The solutions and probabilities are,
(a)
P(X < 100) = 0.748
P(X < 200) = 0.936
P(100 < X < 200) = 0.188
(b) P(X > M+2σ) = 0.0498
(c) Median = 50.01 m
Given data,
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter,
λ = 0.01386
[tex]F(x) = 1 - e^-^λ^x[/tex]
(a)
The probability that the distance is at most 100 m is,
[tex]F(100) = 1 - e^-^0^.^0^1^3^8^*^1^0^0[/tex] = 0.748
The probability that the distance is at most 200 m is,
[tex]F(200) = 1 - e^-^0^.^0^1^3^8^*^2^0^0[/tex] = 0.936
The probability that the distance is between 100 and 200 m is,
F(200) - F(100) = 0.936 - 0.748 = 0.188
(b)
The probability that distance exceeds the mean distance by more than 2 standard deviations
Mean, μ = 1/λ = 1/0.01386 = 72.1501
Standard deviation, σ = 1/λ = 72.1501
Value more than 2 SD from mean = µ + 2*σ
= 72.1501 + 2*72.1501 = 216.4503
Probability of greater than 216.4503,
P(X > 216.4503) = e^(-0.0139 * 216.4503)
= 0.0498
(c)
The value of the median distance is,
Median = ln(2) / λ
= ln(2) / 0.0138 = 50.01
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why does the light bulb in a circuit turn on when the switch is closed? responses the switch changes the circuit from series to parallel. the switch changes the circuit from series to parallel. the switch changes the direction of the flow of electrons. the switch changes the direction of the flow of electrons. the switch absorbs the electrical energy. the switch absorbs the electrical energy. closing the switch completes the circuit, making it a closed circuit. closing the switch completes the circuit, making it a closed circuit.
A closed circuit is required to carry current. If there is a break anywhere in the path, the circuit will open and no current will flow, and the metal atoms in the wire will quickly become peaceful and electrically neutral.
Current flows in a closed circuit, but electrons are left behind in an open circuit.
Imagine a gallon of water flowing through an open pipe. Water flows for a short time, but stops when all the water comes out of the pipe. If you pump water into a closed system of pipes, it will continue to flow as long as you force it to move.
Closed circuit design:
breaks are often created by design. For example, a simple light switch opens or closes the circuit that connects the light to the power source. When building a circuit, it is recommended that the battery or other power source be disconnected when the circuit is not in use. Technically, this creates an open circuit. The
extinguished flashlight is an open circuit. In the flashlight shown here, the flat black button on the bottom left controls the internal switch. A switch is nothing more than two flexible metal strips in close proximity to each other. Push the black button all the way to the right to open the switch and turn off the flashlight. The switch in the open position disconnects the bulb from the battery, creating an open circuit.So, for the light bulb in a circuit turn on when the switch is closed.
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The cost, c(x), for a taxi ride is given by c(x) = 3x + 2. 00, where x is the number of minutes. What does the slope mean for this situation?.
The slope of the given function of taxi fare mean the rate of change of the cost of the taxi ride is $3.00 per minute..
What is slope in general equation of line?
In the situation y = mx + c the worth of m is known as the slant, (or angle), of the line. It very well may be positive, negative or zero. Lines with a positive inclination slant upwards, from left to right. Lines with a negative inclination slant downwards from left to right. Lines with a zero inclination are level.
According to question:C(x) = 3x + 2
On comparing with the general equation of line. we get
slope = 3
slope = cost/time
Which says the rate of change of the cost of the taxi ride is $3.00 per minute.
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In The Xy -Plane Above, Point C Has Coordinates (6, 9). Which Of The Following Is An Equation Of The Line That Contains Points O And C? A. Y = x-3 B. Y = x+3 C. Y= 2/3x
D. Y= 3/2x
For the given xy-plane where point C coordinates are (6,9) then equation of the line containing point O and C is given by y = ( 3/2)x.
As given in the question,
Given xy -plane,
Coordinates of the point C are (6, 9)
Coordinates of the point O are (0, 0)
Let ( x₁ , y₁) = ( 0, 0)
(x₂ , y₂) = (6, 9)
Equation of the line containing point O and C are :
( y - y₁)/(x - x₁ ) = ( y₂ - y₁)/(x₂ - x₁)
⇒ ( y -0)/(x - 0) = ( 9 - 0)/( 6 - 0)
⇒ y / x = 9 /6
⇒ y = (3/2)x
Therefore, for the given xy-plane where point C coordinates are (6,9) then equation of the line containing point O and C is given by y = ( 3/2)x.
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how many paths are there from point (0,0) to (50,50) if every step increments one coordinate and leaves the other unchanged?
To figure how many paths there are from (0,0) to (50,50) on a Cartesian coordinate system is using the legal moves, move up and move right. The formula that can be used is ((x+y)¦x). Here the steps;
Each path from point (0,0) to (50,50) will contain 50 rightward steps (i.e. progressive along the x-axis) and 50 upward steps (progressive along y-axis), resulting in a total of 100 steps, therefore we have ((x+y)¦x)= ((50+50)¦50) = (100¦50) ways of creating such a path.
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just three exercises!!!!! please i need this asap
3. Surface area of cone is 678.24 in²
Volume of cone is 1017.4 in³
4. Surface area of Cuboid is 1534 sq meters
Volume of Cuboid is 4080 cubic meters
5. Surface area of cylinder is 376.8 sq centimeters
Volume of cylinder is 549.5 cubic centimeters
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
Cone radius r = 9 in
h height = 12 in
Slant height, l² =9²+12² = 81+144 => l=15 in
Volume = (1/3)πr²h = (1/3)*3.14*9²*12 = 1017.4 in³
Surface area = πr² + πrl
= 3.14*9²+3.14*9*15
=254.34 + 423.9 = 678.24 in²
Cuboid volume =17*16*15 = 4080 cubic meters
Surface area = 2 ( 17*16 + 16*15 + 15*17) = 1534 sq meters
cylinder Volume = πr²h = π(5)² * 7 = 549.5 cubic centimeters
cylinder Surface area= 2πr(r + h ) = 2*3.14*5(5+7) = 376.8 sq centimeters
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When finding the 8th term of the following expansion, (3x – 5)12 which of the following would be the correct notation before simplifying? (3x)^(-5) O "-5 7 (13)** (3-0 ( 12 )(3x)(-5) (3) 13:23 ** ° ( 3 )(3-4-5) (3x)*(-5)4 8 8 12 ° (13) 3044-5 39 (3x)^(-5)8 8 None of these 12 -5 9 O (13)(3x)?(-5) (13)(3-7-3) (13)(°457 12 7 12 (3x) (
The correct notation for the 8th term of the expansion (3x – 5)12 would be (3x)^(-5)8.
What is expansion?The term "expansion" describes the process of expanding or expanding. It can be used to describe actual expansion, such as when an organism gets bigger or a gas expands to fill a container. It can also relate to abstract notions such as the development of thoughts or knowledge. Extension in economics refers to growth in the size of the economy or in a specific sector of the economy, such as a rise in goods and services output. The process of conquering or occupying additional areas, such as when a nation extends its borders by conquest or settlement, is another definition of expansion. The act of growing larger or more extensive is generally referred to as expansion.
How to solve?
(3x – 5)12 = (3x)12 – 12(3x)11(5) + 66(3x)10(5^2) – 220(3x)9(5^3) + ... + (-5)12
The 8th term of the expansion (3x – 5)12 is (-5)8(3x)4, which can be written as (3x)^(-5)8.
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please help!!! i mark brainiest !!!a line is perpendicular to y=3x-8 and intersects the point (6,1). input the correct values into the point slope formula
Answer:
y -1 = -1/3 (x -6)
Step-by-step explanation:
Peter mixes 413 cups of orange juice, 213 cups of ginger ale, and 612 cups of strawberry lemonade to make some punch. What is the total number of cups of punch that peter makes?.
The total number of cups of punch that peter makes is 13 1/6.
Define the term mixed fraction?The mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any 2 whole numbers.The sum of the values 4 1/3, 2 1/3, and 6 1/2 is required. To make adding easier, let's first turn them into improper fractions:
= 13/ 3 + 7/3 + 13/2
We can now simplify it because two of a fractions use the same denominator, resulting in the following:
= 30/3 + 13/2
Next, we must determine which of the two fractions has the lowest common denominator.
We may modify our denominator to 6 because that is the smallest number so both 2 and 3 can fit in:
= 23/3 x (2/2) + 13/2 x (3/3)
= 40/6 + 39/6
= 79/6
We should change this back into such a mixed number for our response:
= 79/6
= 13 1/6
Thus, the total number of cups of punch that Peter makes is 13 1/6.
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The correct question is-
Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is the total number of cups of punch that Peter makes?
describe 3 or 4 other potential sources of error that may affect your results and explain why that will change the calculated answer.
The possible sources of inaccuracy that could have an impact on your results are -
Interfaces that are incompatible.Not enough time to do the assignment.Conditions that are not tested.Define the term Experimental error?While conducting a scientific experiment, numerous errors—either systematic or random—could happen.
Errors may result from the calibration of the equipment, the preparation of the solution, or the mass- or volume-based measurements. The precision of the investigation and the recovery of the products can both be impacted by experimental mistakes. The stock solution could be diluted by the student using an inaccurate volume measurement, leading to a higher concentration over desired. For instance, the student might pipette their stock solution before dilution and accidentally add extra volume. On the other hand, if the learner adds less water than is required for dilution, the concentration will likewise be higher.Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.
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Fifteen times a number added to half the number gives 62. Find the number.
Step-by-step explanation:
x = the number
15x + x/2 = 62
30x + x = 124
31x = 124
x = 4
note that y in problem 1 is called the sample mean of observations x. in all applications, based on some assumptions, we use sample mean in order to calculate the statistical mean of observations. the difference between the statistical mean of y and the sample mean represents the error of calculating the mean of y using sample mean. now, consider that:
In order for the two-sample z statistic to be valid we need that the following assumptions hold samples must be random
data has to be continuous
each sample and population must be independent from each other
each population must be normally distributed
the population standard deviations must be known or the sample sizes must be ≥ 30
samples must be random
data has to be continuous
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Is 15 a multiple or factor of 5?.
Answer:
Multiple
Step-by-step explanation:
A multiple of 5 is anything that it can multiply into. For example: 5, 10, 15, 20, 25 and so on.
A factor is a number that divides into your number and leaves no remainder. An example of this is 2 is a factor of 4. 15 is not a factor of 5 because it cannot divide evenly. The only factors of 5 are 1 and 5.
Solve x2−x−3=0 by completing the square.
If the solutions are real rational numbers, list from least to greatest separated by a comma.
If the solutions are not real numbers, write your answer in the form a ± bi.
If the solutions are irrational, write your answer in simplified radical form, using ± to express both solutions.
let's start by grouping the terms with the variable first, so that'd be
(x² - x) -3 = 0
(x² - x + []²) = 3
now, the middle term in a perfect square trinomial is simply the product of "2" and the root of the terms on the left and right sides, so whatever that product is, we know it must yield "x" because that's our middle term above skipping its sign, so hmmm let's check around
[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] ~\dotfill\\\\ (x^2 - x +\square^2)=3 \\\\\\ 2\sqrt{\square^2}\sqrt{x^2}~~ = ~~x\implies 2\square x=x\implies \square=\cfrac{x}{2x}\implies \square=\cfrac{1}{2}[/tex]
so that's our missing value, now ( 1/2 )² is 1/4, however, let's recall that, all we're doing is borrowing from our very good friend Mr. Zero, 0, so if we add 1/4 we also have to subtract 1/4
[tex]\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right)=3\implies \left(x^2-x+\cfrac{1}{4} \right)-\cfrac{1}{4}=3 \\\\\\ \left(x^2-x+\left( \cfrac{1}{2} \right)^2 \right)=3+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{13}{4}\implies x-\cfrac{1}{2}=\pm\sqrt{\cfrac{13}{4}} \\\\\\ x-\cfrac{1}{2}=\pm\cfrac{\sqrt{13}}{2}\implies x=\pm\cfrac{\sqrt{13}}{2}+\cfrac{1}{2}\implies \boxed{x=\pm\cfrac{\sqrt{13}+1}{2}}[/tex]
When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle it means that we are going to use what postulate?.
When two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in AAS or ASA congruency.
What is meant by the term SAS congruency?The Angle-Side-Angle Postulate (ASA) states that two triangles are congruent if their two included sides and two included angles are congruent.And we show that triangles ABC and DEF are congruent by applying the Angle-Side-Angle Postulate, as seen in the image to the right.AAS Congruency:
In contrast, two triangles are congruent if their respective non-included sides are congruent with two angles from one triangle and two angles from another, according to the Angle-Angle-Side Postulate (AAS).The triangles ABC and QPR are also shown to be congruent using the Angle-Angle-Side Postulate, as seen in the illustration to the right.Therefore, when two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in ASA or AAS congruency.
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A mathematics teacher wanted to see the correlation between test scores and homework The homework grade (x) and test grade (y) are given in the accompanying table: Write the linear regression equation that represents this set of data rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade; to the nearest integer, for student with homework grade of Homework Grade (x) Test Grade (y) 79 68 78 79 89 82 59 73 85 72 63 90 74 87 79 Copy Vulues for Calculator Open Stalistics Cakculator Regression Equation: Final Answer: Sabmnlt Aniwrer
the linear regression equation that represents this set of data rounding all coefficients to the nearest tenth is ŷ = 0.23571X + 75.24762
Sum of X = 120
Sum of Y = 1157
Mean X = 8
Mean Y = 77.1333
Sum of squares = 280
Sum of products (SP) = 66
Regression Equation = ŷ = bX + a
b = 66/280 = 0.23571
a = 77.13 - (0.24*8) = 75.24762
ŷ = 0.23571X + 75.24762
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disinfection of dental impressions should last minutes. disinfection of dental impressions should last minutes. 5 15 30 60
Disinfection of dental impressions should last b)15 minutes. So, correct option is b.
Disinfection of dental impressions is an essential routine that actually aims to protect the dental personnel, who handle impressions or casts, against exposure to diseases brought about by the contact with microorganisms such as the viruses; hepatitis B, hepatitis C, herpes, and HIV, and Mycobacterium tuberculosis (Hemalatha & Ganapathy, 2016).
Impression materials that have been exposed to the infected saliva and blood provides a significant source of such infectious agents. Dental checkups are increasing now a days very frequently.
Hence, option b is correct.
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(Complete question) is:
disinfection of dental impressions should last minutes. a)5 b)15 c)30 d)60
the bottom of a 10-foot ladder is 2 ft closer to the wall than it is up the wall. how far is the ladder up the wall?
The ladder is 26ft far up to the wall if the bottom of a 10-foot ladder is 2 ft closer to the wall.
What is meant by length?A unit of length is any arbitrarily defined and agreed reference standard for measuring length.
The measurement or extent of something from end to end is defined as its length. In other words, it is the larger of two or the highest of three geometrical shapes or objects' dimensions. A rectangle, for example, has length and width dimensions.
Distance on the ground = 10 feet
Length of the ladder (hypotenuse) = x
Height on the wall = x-2
According to the Pythagorean theorem of a right angle,
a²+b²=c²
100 + (x-2)² =x²
100 + x² -4x + 4 = x²
100 -4x + 4 = 0
104 - 4x = 0
-4x = -104
x = 26ft
The ladder is 26ft far up to the wall.
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suppose that $2000 is loaned at a rate of 12% compounded quarterly. assuming that no payments are made, find the amount owed after 3 years. do not round any intermediate computations, and round your answer to the nearest cent.
The total amount owed after 3 years with the given rate of interest compounded quarterly will be $2851.52.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
Principle amount P = $2000
Rate of interest R = 12%
Compounded quarterly n = 4
Time period T = 3 years
Total amount = P{1 + R/n]^(nT)
Total amount = 2000[1 + 0.12/4]^(4×3)
Total amount = $2851.52
Hence "The total amount owed after 3 years with the given rate of interest compounded quarterly will be $2851.52".
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find area and perimeter of the shape below ***SHOW ALL WORK***
Answer:
Here it is :)
Step-by-step explanation:
if this is incorrect, correct me and explain why so you won’t make this mistake I made when you do this on you own!
Question 9 (2 points)
Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?
Enter your answer in the box below.
f(3) =
Type the correct answer in the box. Use numerals instead of words. A regular pentagonal prism has a volume of 2,850 cubic millimeters. What is the height of the prism? a regular pentagonal prism with height labeled h. The pentagonal base has side edge labeled 12 millimeters. Apothem from center to a base edge is labeled 5 millimeters. The height of the prism is millimeters.
The required height of given regular pentagonal prism is 19 millimeters.
What is the volume of regular pentagonal prism ?We work out the volume of a pentagonal crystal utilizing the recipe is V = 5/2abh where this equation is additionally perceived as V = [1/2 × 5 × base length × apothem] × level of the crystal. The qualities are placed in the recipe and compose the response so got in cubic units.
According to question:We have,
volume of regular pentagonal prism = 2850 cubic millimeters.The pentagonal base has side edge labeled 12 millimeters.Apothem from center to a base edge is labeled 5 millimetersThen
V = 5/2abh
2850 =( 5×12×h)×5/2
h = 19 millimeters
Thus, required height of the pentagonal prism is 19 millimeters.
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Answer:
19 millimeters
Step-by-step explanation:
i took the test and got right hope this helps :)
USE OF SOH CAH TOA
Find the value of x and y
Answer:
Step-by-step explanation:
They are giving you the parts to plug into the quations that SOH CAH TOA helps you recall
SOH = Sin(∅) = Opp / Hyp
CAH = Cos(∅) Adj / Hyp
TOA = Tan(∅) = Opp / Adj
if the above isn't enough help, then look at which one of the formulas above has two parts of information given in the question and then, you need to find the last one.
I see that TOA has two parts of info, and then we only need to find Adj. understand?
we will find X this way. Adj = X
use the formula and then plug in the knowns
Tan(35°) = 574 / Adj
Tan(35°) = 574 / X
X = 574 / Tan(35°)
understand how I got to that?
once you have X , use pythagoras to find Y
[tex]y^{2}[/tex] = [tex]x^{2}[/tex] + [tex]574^{2}[/tex]
got it?
Consider the formula Distance = speed*time or D = st. Suppose you work 20 miles from your home.
How long would it take to get to work if you were able to travel at a speed of 30mph?
What about 40mph? 50mph?
What do you notice about the relationship between your speed and how long it takes to get to work? Show all work
The time taken to get to work from home with a speed of 30mph will be 40 minutes, 40mph in 30 minutes, and 50mph in 24 minutes.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
Average velocity can be given as;
Average velocity = total distance / total time taken
Units of velocity are given by ⇒ meter/second
As per the given,
Time = distance/speed
Distance = 20 miles
With a speed of 30 mph
Time = 20/30 = 2/3 hour or 40 minutes
With a speed of 40 mph
Time = 20/40 = 1/2 hour or 30 minutes
With a speed of 50 mph
Time = 20/50 = 2/5 hour or 24 minutes
Hence "The time taken to get to work from home with a speed of 30mph will be 40 minutes, 40mph in 30 minutes, and 50mph in 24 minutes".
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A you top your car at a traffic light, a pebble become wedged between the tire tread. When you tart off, the ditance of the pebble from the pavement in relation to the ditance you have traveled can be modeled with a inuoidal function. Aume that the diameter of the wheel i 24 inche. Which equation BEST model thi ituation?
A y = 12co(112x) 12y = 12co( 1 12 x) 12
B y = -12co(112x) 24y = -12co( 1 12 x) 24
C y = -12co(112x) 12y = -12co( 1 12 x) 12
D y = -12co(112x) - 12
The equation that best suits the sinusoidal function model in this situation is the option:
(C) y = -12cos(1/12x)+ 12.
What is the sinusoidal funtion?
A sine-based function is one that smoothly oscillates between high and low values on a periodic basis. This type of function is known as a sinusoidal function. The cosine function, which is merely a horizontal shift of the sine function, can also be used as the foundation for sinusoidal functions.
A sine wave, also known as a sinusoidal wave or simply a sinusoid, is a mathematical curve that can be described in terms of the sine trigonometric function, whose graph it is. It is a particular kind of smooth periodic function and continuous wave.
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16 deliveries in 4 hours is a unit rate of ______ deliveries per hour.
Answer: 4 deliveries per hour
Step-by-step explanation:
16 divided by 4 = 4 deliveries
Aubrey practice the piano 1890 minute in 5 week. At what rate did he practice, in minute per day?
Aubrey has practiced piano at the rate of 54 minutes per day.
What is a unit conversion in mathematics?
Unit conversion is a multi-step process that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
Aubrey practices the piano for 1890 minutes in 5 weeks.
In one week there are 7 days.
So the total number of days will be = 5 * 7
= 35 days.
So Aubrey has practiced piano at the rate of = 1890/35 minutes per day
= 54 minutes per day.
Hence, Aubrey has practiced piano at the rate of 54 minutes per day.
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many new york urban area kids resorted to what manner of making money as a possible way out of their life in the 1980's and 1990's?
In the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.
Drugs selling during 1980s and 1990s:The crack epidemic that ravaged New York City with in 1980s was beginning to fade by the early 1990s, and crime rates were also declining.
But in some districts of New York City, drug trafficking has grown so visible and widespread that it seems like everyone is aware of where it is happening and who is involved. However, getting rid of it is a different story.A significant number of drug sellers operate shamelessly and without concern for being apprehended. This is demonstrably true the Police Department's stated intention to crack down upon street-level sales and the significant funds invested in the Tactical Narcotics Team (T.N.T.)Thus, during the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.
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What are the 4 steps to solving inequalities?.
For solving the inequalities, there are more than four steps.
The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to Subtract the same number from both sides and the third step is to Multiply both sides by the same positive number, and the fourth step is to Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.
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The average neeze can travel mile in
100
econd. At thi rate, how far can it travel
1
one minute? (3 econd = 20 minute)
The distance traveled in 3 seconds is 3/100 miles.
The term "Distance Traveled" describes how far an object has traveled during a specified amount of time to get to its destination. Or The path that a body takes to go a specific distance at a certain speed from one location to another is known as the distance traveled.
The distance can travel in 1 minute.
In order to find the distance traveled in 1 minute, first we need to find the distance traveled in 1 second.
In 3 seconds it can travel 3/100 miles. So, in 1 second it can travel
= 3/100 × 3
= 1/100 miles.
Now, we know that in 1 minute there are 60 seconds. So, in 1 minute it can travel
= 1/100 × 60
= 1/10 × 6
= 6/10
= 0.6 mile
Hence, it can travel 0.6 miles in a minute.
Complete question:
The average sneeze can travel 3/100 mile in 3 seconds. at this rate how far can it travel in 1 minute
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baby weights, part vi. exercise 9.3 presents a regression model for predicting the average birth weight of babies based on length of gestation, parity, height, weight, and smoking status of the mother. determine if the model assumptions are met using the plots below. if not, describe how to proceed with the analysis.
The model assumption are satisfied in histogram, residuals vs order of collection and residuals vs fitted values.
HIstogram
We can see from the histogram that the residuals are normally distributed, so the assumption that the errors are normally distributed is met.
residuals vs. the fitted values
We find a circular pattern where the errors are concentrated based on the residuals vs. the fitted values. indicating a breach of the assumption of equal variance (homoscedasticity). There is another nonlinear pattern that should be investigated.
Residuals vs. Order of collection
: Because the residuals are randomly distributed, the assumption of equal variance of the residuals is not violated.
Residuals vs. gestational length
A The gear concentration of the residuals in the shape of an oval indicate additional signals from the data that have not been modelled. As a result, the assumption of equal variance of the residuals is violated, and it may also indicate a nonlinear relationship between the dependent and independent variables. This problem can be solved by taking the log of the independent variable and normalising the data.
Parity vs. residuals
Because this is a binary variable, the plot provides no clear indication.
Residuals vs. mother's height
There is a clear oval pattern visible, indicating that the variable is violated.
Residuals vs. mother's weight
There is a clear oval pattern visible, indicating that the variable is violated.
Smoking vs. Residuals
Because this is a binary variable, the plot provides no clear indication.
Overall, this is the next step. We must examine the variables for multicollinearity. Because the residuals histogram is normally distributed, but the residuals vs fitted values has a violation.
We must determine whether the independent variables are correlated with one another. If they are correlated, we must discard the one that is least correlated with the target variable.
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