The correct answer is the error made by the students of statistics is of Type 1 error.
As the question states that,
The news article that claim the number of student who believes that their online courses are as good as or superior to traditional face-to-face instruction = 90%.
The two types of error known are:
Type I error : Reject the null hypothesis when the null hypothesis is true.
Type II error : Fail to reject the null hypothesis, when the null hypothesis is NOT true.
From the question,
The hypothesis that the student test is H₀ : p = 0.90, Hₐ : p < 0.90 .
Here, p<0.90 means that College student disagree with the statement.
The student had rejected the null hypothesis,
and concluded that p < 0.90 , when in fact the null hypothesis is true .
The correct answer is Type 1 error.
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Why does AAS congruence work?
According to the Angle-Angle-Side Postulate (AAS), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle. AAS congruence can be demonstrated with a few simple methods.
Triangles can be proved to be congruent using the methods SSS, SAS, ASA, and AAS, but SSA and AAA are invalid and cannot be utilized. The angle-angle-side theorem, or AAS, was discussed here. According to this theorem, triangles are congruent if two angles and any side of one triangle are congruent with two angles and any side of another triangle. An extension of angle-side-angle, or ASA, is this theorem.
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What is the formula of inverse proportion?
Inverse proportion is expressed by the equation x y = k or x = k/y. As a result, you can utilize the known values to get the constant k's value before applying this formula to determine all the other values.
Define the term inverse proportion?A statement describing the relationship between two variables or variables is known as a percentage. Such variables can be either directly proportional or inversely proportional, and both types are possible.It is inversely proportionate if one rises while the other falls.Inverse Proportional Method Solutions
Method 1: X1 Y1 = X2 Y2 is an inverse proportion.As one pair is always given, we may employ the equation to discover the unknown terms and so solve the problem.
Method 2: We also know that the equation x + y = k turns x = k/y in an inverse proportion. Therefore, with the aid of the aforementioned, we may use the absolute values to identify the unknown ones in order to determine the value of proportionality constant k.To know more about the inverse proportion, here
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answer 5a please :)
Answer:
the first 3 terms are 3 9 19
Complete the equation with values that will result in infinitely many solutions. 7x+2(x+5)=
The equation with values that will result in infinitely many solutions is 7x + 2(x + 5) = 7x + 2(x + 6)
How to complete the equation?From the question, we have the following parameters that can be used in our computation:
7x+2(x+5)=
Rewrite properly
So, we have
7x + 2(x + 5) =
For the equation to have infinitely many solutions, then the variable part must be the same, while the constant part must be different
So, we have
7x + 2(x + 5) = 7x + 2(x + k)
By comparison, we have
k = 5
This means that the value of k can be any real number except 5
So, we can make use of 7x + 2(x + 5) = 7x + 2(x + 6)
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How do you find the domain step by step?
Using the provided function and finding the values of input for which it will provide valid output values we can find the domain.
What is the difference between domain an range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Can a function's domain and range be the same?Yes. For instance, the set of all real numbers is the domain and range of the cube root function.
Choose the input values.
Exclude any real numbers that produce a negative value in the radicand because there is an even root. Solve for x by setting the radicand to be greater than or equal to zero.
The domain of the function is the solution(s). If at all possible, format your response as an interval.
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A truck can be rented from Company A for $100 a day plus $0.30 per mile. Company B charges $20 a day plus $0.80 per mile to rent the same truck. Find the number of
miles in a day at which the rental costs for Company A and Company B are the same.
At miles, the rental costs are the same from either company.
After covering a distance of 160-mile rental cost of both company will become same.
How to solve inequalities?Mathematical expressions with the symbols >,<, ≥ and ≤ are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. Inequalities are resolved using graphs and algebra. It is imperative that you practice the techniques described here a lot so they become second nature if you want to master them.
An inequality still exists if the same amount is added to both sides. The inequality still holds true if the same amount is subtracted from each side. An inequality still holds true if both sides are multiplied or divided by the same positive value. However, if both sides of an inequality are multiplied or divided by a negative value, the inequality is no longer valid. In actuality, the inequity is turned around.
Solving according to ques,
Let us represent distance covered be X miles.
$100+($0.30) X = $20 + ($0.80) X
subtracting $20 and ($0.30) X from both sides, we get
$80 = ($0.50) X
X = 160 mile.
So, rental costs for company will be same when bot the trucks will cover a distance of 160 mile.
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What is the rational root theorem simple?
The rational root theorem is the representation of the finding rational solution of the given polynomial function.
As given in the question,
Rational zero theorem is also called rational root theorem.Consider a polynomial function f(x) = a₀ + a₁x + a₂x² + ...+ aₙxⁿRational root or the solution can be derived in the simplest form x/y by using the following formula.x / y = ( One of the factor of a₀ ) / ( One of the factor of aₙ )Value of x/y is always a prime number. They are also known as root, zeros or the solution of the given polynomial function.Therefore, the rational root theorem is the representation of the finding rational solution of the given polynomial function.
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foci at (39,0) and (-39,0) and a constant difference of 30
The equation of the ellipse with foci at (39,0) and (-39,0) and a constant difference of 30 is given as follows:
x²/39² + y²/9² = 1.
How to obtain the equation of the elipse?The equation of an ellipse of center (h,k) is given by the rule presented as follows:
(x - h)²/a² + (y - k)²/b² = 1.
In which:
a is the distance from the center to the focus.b is the distance from the center to the vertex.The coordinates of the foci are given as follows:
(39,0) and (-39,0).
The center is the midpoint of these two coordinates, hence:
h = (39 - 39)/2 = 0.k = (0 + 0)/2 = 0.The coefficient a is given as follows:
a = |39 - 0| = |0 - 39| = 0.
Considering the constant difference of 30, the constant b is given as follows:
b = a - 30 = 39 - 30 = 9.
Thus the equation of the ellipse is given as follows:
x²/39² + y²/9² = 1.
Missing InformationThe problem asks for the equation of the ellipse with the given features.
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What makes a graph not a histogram?
How would I solve this question?
Please take a look at the attachment
Working out required.
Thank You
Answer:
Step-by-step explanation:
(5x )4 +(5x )3 = (10x)12
(x-2)^2+(y+2)^2=4 please help!
Answer:
this answer can't be solved because there are two variables we need at least value of at least one variable
Answer:
y/x=2-x/y+2
Step-by-step explanation:
Calculate the Expected Value for Sell Company Probability Sell Company Form Joint Venture Sell Software on own Success 0.3 102.0 210 420 Moderate Success 0.3 102.0 120 208.0 Failure 0.4 102.0 10.0 100
The probability is 102.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Moderate Success 0.3 102.0 120 208.0
Failure 0.4 102.0 10.0 100
Now, the probability
E(x) = [tex]\sum^3_i[/tex]= [tex]S_iP_i[/tex]
= 102 x 0.3 + 102 x 0.3 + 102 x 0.4
= 30.6 + 30.6 + 40.8
= 102
Hence, the probability is 102.
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2. An escalator was built with an angle of depression of 30°. It descends at a rate of 100 feet per
minute. If the vertical rise of the escalator is 60 feet, how many seconds does it take for a
person riding the escalator to travel its full length? (sin 30° = 0.5; cos 30°= 0.866;
tan 30°=0.577)
A. 1.3 min
B. 1.2 min
C. 1.03 min
D. 0.7 min
Answer:
1.3
Step-by-step explanation:
What is the smallest angle in triangle?
If the angle is the opposite of the shorter of the two sides, there are two potential triangles. The perpendicular angle to the shortest side is the smallest angle.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is where the term "angle" originates.
When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °.
Acute, right, obtuse, and reflex angles are the other three significant types of angles.
360 degrees make up a circle.
A 720° angle indicates that the object has completed two full rotations.
There are two possible triangles if the angle is the opposite of the shorter of the two sides. The smallest angle is that which is perpendicular to the shortest side.
Therefore, if the angle is the opposite of the shorter of the two sides, there are two potential triangles. The perpendicular angle to the shortest side is the smallest angle.
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Use the image below to identify the following item please show ur work Bc I have too !!
One pair of vertical angels
One pair of adjacent angels
One pair of supplementary angles
One pair of vertical angle are ∠1 and ∠4 ; ∠2 and ∠3
One pair of adjacent angles are ∠1 and ∠2; ∠3 and ∠4; ∠1 and ∠3; ∠2 and ∠4.
One pair of supplementary angles are ∠1 and ∠2; ∠3 and ∠4.
What are vertical angles?
When two lines intersect, there are two vertical angles.
The vertical opposite angle of ∠1 is ∠4.
The vertical opposite angle of ∠2 is ∠3.
The vertical angles are ∠1 and ∠4; ∠2 and ∠3.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end.
∠1 and ∠2 have similar vertex and side. ∠2 and ∠3 have similar vertex and side. ∠3 and ∠4 have similar vertex and side. ∠3 and ∠4 have similar vertex and side.
Angles that add up to 180 degrees are referred to as supplementary angles.
∠1 and ∠2 is linear pair, it supplementary angles.
∠2 and ∠4 is linear pair, it supplementary angles.
∠3 and ∠4 is linear pair, it supplementary angles.
∠1 and ∠3 is linear pair, it supplementary angles.
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What does 1 mean in an array?
1 Indexed means that the array elements are numbered starting at 0.
What is array?
Array can be defined as a collection of elements of the same type placed in contiguous memory locations that can be individually referenced by using an index to a unique identifier also An array is a user defined data type consisting of an ordered set of elements of a single data type
Therefore add 1 to the array suppose an array contain elements of 1, 2, 3, 4 then the array represents decimal number 1234 and hence adding 1 to this would result 1235.
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which of the following would be an example of a function with a range (-infinity a] and a domain [b,infinity) where a > 0 and b > 0
Answer:
f(x)= √(x-a) +b
Step-by-step explanation:
parent function is y=√x. This has a domain and range of [0, ∞). The question asks what function transformations will move the domain to [a, ∞) and the range to [b, ∞).
Function transformations
To move the domain from [0, ∞) to [a, ∞) requires the function be translated 'a' units to the right. That transformation is accomplished by replacing x with (x-a) in the function definition.
To move the range from [0, ∞) to [b, ∞) requires the function be translated upward by 'b' units. This is accomplished by adding 'b' to every function value.
The net effect of these transformations is ...
f(x) = √x ⇒ f(x) = √(x -a) +b
(x^3 − 18x + 8) divided by
(x − 4).
Answer:
x^2 + 4x - 2
Step-by-step explanation:
x - 4 = 0
x = 4
Use synthetic division:
4 | 1 0 -18 8 ==> 1=x^3, 0=0x^2, -18=-18x
+4 +16 -8
1 4 -2, 0 ==> x^2 + 4x - 2 with no remainder
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Raul works at a movie theatre. The function f(x) represents the amount of money in dollars Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works.
f(x) = 3x2 + 16
g(x) = the square root of five times x cubed
Find f(g(x)).
The required function obtained after solving f(g(x)) will be equal to 15x³ + 16. Hence, option C is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the functions given in the question,
f(x) = 3x² + 16
g(x) = √5x³
Now, find the function f(g(x)).
f(g(x)) = f(√5x³), [g(x) = √5x³]
f(g(x)) = 3( √5x³)² + 16 [f(x) = 3x² + 16]
So,
f(g(x)) = 3(5x³) + 16
f(g(x)) = 15x³ + 16
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Answer:
f(g(x)) = 15x^3 + 16 dollars / hour
I answered the quiz and it's correct
What is the curved surface area of a right circular cylinder?
A right circular cylinder's curved surface area is determined using the formula 2πrh square units.
what is right circular cylinder ?a cylinder having two circular bases and a perpendicular line connecting the centers of the two bases.
what is curved surface area?The area with solely curved surfaces, omitting the top and bottom of the circle, is known as the curved surface area. The area of a 3D figure's solely curved portion is referred to as the curved surface area. In general, the meaning of the terms lateral surface area and curved surface area is the same. As an illustration, the lateral surface area of a cuboid is used, whereas the curved surface area of a cylinder is used when the top and base surfaces are left out.
A right circular cylinder's curved surface area is determined using the formula 2πrh square units.
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it takes santa 5 minutes to fly 35 miles with the wind. it takes him 7 minutes to go 35 miles against the wind. determine the speed of santa's sleigh in still air (x) and the speed of the wind
(y).
Let x be the speed of Santa's sleigh in still air and y be the speed of the wind. We can use the formula d = rt, where d is the distance traveled, r is the speed at which the sleigh is traveling, and t is the time elapsed, to find x and y.
For the first case, where Santa is flying with the wind, the distance traveled is 35 miles, the time elapsed is 5 minutes, and the speed of the sleigh is x + y. Since there are 60 minutes in an hour, the time elapsed in hours is 5 minutes / 60 minutes/hour = 1/12 hours. So, we can write the equation 35 miles = (x + y) * (1/12 hours). Solving for x + y, we get x + y = 35 miles / (1/12 hours) = 420 miles/hour.
For the second case, where Santa is flying against the wind, the distance traveled is 35 miles, the time elapsed is 7 minutes, and the speed of the sleigh is x - y. Since there are 60 minutes in an hour, the time elapsed in hours is 7 minutes / 60 minutes/hour = 7/60 hours. So, we can write the equation 35 miles = (x - y) * (7/60 hours). Solving for x - y, we get x - y = 35 miles / (7/60 hours) = 300 miles/hour.
We can solve for x and y by equating the expressions for x + y and x - y and then solving for x and y. Since x + y = 420 miles/hour and x - y = 300 miles/hour, we can add these equations together to get 2x = 720 miles/hour. Dividing both sides of the equation by 2, we get x = 360 miles/hour. We can then substitute this value for x into the equation x + y = 420 miles/hour to solve for y, giving us y = 420 miles/hour
What is simple meter?
Tool dividing beats into two, three or four parts is called a simple meter.
A simple meter is a tool in music which divides beats into a number of two, three or four parts. A simple meter is of three types :
1. Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).
2. Triple - a meter which helps to divide beats into 3(i.e. into three parts)
3. Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).
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Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).
Triple - a meter which helps to divide beats into 3(i.e. into three parts)
Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).
m*3 + 2m*3
m cubed plus 2m cubed
Please help me solve this word problem? How should I set up my equation ?
Out of 82, 58 tickets were sold to students and 24 tickets were sold to the adults for the musical.
How to solve an equation for x?
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
According to the given question:
Let the tickets sold to students be x.
Since total number of sold tickets are 82, the number of tickets sold to families will be 82 - x (that is 82 minus number of tickets sold to students)
Cost for one ticket for students is $3
So, the amount after selling tickets to students = 3x ---- 1)
Similarly, cost of one ticket for an adult is $5
Hence the amount after selling tickets to adults = 5(82 - x) ----- 2)
Total sales from selling tickets is $294
From equation 1) and 2)
3x + 5(82 - x) = 294
Solving for the value of x
3x + 410 - 5x = 294
2x = 410 - 294
2x = 116
x = 58
Therefore, out of 82, 58 tickets were sold to students and (82 - 58) = 24 tickets were sold to adults.
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What is the rule for equilateral triangles?
In order to understand all properties of an equilateral triangles we will take a traingle ΔABC and let the side length be a,b,c and angle measures be α, β and Ф.
Properties of an equilateral triangles:1. All 3 side of an equilateral triangles have same length .
so as mentioned a=b=c.
2. All 3 angles of an equilateral triangles have same measure.
so α=β=Ф , which shows that all angles measures same.
3. Each angles of an equilateral triangles is [tex]60^0[/tex].
4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4}*a^2[/tex]
5 . Perimeter of an equilateral triangles = 3*a
6. Any two triangle sides can add up to a length that is longer than the third side.
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What direction is negative infinity?
Negative infinity is an abstract concept used to describe a value that is lower than any other real number. It is not a direction, but rather an idea of an unlimited amount of negative numbers.
Negative infinity is an abstract concept used to describe a value that is lower than any other real number. It is not a direction, but rather an idea of an unlimited amount of negative numbers. Although it does not have a physical direction, it can be thought of as a direction that is always negative and decreasing without bound. This concept is often used in mathematics to compare values and calculate limits. For example, when graphing a function, negative infinity is often used as the lower bound on the x-axis. Negative infinity is also used to describe the behavior of certain equations when a variable approaches a certain value or when a denominator approaches zero. In these cases, the equation would approach negative infinity. Negative infinity is not a real number and cannot be used in calculations, but it can be used to compare values and describe the behavior of certain equations.
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Can I withdraw my SSS contribution after 10 years?
When a person registers for SSS membership in any capacity, he/she becomes a member for life. Thus, withdrawal of membership is not possible.
Once you become a covered SSS member, you become a member for life. The contributions that you remit become savings for the future that will serve as the basis for the granting of social security benefits in times of contingencies. Membership cannot be withdrawn and contributions paid cannot refund.
Workers in the private sector are covered by social security under the Social Security System (SSS). In the event of a worker's passing, disability, illness, pregnancy, or old age, social security provides replacement income. The Social Security Act of 1954 went into effect on September 1st, 1957.
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What is the expression of 10³?
The expression in scientific notation expressed as 10³ is equivalent to the whole number 1000
What is scientific notation?Scientific notation is the mathematical representation of a number, based on a product of a number by another base 10, raised to an exponent that indicates where is the comma or what amount of zero has this, its form is:
a×10ⁿ
a is the number 10 is the base n is the exponent that indicates how much the decimal point has been shifted, it is negative if it is shifted from left to right.To know the value of the expression 10³, we will only add the number of zeros to the one as much as the exponent has
n = 31 0 0 0
10³ = 1000
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What's your measurement instrument?
Answer: ruler
Step-by-step explanation:
How do you find the maximum value of vertex form?
The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = − x² + 2x − 5
Convert the equation into a vertex form. Then we have
y = − x² + 2x − 5
y = − x² + 2x − 1 − 4
y = − (x² − 2x + 1) − 4
y = − (x − 1)² − 4
The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.
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The complete question is given below.
How do you find the maximum value of vertex form?
y = − x² + 2x − 5?