r = a₂/a₁ = a₃/a₁
Substituting the given parameters into the common ratio formula, we have;
1/√X + 1 = √x - 1/1
Taking the square of both sides, we have:
1/x + 1 = x - 1/1
Cross-multiplying, we have:
(x + 1)(x - 1) = 1
x² - x + x - 1 = 1
x² - 1 = 1
x² = 1 + 1
x² = 2
x = √2
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