a) The correct option is C. Construct a 99% confidence interval for μ in order to see the magnitude of the difference between 115 and your sample results.
b) The correct option is B. Use a very small level of significance.
c) The correct option is B. The sample size is small.
d) The lack of statistical significance at the 0.10 significance level suggests that the observed doubling of survival time may not be practically significant as the actual increase is only two years.
(a) To assess the practical significance of the results, the most helpful approach would be to construct a 99% confidence interval for the population mean, μ. This would provide a range of values within which the true population mean is likely to fall. By comparing this interval to the hypothesized value of 115, you can evaluate the magnitude of the difference and determine if it is practically significant.
Therefore, the correct option is C. Construct a 99% confidence interval for μ in order to see the magnitude of the difference between 115 and your sample results.
(b) When the consequences of rejecting the null hypothesis are very serious, it is important to be cautious and use a very small level of significance. The level of significance determines the threshold for rejecting the null hypothesis. By using a very small level of significance, you are setting a higher standard for rejecting the null hypothesis, reducing the likelihood of making a Type I error (false positive). This ensures that strong evidence is required to support rejecting the null hypothesis when the consequences are significant.
Therefore, the correct option is B. Use a very small level of significance.
(c) In this scenario, the explanation for the lack of statistical significance at the 0.10 significance level, despite the survival time doubling, is likely due to the small sample size. With only three subjects, the sample may not provide enough statistical power to detect a significant difference. The variability in survival times within the sample might also influence the lack of significance. A larger sample size would provide more reliable and statistically significant results.
Therefore, the correct option is B. The sample size is small.
d) The explanation for the lack of statistical significance in this scenario is that although the survival time has doubled from two years to four years, the actual increase is still only two years. This means that the difference between the standard treatment and the new treatment is not as substantial as it may initially seem.
When conducting statistical tests, it is important to consider both statistical significance and practical significance. While the survival time doubling may be a positive outcome, if the actual increase is only two years, it may not be considered practically significant in the context of cancer treatment.
Statistical significance is determined by conducting hypothesis tests and examining the p-value. In this case, even at the 0.10 significance level, the results are not statistically significant, indicating that the observed difference in survival times could likely be due to chance.
It is important to interpret the results in the context of the specific situation and consider factors such as sample size, variability, and clinical significance. In this case, the small sample size of three subjects may limit the statistical power to detect a significant difference. Additionally, the placebo effect or other factors may also play a role in limiting the statistical significance of the results.
In summary, the lack of statistical significance at the 0.10 significance level suggests that the observed doubling of survival time may not be practically significant as the actual increase is only two years.
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what is trigonometry ratio and if tan
1) sin θ + tan θ is equal to 5/6. 2) sin θ is 5/12. 3) sec θ + cosecc^2 θ = 12/√119 + 144/25 4) cot θ + sin θ is equal to 169/60.
How to answer the aforementioned question1) To find sin θ + tan θ, we need to find the value of sin θ. Using the identity tan θ = sin θ / cos θ, we can rewrite tan θ as sin θ / cos θ.
tan θ = 5/12 = sin θ / cos θ
Since we are given that 0 < θ < 90, both sin θ and cos θ are positive.
Using the Pythagorean identity[tex]{sin^2}[/tex] θ + [tex]cos^2[/tex] θ = 1, we can solve for cos θ:
[tex]cos^2[/tex] θ = 1 - sin^2 θ
[tex]cos^2[/tex] θ = [tex]1 - (5/12)^2[/tex]
[tex]cos^2[/tex]θ = 1 - 25/144
[tex]cos^2[/tex] θ = 119/144
cos θ = √(119/144)
cos θ = √119/12
Now, we can find sin θ using the relationship [tex]sin^2[/tex] θ + [tex]cos^2[/tex]θ = 1:
[tex]sin^2[/tex] θ = 1 - [tex]cos^2[/tex] θ
[tex]sin^2[/tex]θ = 1 - (119/144)
[tex]sin^2[/tex]θ = 25/144
sin θ = √(25/144)
sin θ = 5/12
Finally, we can substitute the values of sin θ and tan θ into the expression sin θ + tan θ:
sin θ + tan θ = (5/12) + (5/12) = 10/12 = 5/6
Therefore, sin θ + tan θ is equal to 5/6.
2) The value of sin θ is already calculated as 5/12.
3) To find sec θ + [tex]csc^2[/tex] θ, we need to find the values of sec θ and csc θ.
Since sec θ is the reciprocal of cos θ, we can calculate sec θ as:
sec θ = 1/cos θ = 1/(√119/12) = 12/√119
csc θ is the reciprocal of sin θ, so:
csc θ = 1/sin θ = 1/(5/12) = 12/5
Now, we can substitute these values into the expression sec θ + [tex]csc^2[/tex]θ:
sec θ + [tex]csc^2[/tex]θ = (12/√119) + [tex](12/5)^2[/tex]= 12/√119 + 144/25
4) To find cot θ + sin θ, we need to calculate the value of cot θ.
cot θ is the reciprocal of tan θ, so:
cot θ = 1/tan θ = 1/(5/12) = 12/5
Now, we can substitute the values of cot θ and sin θ into the expression cot θ + sin θ:
cot θ + sin θ = 12/5 + 5/12
To add these fractions, we need a common denominator:
cot θ + sin θ = (12/5)(12/12) + (5/12)(5/5)
= 144/60 + 25/60
= 169/60
Therefore, cot θ + sin θ is equal to 169/60.
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John borrowed $4,300.00 for 8 days at an annual simple interest rate of 13.75%. What is the amount of interest will John have to pay at the end of the loan?
John will have to pay $12.24 in interest at the end of the loan.
To calculate the amount of interest John will have to pay at the end of the loan, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Given:
Principal (P) = $4,300.00
Rate (R) = 13.75% per annum
Time (T) = 8 days
First, we need to convert the rate from an annual percentage to a daily rate. Since there are 365 days in a year:
Daily Rate = (Rate / 100) / 365 = (13.75 / 100) / 365 = 0.0003767
Now we can calculate the interest:
Interest = Principal * Rate * Time
= $4,300.00 * 0.0003767 * 8
= $12.24
Therefore, John will have to pay $12.24 in interest at the end of the loan.
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I NEED HELP WITH STATISCTICS
Answer:
20cm
Step-by-step explanation:
What is the meaning of "the atomic formulas"?
These atomic formulas represent basic assertions or relationships between elements or sets.
In logic and mathematical logic, "atomic formulas" refer to the simplest, indivisible formulas that do not contain any logical connectives or quantifiers.
They are the building blocks from which more complex formulas are constructed.
In set theory, the atomic formulas are typically statements about membership or equality.
For example, "x belongs to y" (x ∈ y) and "x equals y" (x = y) are atomic formulas in set theory.
Using logical connectives (such as conjunction, disjunction, negation, implication, and equivalence) and quantifiers (such as "for all" (∀) and "there exists" (∃)), we can combine atomic formulas to form more complex formulas, enabling us to express a wide range of logical statements and mathematical properties.
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2 A car dealer, at a year-end clearance, reduces the price of last year's models by a certain amount. If a certain four-door model has been sold at a discounted price of Birr 51,000, with a discount of Birr 9,000, what is the percentage of discount?
For calculating the percentage of discount, we can use the formula:
Percentage of discount = (Discount amount / Original price) * 100
We have given that the discounted price is Birr 51,000 and the discount amount is Birr 9,000,we need to find the original price.
Original price = Discounted price + Discount amount
Original price = 51,000 + 9,000 = 60,000 Birr
Now, we can calculate the percentage of discount:
Percentage of discount = (9,000 / 60,000) * 100 = 15%
Hence, the percentage of discount for the four-door model is 15%.
A rectangular prism.
What are the shapes of the cross sections formed by a plane slicing the rectangular pyramid?
A plane intersects the pyramid parallel to its base. The cross section is a
._____
A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a
_________
A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. A plane intersects the pyramid parallel to its base. The cross section is a rectangle A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a triangle
A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. Let's explore the two scenarios you mentioned:
Plane parallel to the base: When a plane intersects the rectangular prism parallel to its base, the resulting cross section is also a rectangle. The shape of the cross section will have the same dimensions as the base of the rectangular prism.
Plane perpendicular to the base and through the top vertex: In this case, the cross section will be a triangle. The shape of the cross section will be determined by the intersection of the plane with the three sides of the rectangular prism. The base of the triangle will be formed by the side of the rectangular prism, while the other two sides will be formed by the edges connecting the top vertex of the pyramid to the corresponding vertices of the base.
It's important to note that a rectangular prism is different from a pyramid. A rectangular prism has six rectangular faces, while a pyramid has a polygonal base (in this case, a rectangle) and triangular faces converging to a single point called the apex or top vertex.
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Consider the following figure
The arrangement of the side length of the triangles from the least to the greatest is DF < DE < EG < EF < GF.
What is the arrangement of lengths of the triangle?The arrangement of the lengths of the triangle from the least to the greatest is determined as follows;
The size of the length of a triangle increases as the size of the angle opposite to the length increases.
That is the greater the size of the angle opposite the side length of a triangle, the greater the size of the side length of the triangle.
From the given diagram, we can arrange the size of the side length of the triangle as follows;
angle D = 180 - (57 + 58 )
angle D = 65⁰ (this is opposite to length EF)
So the arrangement of the side length of the triangles are;
length DF < Length DE < length EG < length EF < length GF
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What is the length of this circle?
The length of arc length s is 1152π² or 11358.26.
We have,
The arc length of a circle can be calculated using the formula:
Arc Length = 2πrθ/360
Where:
π is a mathematical constant approximately equal to 3.14159.
r is the radius of the circle.
θ is the central angle subtended by the arc, measured in degrees.
The arc length of a circle can be written as:
s = angles/360 x 2πr _______(1)
Now,
r = 4 cm
Angle = (2/5)π
Now,
Substitute in (1).
s = angles/360 x 2πr
s = (2/5)π/360 x 2π x 4
s = 2π x 72 x 2π x 4
s = 4π² x 288
s = 1152π²
or
s = 11358.26
Thus,
The length of arc length s is 1152π² or 11358.26.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
A graph of the image of polygon DGF after a dilation centered at the origin with a scale factor of 1.5 is shown below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the dimension (size) or side lengths of a geometric figure, but not its shape.
This ultimately implies that, the side lengths of the dilated geometric figure would be enlarged or reduced based on the scale factor applied.
In this scenario an exercise, we would dilate the coordinates of the polygon by applying a scale factor of 1.5 that is centered at the origin as follows:
D (-2, 0) → (-2 × 1.5, 0 × 1.5) = D' (-3, 0).
G (0, 2) → (0 × 1.5, 2 × 1.5) = G' (0, 3).
F (2, -2) → (2 × 1.5, -2 × 1.5) = F' (3, -3).
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A straw is placed inside a rectangular box that is 10 inches by 6 inches by 7 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. Find the z-score of a person who scored 300 on the exam.
A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.
The z-score of a person who scored 300 on the exam, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:
z = (300 - 300) / 40
Simplifying the equation, we have:
z = 0 / 40
Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.
The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.
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Zapisz w postaci dziesiętnej 7/100, 3 5/10
Answer:
7/100 w postaci dziesiętnej to 0,07.
3 5/10 w postaci dziesiętnej to 3,5.
Can someone please help me find the domain and range thank you all so much for the help
The domain and the range of the graph are Domain = [-10, -8] and Range = [-10, -1]
Calculating the domain and range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The above graph can be represented as a list of ordered pairs
The rule of a graph is that
The domain is the x valuesThe range is the f(x) valuesUsing the above as a guide, we have the following:
Domain = [-10, -8]
Range = [-10, -1]
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Please help me it’s due today!!!!
The value of x in trapezoid KFGJ is 40.
Given information:
KFGJ is a trapezoid.
KF = 20
JG = x
MN is midsegment of trapezoid KFGJ.
MN = 30
To find the value of x in trapezoid KFGJ, we can use the fact that the midsegment MN of a trapezoid is parallel to the bases and its length is equal to the average of the lengths of the bases.
In this case, MN is given as 30, and we know that KF is one of the bases with a length of 20. To find the length of the other base JG, we can use the formula for the midsegment of a trapezoid:
MN = (KF + JG) / 2
Substituting the given values, we have:
30 = (20 + x) / 2
To solve for x, we can multiply both sides of the equation by 2:
60 = 20 + x
Subtracting 20 from both sides:
x = 60 - 20
x = 40
Therefore, the value of x in trapezoid KFGJ is 40.
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A kid's size small T-shirt is designed to fit children
who weigh between 43 and 55 pounds.
a. Write an inequality to describe w, the weight
of a child who has outgrown the small T-shirt.
9 √
b. Write an inequality to describe y, the weight
of a child who is not ready for the small T-shirt
yet.
A) The inequality that the weight of a child who has outgrown the small T-shirt is w > 55. B) The inequality that the weight of a child who is not ready for the small T-shirt yet. Is y < 43
How to determine the inequalitiesa. To describe the weight (w) of a child who has outgrown the small T-shirt, we can use the inequality:
w > 55
This inequality states that the weight of a child (w) must be greater than 55 pounds for them to have outgrown the small T-shirt.
b. To describe the weight (y) of a child who is not ready for the small T-shirt yet, we can use the inequality:
y < 43
This inequality states that the weight of a child (y) must be less than 43 pounds for them to not be ready for the small T-shirt yet.
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Please help me right now!
Thank you so much
The length of the arc KL in the given circle is 3.49 units
How to find the length of the arc KL?In a circle whose radius is R, the length of an arc defined by an angle x is given by:
Length = (x/360)*2*3.14*R
Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:
Length = (100/360)*2*3.14*2
Lenght = 3.49 units.
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Use the graph to answer the question.
Graph of polygon ABCD with vertices at negative 2 comma negative 1, 0 comma negative 4, 4 comma negative 4, 2 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 5 comma negative 1, 7 comma negative 4, 11 comma negative 4, 9 comma negative 1.
Determine the translation used to create the image.
7 units to the right
3 units to the right
7 units to the left
3 units to the left
The translation used to create the image A'B'C'D', from the pre image ABCD is T(7, 0), which corresponds with the option;
7 units to the right
What is a translation translation transformation?The coordinates of the vertices of the polygon ABCD are;
A(-2, -1), B(0, -4), C(4, -4), D(2, -1)
The coordinates of the vertices of the polygon A'B'C'D' are;
A'(5, -1), B'(7, -4), C'(11, -4), D'(9, -1)
The coordinates of the vertices of the image indicates;
The difference between the coordinates are;
A'(5, -1) - A(-2, -1) = (5 - (-2), -1 - (-1)) = (7, 0)
B'(7, -4) - B(0, -4) = (7 - 0, -4 - (-4)) = (7, 0)
C'(11, -4) - C(4, -4) = (11 - 4, -4 - (-4)) = (7, 0)
D'(9, -1) - D(2, -1) = (9 - 2, -1 - (-1)) = (7, 0)
The translation that is used to create the image is therefore;
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What is the measurement of N?
Consider a sample with six observations of 16, 11, 13, 22, 15, and 19. Compute the z-score for each observation.
The z-scores for the observations 16, 11, 13, 22, 15, and 19 are approximately 0, -1.37, -0.82, 1.64, -0.27, and 0.82, respectively.
To compute the z-scores for each observation in the sample, we need to first calculate the mean and standard deviation of the data set.
Given the sample with observations: 16, 11, 13, 22, 15, and 19.
Calculate the mean (μ):
Add up all the observations and divide by the total number of observations.
Mean (μ) = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 96 / 6 = 16.
Calculate the standard deviation (σ):
Subtract the mean from each observation.
Deviation = Observation - Mean
Square each deviation.
Squared Deviation = Deviation²
Calculate the average of the squared deviations.
Average Squared Deviation = (Squared Deviation1 + Squared Deviation2 + ... + Squared Deviation6) / 6
Take the square root of the average squared deviation.
Standard Deviation (σ) = √(Average Squared Deviation)
Let's calculate each step:
Deviation1 = 16 - 16 = 0
Deviation2 = 11 - 16 = -5
Deviation3 = 13 - 16 = -3
Deviation4 = 22 - 16 = 6
Deviation5 = 15 - 16 = -1
Deviation6 = 19 - 16 = 3
Squared Deviation1 = 0² = 0
Squared Deviation2 = (-5)² = 25
Squared Deviation3 = (-3)² = 9
Squared Deviation4 = 6² = 36
Squared Deviation5 = (-1)² = 1
Squared Deviation6 = 3² = 9
Average Squared Deviation = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 = 13.33
Standard Deviation (σ) = √13.33 ≈ 3.65
Now that we have the mean (μ = 16) and standard deviation (σ ≈ 3.65), we can calculate the z-score for each observation.
The z-score (Z) for an observation (X) is calculated using the formula:
Z = (X - μ) / σ
Let's calculate the z-scores for each observation:
Z1 = (16 - 16) / 3.65 = 0 / 3.65 = 0
Z2 = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37
Z3 = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82
Z4 = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64
Z5 = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27
Z6 = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82
So, the z-scores for the observations 16, 11, 13, 22, 15, and 19 are approximately 0, -1.37, -0.82, 1.64, -0.27, and 0.82, respectively.
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I need help with this
Answer:
B. {1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}
Step-by-step explanation:
The intersection of two sets is a set containing the elements that are present in both sets.
{1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}
(Worth 100 Brainly points help fast)Solve the following system of equations and show all work.
y = 2x²
y = -3x -1
The solutions are : solution of the following system of equations are:
(- 1/2, 1/2)
(- 1, 2)
Here, we have,
The given system of equations is expressed as
y = 2x²- - - - - - - - - - - - - - -1
y = - 3x - 1- - - - - - - - - -- - - -2
We would apply the method of substitution by substituting equation 1 into equation 2. It becomes
2x² = - 3x - 1
2x² + 3x + 1 = 0
We would find two numbers such that their sum or difference is 3x and their product is 2x².
The two numbers are 2x and x. Therefore,
2x² + 2x + x + 1 = 0
2x(x + 1) + 1(x + 1) = 0
2x + 1 = 0 or x + 1 = 0
x = - 1/2 or x = - 1
Substituting x = - 1/2 into equation 1, it becomes
y = 2(-1/2)² = 1/2
Substituting x = - 1 into equation 1, it becomes
y = 2(-1)² = 2
Hence, The solutions are : solution of the following system of equations are:
(- 1/2, 1/2)
(- 1, 2)
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List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, and f. real numbers.
Answer:
See attached
Step-by-step explanation:
You want the given numbers classified as to Natural, Whole, Integer, Rational, Irrational, and/or Real.
RealAll the given numbers are real.
IrrationalThe number √2 is irrational. All the others are rational.
IntegerThe values √16 = 4, 0, and -5 are integer values. Whole numbers are non-negative integers, so exclude -5. Natural numbers are positive integers, so exclude 0 and -5.
The Xs indicate the categories each number belongs to.
I have a deck of 52 cards, from which I draw 3 cards and I would like to make a probability tree diagram, with two events, drawing a spade, and not drawing a spade. These two events have to branches which are the same, drawing a spade and not drawing a spade. Once again these two branches have two more branches for each, drawing another spade and not drawing a spade. I need a tree diagram which includes these branches and events.
The probability is solved and the tree diagram is given
Given data ,
The tree diagram to draw 3 cards out of 52 cards from the given probability details are:
The two events, drawing a spade, and not drawing a spade. These two events have to branches which are the same, drawing a spade and not drawing a spade. Once again these two branches have two more branches for each, drawing another spade and not drawing a spade.
_______ Draw a Spade _______
/ \
______/______ ______\_______
/ \ / \
/ \ / \
/ \ / \
Spade Not Spade Spade Not Spade
| | | |
Draw another Spade Not Draw a Spade Draw another Spade Not Draw a Spade
Hence , the probability of deck of cards is solved
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Simplify (4x5y³)(-3x³y²).
O-12x85
Ox³y5
O-12x³y6
O-12x¹5,6
Answer:
-12x⁸y⁵
Step-by-step explanation:
Exponent law:
xᵃ * xᵇ = xᵃ ⁺ ᵇ
In exponent multiplication, if bases are same, add the exponents.
Multiply the co-efficient.Multiply the variable using the exponent law.(4x⁵y³) (-3x³y²) = 4*(-3) * x⁵⁺³ * y³⁺²
= -12x⁸y⁵
Please help me out on this question
The relative frequency distribution is:
Income ($) | Frequency Relative | Frequency200-300 | 51 | 18.82%301-400 | 58 | 21.40%401-500 | 74 | 27.30%501-600 | 69 | 25.46%More than 600 | 19 | 7.01%The correct option is A.
What is a relative frequency?A relative frequency is the proportion of the total number of outcomes to the number of times a certain value of the data happens in the set of all outcomes.
Relative frequency = frequency of given data/total frequency * 100%The relative frequency distribution of the given data is constructed below:
Total number of students = 51 + 58 + 74 + 69 + 19
Total number of students = 271
The relative frequency of each class interval will be:
200-300; 51/271 * 100% = 18.82%
301-400; 58/271 * 100% = 21.40%
401-500; 74/271 * 100% = 27.30%
501-600; 69/271 * 100% = 25.46%
More than 600; 19/271 * 100% = 7.02%
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Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $13.00
5 $17.50
7 $20.50
10 $25.00
15 $32.50
What does the y-intercept mean in this situation?
For every additional mile the cab travels, the total fee increases by $10.00.
For every additional mile the cab travels, the total fee increases by $1.50.
When the cab travels 0 miles, the total fee will be $1.50.
When the cab travels 0 miles, the total fee will be $10.00.
Answer:
When the cab travels 0 miles, the total fee will be $10.00.
Step-by-step explanation:
We Know
2 miles = $13.00
5 miles = $17.50
3 miles = 17.50 - 13.00 = $4.50
1 mile = 4.50 / 3 = $1.50
So, for every 1-mile go, the cost is increasing by $1.50; this is the slope.
What does the y-intercept mean in this situation?
It is the total fee that Tyrell pays when the cab goes 0 miles (when he first steps in the cap).
So, the answer is D. When the cab travels 0 miles, the total fee will be $10.00.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
The correct answer is:
(A) enlargement
4. Higher Order Thinking A national TV
news show conducted an online poll to find
the nation's favorite
comedian. The
website showed
the pictures of
5 comedians and
asked visitors of the
site to vote. The news
show inferred that
the comedian with
the most votes was
the funniest comedian
in the nation.
a. Is the inference valid? Explain.
b. How could you improve the poll? Explain.
No, the inference is not necessarily valid. The fact that a comedian received the most votes in an online poll does not guarantee that they are the funniest comedian in the nation.
Is the inference valid? Explain.The poll's results are influenced by various factors such as the sample size, the demographics of the voters and potential biases in the voting process.
Also, humor is subjective and what one person finds funny may not be the same for someone else. Therefore, determining the funniest comedian based solely on the number of votes in an online poll is an oversimplified and flawed approach.
To improve the poll, several steps can be taken which are:
Increase sample sizeUse random samplingImplement multiple criteriaConduct a live event or competition.Read more about inference
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Answer: D. <4 and <7
Step-by-step explanation:
Consecutive means one after the other
Interior means within the parallel lines
So we are looking for 2 to angles inside the parallelel lines that are 1 after the other on the same side
D. <4 and <7
