Informal Geometry, name a interior angle that of KRE with respect to KRL
Answers
In the triangle KRL, an interior angle that can be named with respect to KRE is the angle R.
When considering the triangle KRL, we can identify several interior angles within the triangle. An interior angle is an angle formed by two sides of a polygon that are adjacent to each other. In this case, we are specifically looking for an interior angle with respect to KRE, which means we are focusing on the relationship between the angle and the sides or vertices of the triangle.
In triangle KRL, the vertices are represented by the letters K, R, and L. The sides are represented by the segments KR, RL, and LK. To identify an interior angle with respect to KRE, we need to consider the relationship between angle KRE and the other angles in the triangle.
Angle KRE is formed by the segments KR and RE. The other angles in the triangle are angle KRL and angle LKR. Since angle R is formed by segments KR and RL, it is an interior angle that can be named with respect to KRE.
By considering the vertices and sides of the triangle, we can see that angle R is adjacent to angle KRE. It shares the side KR with angle KRE, making it an interior angle in relation to KRE within the triangle KRL.
In conclusion, when considering the triangle KRL, an interior angle that can be named with respect to KRE is the angle R. It is formed by the segments KR and RL, adjacent to angle KRE, and contributes to the overall geometry and relationships within the triangle.
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Related Questions
what value of makes the equation true 7+3(x - 1)=5x+-2(x+1)
Answers
An equation is a collection of variables and constants with the value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
7+3(x - 1)=5x+-2(x+1)
7 + 3x - 3 = 5x + 2x + 2
3x + 4 = 7x + 2
7x + 2 = 3x + 4
7x - 3x = 4 - 2
4x = 2
x = 1/2
Hence "The value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2".
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if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answers
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).
random samples of size 400 are taken from an infinite population whose populalation proportion is 0.2. the mean and standard deviation of the sample proportion are
Answers
The mean of the sample proportion is 0.2, and the standard deviation of the sample proportion is approximately 0.02.
The mean and standard deviation of the sample proportion for random samples of size 400 taken from an infinite population with a population proportion of 0.2, we will use the formulas for the mean and standard deviation of sample proportions.
The mean of the sample proportion is equal to the population proportion (p):
μ_p = p
The standard deviation (σ_p) of the sample proportion is given by the formula:
σ_p = sqrt[(p * (1-p)) / n]
In this case, the population proportion (p) is 0.2, and the sample size (n) is 400.
Step 1: Calculate the mean of the sample proportion:
μ_p = p = 0.2
Step 2: Calculate the standard deviation of the sample proportion:
σ_p = sqrt[(0.2 * (1-0.2)) / 400]
σ_p = sqrt[(0.2 * 0.8) / 400]
σ_p = sqrt[0.16 / 400]
σ_p = sqrt[0.0004]
Step 3: Find the square root of 0.0004:
σ_p ≈ 0.02
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El complemento de x es 3x por que ?
Answers
x = 45°
Explicación paso a paso:
El suplemento de un ángulo x es:
sx = 180 - x
Si el valor del suplemento del ángulo es 3x, sustituimos:
3x = 180 - x, despejamos la incógnita x:
3x + x = 180
4x = 180
x = 180/4 = 45
x = 45°
El ángulo es de 45°.
Puedes revisar este link donde se habla del suplemento y el complemento de un ángulo para futuros ejercicios.
1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000
Answers
Because the number before the 5 in the thousands place is equal to or greater than 5. Making it round up.
Analyze the diagram below and complete the instructions that follow name to read lines in the diagram and appear to be SKEw
Answers
Answer:
the answer i think is ba and cb
There are 30 students in a class. Today, 26 students are present. Choose an equation to show how many students are absent.
Responses
26+a=30, a=4; 4 students are absent.
26 plus A is equal to 30, , A is equal to 4, ; , 4 students are absent.,
26+30=a, a=56; 56 students are absent.
26 plus 30 is equal to A, , A is equal to 56, ; , 56 students are absent.,
a−26=30, a=56; 56 students are absent.
A minus 26 is equal to 30, A is equal to 56; 56 students are absent.
26−a=30, a=4; 4 students are absent.
Answers
The equation that shows how many students are absent is 26+a = 30 and 4students are absent
What is a linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
There are 30 students in a class and 26 students are present.
Let's represent the number of student absent by a
therefore the sum of the number of student absent and the student present will give the total number of student.
26+a = 30 and
a = 30-26
a = 4
therefore 4 students are absent
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When are reciprocals used to solve an equation?
Answers
It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.
As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.
Therefore, reciprocals are used to move factors across the equation to isolate the variable.A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the same rate.
Answers
(a) The initial concentration of the solution in the tank is 0.05 kg/L. (b) After 2.5 hours, the amount of salt in the tank remains unchanged at 50 kg. (c) As time approaches infinity, the concentration of salt in the solution remains constant at 0.05 kg/L.
(a) The initial concentration of the solution in the tank can be calculated by dividing the total amount of salt initially present by the total volume of the solution initially.
Total amount of salt initially = 50 kg
Total volume of the solution initially = 1000 L
Concentration of the solution initially = (Total amount of salt initially) / (Total volume of the solution initially)
Concentration of the solution initially = 50 kg / 1000 L = 0.05 kg/L
Therefore, the concentration of the solution in the tank initially is 0.05 kg/L.
(b) Find the amount of salt in the tank after 2.5 hours.
In this case, we need to consider the amount of salt entering and leaving the tank over time.
Amount of salt entering the tank per minute = concentration of the incoming solution × rate of incoming solution
Amount of salt entering the tank per minute = 0.025 kg/L × 10 L/min = 0.25 kg/min
Amount of salt leaving the tank per minute = concentration of the solution in the tank × rate of outgoing solution
Amount of salt leaving the tank per minute = (amount of salt in the tank) / (total volume of the solution in the tank) × 10 L/min
Since the incoming and outgoing rates are equal (10 L/min), the amount of salt in the tank after a certain time remains constant. Let's calculate the amount of salt in the tank after 2.5 hours (150 minutes).
Amount of salt entering the tank in 150 minutes = 0.25 kg/min × 150 min = 37.5 kg
The amount of salt in the tank after 2.5 hours remains the same as the initial amount, as there is no net change in the salt content.
Therefore, the amount of salt in the tank after 2.5 hours is 50 kg.
(c) Find the concentration of salt in the solution in the tank as time approaches infinity.
As time approaches infinity, the concentration of salt in the solution in the tank will be determined by the ratio of the total amount of salt in the tank to the total volume of the solution in the tank.
Total amount of salt in the tank = 50 kg
Total volume of the solution in the tank = 1000 L
Concentration of salt in the solution as time approaches infinity = (Total amount of salt in the tank) / (Total volume of the solution in the tank)
Concentration of salt in the solution as time approaches infinity = 50 kg / 1000 L = 0.05 kg/L
Therefore, as time approaches infinity, the concentration of salt in the solution in the tank will be 0.05 kg/L, the same as the initial concentration.
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Complete question:
A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? (b) Find the amount of salt in the tank after 2.5 hours. (c) Find the concentration of salt in the solution in the tank as time approaches infinity.
On monday a team of street sweapers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/10 times as mary blocks as on monday. How many city blocks did the street sweapers clean on tuesday. write your answer as a fraction or as a whole or mixes number.
Answers
Numbers of Block cleaned on monday is: 4
\(\begin{gathered} On\text{ Tuesday we have: 2}\frac{1}{10}\text{ }\times10 \\ \text{ }\frac{21}{10}\times10\text{ = 21 Blocks.} \\ \end{gathered}\)Does 21, 10, and 9 be the measures of the sides of a triangle
Answers
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
9+10 > 21
19 >21
This is not true so it cannot make a triangle
I need help. This is a geometry project, and I need a reason why this picture is relevant to corresponding angles? It would also help if I could get a definition for corresponding angles. Please help me. I need this done today!
Answers
The picture presented is relevant to corresponding angles because it exemplifies what a corresponding angle is.
What is a corresponding angle?To have a corresponding angle the first condition is to have two or more parallel lines. Parallel lines are those that are equidistant. Now, if these two or more parallel lines are crossed by another line, an angle will be created in each line and because the lines are parallel the angle will be the same for the liens involved. This exact concept is exemplified in the rubric cube because the parallel lines crossed by another line will have the same or corresponding angles.
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What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2
Answers
The most simplified expression for \((5y)^2(16y^4)^{\frac{1}{2}\) is \(100y^4\)
The given expression is:
\((5y)^2(16y^4)^{\frac{1}{2}\)
Expand the expression using the laws of indices
\(5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\\)
\(25y^2 \times 4y^2\)
Multiply like terms
\((25 \times 4)y^{2+2}\)
The resulting expression is:
\(100y^4\)
Therefore, the most simplified expression for \((5y)^2(16y^4)^{\frac{1}{2}\) is \(100y^4\)
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Out of110110students,6666areabsentabsent. What percentage of the students areabsentabsent?
Answers
16.5
110110/6666=16.5
Stefan and Kendrick both walk to work each day. It takes them the same amount of time, even though Stefan lives farther away. One morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. Who will likely get to the coffee shop in less time?
Answers
If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.
SpeedIf it takes both of them the same amount of time to walk to work per day. The person that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.
Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.
Therefore the person that will likely get to the coffee shop in less time is: Stefan.
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Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
Answers
Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
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You are a male who has a high school diploma. You plan to attend college and earn a bachelor's degree. When you graduate from college, you get a job paying $40,780. 00/yr. How much is the difference in your yearly median income from obtaining a bachelor's degree? How does your pay once you graduate compare on a monthly basis to the median income degree level you obtained?
Answers
The median income for a person with a high school diploma is $35,256 per year, whereas the median income for a person with a bachelor's degree is $59,124 per year.
That implies that obtaining a bachelor's degree boosts your yearly median income by $23,868. By dividing that number by 12 months, you can determine how much extra money you can expect to make on a monthly basis after obtaining a bachelor's degree.
$23,868 ÷ 12 months = $1,989
Thus, you can expect to earn an additional $1,989 per month after obtaining a bachelor's degree, based on the median income data.
If your starting salary upon graduation is $40,780, which is less than the median income for someone with a bachelor's degree, it may be difficult to pay back student loans and cover other living expenses.
However, the potential for future raises and higher earning potential with a bachelor's degree may be worthwhile for some people, depending on their career goals and other factors.
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Given a normal distribution with mu equals 100 and sigma equals 10 comma complete parts (a) through (d). LOADING... Click here to view page 1 of the cumulative standardized normal distribution table. LOADING... Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Upper X greater than 70? The probability that Upper X greater than 70 is .0016 nothing. (Round to four decimal places asneeded.) b. What is the probability that Upper X less than 80? The probability that Upper X less than 80 is nothing. (Round to four decimal places as needed.) c. What is the probability that Upper X less than 95 or Upper X greater than 125? The probability that Upper X less than 95 or Upper X greater than 125 is nothing.(Round to four decimal places as needed.) d. 99% of the values are between what two X-values (symmetrically distributed around the mean)? 99% of the values are greater than nothing and less than nothing.
Answers
a Probability that Upper X 0.0013 ,
b. Upper X less than 80 is 0.0228
c Upper X less than 95 or Upper X greater than 125 is 0.6853.
d 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).
Given a normal distribution with mu equals 100 and sigma equals 10, we can use the cumulative standardized normal distribution table to complete the following parts:
a. What is the probability that Upper X greater than 70?
Using the cumulative standardized normal distribution table, we find the z-score for 70 as (70-100)/10 = -3. We then look up the probability for a z-score of -3, which is 0.0013. Therefore, the probability that Upper X greater than 70 is 0.0013. (Round to four decimal places as needed.)
b. What is the probability that Upper X less than 80?
Using the cumulative standardized normal distribution table, we find the z-score for 80 as (80-100)/10 = -2. We then look up the probability for a z-score of -2, which is 0.0228. Therefore, the probability that Upper X less than 80 is 0.0228. (Round to four decimal places as needed.)
c. What is the probability that Upper X less than 95 or Upper X greater than 125?
Using the cumulative standardized normal distribution table, we find the z-score for 95 as (95-100)/10 = -0.5 and the z-score for 125 as (125-100)/10 = 2.5. We then find the probabilities for each of these z-scores, which are 0.3085 and 0.0062, respectively. To find the probability that Upper X is either less than 95 or greater than 125, we add these two probabilities and subtract from 1 (to account for the overlap): 1 - (0.3085 + 0.0062) = 0.6853. Therefore, the probability that Upper X less than 95 or Upper X greater than 125 is 0.6853. (Round to four decimal places as needed.)
d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the z-score corresponding to the 99th percentile, we look up the probability of 0.99 in the cumulative standardized normal distribution table, which is 2.33 (rounded to two decimal places). Using this z-score, we can find the corresponding X-values using the formula z = (X - mu)/sigma. Solving for X, we get: X = z*sigma + mu = (2.33)(10) + 100 = 123.3 and X = (-2.33)(10) + 100 = 76.7. Therefore, 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).
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A 24 foot flagpole casts a shadow. The distance along the ground from the base of the pole to the tip of the shadow is 9 feet. What is the distance from the top of the pole to the tip of the shadow (nearest tenth)?
Answers
Answer:
9.4 feet to the nearest tenth.
Step-by-step explanation:
This makes a right triangle so we use Pythagoras:
23^2 = 21^2 + d^2 where d is the required distance.
d^2 = 23^2 - 21^2
d^2 = 88
d = √88 = 9.3808
The length of a field in yards is a function f( n ) of the the length in n feet. Write a function rule for this situation.
Answers
Answer:
\(f(n)=\frac{1}{3}n\)
Step-by-step explanation:
To convert from feet to yards, divide by the value 3.
6- x/3x = 3x/4 + 1/2
Answers
The answer to the equation 6- x/3x = 3x/4 + 1/2 is
x= \(\frac{-5+ \sqrt{241} }{9}\) or x= \(\frac{-5 -\sqrt{241} }{9}\)
What is Quadratic Equation?Quadratic equations are a type of polynomial equation because they consist of two or more algebraic terms
6- x/3x = 3x/4 + 1/2
Find the LCM (Lowest common Multiple) of the right hand side of the equation
6 - x/3x= \(\frac{3x +2}{4}\)
cross multiply to find the value of x
4(6-x) = 3x(3x + 2)
Open the bracket
24 - 4x = \(9x^{2}\) + 6x
rearrange the equation
\(9x^{2}\)+6x +4x -24 =0
simplify the equation
\(9x^{2}\) + 10x -24 =0
then, solve the equation using quadratic formula
x= \(\frac{-b + or - \sqrt{b^{2} -4ac } }{2a}\)
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
where a= 9, b= 10, c= -24
substitute the value of the variable into the the quadradic equation
x= \(\frac{-10 + or - \sqrt{10^{2 }-4(9)(-24)} }{2.9}\)
x= \(\frac{-10 + or - 2\sqrt{241} }{18}\)
solve for the unknown x by separating the equations: one with a plus and the other with a minus,
x= \(\frac{-10 + 2\sqrt{241} }{18}\)
x= \(\frac{-10 - 2\sqrt{241} }{18}\)
Therefore the value of x in the equation is ;x= \(\frac{-5+ \sqrt{241} }{9}\) or x= \(\frac{-5 -\sqrt{241} }{9}\)
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help plz!
lines a and b are parallel m∠4=
Answers
The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.
What is an alternate angle?Alternate interior angles are the angles formed when a transversal intersects two parallel lines.
Alternate interior angles are the angles formed on the opposite sides of the transversal.
Alternate interior angles are congruent.
Therefore,
∠4 is an alternate interior angle to angle 120 degrees.
Therefore,
∠4 = 120 degrees.
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Mateo is doing an experiment for Physics class. He drops a bouncy ball off a
balcony from a height of 12 meters. The ball's next bounce is always 75% of
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?
Answers
Answer:
Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.
Step-by-step explanation: it jus is
the number 0.3333 repeats forever therefore its irrational?
Answers
Find fourconsecutive integers with the sum of 54
Answers
Answer:
They are 12, 13, 14 and 15.
Step-by-step explanation:
If the least integer is x, then:
x + x + 1 + x + 2 + x + 3 = 54
4x + 6 = 54
4x = 48
x = 12.
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)
Answers
The stem-and-leaf plot of the given data is attached. The correct options regarding percentage distribution, the distribution skewness, and gaps within the data are A, E, and F.
A stem and leaf plot refers to a technique used to to present and organize quantitative data (discrete or continuous) in a graphical format. It is displayed as table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). A stem and leaf plot can be used to visualize the shape of a distribution. The stem and leaf plot of the given data regarding the percentage loss of wetlands in the lower states is attached.
Based on the plot, it can be seen that:
Most of the percentages lie between 20% to 60%, hence the percentage distributions are concentrated from 20% to 60%. The majority of the percentage loss of wetlands are concentrated in the center with few observations slightly scattered to the right tail. Hence, the data is fairly symmetric, perhaps slightly skewed to the right. None of the states have percentage loss of wetlands which lie between 10% to 19%. Hence, there is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.Note: The question is incomplete. The complete question probably is: Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the lower 48 states, the percentage loss of wetlands per state is given. i) Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) ii). How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) A) The percentages are concentrated from 20% to 60%. B) ii. The percentages are concentrated from 60% to 90%. C) There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. D) These data are strongly skewed left. E) These data are fairly symmetric, perhaps slightly skewed right. F) There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. G) There are no gaps in the data.
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A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
Answers
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
a candy factory makes 20% of all its candies with chocolate liquor. if we look at all random samples of 500 candies and compute the proportion of each sample that is made with chocolate liquor, what would the mean of these values be? 0.20 cannot compute it because the sample mean values are not given in the problem. 500 0.02
Answers
The mean proportion of samples made with chocolate liquor would be 0.20, which is the same as the population proportion.
The problem states that 20% of all candies produced by the factory are made with chocolate liquor. This means that the population proportion of candies made with chocolate liquor is 0.20.
If we take a random sample of 500 candies, we can calculate the proportion of candies made with chocolate liquor in that sample. This proportion is called the sample proportion.
The central limit theorem states that, as long as the sample size is large enough, the distribution of sample proportions will be approximately normal, with a mean equal to the population proportion.
In this case, the sample size is 500, which is large enough for the central limit theorem to apply. Therefore, the mean of all sample proportions will be equal to the population proportion, which is 0.20. Therefore, the answer is that the mean proportion of samples made with chocolate liquor would be 0.20.
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What is the shape of 6x2 when it is graphed?
Answers
The expression 6x^2 will have the shape of a parabola when graphed
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the shape of 6x^2 when it is graphed?The function expression is given as:
6x^2
Express the function as an equation.
So, we have
y = 6x^2
The above equation is a parabola or a quadratic equation.
All quadratic equations have the same shape and the shape is parabola
This means that the expression 6x^2 will have the shape of a parabola when graphed
Hence, the expression 6x^2 will have the shape of a parabola when graphed
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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
Answers
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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