The t critical value for a two-sided confidence interval in each of the following situations:
a. Confidence level = 95%, df = 10, t critical value = 1.812
b. Confidence level = 95%, df = 15, t critical value = 1.753
c. Confidence level = 99%, df = 15, t critical value = 2.602
d. Confidence level = 99%, n = 5, t critical value = 3.365
e. Confidence level = 98%, df = 24, t critical value = 2.306
f. Confidence level = 99%, n = 38, t critical value = 2.821
The t-critical value is a value that is used to determine the margin of error in a two-sided t-test with a given level of confidence and degrees of freedom. The t-critical value can be looked up in a t-table, or calculated using a t-distribution calculator.
It is important to note that for a small sample size (n<30) t-distribution is used instead of the normal distribution, in that case, the degrees of freedom is n-1 and the t-critical value is different than the one calculated with degrees of freedom.
To know more about critical values:
https://brainly.com/question/15970126
#SPJ4
In how many ways can the digits in the number 9550000 be arranged
The number 9550000 can be arranged in a total of 8!/(4!4!) = 70 different ways.
What is digits?Digits are numerals or numbers used for counting, measuring, and representing quantities. They are the building blocks of mathematics, and are used to express amounts, relationships, and orders of magnitude. Digits are also used in computers and other digital devices to store and communicate information.
The 8 digits of 9550000 can be arranged using the formula for permutation: nPr = n!/(n-r)!
In this case, n = 8 and r = 8. So, the number of permutations of the 8 digits of 9550000 will be 8!/(8-8)! = 8!/(0!) = 8! = 40320.
However, we need to account for the fact that there are 4 zeros in the number 9550000. To do this, we need to divide the number of permutations by 4! (factorial of 4) to account for the 4 identical digits.
Therefore, the total number of ways the digits in the number 9550000 can be arranged is 40320/4! = 70.
To know more about digits click-
https://brainly.com/question/26856218
#SPJ1
What is the constant of proportionality in this proportional relationship?
X: 2 2 1/2. 3. 3 12
Y: 5/2 25/8. 15/4. 35/8
O 4/5
O5/4
O4
O5
In the given set of data, 4/5 is the constant of proportionality in the proportional relationship.
What is constant of proportionality?When two or more parameters are either directly or indirectly proportional to one another, the relationship is written as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables. The proportionality constant, k, is defined as follows.
The ratio of two proportional values at a constant value serves as the definition of the proportionality constant. When the product or ratio of two variables yields a constant, the relationship between the two is proportional. By comparing the ratio of the two specified quantities, we can calculate the value of the proportionality constant. A direct variation or an inverse variation of this relationship are both possible.
Given
2 : 5/2
2 = (k)5/2
also
3 : 15/4
3 = (k)15/4
This gives us
k = 2 × 2/5
k = 4/5
k = 3 × 4/15
k = 4/5
Thus, In the given set of data, 4/5 is the constant of proportionality in this proportional relationship.
Learn more about constant of proportionality
https://brainly.com/question/29126727
#SPJ1
Najee has $10.90 in quarters and dimes. He has 10 fewer dimes than quarters. Write an equation using x to represent the number of each coin that Najee has.
Answer:
34 quarters and 24 dimes---------------------------------------
Let the number of quarters be x, then the number of dimes is x - 10.
We know that quarter is $0.25 and dime is $0.10.
The total amount is $10.90.
Set up equation and solve for x:
0.25x + 0.1(x - 10) = 10.90.25x + 0.1x - 1 = 10.90.35x = 11.9x = 11.9/0.35x = 34Najee has 34 quarters and 34 - 10 = 24 dimes.
What are the 3 types straight line?
The 3 types straight line are
1. Slope-intercept form: y = mx + b
2. Point-slope form: y - y1 = m(x - x1)
3. Standard form: ax + by = c
1. Slope-intercept form: y = mx + b - This is the most common form of a straight line; it is composed of two parts: m (the slope of the line) and b (the y-intercept). To use this form, you need to know the slope (m) of the line and the y-intercept (b). From this information, you can calculate the equation of the line by substituting the values of m and b into the equation.
2. Point-slope form: y - y1 = m(x - x1) - This form of a straight line requires two points on the line and the slope of the line. To use this form, you need to know the two points on the line (x1, y1) and the slope of the line (m). Then, you can calculate the equation of the line by substituting the values of x1, y1 and m into the equation.
3. Standard form: ax + by = c - This form of a straight line is composed of three parts: a (the coefficient of x), b (the coefficient of y) and c (the constant). To use this form, you need to know the coefficients of x and y and the constant. From this information, you can calculate the equation of the line by substituting the values of a, b and c into the equation.
Learn more about straight line here
https://brainly.com/question/29223887
#SPJ4
Find the quotient 28.2 x 7.8
Answer:
219.96
Step-by-step explanation:
Do you mean the product? The term quotient is for division.
Match each of the descriptions with the correct rule for the transformation.
Rotation 90° counterclockwise 1. (x, y) → (-y, x)
Reflection over the x-axis 2. (x, y) → (x + 2, y – 2)
Translation 2 left and 2 up 3. (x, y) → (x, -y)
Translation 2 right and 2 down 4. (x, y) → (x – 2, y + 2)
The descriptions with the correct rule of transformation are given above.
Rotation 90° counterclockwise
(x, y) → (-x, y)
Reflection over the x-axis
(x, y) → (x, -y)
Translation 2 left and 2 up
(x, y) → (x - 2, y + 2)
Translation 2 right and 2 down
(x, y) → (x + 2, y - 2)
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
(x, y) is in the first quadrant.
Rotation 90° counterclockwise (x, y) will be in the II quadrant.
So,
(x, y) → (-x, y)
(x, y) is in the first quadrant.
Reflection over the x-axis (x, y) will be in the IV quadrant.
(x, y) → (x, -y)
(x, y) is in the first quadrant.
Translation 2 left and 2 up we get,
(x, y) → (x - 2, y + 2)
(x, y) is in the first quadrant.
Translation 2 right and 2 down we get,
(x, y) → (x + 2, y - 2)
Thus,
The descriptions with the correct rule of transformation are given above.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ1
How do you describe the motion of an object in terms of distance or displacement?
Distance is a measure of how far an object has traveled from a starting point. Displacement is the change in position from the starting point.
It is the total distance an object has moved and is the sum of all the displacements an object has made. The formula for calculating distance is distance = speed x time. For example, if a car has traveled at a speed of 50 km/h for 4 hours, then the distance traveled is 200 km (50 km/h x 4 h = 200 km).
Displacement is the change in position from the starting point. It is the shortest distance between the starting point and the final point and does not take into account the direction of motion. The formula for calculating displacement is displacement = final position – initial position. For example, if a car starts at point A and travels to point B, the displacement is the distance between A and B (B – A).
Learn more about distance and displacement here:
https://brainly.com/question/29130992
#SPJ4
Charles checks his pocket for change. He notices that he has 20 coins in dimes and quarters for a total of
$3.20.
Part A
Formulate a system of equations to represent this situation.
Part B
Solve the system of equations to determine the number of dimes and the number of quarters Charles has
in his pocket.
Therefore , the solution of the given problem of equation comes out to be 12 pennies.
Analyze the equation.A equation is a method that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific assertion that confirms the equivalency of two schemas is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the relationship between two phrases on either side of a letter. Frequently, the symbol and the single variable are the same. For example, 4x – 4 = 0.
Here,
Solving once per variable is the key to this issue.
Let x equal quarters and y equal dimes.
So, x + y = 20
Now, we'll build an equation using the coin values and total quantity of cash. (Decimals have been omitted for clarity.) 25x + 10y = 320
In terms of y, let's restate the original equation: y = 20 - x
In the second equation, we will now substitute this for y. 25x + 10(20-x) = 320
Calculate the value of x: 25x + 200 – 10x = 320.
15x = 120
8 quads times x
In light of this, y = 20 - 8 = 12 pennies.
Therefore , the solution of the given problem of equation comes out to be 12 pennies.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
What is the missing reason in step 6
Answer:
triangle angle sum theorem
How do you find the domain and range of a composition of F and G?
The domain of the composite function is the intersection of the domain of f(x) and G(x). D f(x) intersection D g(x) The range of the function is now restricted by the domain of the composite function.
Therefore, the range is found by evaluating the function at the points in the domain of f(x).
You find the domain of the function by finding all numbers that can't go into the equation. Usually all that prevents this is whether or not it contains a fraction with x on the bottom or a x under a square root .
The range is found by finding the vertex and noting that it is the minimum or maximum (depending on direction) of the graph. You can find the vertex by using -b/2a for the x value and then plugging in to get y value.
The given function f(x) = –37 is a horizontal line which goes from negative infinity to positive infinity.
In this case, the domain can be any number since there is no limit on what the x value can be.
So, the domain of the given function f(x) = –37 will be all real numbers.
And, the range will always be y = –37 because no matter what x value will equal, y will always be equal to –37 in the function of f(x) = –37.
So, the range of the given function f(x) = –37 will be y = –37.
Learn more about domain at:
brainly.com/question/28135761
#SPJ4
(x - 10) + (3x -6) how do you solve this?
The expression (x - 10) + (3x - 6) is equivalent to the expression 4x - 16.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x - 10) + (3x - 6)
Simplify the expression, then we have
⇒ (x - 10) + (3x - 6)
⇒ x - 10 + 3x - 6
⇒ 4x - 16
The expression (x - 10) + (3x - 6) is equivalent to the expression 4x - 16.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ1
there are 15 boys and 13 girls in her class what is P(boy)
Answer
15/28
Step-by-step explanation:
total no. of students in the class = 15+13
=28
no. of boys = 15
p(boy) =15/28
CAN SOMEONE CHECK MY GEOMETRY WORK? 25 POINTS.
Picture attached. If so please tell me what I did wrong thx
Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).
After, omit step 5 and jump straight to 6.
After this, step 6 is the statement that used to be step 5, which is true by CPCTC.
Then, you can prove the required statement by definition from this.
Usain thinks of a two-digit number. He adds 11 and then divides by 3. The answer is 22. What number did he start with?
Answer:
55
Step-by-step explanation:
let 'n' equal the number
(n + 11) / 3 = 22
cross-multiply to get:
n + 11 = 66
n = 55
Copy of IM Geo.2.5 Practice: Points, Segments, and Zigzags.
The sequence of rigid motion to take figure ABC to DEF given below.
What is triangle?Triangle is a geometric figure with three sides and three angles. It is one of the basic safe in geometry. Triangles are either write, acute or obtuse depending on the size of each angle. The sum of the angles in a triangle is 180 degrees. Triangle can be classified into equity real isosceles and triangles depending on the length of the sides.
1. Rotate figure ABC 90 degrees clockwise about the origin (point O).
2. Translate figure ABC 4 units to the right.
3. Rotate figure ABC 180 degrees clockwise about point O.
4. Translate figure ABC 2 units down.
5. Rotate figure ABC 90 degrees counterclockwise about point O.
6. Translate figure ABC 3 units to the left.
7. The figure is now in the position of figure DEF.
To know more about triangle click-
https://brainly.com/question/309896
#SPJ1
Cashews cost $9.90 per pound. If
Henry buys 2.45 pounds of
cashew, what is the total cost?
*Round to the nearest cent*
Need sum help on this assigment
We Proven that AB is congruent to BC in the given triangle.
What is congruent?Two sets of points are said to be congruent if and only if one set of points can be transformed into the other by an isometry, or a combination of rigid motions like translation, rotation, and reflection.
This indicates either object might be precisely aligned with other object by moving & reflecting it, but not by resizing it. The ability to cut out and then perfectly match up two separate plane figures on a piece of paper indicates that they are congruent. I'm allowed to turn the paper over.
Given that
BD ≅ BE
DE bisects AB
DE bisect BC
If DE bisects AB it means
BD = DA
2BD = 2DA
2BD = AB
BD ≅ AB
Also DE bisect BC meaning
BE = EC
2BE= 2EC
2BE = BC
BE ≅ BC
As it already given that BD ≅ BE, we have,
⇒ AB ≅ BD ≅ BE ≅ BC
⇒ AB ≅ BC
Hence, Proven that AB is congruent to BC in the given triangle.
Learn more about congruent
https://brainly.com/question/12413243
#SPJ1
What is a function example table?
A function example table is a tool used to organize and present information about a specific function or set of functions.
It typically includes the following columns:
Input: This column lists the inputs or arguments that the function accepts.
Output: This column lists the outputs or return values that the function produces.
Description: This column provides a brief explanation of what the function does and how it works.
Example: This column provides one or more examples of how the function can be used, along with the corresponding inputs and outputs.
Function example tables are a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior.
They can also be helpful for testing and debugging code, as they can be used to quickly check that a function is behaving as expected.
In conclusion, A function example table can be used to organize and present information about a specific function or set of functions, it typically includes the following columns: Input, Output, Description and Example.
This table is a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior which can also be helpful for testing and debugging code.
Learn more about function at
https://brainly.com/question/29548296
#SPJ4
What is the additive inverse of minus 13 7 by 8?
The additive inverse of -13 7/8 is +13 7/8.
The additive inverse of a number is the number that, when added to the original, equals zero. The additive inverse of -13 7/8 can be found by turning the sign of the original number into its opposite, which would be +13 7/8. This can be expressed mathematically using the formula a + (-a) = 0, where a is the original number.
When -13 7/8 is added to +13 7/8, the result is 0. This can be seen by calculation: -13 7/8 + 13 7/8 = -13 7/8 + 8/8 + 5/8 = -5/8 + 8/8 = 3/8 + 8/8 = 11/8 + 8/8 = 19/8 + 8/8 = 27/8 + 8/8 = 35/8 + 8/8 = 43/8 + 8/8 = 51/8 + 8/8 = 59/8 + 8/8 = 67/8 + 8/8 = 75/8 + 8/8 = 83/8 + 8/8 = 91/8 + 8/8 = 99/8 + 8/8 = 107/8 = 0.
Therefore, the additive inverse of -13 7/8 is +13 7/8.
Learn more about additive inverse here:
https://brainly.com/question/13715269
#SPJ4
Which of the following is the y-value of the solution to the system of equations?
3x + 2y = -4
-42y = 15x - 588
Solving the provided question we can say that the algebraic equation the value of 'y' is 19.
What are algebraic equations ?The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression. Complete addition and subtraction from left to right after working from left to right to complete multiplication and division.
Expressions, which are essentially mathematical "phrases," are distinguished by the lack of the equal sign. Equations have an equal sign, which indicates that two mathematical expressions are equal.
3x+2y = -4
15x +42y = 588
32y = 608
y = 608/32
y= 19
To know more about algebraic equation visit:-
brainly.com/question/953809
#SPJ1
what is the product of -3 and 1.5
Answer:
-4.5
Step-by-step explanation:
3 × 1.5 = 4.5
Negative times positive is negative.
-3 × 1.5 = -4.5
Solve for x in the following equation. 3(-3x-8) = 3(-6x+3) A. - 11/3 B. -11/9 C. 11/3 D. -5/3
The value of "x" in the algebraic equation
3(-3x - 8) = 3(-6x + 3) which makes it true is equal to 11/3 and option C is correct.
What is an algebraic equation?An algebraic equation is a mathematical statement that contains two equated algebraic expressions.
We shall evaluate for the value of x in the algebraic equation 3(-3x - 8) = 3(-6x + 3) as follows:
-9x - 24 = -18x + 9 {expand the bracket}
18x - 9x = 24 + 9 {collect like terms}
9x = 33
x = 33/9 {divide through by 9}
x = 11/3
Therefore, 11/3 is the value of x in the algebraic equation 3(-3x - 8) = 3(-6x + 3) that makes it true.
Learn more about algebra https://brainly.com/question/4344214
#SPJ1
I need help in this question can some one help me
Therefore ,the solution of the given problem of circle comes out to be as a result, the answer to the given circle problem is 6 + π cm
Explain the circle.Each spot on a circle's plane is evenly spaced from the core and is a sealed, double object. The development of a ribbon of reflective symmetry is aided by each arc tracing the circle. Each angle also has an axis of symmetry centered on it.
Here,
The central angle of a 9 Pi sq millimeter circle is 60 degrees.
R² = 9 for the area of a circle.
Circumference = 2πR
=> = 6π cm = 2π*3
(60/360)*6 cm is the length of an arc.
Following are the calculations for arc's perimeter: Radius + Arc Length + Radius = +3 + 3 = 6 + cm
Therefore ,the solution of the given problem of circle comes out to be as a result, the answer to the given circle problem is 6 + π cm
To know more about circle visit :-
brainly.com/question/29142813
#SPJ1
2x0.33
also what is it rounded? is it 2x1 or 2x0?
Answer:
2x0
Step-by-step explanation:
2 rounds to 2
and 0.33 rounds to 0
2x0
I understand that the answer is 0.99 which would round to 1.
But if these are the options then 2x0 is your answer.
Which expression is equivalent to startfraction 1 over sine (2 x) endfraction minus startfraction cosine (2 x) over sine (2 x) endfraction?.
tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
To determine equivalent 1/sin2x - cos2x/sin2x we use the tan(x) formula.
What is tan(x)?
tan(x) is tangent of x here, tan is trigonometric operator.
Now, evaluate the given equation
= 1/sin2x - cos2x/sin2x
use the formula of 1-cos2x and substitute in the above equation.
= (1-cos2x)/sin2x
we have the formula of sin2x=2sinxcosx and converting 1-cos2x as 2sin²x
Now, substitute in the above equation.
= (2sin²x)/2sinxcosx
By, canceling 2sinx in the numerator and denominator, we get
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
To know more about tan(x):
https://brainly.com/question/19915140
#SPJ4
A baker sells bread for $3 a loaf and rolls for $1 each. The baker needs to sell $27 worth of baked goods by
the end of the day.
Graph the linear equation 3b + r = 27, where b is the number of loaves of bread sold and r is the
number of rolls sold.
The graph shows the different combinations of loaves of bread and rolls that the baker can sell in order to reach a total revenue of $27.
What is the slope-intercept form?
The slope-intercept form is a way of expressing a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis, meaning the point at which the line intersects the y-axis when x = 0.
The given equation is in the form of y = mx + b where y =27, m = 3 and b = 1, is a linear equation and it can be represented as a straight line in a coordinate plane.
To graph this equation, we can use the following steps:
Plot the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is (0, 27) since when b = 0 and r = 0, the left side of the equation equals 27.Identify the slope, m = 3. This tells us that the line rises 3 units for every 1 unit it moves along the x-axis.Using the slope and y-intercept, pick a second point on the line and plot it. Connect the two points with a straight line. The graph will be a straight line passing through the point (0,27) and (5,15)The graph will be the line with equation y = 3x + 1, where x is the number of loaves of bread sold and y is the total cost of the bread.The graph shows the different combinations of loaves of bread and rolls that the baker can sell in order to reach a total revenue of $27.
To learn more about slope-intercept form, Visit
https://brainly.com/question/1884491
#SPJ1
Can anybody help me with this math
Answer:
The correct answer is that X < 0.
Step-by-step explanation:
An open circle on the number line indicates that some number, X, is < (less than) or > (greater than) the number place the circle is placed on. A closed circle on the number line indicates that some number, X, is [tex]\leq[/tex](less than or equal to) or [tex]\geq[/tex] (greater than or equal to) the number place the circle is placed on. An arrow indicates that the inequality is continuous. A line segment (when a line starts with a circle and ends with a circle) indicates that the inequality has a start point and an endpoint. (ie. -2 < x < 3.)An inequality pointing to the left (negative direction/integers) indicates that the inequality is less than or less than or equal to. An inequality pointing to the right (negative direction/integers) indicates that the inequality is greater than or greater than or equal to.Now that all the important information is covered, let's take a look at the number line.
The line has an open circle, so that indicates that either < or > will be used.The open circle has a start point of 0. The line is an arrow that is continuous after -11.The arrow points to the left. Therefore, X is some integer that is less than 0. X < 0.Please let me know if this helped!!!
Eric is riding his bicycle. He rides for 54.4 kilometers at a speed of 17 kilometers per hour. For how many hours does he ride?
Answer:
3.2 hours
Step-by-step explanation:
You know that it takes him 1 hour to go 17 kilometers so you can divide 54.4 by 17 to get the hours.
What are the three types of solutions to a system of linear equations in two variables?
A system of linear equations in two variables can have a unique solution, infinitely many solutions, or no solution.
There are three types of solutions to a system of linear equations in two variables:
Consistent and independent: A system of linear equations is said to be consistent and independent when it has a unique solution. It means that there is only one point of intersection between the two lines represented by the two equations.Consistent and dependent: A system of linear equations is said to be consistent and dependent when it has infinitely many solutions. It means that the two lines are the same and they coincide with each other.Inconsistent: A system of linear equations is said to be inconsistent when there is no solution. It means that the two lines are parallel and do not intersect.To learn more about linear equations at
https://brainly.com/question/11897796?referrer=searchResults
#SPJ4
What kind of sequence is an exponential function?
An exponential function is a function in which the variable is in the exponent. The general form of an exponential function is f(x) = ab^x, where a and b are constants.
The variable x is the exponent, meaning that it is raised to a certain power, resulting in the variable being in the exponent. In this function, the value of the function increases or decreases at a rate that is proportionate to the current value of the function.
This type of function is commonly used in modeling growth or decay in various fields such as biology, economics, and physics. The exponential function generates a sequence that is exponential in nature, the rate of change of the function is directly proportional to the value of the function.
To learn more about the exponential function at
https://brainly.com/question/14355665?referrer=searchResults
#SPJ4