Please help me with this problem
The area of the poster in square meters is 0.014 m².
How to calculate the areaIt should be noted that to convert the area from square centimeters to square meters, we need to divide by 10,000 (since 1 square meter is equal to 10,000 square centimeters).
The area of the poster is:
14 cm × 10 cm = 140 cm²
To convert this to square meters, we divide by 10,000:
140 cm² ÷ 10,000 = 0.014 m²
Therefore, the area of the poster in square meters is 0.014 m².
Learn more about area on;
https://brainly.com/question/2607596
#SPJ1
Heather has a rectangular poster that is 14 centimeters long and 10 centimeters wide. What is the area of the poster in square meters? Do not round your answer. Be sure to include the correct unit in your answer.
6. center (-2, 8), tangent to y = -4
The radius of the circle is 12, and the equation of the circle is:
(x + 2)² + (y - 8)² = 144
What is a circle?
It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
To find the equation of a circle that is tangent to a horizontal line at a given point, we can use the standard form of the equation of a circle:
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
In this case, the center of the circle is (-2, 8), which gives us:
(x + 2)² + (y - 8)² = r²
To find the radius, we need to know where the circle intersects the y = -4 line. Since the circle is tangent to the line, the distance from the center of the circle to the line is equal to the radius.
The distance between a point (x, y) and a horizontal line y = k is given by |y - k|.
In this case, the distance between the center (-2, 8) and the line y = -4 is |8 - (-4)| = 12.
Therefore, the radius of the circle is 12, and the equation of the circle is:
(x + 2)² + (y - 8)² = 144
To learn more about the circle visit:
brainly.com/question/11833983
#SPJ1
Complete question:
What is the center at (-2, 8), tangent to the line y = -4?
Jasper's aunt gave him a big bin of 500 beads made out of assorted materials to use for the wind chimes he makes. Jasper takes out a handful of beads, looks at the types of beads, then puts them back. Here are the materials of the handful he selected: glass, clay, wood, glass, wood, clay, metal, clay, wood, glass, wood, clay, metal, wood, clay Based on the data, estimate how many glass beads are in the bin. If necessary, round your answer to the nearest whole number.
We can estimate that there are approximately 134 glass beads in the bin.
What is probability?
Probability is a measure of the likelihood of an event occurring.
To estimate the number of glass beads in the bin, we can use the proportion of glass beads in the handful that Jasper selected.
There are 15 beads in the handful, and 4 of them are glass. So, the proportion of glass beads in the handful is:
4/15 ≈ 0.267
We can assume that the proportion of glass beads in the bin is similar to the proportion in the handful. Therefore, we can estimate the number of glass beads in the bin as:
0.267 x 500 ≈ 134
Therefore, we can estimate that there are approximately 134 glass beads in the bin.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AC > EF, given BC = EF. Upload the entire proof below.
Given:
BC = EF
Prove:
AC > EF
STATMENT REASON
1. 1.
2. 2. Betweenness
3. AC > BC 3.
4. 4.
The given information and the transitive property of inequalities, we can prove that [tex]AC[/tex] is greater than [tex]EF[/tex] .
What is the transitive property of inequalities?Statement Reason
[tex]BC = EF[/tex] Given
Betweenness Given
[tex]AC > BC[/tex] Given
[tex]AC > EF[/tex] Transitive property [tex](3, 1)[/tex]
Explanation:
[tex]BC = EF[/tex] Given: Given statement that BC is equal to EF.
Betweenness Given: Given statement that states the concept of betweenness, where BC is between AC and EF.
AC > BC Given: Given statement that [tex]AC[/tex] is greater than BC.
[tex]AC > EF[/tex] Transitive property: Using the transitive property, we can conclude that [tex]AC[/tex] is greater than EF (based on statement 3 and 1).
Therefore, using the given information and the transitive property of inequalities, we can prove that AC is greater than [tex]EF[/tex] .
Learn more about transitive here:
https://brainly.com/question/2437149
#SPJ1
If 4 < a < 5 and 2 < b < 4, find all possible values for each expression:
-2a + 3b
The potential values for the equation -2a + 3b, for given inequalities 4 < a < 5 and 2 < b < 4 are: (-8 + 3b), (-10 + 3b), (-2a + 6), and (-2a + 12), where 'a' and 'b' can take any value within their respective provided ranges.
What is "Inequalities" in mathematics?In mathematics, inequalities are mathematical expressions or statements that compare the relative magnitude of two or more numbers or quantities. They are used to depict connections such as "greater than," "less than," "greater than or equal to," "less than or equal to," and "not equal to" between numbers or mathematical expressions.
Some generally known types of inequalities in mathematics are:
Linear inequalitiesQuadratic inequalitiesRational inequalitiesExponential inequalities etc.For given problem,
Given that 4 < a < 5 and 2 < b < 4, we can consider the extreme values of 'a' and 'b' within these ranges to find the possible values of the expression.
When 'a' is at its Minimum, it equals 4: -2a + 3b = -2(4) + 3b = -8 + 3bWhen 'a' is at its Maximum, it equals 5:-2a + 3b = -2(5) + 3b = -10 + 3bWhen 'b' is at its Minimum, it equals 2:-2a + 3b = -2a + 3(2) = -2a + 6When 'b' is at its Maximum, it equals 4:-2a + 3b = -2a + 3(4) = -2a + 12So, the four potential values for the expression -2a + 3b, where 4 < a < 5 and 2 < b < 4, are:
-8 + 3b, -10 + 3b, -2a + 6, and -2a + 12
where 'a' and 'b' can take any value within their respective given ranges.
Learn more about Inequalities here:
https://brainly.com/question/30231190
#SPJ1
Answer: -4 and 4
Step-by-step explanation:
use the lowest value for a and the highest for b
If PQRS is a rectangle, PR = 9x + 1, and QS = 13x - 11, find TR. (TR is half of the PR bisecter)
Answer: the length of TR is 24.5.
Step-by-step explanation: 9x + 1 = 13x - 11
22 = 4x
x = 5.5
Presently that we know x, ready to discover the values of PR and QS:
PR = 9x + 1 = 9(5.5) + 1 = 49
QS = 13x - 11 = 13(5.5) - 11 = 56
Since TR is half of the PR bisector, ready to discover it by separating PR by 2:
TR = PR/2 = 49/2 = 24.5
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
The correct answer is C. 0.3, which is equivalent to 3/10.
What are fractions?
A fraction is a mathematical representation of a quantity that expresses a part of a whole or a ratio between two quantities.
To find the total fraction of the diagram that is shaded, we need to add the fractions representing the shaded areas of the two squares.
Given that one square is shaded 2/12 and the other shaded square is 2/15, we can add these fractions:
2/12 + 2/15
To add fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 15 is 60, so we can use 60 as the common denominator for both fractions:
(2/12) + (2/15) = (2/12) * (5/5) + (2/15) * (4/4)
= 10/60 + 8/60
Now we can add the numerators:
= (10 + 8)/60
= 18/60
= 3/10
So, the total fraction of the diagram that is shaded is 3/10.
Hence, the correct answer is C. 0.3, which is equivalent to 3/10.
To learn more about fractions, Visit
https://brainly.com/question/78672
#SPJ1
6. WRITING IN MATH Describe why the
difference of squares pattern has no middle term
with a variable. Example w-121
The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.
How do you find a middle term?When expanding a binomial expression in the form of (a + b)ⁿ, the middle term can be found using the following formula:
Middle term coefficient = nC(k), where k = (n+1)/2 if n is odd, and k = n/2 or (n/2 + 1) if n is even. The middle term coefficient is then multiplied by the product of a raised to the power of (n-k) and b raised to the power of k.
The difference of squares pattern is a special algebraic pattern that arises when we factor a polynomial that is the difference between two perfect squares. For example,
x² - y² = (x+y)(x-y)
When we apply this pattern to the expression w - 121, we can rewrite it as:
w² - 11²
And, we can use the difference of squares pattern to factor it as:
(w + 11)(w - 11)
Notice that there is no middle term with a variable in this factorization. This is because when we multiply (w + 11)(w - 11), the middle term cancels out.
To see why this happens, let's expand the product:
(w + 11)(w - 11) = w² - 11w + 11w - 121
The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.
To know more about middle term visit:
brainly.com/question/29129680
#SPJ1
The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, th
e area is increased by 67 square units. Find the length and breadth of the rectangle.
Answer:
length = 17; breadth = 9
Step-by-step explanation:
Let x = area of rectangle; a = length; b = breadth.
+) a × b = x (1)
+) (a - 5) × (b + 3) = x - 9 => x = ab + 3a - 5b - 15 + 9 (2)
+) (a + 3) × (b + 2) = x + 67 => x = ab + 2a + 3b + 6 - 67 (3)
Replace (1) into (2) & (3):
[tex]\left \{ {{3a - 5b=6} \atop {2a+3b=61}} \right. = > \left \{ {{a=17} \atop {b=9}} \right.[/tex]
A landscaper has enough concrete paving stones to create a patio with an area of at most 250 square feet. The landscaper wants the length of the patio to be six feet longer than three times the width.
Select the statement that accurately describes the situation and justifies a possible width of the patio.
A.
A possible width is 10 feet because w = 10 satisfies 3w2 + 6 ≥ 250.
B.
A possible width is 11 feet because w = 11 satisfies 3w2 + 6w ≥ 250.
C.
A possible width is 8 feet because w = 8 satisfies 3w2 + 6w ≤ 250.
D.
A possible width is 9 feet because w = 9 satisfies 3w2 + 6 ≤ 250.
Answer:
C
Step-by-step explanation:
+) L = 3W + 6
+) L×W = (3W + 6)×W = 3W² + 6W ≤ 250
Consider the two-node circuit shown below:
The node voltages V₁ and V₂ (in volts) satisfy the following system of equations:
15V₁ = 7V₂ + 60
3V₂ + 10 = 3V₁
a) Write the system of equations in the matrix form AV-B, where V = [V1, V2]
b) Find V₁ and V₂ using the matrix algebra method. Perform all matrix computations and show all steps.
a) The system of equations can be written in the matrix form AV-B as: | -3 3 | | V2 | | -10 |
b) V1 = 369/22 volts and V2 = -51/22 volts.
What is matrix?A matrix is a rectangular array of numbers or symbols, arranged in rows and columns. Matrices are often used in mathematics, science, engineering, and other fields to represent and manipulate data, perform operations, and solve equations. The size of a matrix is determined by the number of rows and columns it contains, and is usually written in the form "m x n", where "m" is the number of rows and "n" is the number of columns. Matrices can be added, subtracted, multiplied, transposed, and inverted, and can be used to represent a wide range of mathematical objects, including systems of linear equations, transformations, and graphs.
a) The system of equations can be written in the matrix form AV-B as:
| 15 -7 | | V1 | | 60 |
| | x | | = | |
| -3 3 | | V2 | | -10 |
b) To solve for V1 and V2 using matrix algebra, we can use the inverse of matrix A as follows:
AV = B
V = A⁻¹B
First, let's find the inverse of matrix A:
A = | 15 -7 |
| -3 3 |
To find the inverse of A, we need to calculate the determinant of A:
det(A) = (15)(3) - (-7)(-3) = 66
Then, we can find the inverse of A as follows:
A⁻¹ = (1/det(A)) x | 3 7 |
| 3 15 |
Now, we can solve for V by multiplying A⁻¹ and B:
| V1 | | 3 7 | | 60 | | 369/22 |
| | = | | x | | = | |
| V2 | | 3 15 | |-10 | | -51/22 |
Therefore, V1 = 369/22 volts and V2 = -51/22 volts.
To know more about matrix visit:
https://brainly.com/question/27929071
#SPJ1
PLEASE HELP!!!! Luke is training for a long-distance bike race. On Tuesday, after riding for 1 hour, he has travelled 5 miles along a straight highway. After 3 hours, he has travelled 17 miles. Write the equation of the line that models Luke’s bike ride. What does the x represent? What does the y represent?
Answer: y=6x-1
Step-by-step explanation:
y=6x-1
x represents the time luke has been riding(hours) and the y represents the distance he has travelled (miles)
Find a formula for the exponential function passing through the points
(-3, 5/8 ) and (3, 40).
The exponential function is y=5.[tex]2^x[/tex].
What is exponential function?
A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.
Here the exponential function is [tex]y=ab^x[/tex]
Since (-3,5/8) is on the graph, -[tex]\frac{5}{8}[/tex]=[tex]ab^{-3}[/tex] -----> 1
Since (3, 40) is on the graph, 40=[tex]ab^3[/tex] ------> 2
So, [tex]\frac{ab^3}{ab^{-3}}=\frac{40}{\frac{-5}{8}}[/tex]
=> [tex]b^{3+3}=8\times8[/tex]
=> [tex]b^6=2^6[/tex]
=> b = 2
put b=2 into 2 then,
=> 40= [tex]a\times2^3[/tex]
=> 8a=40
=> a =5
Then the exponential function is y=5.[tex]2^x[/tex].
To learn more about exponential function refer the below link
https://brainly.com/question/2456547
#SPJ1
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 3
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
360° counterclockwise rotation
The correct direction and angle of rotation between triangle ABC in quadrant 4 and polygon A' B' C' in quadrant 3 is: 90° clockwise rotation.
What is he concept of transformations in geometry?A transformation in geometry is a procedure that modifies the location, scale, or orientation of a shape. Translations, rotations, reflections, and dilations are examples of common transformations.
Rotations are transformations that involve rotating a shape around a fixed point called the center of rotation. The direction of rotation can be either clockwise or counterclockwise, and the angle of rotation is the amount of rotation in degrees.
A' is located to the left of A, which indicates a clockwise rotation.
B' is located below B, which also indicates a clockwise rotation.
C' is located to the right of C, which indicates a clockwise rotation as well.
The correct response is a 90° clockwise rotation since all of the relevant vertices of polygon A' B' C' are turned clockwise in relation to triangle ABC. I regret if the prior replies left you perplexed.
Learn more about polygon here:
https://brainly.com/question/28276384
#SPJ1
Answer:
(A) 90° clockwise rotation
Step-by-step explanation:
Took the test (FLVS) got it right. ;)
Look at the image provided below
The density of nitrogen in the space will be 3.13 kg/m³
What is density?Density is the ratio of mass to volume of a substance. It is measured in kg/m³.
The volume of the shade part = volume of the cone- volume of the hemisphere
volume of the hemisphere = 2/3 πr³
= 2/3 × 3.14 × 40³
= 401920/3
= 133973.33m³
volume of the cone = 1/3 πr²h
= 1/3 × 3.14 × 40²× 500
= 2512000/3
= 837333.33 m³
volume of the shaded part = 837333.33-133973.33 = 703360m³
The density of the space = 2200000/703360
= 3.13kg/m³.
learn more about density from
https://brainly.com/question/1354972
#SPJ1
PLEASE HELP FAST 35 POINTS
calculate (p o q) (0)
0 is the value of (p o q) (0) in function .
What are functions in mathematics?
Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).
Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships. A function is a relationship between inputs, with each input associated with exactly one output. Each function has a domain and a codomain or scope.
P(0) = 0
Q(0) = - 1
(P o q)(0) = P(0) * Q(0)
= 0 * - 1
= 0
Learn more about Function
brainly.com/question/29452843
#SPJ1
Use custom relationships to create a graph, showing the solution region of the system of inequalities, representing the constraints of the situation. Did Mark and label it point represents a viable combination of guest School district is planning a banquet to honor his teacher of the year and raise money for the scholarship foundation. The budget to hold the banquet in a hotel room and miles is $3375 the venue can hold no more than 125 guest the cost is $45 per adult but only $15 per student because caterer offers a student discount discount
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
What is banquet?
A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.
To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.
Let's define the variables:
Let x be the number of adult guests.
Let y be the number of student guests.
Now, let's write the system of inequalities representing the constraints of the situation:
The total number of guests cannot exceed 125: x + y ≤ 125
The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375
To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.
The boundary lines of each inequality are:
x + y = 125 (the line that connects the points (0, 125) and (125, 0))
45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))
To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.
The resulting graph should look like this:
The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
To know more about banquet visit:
https://brainly.com/question/18943399
content loaded
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Answer Number of complaints 012 3 4 5 Probability 0.13 0.21 0.44 0.070. 0.06 0.09Save your answer What is the variance of complaints received per week? Please round your answer to the nearest hundredth Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
200 word answer
To calculate the variance of complaints received per week, we first need to find the mean or expected value of the number of complaints. This can be calculated by multiplying the number of complaints in each category by its corresponding probability, and then adding up the results.
Expected value = (0 x 0.13) + (1 x 0.21) + (2 x 0.44) + (3 x 0.07) + (4 x 0.06) + (5 x 0.09) = 2.54
Next, we can use the following formula to calculate the variance:
Variance = Σ[(x - µ)²P(x)]
where Σ = sum, x = number of complaints, µ = expected value, and P(x) = probability.
Using this formula and the probabilities given in the table, we get:
Variance = (0 - 2.54)²(0.13) + (1 - 2.54)²(0.21) + (2 - 2.54)²(0.44) + (3 - 2.54)²(0.07) + (4 - 2.54)²(0.06) + (5 - 2.54)²(0.09) = 1.4856
Rounding this answer to the nearest hundredth, we get a variance of 1.49.
In conclusion, the variance of complaints received per week is 1.49, meaning that the number of complaints is quite spread out around the mean, which is 2.54. This could indicate that the department store has some variability in its service quality, as the number of complaints can vary widely from week to week.
Rewrite in simplest terms: 4(0.7n-6n-0.3)-0.4n
Answer:
21.6n-1.2
Step-by-step explanation:
=2.8n-24n-1.2-0.4n
=21.6n-1.2
Briana helps her mother make a quilt The quilt is 6 feet wide and 12 feet long
Briana and her mother will need to measure and cut the fabric for the quilt. They will need to decide on a pattern and color scheme for the quilt. They will need to sew the pieces of fabric together to create the quilt top. They will need to layer the quilt top with batting and backing fabric and then quilt the layers together. Finally, they will need to bind the edges of the quilt.
Use the formula z = x-μ/σ
and the given information to find the missing piece of information
1. Given x = 75, μ = 80, o = 5, find z.
The missing piece of information z-score is -1.
Explain information
Information refers to data or knowledge that has been transmitted or received. It can be expressed in different forms, including numerical data, text, images, or sound. The information serves as a basis for understanding, analysis, and decision-making. It can be processed and analyzed using mathematical methods and tools such as statistics, probability, and data analysis. The effective management and utilization of information are essential for progress and innovation in many fields, including science, technology, and business.
According to the given information
Using the formula z = (x - μ) / σ, we can plug in the given values and calculate:
z = (75 - 80) / 5
z = -1
Therefore, the z-score is -1.
To know more about z-score visit
brainly.com/question/15016913
#SPJ1
1C. What do you do if you're collecting data and you're unable to survey everyone in a group because the group is
too large?
If the group is too large to survey everyone, you may consider using a sampling technique to select a representative subset of the group for the survey.
How to use Sampling Technique?Here are some common sampling techniques you could use:
Simple random sampling: randomly select individuals from the group to be surveyed.Stratified sampling: divide the group into subgroups based on certain criteria, and then randomly select individuals from each subgroup to be surveyed.Cluster sampling: divide the group into clusters, randomly select some of the clusters, and survey everyone in the selected clusters.Systematic sampling: select individuals from the group at regular intervals.When selecting a sampling technique, it's important to consider the size of the group, the available resources, and the research question. It's also important to ensure that the sampling technique is unbiased and representative of the group being studied.
Learn more about sampling technique here: https://brainly.com/question/17743025
#SPJ1
What’s the greatest common factor of 42 and 50:(8 different answers)
Answer:
Step-by-step explanation:
The GCF of 42 and 50 is 2.
A four-sided shape with the top side labeled as 10.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 4 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.
What is the area of the figure?
25.5 cm2
45.5 cm2
51 cm2
56.1 cm2
The area of the figure is 51 cm², which is option C.
What is area?In mathematics, area refers to the measure of the size of a two-dimensional surface or shape. It is typically expressed in square units, such as square meters (m²) or square centimeters (cm²), and can be calculated for a variety of geometric shapes, including squares, rectangles, triangles, circles, and more complex shapes such as trapezoids or polygons.
To find the area of the figure, we need to identify the shape of the figure. From the given information, we know that the figure has a top side, a height, and a base. We are also told that the base is divided into two parts by a perpendicular, and one of the parts is labeled as 4 cm, while the other part from the perpendicular to the right vertex is 6.2 cm.
Based on this information, we can draw the figure as a trapezoid, where the top side is the shorter base, the height is the vertical distance between the two bases, and the longer base is the sum of the two parts of the base.
Using the given information, we can calculate the longer base:
longer base = 4 cm + 6.2 cm = 10.2 cm
Now we can use the formula for the area of a trapezoid to find the area of the figure:
A = (1/2)h(b₁ + b₂)
where h is the height, b₁ is the shorter base, and b₂ is the longer base.
Plugging in the given values, we get:
A = (1/2)(5 cm)(10.2 cm + 10.2 cm) = 51 cm²
Therefore, the area of the figure is 51 cm² , which is option C.
To know more about area visit:
https://brainly.com/question/25292087
#SPJ1
Complete Question:
A four-sided figure has one side labeled 10.2 cm, a height of 5 cm, and a portion of the base from the perpendicular to a vertex labeled 4 cm. The portion of the base from the perpendicular to the right vertex is labeled 6.2 cm. What is the area of the figure?
Find the critical value t
The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.
What is Critical value?
In statistics, critical value is value that is used to determine whether to reject null hypothesis in hypothesis test. It is based on chosen level of significance, which is the maximum probability of making a Type I error (rejecting true null hypothesis). The critical value is determined by sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.
To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.
Using a t-distribution table with 21 degrees of freedom (n-1), we find that critical value for a 99% confidence level is approximately 2.819.
Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).
To know more about Null hypothesis visit:
brainly.com/question/30404845
#SPJ1
Which expression represents the phrase The product of a number and ten decreased by eight.
A. n -8 x 10
B. 8n -10
C. 10xn8
D. 10n - 8
The statement "The product of a number and ten decreased by eight" is represented by the correct equation D. 10n - 8.
What is a number's product?A number's product is the outcome of multiplying it by another number.
What additional mathematical expressions are there?Addition, subtraction, multiplication, division, exponents, and square roots are some other examples of mathematical expressions.
What is an exponent?A mathematical action known as an exponent symbolizes the repeated multiplication of the same integer. It is represented by a tiny number above and to the right of a base number.
For instance, 23 signifies that the number 2 has been multiplied three times, for a result of 8.
The sentence "The product of a number and ten decreased by eight" is correctly expressed as D. 10n - 8.
With this formula, a number is multiplied by 10 first, and the result is then reduced by 8.
To know more about product of numbers visit:
brainly.com/question/3211849
#SPJ1
Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used.
2
one half
4
one fourth
Answer: there all divided by 2
so it's 2
On the Y axis we have the profit from the trucking company and on the X axis we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
The thickness of a one-dollar bill is 1.1 × 10-4 meters. Each measurement below is the thickness of a stack of one-dollar bills. Drag each measurement to the correct dollar amount.
Thickness of 10 dollar bill is 1.1×10⁻³meters
Thickness of 1.25 × 10³ dollar bill is 1.375×10⁻¹meters
Thickness of 137 dollar bill is1.507 ×10⁻²meters
Define thicknessThickness is the measure of the distance between opposite surfaces of an object. In other words, it is the distance between two parallel planes that bound an object or material. Thickness is often used to describe the dimension of a flat or sheet-like object, such as paper, fabric, or metal, as well as the distance between the front and back surfaces of a three-dimensional object, such as a book or a wall. Thickness can be measured in units such as millimeters, inches, or micrometers.
The thickness of a one-dollar bill is 1.1 × 10⁻⁴ meters
Thickness of 10 dollar bill=10×1.1 × 10⁻⁴
=1.1×10⁻³meters
Thickness of 1.25 × 10³ dollar bill=1.25 × 10³ ×1.1 × 10⁻⁴
=1.375×10⁻¹meters
Thickness of 137 dollar bill=137 ×1.1 × 10⁻⁴
=1.507 ×10⁻²meters
To know more about millimeters, visit:
https://brainly.com/question/25862563
#SPJ1