The sampling distribution model for figuring out how many people in this group might not pay on time is:
E. mean = 8%; standard deviation = 1.1%.
Sampling Distribution Model MeanThe steps to determine the mean and standard deviation of the sampling distribution of the proportion of clients who may not make timely payments would be:
Start with the idea that 8% of the loans will have payments that are late. So the percentage of people who pay late is p = 0.08.
Calculate the sample size, which is given as n = 600.
Determine the mean of the sampling distribution. The mean of the sampling distribution of the proportion of late payments is equal to the population proportion, which is 0.08.
Find the standard deviation of the distribution of the samples. The standard deviation is discovered by taking the square root of the commodity of the sample size and the percentage of late payments in the whole population (1 - percentage of late payments in the whole population) and dividing it by the sample size:
σ = √( (p * (1-p)) / n )
Substituting the values for p and n, we get:σ = √( (0.08 * 0.92) / 600 ) ≈ 0.011
So the standard deviation of the sampling distribution is approximately 0.011, or 1.1%.So, the answer will be option E. mean = 8%; standard deviation = 1.1%.
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Determina los puntos de intercepción con el eje x de la gráfica de y=x2-81
a.
x=9, x=-9
b.
x=1, x=-1
c.
x=8, x=-8
d.
No hay intersección con los ejes
The x-intercept of the function is given by x=±9
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The function y=x²-81
To find x-intercepts of the functions we set y=0
Thus y=x²-81
x²-81=0
x=√81
x=±9
Hence, The x-intercept of the function is given by x=±9
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How many pounds in 85 kilos?
There are 187.425 pounds in 85 kilograms. The solution has been obtained by using the unit conversion.
What is unit conversion?
The same feature is expressed in a different unit of measurement using a unit conversion. For instance, you may represent time in minutes rather than hours or distance in feet rather than miles. It happens frequently when measurements are given in one set of units, like feet, but are demanded in another set, like chains.
We are given 85 kilograms which are to be converted into pounds.
We know that 1 kilogram = 2.205 pounds(approx)
So,
⇒85 kilograms = 85 * 2.205
⇒85 kilograms = 187.425 pounds
Hence, there are 187.425 pounds in 85 kilograms.
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Given the ratio for csc , find the remaining
ratios.
The remaining ratios for the angle are:
sin θ = 2/√7
cos θ = √3 /√7
tan θ = 2/√3
sec θ = √7 /√3
cot θ = √3 /2
How to find the remaining ratios?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Trigonometry is used to determine the lengths of the sides of a triangle when one or more angles and/or the lengths of one or more sides are known.
The remaining ratios are as follows
csc θ = √7 /2
Since sin θ = 1/cscθ
sin θ = 2/√7
Remember: sin θ= opposite/hypotenuse = 2/(√7)
adjacent = √((√7)² - 2²) = √3
cos θ = √3 /√7 (adjacent/hypotenuse)
tan θ = 2/√3 (opposite/adjacent)
sec θ = 1/cos θ
sec θ = √7 /√3
cot θ = 1/tan θ
cot θ = √3 /2
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When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.
two eighths
six eighths
two sevenths
six sevenths
The probability of randomly drawing a vowel is 2/7, option C is correct.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.
Given a set of cards spell P, E, R, C, E, N, T, S
total cards = 8
so total outcome = 8
to find the probability of randomly drawing a vowel,
set contains 2 vowels,
a favorable outcome for vowel = 2
probability = favorable outcome/total outcome
P(vowel) = 2/7
Hence option C is correct.
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which scale is based on tenths and hundredths of an inch?
The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes.
The formula for a decimal inch is 1 inch = 0.1 decimal inch. This means that every 0.1 decimal inch is equal to 1 inch. To calculate a decimal inch, simply divide the number of inches by 10. The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes. For example, if you have a measurement of 6 inches, the decimal inch measurement would be 0.6. You can also convert decimal inches to inches by multiplying the decimal number by 10. For example, if you have a measurement of 0.6 decimal inches, the inch measurement would be 6 inches.
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After it has been harvested, corn stored at a particular temperature will lose market value at a rate of 7% per day. If a corn harvest with 92389 is being stored at the temperature, what will it’s market value be
in 5 days?
Corn's market value in 5 days will be 64273.95.
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
The form of the general exponential decay is:
f(x) = A*(r)ˣ
r is rate
A=initial value
Exponential decay:
y=a(1-r)ᵗ
a= initial value, r in decimal = 0.07, t = 5 days
y= 92389 (1-0.07)⁵
y= 92389(0.93)⁵
y= 64273.95
Corn's market value in 5 days will be 64273.95
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Solve equation by factor
The solution to the equation are k = 2 or k = -3.5
How to Solve equation by factorFrom the question, we have the following parameters that can be used in our computation:
2k^2 - 14 = -3k
Express properly
So, we have the following representation
2k^2 + 3k - 14 = 0
Expand the equation
2k^2 + 7k - 4k - 14 = 0
So, we have
k(2k + 7) - 2(2k + 7) = 0
This gives
k - 2 = 0 or 2k + 7 = 0
Evaluate
k = 2 or k = -3.5
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Help Please!! thanksssss
The volume of the given object would be the addition of the volume of the cone and the volume of the rectangular prism = 3,648 in³.
How to calculate the volume of the object?The volume of cone = v = πr²h/3
where π = 3
r = 8/2 = 4ft
h = 12ft
Volume = 3× 4² × 12/3
= 576/3 = 192ft³
The volume of the rectangular prism = l×w×h
where;
l = 7ft
w = 2ft
h = 8ft
volume = 7×2×8 = 112ft³
Therefore the volume of the object = 192+112 = 304ft³
To convert to inches the following is carried out;
1 ft = 12 inches
304 ft = 304× 12 = 3,648 in³
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lesson 2 (1) let p (x) : x2 ≤ 4. the domain for x is all positive integers (1, 2, 3, . . .). determine the truth values of the following propositions. (a) p (5) (b) ¬∀x p (x)
The truth value of a is False and after seeing the result of 1st statement b is true.
A mathematical statement like "3 is bigger than 4," "an infinite set exists," or "7 is prime" is referred to as a proposition.
A statement that is presumptively true is known as an axiom. Although there are several exceptions, mathematical logic can typically classify a claim as true or false given enough information (e.g., "This statement is false").
let p(x):x^2<=4
the domain for x is all positive integers (1, 2, 3, . . .).
(a) p(5)
p(5):25 not equal or less than 4
hence the truth value of a is False
(b) negation for x;p(x)
after seeing the result of 1st statement b is true.
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solve the given initial-value problem. (6y 2t − 9) dt (8y 6t − 1) dy = 0, y(−1) = 2
The solution for the given initial-value is 6ty + t² - 9t + 4y² - y = 12
What is the initial value problem?An initial value problem is a differential equation that is accompanied by an initial condition that specifies the value of one or more variables at a particular time or at a particular point in space. The initial value problem is to find the solution of the differential equation that satisfies the given initial condition. The solution of the initial value problem describes the behavior of the system over time or as a function of space based on the given initial conditions.
The given initial value problem is a non-linear ordinary differential equation and can be solved using numerical methods such as Runge-Kutta methods or numerical integration.
The solution to the initial value problem gives the function y(t) that satisfies the differential equation and the initial condition y(-1) = 2.
Given that
(6y + 2t − 9)dt = (8y 6t − 1)dy = 0
and y = -2
As both = 0 then (6y + 2t − 9)dt = (8y + 6t − 1)dy
that is
(6(-2) + 2t − 9)dt = (8(-2) + 6t − 1)d(-2)
−21dt + 2dt² = 34d−12dt
2dt² − 9dt - 34d
d(2t² −9t−34)
Integration both sides
6ty + t² - 9t + 4y² - y = c
Using y(-1) = 2
-12 + 1 + 9 + 16 - 2 = c
c = 12
Thus, the solution for the given initial-value is 6ty + t² - 9t + 4y² - y -12 = 0
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Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. [2 -1 -4 2 6 -3] x = x_2 + X_3 (Type an integer or fraction for each matrix element.)
A general solution to the system Ax = 0 in parametric vector form is given by:
X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]
How to find all solutions of Ax = 0 in parametric vector form?The matrix [2 -1 -4 2 6 -3] can be row-reduced to the row-echelon form [2 -1 -4 0 6 -9], which has a pivot in the first, second and fourth columns. This implies that the columns with zero entries in the row-echelon form correspond to free variables in the solution.
Since there are two free variables in the row-echelon form, the solution to the homogeneous linear system Ax = 0 will be in the form of a parametric vector, where X_2 and X_3 are the free variables and X_1, X_4, and X_5 are expressed in terms of X_2 and X_3.
A general solution to the system Ax = 0 in parametric vector form is given by:
X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]
where X_2 and X_3 are arbitrary constants. This represents a two-dimensional subspace in R^5, which consists of all linear combinations of the two linearly independent vectors [1 0 1 0 0] and [0 1 0 1 0].
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Jimmy begins at the house. He walks to the horse barn. Then he walks 3 units up and 4 units right before returning back to the house. List the ordered pairs of the places jimmy visits in he order he visits them
There are 3 ordered pairs of the places jimmy visits in the order he visits them.
An ordered pair is a pair that is formed by two elements and are separated by a comma and written inside the parenthesis.
An example of ordered pair is (x,y).
where x is called the first element and y is called the second element of the ordered pair.
If we consider 2 order pairs the first-order pair is not equal to the second-order pair.
Example: (x,y) [tex]\neq[/tex] (y,x)
Now as per the diagram, jimmy has started at home next he walks to the horse which is the intersection of (1,1) points.
After then he walks 3 units up which is (1,3) which reaches the horse barn from that point he is supposed to move 4 units right and reached (5,6) At the Storage barn.
so the order pairs are:
(1,1) - At the house
(1,3) - At the horse barn
(5,6) - At the Storage barn
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Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
Answer:
A
Step-by-step explanation:
As x gets larger, the y-values became more and more negative. This means that as x approach infinity, y approaches negative infinity.
On the other side, as x gets smaller, the y-value also gets more and more negative. This means as x approaches negative infinity, y also approaches negative infinity.
This is shown in answer option A.
How do I endorse a check for deposit?
Just put your name on the check's back to complete a blank endorsement. The teller at the bank will ask if you want to cash it or deposit it after you arrive.
Explain about the endorse a check for deposit?The three types of endorsements available for checks are blank, special, and restriction. When the payee signs their name on the check's top back, it becomes a blank endorsement.
To accomplish this, you just sign the check on the back and inform the bank teller whether you want to deposit it into a certain account or cash it. When depositing a check using mobile deposit or an ATM, a blank endorsement is also acceptable.
To be accepted for deposit, a check needs to have an endorsement on the back. Therefore, always add your signature to the document right before bringing it to the bank in the place provided next to the X.
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the scatter plot shows hikers elevation above sea level during a hike from the base of the top of a mountain equation of a trend line for the hikers elevation is Y = 8.16 X + 695 where X represents the number of minutes and Y represents the hikers of elevation and feet use the equation of the trend line to estimate the hikers the elevation after 150 minutes
The equation of the trend line to estimate the hiker's elevation after 165 minutes is 2291.3 feet.
What is linear equation ?
Linear equation can be defined as equation in which highest degree is one.
Given that,
The equation of a trend line for the hiker's elevation is y = 9.82x + 671.
We have to determine,
The equation of the trend line to estimate the hiker's elevation after 165 minutes.
According to the question,
The equation of a trend line for the hiker's elevation is y = 9.82x + 671.
Where, x represents the number of minutes and y represents the hiker's elevation in feet.
To find the trend line to estimate the hiker's elevation after 165 minutes, substitute the value of x = 165 minute in the given equation.
Hence, The equation of the trend line to estimate the hiker's elevation after 165 minutes is 2291.3 feet.
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Gabby uses a scissor to cut `\frac{5}{16}` inch off the top of a photo and `\frac{3}{8}` inch off the bottom. How much shorter is the total height of the photo now? Explain.
The length of the photo is shorter by 11/16 inches.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Top cutoff length = 5/16 inch
Bottom cutoff length = 3/8 inch
Now,
The length of the photo is shorter by:
= 5/16 + 3/8
= (5 + 6) / 16
= 11/16 inch
Thus,
The photo is shorter by 11/16 inches.
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The sum of 2 and y translate phrase into an algebraic question
The algebraic expression is 2 + y.
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,
Sum of 2 and y
This can be written as,
2 + y
Thus,
The expression is 2 + y.
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determine whether the following sets are subspaces of r3 under the operations of addition and scalar multiplication defined on r3. justify your answers.
Using Scalar multiplication, If all the conditions are satisfied, then the set is a subspace of R³
Scalar multiplication is what?The result of multiplying a real number by a matrix is known as a scalar multiplication. Each entry of the matrix is multiplied by the specified scalar in scalar multiplication.
The following requirements must be met in order to establish whether a set is a subspace of R3 under addition and scalar multiplication:
Closure under addition: If elements u and v are present, then u plus v must also be present.
If u is a member of the set and k is any scalar, then ku must likewise be a member of the set. Closure under scalar multiplication.
The zero vector is contained in: The set must contain the zero vector (0, 0, 0).
includes all negative vectors; if u is in the set, then -u must also be.
These conditions must be checked for each set, and your response must be supported.
The set is a subspace of R³ if all the conditions are met.
The set is not a subspace of R³ if any of the requirements are not met.
Consequently, the set is a subspace of R³ if all of the conditions are met.
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Complete question -
suppose that [infinity] ∑ n = 0 c n 1 = 9 . find the exact value of c . enter your answer as a fraction, not a decimal.
Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.
The given equation is ∑ n = 0 c n 1 = 9. This means that the sum of all of the terms beginning at n = 0 and continuing for infinity is equal to 9. Therefore, the exact value of c must be equal to 9/1. In other words, c must have a value of 9 in order for the given equation to be true. As such, the exact value of c is 9/1. Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.
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round answers to the nearest tenth
A. the value of x = 6.5( nearest tenth)
B. the value of x = 8.0 ( nearest tenth)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Sin(tetha) = opp/hypotenuse
cos (tetha) = adj/hyp
tan (tetha) = opp/adj
in the first figure,
Tan22 = x/16
x =tan 22 × 16
x = 6.5(nearest tenth)
in the second figure,
sin42 =x/12
x = sin42× 12
x = 8.0 ( nearest tenth)
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a dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 ∘ west of north. how far must the dog then run to end up 10.0 m south of her original starting point
A dog in an open field runs 12.0 m east and then 29.0 m in a direction 51.0 west of north, 69.50 south of east or 20.50 east of south must the dog then run to end up 10.0m south of her original starting point.
A dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 degree west of north.
The dog's displacement vector is d(1) = [tex]12 \hat{i} + 29 [-sin51^{o} \hat{i} + cos51^{o} \hat{j}][/tex]
Thus, d(1) = [tex]12 \hat{i} + (-22.5 ) \hat{i} + (18.2) \hat{j}[/tex]
d(1) = [tex]-10.5 \hat{i} + 18.2 \hat{j}[/tex]
The dog's overall displacement is then
P = -10[tex]\hat{j}[/tex] - d(1)
P = [tex]-10 \hat{j} - [-10.5 \hat{i} + 18.2 \hat{j}][/tex]
P = [tex]10.5 \hat{i} - 28.2 \hat{j}[/tex]
The dog's direction is
θ = [tex]tan^{-1}[/tex][(28.2/10.5)]
θ = 69.50 south of east or 20.50 east of south
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Conider the table created with Fahrenheit and Celiu temperature. Table A repreent the function that model Celiu temperature, C(F), baed on the given Fahrenheit temperature, F
By applying inverse function concept, it can be concluded that the table that could be used to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F) is option A:
C -20 -15 -5
F(C) -5 4 23
An inverse function can be defined as a type of function that is obtained by inverting (undoing) the operation of the given function f(x).
In Mathematics, if f(x) is a given function, its inverse function has the following property f⁻¹(f(x)) = x.
We already have this table:
F -4 5 23
C(F) 20 -15 -5
By applying the concept of inverse function, we can form a new table to represent the inversion function of the above table:
C 20 -15 -5
F(C) -4 5 23
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Full question attached.
18 is the quotient of a number and 6. What is the number
If 18 is the quotient of a number and 6, the value of the unknown number is 108.
What is the unknown number?Given the statement in the question;
18 is the quotient of a number and 6
Let the unknown number be represented by 'x'.
The quotient of a number and 6 the same as x / 6
Hence
18 = x / 6
Solve for x
Cross multiply the equation
18 × 6 = x
x = 18 × 6
Multiply 18 and 6
x = 108
Therefore, the value of x is 108.
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What is a compound angle
A simple random sample of items resulted in a sample mean of. The population standard deviation is.
Answer: n/a
Step-by-step explanation:
there are no numerical values given to derive an answer from.
to find the mean, take the sum of all numbers and divide it by the number of added numbers.
for the standard deviation, subtract every data point from the mean and square it. add all of those together and divide it by the number of data points. then find the square root of that number
what is the answer for this maths watch question?
Answer: 7
Step-by-step explanation:
Combine like terms
7^15/7/^14 = 7
I NEED HELP WITH 2 QUESTIONS WILL MARK THE MOST BRAINLIEST IF CORRECT!
Answer:
-1, 6
0, -3
1, -3.9
2, -3.99
f(x) = 5^2x+1
Step-by-step explanation:
for the first question, after plugging in the values of x, we get our answer to be the 2nd table
-1, 6
0, -3
1, -3.9
2, -3.99
for the second question
f(x) = 5^2x+1
after graphing, we can see it never passes x = 2
Which products result in a difference of squares or a perfect square trinomial? check all that apply.
The products that result in a difference of squares or a perfect square trinomial are Quadratic Equations, Perfect Square Binomials, and Difference of Squares. Difference of Cubes is incorrect.
Those apply:
A. Quadratic EquationsC. Perfect Square BinomialsD. Difference of SquaresQuadratic equations are equations that can be written in the form of ax² + bx + c = 0, where a, b, and c are constants and x is a variable. Perfect square binomials are expressions of the form (x + y)², where x and y are constants.Difference of squares is an expression of the form x² - y², where x and y are constants.All three of these products can be used to solve a variety of problems involving algebraic equations.
The task:
Which products result in a difference of squares or a perfect square trinomial?
Check all that apply:
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Try again
A party rental company ha chair and table for rent. The total cot to rent 5 chair 3 and table i 36$. The total cot to rent 2 chair and 6 table i 54$. What i the cot to rent each chair and table?
The cost to rent each chair and table is $7.2 and $6.6 respectively.
What are Simultaneous Equations?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables that satisfies all such equations. This implies that the simultaneous equations have a common solution.
Let chairs = c
Let tables = t
5c + 3t = 36 --- 1
2c + 6t = 54 --- 2
From equation 2
2c + 6t = 54
c = 27 - 3t
Substitute c in equation 1
5(27 - 3t) = 36
135 - 15t = 36
135 - 36 = 15t
t = 99/15
t = $6.6
c = 27 - 3(6.6)
c = 27 - 19.8
c = $7.2
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Find the length of side x in simplest radical form with a rational denominator. Please help me w this!
The length of side x obtained using trigonometric ratios is 5 units
What are trigonometric ratios?Trigonometric ratios are expressions that indicate the relationship between the lengths of two of the sides of a right triangle and the interior angles of the right triangle.
The specified triangle is a right triangle, therefore, if the interior angles, and the length of one of the sides is known, the lengths of the other sides can be found.
The right triangle is a 30°-60°-90° right triangle
The length of the hypotenuse side = 10
The length of the leg with measurement x, can therefore, be found using trigonometric ratios follows;
sin(θ) = Opposite/Hypotenuse
sin(30°) = x/10
Therefore; x = 10 × sin(30°)
x = 10 × 0.5 = 5
The length of the side x in the right triangle is 5 units
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