Answers
Answer:the first one
Step-by-step explanation:
Related Questions
Two similar solids have edges of 4 feet in 24 feet if the smaller saw that has a volume of 16 ft.³ find the volume of the other solid?
Answers
Answer: 3,456
Step-by-step explanation:
ΔDEF ∼ ΔABC. What is the sequence of transformations that maps ΔABC to ΔDEF?
Answers
The sequence of transformation that maps ΔABC to ΔDEF is a rotation of 90° about the origin and a translation 2-units down.
What is rotation?An thing rotates when it moves about its own axis. This can be used to describe the rotation of natural items like wheels and gears as well as the rotation of celestial bodies like planets and stars. A fundamental idea in physics, rotation is used to describe a variety of motions.
What is translation?The act of shifting an object from one point to another without altering its size, shape, or orientation is referred to as translation. The coordinates of each point in the object are adjusted by a set amount to achieve this. In geometry and computer graphics, translation is a type of transformation that is frequently used to reposition objects on a two-dimensional plane or in three-dimensional space. In physics, the term "translation" can also refer to an object moving straight ahead without rotating or deforming.
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a probability distribution of the claim sizes for an auto insurance policy is given in the table below: claim size 20 30 40 50 60 70 80 probability 0.10 0.10 0.10 0.20 0.15 0.10 0.25 what percentage of the claims are within one standard deviation of the mean claim size?
Answers
55% of the claims are within one standard deviation of the mean claim size.
To find the percentage of claims that are within one standard deviation of the mean claim size, we first need to calculate the mean and standard deviation of the distribution.
The mean claim size is:
u = (20 × 0.10) + (30 × 0.10) + (40 × 0.10) + (50 × 0.20) + (60 × 0.15) + (70 × 0.10) + (80 × 0.25) = 54
The variance can be calculated as follows:
s^2 = [[tex](20-54)^{2}[/tex] × 0.10] + [[tex](30-54)^{2}[/tex] × 0.10] + [[tex](40-54)^{2}[/tex] × 0.10] + [[tex](50-54)^{2}[/tex] × 0.20] + [[tex](60-54)^{2}[/tex] × 0.15] + [[tex](70-54)^{2}[/tex] × 0.10] + [[tex](80-54)^{2}[/tex] × 0.25] = 340
The standard deviation is the square root of the variance:
s = √340 ≈ 18.44
To find the percentage of claims that are within one standard deviation of the mean claim size, we need to find the range of claim sizes that fall within the interval (u - s, u + s).
(u - s) = 54 - 18.44 = 35.56
(u + s) = 54 + 18.44 = 72.44
We can see from the table that the claim sizes 40, 50, 60, and 70 fall within this range, and their probabilities add up to:
0.10 + 0.20 + 0.15 + 0.10 = 0.55
Therefore, 55 percentage of the claims are within one standard deviation of the mean claim size.
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Please help!! Equation is in image below.
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The real values of "a" that make (x - a) a factor of the given polynomial are: a = 3, a = 2, and a = 3/14.
What are all the real values of a?
To find the values of "a" for which (x - a) is a factor of the given polynomial x⁴ + 3x³ - 6x² - 28x - 24, we can use the Remainder Theorem.
So, let's divide the given polynomial by (x - a) and set the remainder to zero to find the values of "a".
Using long division or synthetic division, we get:
x³ + (a - 3)x² + (3a - 6)x + (6 - 28a)
__________________________________________
x - a | x⁴ + 3x³ - 6x² - 28x - 24
Since the remainder is zero, we have;
x³ + (a - 3)x² + (3a - 6)x + (6 - 28a) = 0
Now, for (x - a) to be a factor of the given polynomial, the coefficients of x², x, and the constant term must be zero, because these are the coefficients of (a - 3)x², (3a - 6)x, and (6 - 28a), respectively.
So, we can set them to zero and solve for "a":
a - 3 = 0 (Coefficient of x²)
3a - 6 = 0 (Coefficient of x)
6 - 28a = 0 (Constant term)
Solving these equations, we get:
a - 3 = 0 => a = 3
3a - 6 = 0 => 3a = 6 => a = 2
6 - 28a = 0 => 28a = 6 => a = 6/28 => a = 3/14
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after a snowstorm city workers removed an estimated 10000 cubic yards of snow from the downtown area if this snow were apread in an even layer ocer the entire rectangular football field shown below about how many yards deep would the layer of snow be
Answers
The 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
To determine how many yards deep the layer of snow would be if spread evenly over the rectangular football field, we need to know the volume of the snow and the area of the football field.
First, let's find the area of the football field. Assuming standard dimensions for a football field, we have:
Length = 120 yards
Width = 53.3 yards
Area = Length x Width
Area = 120 yards x 53.3 yards
Area = 6,396 square yards
Now, let's find the volume of the snow. We are given that 10,000 cubic yards of snow were removed from the downtown area, so the volume is:
Volume = 10,000 cubic yards
Finally, to find the depth of the layer of snow, we can divide the volume of the snow by the area of the football field:
Depth = Volume / Area
Depth = 10,000 cubic yards / 6,396 square yards
Depth ≈ 1.56 yards
Therefore, if the 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
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What transformations take the graph of f(x)=e^x to f(x)=-e^x-2?
Answers
Answer:
the transformations that take the graph of those two equations are a reflection about the x-axis followed by a vertical shift downward by 2 units.
Step-by-step explanation:
Reflection: this reflects the original graph f(x)=e^x below the x-axis, resulting in the graph of -e^x.
Vertical shift: this will shift the graph -e^x downwards by 2 units.
Therefore, the transformations are a reflection about the x-axis followed by a vertical shift downward by 2 units.
Chloe had 74 pennies and then lost 10. Now she wants to buy a treat that costs 5 eighths of the pennies she has left. How many pennies does the treat cost?
Answers
The cost of the treat would be 40 pennies.
In mathematics, an expression is a combination of symbols (such as numbers, variables, and operations) that represents a value.
Expressions can be as simple as a single number or variable, or they can be more complex, involving multiple operations and variables. They can also include functions, exponents, and other mathematical concepts.
Chloe started with 74 pennies and lost 10, so she has 74 - 10 = 64 pennies left. The treat costs 5/8 of her remaining pennies,
Calculate the cost by multiplying 5/8 by 64:
(5/8) x 64 = 40
Therefore, the treat costs 40 pennies.
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What is the coordinate of R
Answers
Answer:
if you go into your reading lessone on one of the sentences in page 2 or 4 there is the answer hope this helped
Step-by-step explanation:
Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Answers
Getting married in December and filing a joint return would result in a lower tax liability by: $65,917.
Based on the given tax schedules, if Leni and Thom get married in December and file a joint return, their total tax liability would be:
$4,220 for the first $19,900 of taxable income
$20,227 for the remaining $210,100 of taxable income ($230,000 - $19,900)
Total tax liability: $24,447
If they get married in January of the next year and file separate returns, each as a single taxpayer, their total tax liability would be:
Leni's tax liability: $45,182
Thom's tax liability: $45,182
Total tax liability: $90,364
Therefore, getting married in December and filing a joint return would result in a lower tax liability by: $90,364 - $24,447 = $65,917.
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The temperature rose 5 degrees from 6:00am to 12:00pm.
Answers
The average rate of change per hour in the temperature is 0.83 degrees.
What is the average rate of change per hourTo find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.
The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.
Therefore, the average rate of change per hour can be calculated as follows:
average rate of change per hour = total change in temperature / number of hours
So, we have
average rate of change per hour = 5 degrees / 6 hours
average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)
So, the average rate of change per hour is 0.83 degrees.
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how do i solve this please help
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The percentage of Container B that is full after the pumping is complete is 77.2%.
How to find the percentage ?To find the percentage of Container B that is full after the water from Container A is pumped into it, we first need to find the volume of both containers.
The volume V of a cylinder can be calculated using the formula:
V = πr²h
Volume of Container A (V A) = π x (10^2) x 20 = 2000π cubic feet
Volume of Container B (V B) = π x (12^2) x 18 = 2592π cubic feet
Percentage = (V A / V B) x 100
Percentage = (2000π / 2592π) x 100
Percentage = (2000 / 2592) x 100 = 77.1604938
To the nearest tenth, the percent of Container B that is full after the pumping is complete is approximately 77.2%.
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Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Answers
The correct answer is: The IQR of 13 is the most accurate to use, since the data is skewed. (Option B).
The correct answer is: Together, Streetcar and Cable Car are the preferred transportation for 168 residents. (Option A).
The correct answer is: The IQR is the best measure of variability, and it equals 6.
How to Solve the Problem?1. Since the data is skewed, it is not appropriate to use the range as a measure of variability. The range is sensitive to extreme values and can be misleading in skewed data. The interquartile range (IQR) is a better measure of variability for skewed data since it is not affected by extreme values. Therefore, the charity should use the IQR of 13 as the measure of variability for this data.
2. From the circle graph, we can draw the following conclusion:
Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the residents. 42% of 400 is 168 residents.
3. The line plot shows that the data is discrete and not continuous. Also, the data is not normally distributed and is skewed. Therefore, the range is not an appropriate measure of variability. The interquartile range (IQR) is a better measure of variability for skewed data. The IQR is the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data.
From the plot, we can see that Q1 is 2 and Q3 is 8. Therefore, the IQR is 8 - 2 = 6.
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A teacher has a prize box that has 6 fidgets,2 rubix cubes,and 2 pop its-as well as a bag of candy that has 4 lollipops and 3 fieces of chocolate. Esther wins the weekly prize in class and can pick one toy from the prize box and one candy from the candy bag. What is the probability she will pick a fidget and a piece of chocolate?
Answers
The probability of Esther picking a fidget and a piece of chocolate is 3/14.
How to obtain the probabilityTo obtain the probability, we first need to list the items and then determine the chances of them being picked. Fisrt, there are a total of 12 items in the prize box and 7 items in the candy bag.
The probability of Esther picking a fidget from the prize box is 6/12 or 1/2, and the probability of her picking a piece of chocolate from the candy bag is 3/7. Since these events are independent, we can multiply their probabilities to find the probability of both events occurring:
P(fidget and chocolate) = P(fidget) x P(chocolate)
P(fidget and chocolate) = (1/2) x (3/7)
P(fidget and chocolate) = 3/14
Therefore, the probability of Esther picking a fidget and a piece of chocolate is 3/14.
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3) During the last week of April, Ryan Foss produced 900 dolls. Ryan
receives $.96 per doll, less any defective units. What was Ryan's
gross pay for the last week of April?
Answers
Ryan's gross pay for the last week of April was $864, assuming that 96% of the dolls produced were non-defective.
What was Ryan's gross pay for the last week of April?If Ryan produced 900 dolls during the last week of April and receives $.96 per doll, his gross pay before any defective units are taken into account is:
900 dolls x $0.96/doll = $864
If we need to check if a certain percentage of the dolls produced were defective, we can multiply the gross pay by the percentage of non-defective units to find Ryan's actual gross pay.
For example, if 95% of the dolls produced were non-defective, Ryan's gross pay would be:
$864 x 0.95 = $820.80
Therefore, Ryan's gross pay for the last week of April was $820.80, assuming that 95% of the dolls produced were non-defective.
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help! as soon as possible
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The quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
Explain about the features of kite:A quadrilateral known as a kite has four sides that may be grouped into two adjacent pairs of equal-length sides, and the diagonals cross each other at right angles. The quadrilateral is a polygon with four sides.
Kite's two diagonals meet at a right angle to form its properties.A kite's primary diagonal is symmetrical.The diagonal's primary opposed angles are equal.A set of congruent triangles having a common base can be thought of as the kite.The kite is split into two isosceles triangles by the shorter diagonal.Thus, the quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
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Find the missing measures in a circle in a square
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The measure of the missing angle in the cyclic quadrilateral is 104°
Circle Geometry: Calculating the measure of the inscribed angleFrom the question, we are to determine the measure of the inscribed angle in the given diagram
In the given diagram, we have a cyclic quadrilateral.
From one of the circle theorems, we known that
The sum of the opposite angles of cyclic quadrilateral are supplementary. That is they sum up to 180 degrees.
Let the unknown angle measure be x,
Then,
We can write that
x + 76° = 180°
x = 180° - 76°
x = 104°
Hence, the missing angle measure is 104°
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PLEASE HELP ME WITH THIS QUESTION IF YOU DO I WILL APPRECIATE IT AND ILL GIVE BRAINLYIEST!
Justin wants to buy a frame for his painting. The frame is 22 1/2 inches wide and 26 1/2 inches long around the exterior. The wood all around the frame is exactly 2 1/2 inches wide. How big does Justin's painting need to be to fit in this frame?
Answers
The size of Justin's painting that needs to be to fit in this frame is 530 square inches
How to determine the areaIt is important to note that the formula for the area of a rectangle is expressed with the equation;
A = lw
Such that the parameters of the formula are;
A is the area of the rectanglel is the length of the rectanglew is the width of the rectangleFrom the information given, we have that;
Width of the frame = 22 1/2 inches
Length of the frame = 26 1/2 inches
But the width around the frame = 221/2 - 2 1/2 = 45/2 - 5/2 = 20 inches
Substitute the values
Area = 20(53/2)
multiply the values
Area = 530 square inches
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The list shows the numbers of hours 5 employees worked at a store.
14 23 26 40 26
What is the mean of the numbers of hours worked by the employees?
Enter your answer as a decimal in the box provided.
Answers
Therefore, 25.8 hours per employee each week is the mean number of hours worked.
What does that mean?The mean in mathematics is the average value among a group of numbers. It is calculated by adding up all of the set's numbers, then dividing the result by the total number of numbers in the set.
You may calculate the mean, for instance, if you have the set of numbers 2, 4, 6, and 8, by adding them all together and dividing by the total number of numbers:
(2 + 4 + 6 + 8) / 4 = 20 / 4 = 5
Consequently, 5 is the mean of these numbers.
In this instance, a store employed 5 workers for varying shifts. The list displays each individual's hours worked.
14 23 26 40 26
We add up all of these numbers and divide by the total number of numbers to determine the mean:
(14 + 23 + 26 + 40 + 26) / 5
= 129 / 5 mean of the numbers of hours worked by the employees = 25.8
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The graph of line m is shown. What is the
equation of the line that is perpendicular to line
m and passes through the point (3,2)?
WRITE IN POINT SLOPE FORM
Answers
Answer:6
Step-by-step explanation:
Find the area of the shaded region for each composite figure.
Answers
The area of the shaded region is 192 m².
We have,
(g)
The shaded region.
= Area of the rectangle - Area of the triangle
So,
Length = 16 m
Width = 18 m
Area of the rectangle.
= 16 x 18
= 288 m²
And,
Base² + 16² = 20²
Base² = 400 - 256
Base = √144 = 12
So,
Area of the triangle.
= 1/2 x base x height
= 1/2 x 12 x 16
= 96
Now,
The shaded region.
= Area of the rectangle - Area of the triangle
= 288 - 96
= 192 m²
Thus,
The area of the shaded region is 192 m².
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Find the probability
Answers
The probability that point X is on segment DE is given as follows:
1/9.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The length of segment AE is given as follows:
28 - (-8) = 36 units.
The length of segment DE is given as follows:
28 - 24 = 4 units.
Hence the probability is given as follows:
p = 4/36
p = 1/9.
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Roger can finish his math homework in 6 hours. Trish can finish the
same homework in 5 hours.
What part of the homework will Roger and Trish finish if they
work together for 1 hour?
Answers
In linear equation, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
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Frahan travels from Town A to Town B at an average speed of 4 Km/h and from Town B to Town A at an average
speed of 3 Km/h. He takes 25 minutes to complete the entire journey.
(a) Convert 25 minutes into hours.
(b) Find his total distance travelled.
Answers
to convert 25min into hours we divide 25 by 60 so the answer would be 0.416 hours
the formula to find the distance is we multiply speed and time so
distance=4km/p X 0.416 hours =1.664
so now we have the first answer
now we do the same thing for the other part of the question
distance= timeXspeed
distance=0.416X3=1.248
then we add to find total distance
1.248+1.644=2.912
2.912 is the total distance
Using the calculus rule, how could the following derivative be rewritten as 2 partial derivatives?(dx/dz) at constant y
Answers
Using the calculus rule, we can rewrite the total derivative (dx/dz) at constant y as the sum of two partial derivatives.
The total derivative (dx/dz) at constant y can be rewritten as the sum of two partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y
Apply the chain rule
The chain rule in calculus allows us to find the derivative of a function with respect to another variable, by considering how the intermediate variables change.
In this case, we want to find (dx/dz) at constant y.
The chain rule states:
(dx/dz) = (dx/dy)*(dy/dz) + (dx/dz) at constant y
Identify the partial derivatives:
Since we want to rewrite (dx/dz) as a sum of two partial derivatives, we will keep the terms (dx/dy) and (dy/dz) as partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y
Final answer
The total derivative (dx/dz) at constant y can be rewritten as the sum of two partial derivatives:
(dx/dz) = (∂x/∂y)*(∂y/∂z) + (∂x/∂z) at constant y.
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 write a division expression for each 2. 5/6,3. 9/15,4. 10/25,5. 16/31
Answers
The division expressions are given below.
Given are divisions, we need to write their division expressions,
5/6 = 5÷6
9/15 = 9÷15 = 3÷5
10/25 = 10÷25 = 2÷5
16/31 = 16÷31
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In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help i well give brllant
Answers
The scale factor was used for each dilation are-
Part a: For ΔABC - scale factor = 2Part b: For ΔDEF - scale factor = 1/2Part c: For ΔGHJ - scale factor = 1/3Part d: For ΔKML - scale factor = 3Explain about the dilation:A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.
A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Thus, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Thus, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ -
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Thus, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Thus, For ΔKML - scale factor = 3
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Answers
The measure of the angle LAF is 4°
Explain the term angle
An angle is a geometric figure formed by two rays that share a common endpoint called a vertex. The rays are usually referred to as the sides of the angle. Angles are measured in degrees or radians and are used in various fields, including mathematics, physics, and engineering, to describe and calculate shapes and movements.
According to the given information
Here we have:
mYL + mSF = 360°
We also know that mYS = 48 degrees and mLF = 160 degrees. Since arc YS and arc LF are on the same circle, they must add up to 360 degrees. Therefore:
mYS + mLF + mYSF = 360°
Substituting the given values, we have:
48 + 160 + mYSF = 360°
Simplifying and solving for mYSF, we get:
mYSF = 152°
Now we can find the measure of the central angle LSF that intercepts arc LF by subtracting mYSF from the measure of the arc LF:
mLF - mYSF = 160 - 152 = 8°
Finally, we can find the measure of angle LAF by dividing the central angle LSF in half, since angle LAF is an inscribed angle that intercepts arc LF:
mLAF = 1/2 * mLSF = 1/2 * 8 = 4°
Therefore, m/LAF = 4 °
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marvin is trying to get to his friend's house. he walks 4 blocks north to the park, then turns right and walks 3 blocks. finally he turns right and walks 4 blocks. how far from his starting point does he wind up?
Answers
Answer: Marvin walks a total of 4 + 3 + 4 = 11 blocks.
To find how far he is from his starting point, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the 4 blocks north and 3 blocks east form the legs of a right triangle, and the distance Marvin is from his starting point is the hypotenuse.
So we can calculate it as follows:
distance = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
Therefore, Marvin is 5 blocks from his starting point.
Step-by-step explanation:
the mean of a normal probability distribution is 480; the standard deviation is 12. a. about 68% of the observations lie between what two values?
Answers
The difference between two observation concerning the values are 68% of observation lie in between 468 and 492 , then 95% of observation lie in 456 and 504.
The normal distribution is considered a continuous probability distribution that has a different bell-shaped probability density function. Therefore, the mean of a normal distribution is the center of its symmetric bell-shaped curve.
Therefore it is given , a normal distribution with mean of 480 and standard deviation 12
Lower limit = Mean - Standard deviation = 480 - 12 = 468
Upper limit = Mean + Standard deviation = 480 + 12 = 492
Following the same procedure then the results to evaluate for 95%
The difference between two observation concerning the values are 68% of observation lie in between 468 and 492 , whereas 95% of observation lie in 456 and 504.
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For the sequence below, which of the following functions best defines this sequence? 7, 13, 19, 25, 31, 37, ...
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The function which defines the best fit for the sequence 7,13,19,25,31,37,.... is An= [tex]A_{n-1}[/tex]+6
what is a sequence?A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm. If a1, a2, a3, a4,... etc. represent the terms in a series, then 1, 2, 3, 4,... represent the term's position.
A sequence can be classified as either an infinite or a finite sequence depending on the number of terms.
The equivalent series is given by if a1, a2, a3, a4,....... is a sequence.
Sn = a1 + a2 + a3,a4..... + an
Note: Depending on whether the sequence is finite or infinite, the series is either infinite or finite.
here in this problem,
a2=13⇒ [tex]A_{n} =A_{n-1} +6[/tex] ⇔ [tex]A_{2}[/tex]=7+6=13
and so on for 3rd, 4th, 5th and nth term.
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