Answer:
a)what was concluded is spurious
b) what was concluded could betrue
Step-by-step explanation:
a) Considering the number in Michigan, there is higher number of crimes but considering the population in Minnesota, the population is much less than Michigan, considering the crime the crimes per capital with the population size, Therefore Minnesota could have more crimes than Michigan's so, The conclusion is not true.
b)There is reduction of crimes from 1991 to 2001, so it can be assumed that the population has increased over the times, therefore, the per capita number of crimes decreased.
To assess the crime comparison between Minnesota and Michigan, factors like population and crime rates per 100,000 inhabitants should be taken into account instead of raw totals, considering the FBI's data, including the Uniform Crime Reports and the incoming National Incident-Based Reporting System for enhanced data quality.
Explanation:When comparing crime rates between states like Minnesota and Michigan, simply looking at the raw numbers does not provide a sufficient analysis. The investigator's conclusion that Minnesotans are more law-abiding based on the comparison of total crimes between Minnesota and Michigan in 2001 ignores important factors that influence crime rates such as population size, demographic variations, economic conditions, educational levels, and urbanization rates. For a more accurate assessment, rates per 100,000 citizens should be calculated because they provide a comparison that accounts for population differences.
According to the Federal Bureau of Investigation (FBI), which publishes Uniform Crime Reports (UCR), there may be inconsistencies in data quality due to differences in reportage by law enforcement agencies. However, the UCR is one of the most comprehensive sources for crime data and is moving towards the National Incident-Based Reporting System (NIBRS) which will provide more detailed data, hopefully leading to better-informed discussions and effective crime prevention strategies.
To correctly interpret crime data, it is critical to consider the context, such as the presence of large cities like Detroit in Michigan, which can have higher crime rates. Nonetheless, crime patterns, such as higher auto theft rates in California and Washington as compared to New York and Wisconsin or varying homicide rates across states, suggest that regional differences can be significant. As the FBI indicates, crime types and their associated factors, like firearm access, can impact crime rates and resultant punitive measures.
Which of these pieces of data about a football team is considered numerical data?
Answer:
1. Points scored
Step-by-step explanation:
A numerical data is defined as a data that is made up of numbers representing the quantity of a measurement. It is a measurable data such as weight or height, at it can be arranged in ascending or descending order as well as being able to provide an average.
The two types of numeric data are discrete and continuous data
A categorical data is made up of item labels, names or description, that are qualitative in their nature.
Information about a football team that is considered as numeric includes
1. Points scored
Which represents a quantifiable measurement that can be different with different teams and matches
2. Attendance this year.
In 24 games, Jaime has 48 scoring attempts. Which unit rate describes Jaime’s scoring attempts?
a. 1/2 a scoring attempt per game
b. 2 scoring attempts per game
c. 24 scoring attempts per game
d. 72 scoring attempts per game
Answer:
2 Scoring Attempts
Step-by-step explanation:
There are 48 attempts divided by 24 game which equals 2.
Answer:
it is b
Step-by-step explanation:
Gabriella has the following winter accessories:
1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white
Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.
Answer:
1/20
Step-by-step explanation:
There are 20 possible probabilites/combinatins of what to wear, and wearing a coat, with a purple hat, black boots, and purple mittens is only 1 of those 20 probabilities so the answer is 1/20
6. A farmer needs to enclose a section of land in the shape of a parallelogram by using
one side of a barn for one side. The barn and the side adjacent to the barn form a 65°
angle. What is the measure of the angle opposite from this angle? (Circle the correct
answer.)
A. 35°
B. 65°
c. 115°
D. 25°
Answer:
C. 115 degrees
Step-by-step explanation:
Knowing one side of a circle is 180 degrees, we should subtract 180-65.
- 180-65=115 degrees
x + 8y = 2; (10, -1)
Jake has decided to give a bonus to the employee who has worked the greatest total number of hours over the past six months. Four candidates are currently up for consideration. The following graph shows how many hours each one has worked over the past six months.
A graph titled Hours Worked has name on the x-axis and Hours on the y-axis. For October: Vince, 130; Claire, 129; Joey, 134; Katharine, 122. For November: Vince, 135; Claire, 130; Joey, 121; Katherine, 131. For December: Vince, 131; Claire, 125; Joey, 119; Katherine, 134. For January: Vince, 133; Claire, 126; Joey, 127; Katharine, 133. For February: Vince, 134; Claire, 121; Joey, 132; Katharine, 115. For March: Vince, 118; Claire, 133; Joey, 134; Katharine, 140.
To which employee will Jake give the bonus?
a.
Vince
b.
Claire
c.
Joey
d.
Katharine
Please select the best answer from the choices provided
A
B
C
D
Answer:
The answer is A) Vince.
Step-by-step explanation:
Vince had 781 total hours. Claire had 764 total hours. Joey had 767 total hours. Katharine had 775 total hours. Therefore the person with the most hours, Vince, gets the bonus.
Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To determine who will receive the bonus, we need to calculate the total number of hours worked by each employee over the past six months.
For Vince:
130 + 135 + 131 + 133 + 134 + 118 = 781
For Claire:
129 + 130 + 125 + 126 + 121 + 133 = 764
For Joey:
134 + 121 + 119 + 127 + 132 + 134 = 767
For Katharine:
122 + 131 + 134 + 133 + 115 + 140 = 775
Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.
Hence, Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.
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If you punch a wall with a force of 30 N, what force will you feel in your fist??
Answer:
30N
Step-by-step explanation:
Normal reaction
The force feel by fist is 30N.
What is Force?
A Force is a push or pull upon an object resulting from the object's interaction with another object.
Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.
Since you punch a wall with a force of 30N, the fist will feel the same force in the opposite direction as per the Newton's Third Law of Motion.
Hence The force feel by fist is 30N.
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A rectangular red sticker is 8 millimeters wide and 5 millimeters tall. What is it’s area
Answer:
40 milimeters
Step-by-step explanation:
8*5=40
Rico does not work for Street Bikes Company,but wrongfully obtains inside information concerning the firm.Based on the information,Rico buys and sells Street Bikes stock for personal gain.The Securities and Exchange Commission prosecutes Rico,arguing that he is liable because he stole information rightfully belonging to another.This argument is:_________.
A) the blue-sky theory.
B) the misappropriation theory.
C) the free-writing prospectus theory.
D) the tipper/tippee theory.
Answer:
B) The misappropriation theory
Step-by-step explanation:
The misappropriation theory states that a person who uses insider information in trading securities has committed securities fraud against the information source.
In this case, Street Bikes Company is the information source because the information rightfully belong to them, Rico trades Street Bikes Stocks because he stole the firm's information which does not belong to him, according to the misappropriation theory, Rico is liable to the offence of insider trading.
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28+45)^2=73^2.Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.
Answer: She is incorrect because she should have squared each leg length and then found the sum.
The Pythagorean Theorem is a² + b² = c² not (a+b)²=c² as written.
Answer:
Answer is c)))
Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?
Answer:
The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.
Step-by-step explanation:
We are given the following in the question:
[tex]d=-0.25t^2+1.7t+3.5[/tex]
[tex]0\leq t\leq 7[/tex]
where, d is the depth of river in feet and t is time in hours after a heavy rain.
We have to find the number of hours for which the depth of river is 6 feet.
Putting d = 6 in the equation, we get,
[tex]6=-0.25t^2+1.7t+3.5\\\Rightarrow +0.25t^2-1.7t+2.5 = 0\\\text{Using quadratic formula}\\\\\Rightarrow t = \dfrac{1.7\pm \sqrt{(-1.7)^2-4(0.25)(2.5)}}{2(0.25)}\\\\t\approx 4.65, 2.15[/tex]
Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.
The attached image shows the graph.
If a fair die is rolled 4 times, what is the probability, to the
nearest thousandth, of getting exactly o threes?
The probability of not getting a '3' when a fair die is rolled four times, rounded to the nearest thousandth, is approximately 0.482.
Explanation:In a fair die, the probability of getting any one number, such as a 3, is 1/6 because a die has 6 possible outcomes (1 through 6). So, the probability of not getting a 3 is 5/6. If the die is rolled four times, the probability of not getting a 3 on each roll is (5/6)^4. To find this, multiply 5/6 by itself 4 times. The result is approximately 0.482, or rounded to the nearest thousandth, 0.482. So, "the probability of not getting a 3 on four rolls of a die to the nearest thousandth is 0.482."
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A computer is generating passwords. The computer generates six characters at random, and each is equally likely to be any of the letters or digits. Replications are allowed. What is the probability that the password will contain all letters?
Answer:
0.1419 ( (if upper and lower cases are interchangeable)
0.348 ( if upper and lower cases are distinct letters)
Step-by-step explanation:
Each digit has 36 possible choices as 26+10
computer generates six characters
there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)
For number of letters-only arrangements = [tex]26^{6}[/tex] = 308915776
For number of alphanumeric arrangements = [tex]36^{6}[/tex]= 2176782336
In order to find the probability of letters-only arrangements : [tex]\frac{308915776}{2176782336}[/tex]
=>0.1419
Now, in different scenario if upper and lower cases are not interchangeable.
We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices
Therefore, probability of letters-only arrangements will be [tex]\frac{52^{6} }{62^{6} }[/tex]
=>0.348
Answer:
The probability of all letters arrangement if the upper cases and the lower cases of the English alphabet are interchangeable = 14.2%
The probability of all letters arrangement if the upper cases and the lower cases are not interchangeable = 34.8%
Step-by-step explanation:
please kindly check the attached files for explanation.
Jalen is computing the slope of a line on the graph below. Which statement describes Jalens error?
Jalen computed the raitio in e to change in y
Jalen use the ordered pairs in the wrong order
Jalen made a computational error
Jalen used an ordered pair that is not on the line
Answer:
A
Step-by-step explanation:
Have a nice day everyone
The slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.
What is the point slope form of a line ?
Point slope form is used to represent a straight line using its slope and a point on the line.
It is given that Jalen is computing the slope of a line.
We know that the equation of a line in point slope form is given by :
(y - y1) = m (x - x1).
As per the computation done by Jalen ordered pairs are (-4, 0) and (2, 3).
For the line : (x , y) = (4 , 0) and (x1 , y1) = (2 , 3).
So ,
Slope will be equal to :
m = (y - y1) / (x - x1)
m = (0 - 3) / (4 - 2)
m = -3 / 2
So , the slope calculated by Jalen is not correct as he has used the ordered pairs in the wrong order.
Therefore , the slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.
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find the area of the circle. round your answer to the nearest hundredths. the diameter is 2cm
Answer:
3.14 cm squared
Step-by-step explanation:
First, identify the formula necessary to calculate the area of the circle.
Area of a circle = pi x r^2
Remember, the radius is just half of the diameter! Then to square a number, is to multiply it by itself once.
pi x 1^2 =?
pi x 1
Pi
The circumference of your circle is approximately 3.14 cm squared.
7. Give all transformations that occur to the function y = x ^ 3 that produce the function y = 1/3 * x ^ 3 + 5 Give both the transformations and the order in which they occur.
Answer:
See explanantion
Step-by-step explanation:
Solution:-
- We will start of with the given function y = x^3, and plot a small sketch.
First transformation:-
- We multiply the y = x^3, with a constant a = 1/3. Where,
y1 = a*y
Where, a : real constant
- The cases for a:
a > 1 ----> makes the function steeper
0 < a < 1 ----> Flattens the graph/less steep
a < - 1 ------ > Reflection about x-axis and makes the function steeper.
0 < a < -1 ----> Flattens the graph/less steep and reflection about x-axis
- For a = 1/3, the graph flattens or in other words with increasing value of "x" the value of "y" increases at a decreased rate.
Second Transformation:-
- We add the b = 5 to the resulting graph y = 1/3*x^3.
y2 = 1/3*x^3 + b
Where, b : Real constant
- The cases for b:
b > 0 --------> Vertical upward shift of the graph by b units
b < 0 ---------> Vertical downward shift of the graph by b units
- For b = 5 > 0, The graph 5 units up or in other words the y-intercept shifts from y = 0 to y = 5.
- The required function y = 1/3*x^3 + 5 undergoes two transformation. a = 1/3 flatten out the starting function y = x^3 and b = 5 shifts the resulting graph vertically upwards.
Final answer:
To produce the function y = (1/3)*x³ + 5 from y = x³, two transformations occur: a vertical scaling by 1/3 followed by a vertical translation up 5 units.
Explanation:
The function y = x³ has undergone two transformations to become y = (1/3) * x³ + 5. First, a vertical scaling by a factor of 1/3 has occurred, shrinking the graph vertically by a third of its original size. The second transformation is a vertical translation of 5 units upwards, which takes every point on the graph and moves it 5 units higher on the y-axis. These transformations would occur in the following order:
Vertical scaling by a factor of 1/3: y = x³ becomes y = (1/3)*x³.Vertical translation up by 5 units: y = (1/3)*x³ becomes y = (1/3)*x³ + 5.Fill in the blanks to correctly complete the sentence below.
Suppose a simple random sample of size n is drawn from a large population with mean muμ and standard deviation sigma σ. The sampling distribution of [tex]\bar x[/tex] has mean [tex]\mu_{\bar x}[/tex] =______ and standard deviation [tex]\sigma_{\bar x}[/tex] =______.
Answer:
Mean of the sampling distribution, [tex]\mu_{\bar{x}}=\mu[/tex]
Standard deviation of the sampling distribution [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
Step-by-step explanation:
Given a simple random sample of size n which is drawn from a large population
If the mean of the simple random sample of size n [tex]=\mu[/tex] The sampling distribution of [tex]\bar{x}[/tex] has the same mean [tex]\mu_{\bar{x}}=\mu[/tex]If the standard deviation of the simple random sample of size n is [tex]\sigma[/tex] The sampling distribution of will have a standard deviation of [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Answer:
if you can write a comment so that makes sense, i might be able to help you
Step-by-step explanation:
sorry
Answer:
The answer is 64pi
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, VX = 35, XW = 12, and WV = 37. What is the value of the cosine of ∠W to the nearest hundredth?
Answer:
Cosine W = 0.32
Step-by-step explanation:
Adj/Hypo = 12/37 = 0.3243 = 0.32
Final answer:
The cosine of ∠W in triangle ΔVWX is found by dividing the length of the side adjacent to ∠W (XW) by the length of the hypotenuse (WV), resulting in cos(∠W) ≈ 0.32 to the nearest hundredth.
Explanation:
In triangle ΔVWX, where ∠X=90°, VX = 35, XW = 12, and WV = 37, we are asked to find the value of the cosine of ∠W to the nearest hundredth. Since ∠X is a right angle, this triangle is a right triangle, and we can use trigonometric ratios to find the cosine of ∠W. The cosine of an angle in a right triangle is equal to the adjacent side over the hypotenuse.
To find the cosine of ∠W, we look at the sides adjacent to ∠W, which are XW and WV. The length of XW is 12, and WV, being the hypotenuse, is 37. Therefore, to find cos(∠W), we calculate 12/37. Doing this calculation, we get cos(∠W) ≈ 0.32 to the nearest hundredth.
The cosine is a trigonometric function that relates the lengths of sides in a right triangle to the angles, and it is specifically the ratio of the length of the adjacent side to the length of the hypotenuse.
A company knows that unit cost C and unit revenue R from the production and sale of x units are related by Upper C equals StartFraction Upper R squared Over 220 comma 000 EndFraction plus 3221.C= R2 220,000+3221. Find the rate of change of revenue per unit when the cost per unit is changing by $ 9$9 and the revenue is $1 comma 0001,000.
Answer:
$990 per unit.
Step-by-step explanation:
The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:
[tex]C=\dfrac{R^2}{220000} +3221[/tex]
We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is $1,000.
Rate of Change of C,
[tex]\dfrac{dC}{dt}=\dfrac{R}{110000} \dfrac{dR}{dt} \\\dfrac{dC}{dt}=\$9, R=\$1000\\9=\dfrac{1000}{110000} \dfrac{dR}{dt}\\\dfrac{dR}{dt}=9 \div \dfrac{1000}{110000}\\=9 X \dfrac{110000}{1000}\\\dfrac{dR}{dt}=\$990 $ per unit$[/tex]
The Revenue is changing at a rate of $990 per unit.
The problem is solved by first finding the derivative of the given equation to determine the rate of change. Given that the cost per unit is changing by $9, we substitute this in the derivative equation to get the revenue. Real-world applications of such problems help understand the concepts of marginal revenue and marginal cost.
Explanation:As per the equation C = R2/220000 + 3221, we first need to find the derivative to determine the rate of change. So, C'(R) = 2R/220000 where C' represents the derivative of the cost with respect to revenue.
Given that the cost per unit is changing by $9, we can represent this as C' = 9 and solve for R using the derivative equation. Hence, R = sqrt(220000 * 9 / 2) = $1000. Therefore, the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is $1,000 is found by substituting the revenue value into derivative equation.
These types of problems demonstrate how rates of change can be evaluated using calculus concepts in real-world applications such as understanding marginal revenue and marginal cost in economics and business studies.
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You are looking out your window in a skyscraper, and again your window is at a height of 450 feet above the ground. This time, however, you know that the tomato was dropped (so v_0 = 0), but you did not see it dropped so you do not know when it was dropped. You measure that it takes exactly 2 seconds from the time the tomato passes your window until it hits the ground. From what height did it fall? Give your answer as a decimal approximation with units.
Answer:
1027.2 m
Step-by-step explanation:
Hello everyone! I have some sample work I'm working on and having trouble with, please help!
And please show your work ^^
|
|
|
v
Answer:
D: 286 [tex]in^{2}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] * 5.5 * 13 = 35.75 (area of one triangle)
35.75 * 8 = 286 (area of entire octagon)
Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sinθ,y=cos2θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =
To eliminate the parameter and find the Cartesian equation of the curve x = 7sinθ,y = cos2θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.
Explanation:To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sinθ. Rearranging this equation, we get sinθ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2θ, which can be rewritten as cos(2θ) = y.
Now we can use the trigonometric identity cos(2θ) = 1 - 2sin²θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sinθ)² = y.
Simplifying this equation, we have 2(sinθ)² + y - 1 = 0. Finally, we can express sinθ in terms of x using the equation sinθ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.
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A tractor trailer averages 6 miles per gallon fuel consumption. If the truck can hold 150 gallons of fuel, how many miles could it go before needing to refuel?
Answer:
The answer to your question is 900 miles
Step-by-step explanation:
Data
Consumption = 6 mi/gallon
total fuel = 150 gallons
number of miles = ?
Process
1.- To solve this problem use proportions and cross multiplication
6 miles ------------------ 1 gallon
x ------------------ 150 gallons
x = (150 x 6) / 1
-Simplification
x = 900 / 1
-Result
x = 900 miles
steve herr is an architect in minneapolis, minnesota. his latest project is designing a park. on the blueprint, the park is determined by a plane which contains the points at (1,0,3).(2,5,0), and (3,1,4). one of the features of the park is a monument that must be perpendicular to the ground. find the nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
Answer:
a. (8,-7,-9)
Step-by-step explanation:
just took the quiz and this is the answer
Answer:
The person over there is correct. The answer is A.
Step-by-step explanation:
I take the quiz and it is correct. Edge 2021.
Which table of ordered pairs represents a proportinal relationship
Answer:
where are the tables lol
CONGRATS! Your parents bought you a car for graduation. They paid $9000 for it. The bad news is that it depreciates at 12% per year. Write a function to represent the value of the car versus time
Answer:
If the price before depretiation be P and price after depreciation be Pt..
The eqn would be,
Pt=P(1-12/100)^t
Hope it helps!!
Final answer:
The function to represent the value of a car over time, with an initial value of $9000 and depreciating at 12% per year, is V = 9000(1 - 0.12)^t. This exponential decay function calculates the car's value at any time t years after purchase.
Explanation:
The question asks for a function to represent the value of a car over time, given that the car was purchased for $9000 and depreciates at a rate of 12% per year. To model this, we can use an exponential decay function. The general form of an exponential decay function is V = P(1 - r)^t, where V represents the value of the car at time t, P is the initial purchase price, r is the rate of depreciation, and t is the time in years.
Substituting the given values into the formula, we get V = 9000(1 - 0.12)^t. This function can be used to calculate the value of the car at any given time t years after the purchase. The rate of depreciation (12%) and the initial purchase price ($9000) are the critical factors that determine the car's value over time.
Find the length of the darkened arc. Leave your answer in terms of pi.
Answer:
[tex] \frac{15 }{4} \pi \:[/tex]
Step-by-step explanation:
Radius of circle (r) = 18/2 = 9 ft
Central angle = 180° - 30° = 150°
[tex]length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:[/tex]
The length of the darkened arc can be found using the formula s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature.
Explanation:The length of the darkened arc can be found by using the formula for arc length: s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature. In this case, the angle of rotation is 2π radians (since it is a complete revolution) and the radius is given. So, substituting these values into the formula, we have s = 2πr.
What is another name for Angle 1? Line segments J L and L M combine to form an angle. Line segment L K comes out of the angle to form 2 angles. Angle J L K is 1 and angle K L M is 2. Angle J L K Angle L K J Angle K L M Angle L K M
Answer: The answer is the first one, angle JLK
Step-by-step explanation:
The another name for Angle 1 is Angle JLK, the correct option is 1.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Given;
Line segments J L and L M combine to form an angle.
Line segment L K comes out of the angle to form 2 angles.
Now,
First the angle was JLM
Line segment LK cuts the angle JLM in 2
So, after Line segment L K comes out of the angle to form 2 angles
Angle= JLK
Therefore, by new angle formed will be called JLK.
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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
(a) What is the value of the difference pˆD−pˆE? Show your work.
Answer:
[tex]p^D-p^E=0.192[/tex]
Step-by-step explanation:
We are given the following in the question:
Population D:
30% of the turtles have a shell length greater than 2 feet.
Sample size,
[tex]n_D = 40[/tex]
Number of turtles that had shell length greater than 2 feet,
[tex]x_D = 15[/tex]
Sample proportion:
[tex]p^D=\dfrac{x_D}{n_D} =\dfrac{15}{40} = 0.375[/tex]
Population E:
20% of the turtles have a shell length greater than 2 feet.
Sample size,
[tex]n_E = 60[/tex]
Number of turtles that had shell length greater than 2 feet,
[tex]x_E = 11[/tex]
Sample proportion:
[tex]p^E=\dfrac{x_E}{n_E} =\dfrac{11}{60} = 0.183[/tex]
We have to find the difference between the sample proportion.
Difference in sample proportion =
[tex]=p^D-p^E\\=0.375-0.183\\=0.192[/tex]