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?
How are the percentages distributed? Is the distribution skewed? Are there any gaps?
Percent of Wetland
0] 9
1] None
2] 0 4 7
3] 0 3 5 5 5 7 8
4] 2 2 5 5 8
5] 0 0 1 1 5 9 9
6] 0 8
7] 1
8] 7 7 9
9] 0
a. These data are fairly symmetric, perhaps slightly skewed right.
b. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
c. The percentages are concentrated from 20% to 60%.
Answers
Answer:
The solution can be defined as follows:
Step-by-step explanation:
Wetland Percentage:
\(0] 9\\\\1] None\\\\2] 0 4 7\\\\3] 0 3 5 5 5 7 8\\\\4] 2 2 5 5 8\\\\5] 0 0 1 1 5 9 9\\\\6] 0 8\\\\7] 1\\\\8] 7 7 9\\\\9] 0\\\)
These details are very symmetrical, perhaps pretty biased.There might be a gap whereby shows that none of the 48 lowest states have lost 10 to 19% of all its wetlands.These statistics were distributed between 20% and 60%.Related Questions
For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade
Answers
Answer:
1 lemon = 2 cups of lemonade
Step-by-step explanation:
In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?
Answers
Answer:
4 ways
Step-by-step explanation:
9+9=18
6+6+6=18
3+3+3+3+3+3=18
2+2+2+2+2+2+2+2+2=18
Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15
Answers
Answer:
pill
Step-by-step explanation:
Find the value for x.
A. 76°
B. 285°
C. 256°
D. 105°
Answers
An inground sprinkler nozzle sprays water onto the grass in the shape of a circle, with the nozzle at the center of the circle. On the coordinate plane, the nozzle is located at (20, 0) and the points (35, 0) and (5, 0) lie on the circle. Which equation represents the boundary that the sprinkler covers?(x – 20)^2 + y^2 = 225 (x – 20)^2 + y^2 = 1,225 x^2 + (y – 20)^2 = 225 x^2 + (y – 20)^2 = 1,225
Answers
Given
An inground sprinkler nozzle sprays water onto the grass in the shape of a circle, with the nozzle at the center of the circle.
On the coordinate plane, the nozzle is located at (20, 0) and the points (35, 0) and (5, 0) lie on the circle.
To find:
Which equation represents the boundary that the sprinkler covers?
Explanation:
It is given that,
The nozzle is located at (20,0).
Then,
The equation of the circle is given by,
\(\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-20)^2+(y-0)^2=r^2 \\ (x-20)^2+y^2=r^2 \end{gathered}\)Since,
The distance between any point on the circle and the centre is known as radius.
Then,
The radius is given by,
\(\begin{gathered} r=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\ =\sqrt{(35-20)^2+((0-0)^2} \\ =\sqrt{15^2} \\ =15 \end{gathered}\)Therefore,
The equation of the circle is,
\(\begin{gathered} (x-20)^2+y^2=15^2 \\ (x-20)^2+y^2=225 \end{gathered}\)Hence, the answer is option A),
\((x-20)^{2}+y^{2}=225\)Adding linear expressions
(-4x+6) + (x-5)
Answers
Answer:
Step-by-step explanation:
Like terms have same variables. Combine like terms.
2) (-4x + 6) + (x - 5) = -4x + 6 + x - 5
= -4x + x + 6 - 5
= -3x + 1
4) (-2x + 10) + (-8x - 1) = -2x + 10 - 8x - 1
= - 2x - 8x + 10 - 1
= - 10x + 9
6) (8x + 9) + (-6x - 1) = 8x + 9 - 6x - 1
= 8x - 6x + 9 - 1
= 2x + 8
Find the inverse of y=-3x+6
Answers
Answer:
y = (x – 6) / -3 = [2 – x/3]
Step-by-step explanation:
y = f(x) = -3x + 6
f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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A puppy weighs 4 pounds. How many ounces does the puppy weigh?
Answers
Answer: 64 ounces
Step-by-step explanation:
What is 70% of 90 as a number thank you
Answers
Answer:
70 percent of what number is 90?
90 is 70% of 128.57
Steps to solve "90 is 70 percent of what number?"
We have, 70% × x = 90
or,
70
100
× x = 90
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 90 ×
100
70
x = 128.57
If you are using a calculator, simply enter 90×100÷70, which will give you the answer.
Answer: 70 % of 90 = 63
Step-by-step explanation:
70 % x 90.
= (70/100) x 90
= (70*90)/100
= 6300/100
= 63
find the indicated probability using the venn diagram
Answers
Answer:
.91
Step-by-step explanation:
P(AUB) = 50/55 = .91 .
round 2.53 to the nearest two decimal places
Answers
Answer:
2.53
Step-by-step explanation:
the number 2.53 is already rounded to two decimal places.
What is the expressions that equal 372,000
Answers
Answer:
Look below
Step-by-step explanation:
372,000 = 372,000
372,000 = 300,000 + 70,000 + 2,000
Hopefully this helps you
pls mark brainlest
Fully simplify using only positive exponents.
\frac{3x^{3}y^{6}}{6xy^{3}}
6xy
Answers
The fully simplified equivalent of the given expression as required in the task content is; 18x²y³.
What is the fully simplified equivalent of the expression?It follows from the task content that the fully simplified equivalent of the given expression be determined.
Since the given expression is;
3x³y⁶ / 6xy³
It follows from the product of powers rule of indices that we have;
3 • 6 • x^( 3 -1 ) • y^( 6 -3 )
= 18x²y³
Therefore, the required fully simplified equivalent of the expression using only positive exponents is; 18x²y³.
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answers
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
(d) (8x2 + 7y2 – z2 + 2yz + 3xz – 5xy) * (2x – 3y) vertical method
Answers
Answer:
(8x²+7y²–z²+2yz+3xz–5xy) × ( 2x–3y)
= (16x³+14xy²–2z²x+4yzx+6x²z–10x²y –24yx²–21y³+3z²y–6y²z–9xzy+15xy²)
=( 16x³+29xy²–2z²x–5xyz+6x²z–34x²y–21y³+3z²y–6y²z)
\( = 16 {x}^{3} - 21 {y}^{3} - 2 {z}^{2}x + 3 {z}^{2} y - 5xyz - 6 {y}^{2} z + 6 {x}^{2} z - 34 {x}^{2} y+ 29x {y}^{2} \)
I hope I helped you^_^
What is a cash cycle? explain. calculate using the following information. (assume 360 days in a year). opening balances raw material 1,00,000 wip 45,000 finishes goods 1,35,000 debtors 6,00,000 creditors 8,60,000 closing balances raw material 2,00,000 wip 65,000 finishes goods 1,25,000 debtors 5,45,000 creditors 9,75,000 costs incurred during the year manufacturing costs 11,60,000 excise duty 18,80,000 selling and distribution expenses 6,20,000 admin. overheads 2,00,000 total sales 2,01,96,800 total purchases 1,46,00,000 40% of sales are on credit and 70% of purchases are on credit
Answers
The cash cycle, also known as the operating cycle or cash conversion cycle, is a financial metric that measures the time it takes for a company to convert its investments in inventory and other resources into cash flow from sales. It provides insight into the efficiency of a company's working capital management.
The cash cycle can be calculated using the following formula:
Cash Cycle = Inventory Conversion Period + Receivables Conversion Period - Payables Conversion Period
1. Inventory Conversion Period (ICP):
ICP measures the average number of days it takes for the company to convert its raw materials into finished goods. It is calculated as:
ICP = (Average Inventory / Cost of Goods Sold) x Number of Days in a Year
Average Inventory = (Opening Inventory + Closing Inventory) / 2
Cost of Goods Sold = Total Sales - Closing Inventory
2. Receivables Conversion Period (RCP):
RCP measures the average number of days it takes for the company to collect payment from its customers. It is calculated as:
RCP = (Average Receivables / Total Sales) x Number of Days in a Year
Average Receivables = (Opening Receivables + Closing Receivables) / 2
Opening Receivables = Total Sales x Percentage of Sales on Credit
Closing Receivables = Total Sales x Percentage of Sales on Credit - Collections
3. Payables Conversion Period (PCP):
PCP measures the average number of days it takes for the company to pay its suppliers. It is calculated as:
PCP = (Average Payables / Total Purchases) x Number of Days in a Year
Average Payables = (Opening Payables + Closing Payables) / 2
Opening Payables = Total Purchases x Percentage of Purchases on Credit
Closing Payables = Total Purchases x Percentage of Purchases on Credit - Payments
Now, let's calculate the cash cycle using the provided information:
Given data:
Opening balances:
Raw material: ₹1,00,000
WIP: ₹45,000
Finished goods: ₹1,35,000
Debtors: ₹6,00,000
Creditors: ₹8,60,000
Closing balances:
Raw material: ₹2,00,000
WIP: ₹65,000
Finished goods: ₹1,25,000
Debtors: ₹5,45,000
Creditors: ₹9,75,000
Costs incurred during the year:
Manufacturing costs: ₹11,60,000
Excise duty: ₹18,80,000
Selling and distribution expenses: ₹6,20,000
Admin. overheads: ₹2,00,000
Total sales: ₹2,01,96,800
Total purchases: ₹1,46,00,000
Percentage of sales on credit: 40%
Percentage of purchases on credit: 70%
1. Calculate the Inventory Conversion Period (ICP):
Average Inventory = (Opening Inventory + Closing Inventory) / 2
Opening Inventory = Raw Material + WIP + Finished Goods
Closing Inventory = Raw Material + WIP + Finished Goods
Opening Inventory = ₹1,00,000 + ₹45,000 + ₹1,35,000 = ₹2,80,000
Closing Inventory = ₹2,00,000 + ₹65,000 + ₹1,25,000 = ₹3,90,000
Average Inventory = (₹2,80,000 + ₹3,90,000) / 2 = ₹3,35,000
Cost of Goods Sold = Total Sales - Closing Inventory
Cost of Goods Sold = ₹2,01,96,800 -
Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 6 with these dice. Be sure to reduce.
Answers
Answer:
the probability of rolling a sum of 6 with these dice is 1/6.
Step-by-step explanation:
To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:
(2,4)
(3,3)
(4,2)
For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.
For the first pair (2,4), the probability is:
(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18
For the second pair (3,3), the probability is:
(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36
For the third pair (4,2), the probability is:
(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36
The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:
1/18 + 4/36 + 4/36 = 1/6
Therefore, the probability of rolling a sum of 6 with these dice is 1/6.
Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log4 (6(5 + 2x)). Make sure
to use parenthesis around your logarithm functions log(x + y).
Answers
\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .
What are logarithms ?Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.
The most common types of logarithms are the base 10 common logarithm, the base 2 binary logarithm, and the base e ≈ 2.71828 natural logarithm.
Calculationsthe product rule for logarithms is
\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\) for b > 0
now ,
\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)
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You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
Answers
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
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Question 2 (15 points )
Determine the scale factor from circle A to circle B.
O
Scale factor =
B
30
Answers
Thus, the scale factor from circle A to circle B is found to be 2.
Explain about the scale factor:The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
You must first choose which direction we are scaling in order to determine the scale factor:
Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement equals greater measurement when scaling down.The radius of circle A = 2 units
The radius of circle B = 4 units.
So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.
Thus, the scale factor from circle A to circle B is found to be 2.
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. What is the vertical asymptote(s) for y=x-5/x^2-4x-12
Answers
Answer:
x = -2 and 6
Step-by-step explanation:
To find vertical asymptote, set the denominator equal to 0 and solve for x. See the guidelines below for determining VA
\(y=\frac{x-5}{x^{2} -4x-12}\)
\(x^{2} -4x-12=0\)
\(x^{2} -6x+2x-12=0\)
\(x(x-6)+2(x-6)=0\)
\((x+2)(x-6)=0\)
\(x=-2,6\)
Hope this helps and God bless!
Ken invests $6,000 into two accounts. One account earns 8% interest and the other earns 12% interest. After one year his total interest earned from the two accounts totals $580. How much did Ken invest in the 8% account?
Answers
Answer:
2400
Step-by-step explanation:
using simple ratio
we have Account A : account B as
8:12
2:3 .....the 8% account gets
2/5 × 6000
= 2× 1200 = 2400
The population in the town of Fredericktown can be modeled by f(x) = 123,621(0.978), where x is the number of years since 1970. Which phrase best describes this function
linear growth
linear decay
exponential growth
exponential decay
Answers
Answer:
exponential decay
Step-by-step explanation:
it's decay because 0.978 is less than 1
if the value of 0.978 was greater than 1 than it would've been exponential growth
value of 0.978 represents the rate at which the population in Fredericktown is decreasing each year.
since 1970, the population of Fredericktown is decreasing by approximately 2.2% (100% - 97.8%) of its previous year's value.
Therefore, the rate of decrease in the population each year can be described as 2.2% or 0.978, which is the base of the exponential function.
chatgpt
Use the table below to find each probability. 5. P(the recipient is male) 6. p(the degree is a bachelors) 7. p(the recipient is female, given that the degree is advanced) 8. p( the degree is not an associates, given that the recipient is male)
Degree Male Female
Associate 245 433
Bachelors 598 858
Advanced 293 376
Answers
P(the recipient is male)= 40.5%
p(the degree is a bachelors) = 52%
p(the recipient is female, given that the degree is advanced) = 56.2%
p( the degree is not an associates, given that the recipient is male) = 78.4%
What are the probabilities?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
P(the recipient is male) = total number of males / total number of recipients
1136/2803 = 40.5%
p(the degree is a bachelors) = total number of bachelors degree / total number of degree
= 1456 / 2803 = 52%
p(the recipient is female, given that the degree is advanced) = total number of females with advanced degree / total number of advanced dgree
376 / 669 = 56.2%
p( the degree is not an associates, given that the recipient is male) = number of males that that have degrees other than associates / total number of males
891 / 1136 = 78.4%
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Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
4 0 x3 sin(x) dx, n = 8
Answers
Answer:
trapezoidal rule: -7.28midpoint rule: -4.82Simpson's rule: -5.61Step-by-step explanation:
The interval from 0 to 4 is divided into 8 equal parts, so each has a width of 0.5 units. For the trapezoidal and Simpson's rules, the function is evaluated at each end of each interval, and those results are combined in the manner specified by the rule.
__
For the trapezoidal rule, the function values are taken as the "bases" of trapezoids, whose "height" is the interval width. The estimate of the integral is the sum of the areas of these trapezoids.
__
For the midpoint rule, the function is evaluated at the midpoint of each interval, and that value is multiplied by the interval width to form an estimate of the integral over the interval. In the spreadsheet, midpoints and their function values are listed separately from those used for the other rules. The midpoint area is the rectangle area described here.
__
For Simpson's rule, the function values at the ends of each interval are combined with weights of 1, 2, or 4 in a particular pattern. The sum of products is multiplied by 1/3 the interval width. In the spreadsheet, the weights are listed so the SUMPRODUCT function could be used to create the desired total.
We note the Simpson's rule estimate of the integral (-5.61) is very close, as the actual value rounds to -5.64.
___
A graph of the function and a computation of the integral is shown in the second attachment.
What is the indicated missing angle can someone pls help me
Answers
Answer:
30
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
cos theta = adjacent/ hypotenuse
cos ? = 52/ 60
Take the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 52/60)
? =29.92643487
To the nearest degree
? = 30
\(answer \\ 30 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps\)
Solve for x. Round to the nearest tenth, if necessary....pleaseeeee help me with this lol.
Answers
Based on the information given, it has been calculated that they value of x will be 0.9646.
Solving trianglesBased on the information given, it should be noted that the sine formula will be used.
Therefore, the equation to solve the question will be:
Sin 16° = x/3.5
x = Sin 16° × 3.5
x = 0.2756 × 3.5
x = 0.9646
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An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 80 mph. The entire distance was 180 mi. The entire trip took 3 h. Find the distance from the airport to the corporate offices.
Answers
Step-by-step explanation:
Rate X time = distance
soooo....
80x + 40 (3-x) = 180 where x is the heli time
80x + 120 - 40x = 180
40x = 60
x = 1.5 hr in the heli at 80 m/hr = 120 miles from airport to offices
The product of two irrational numbers is an irrational number
a.True
b.False
Answers
False, The product of two irritational numbers is either rational or irrational numbers.
A rational number is a number expressed in the form of p/q where p and q are integers and q should not be zero. Example: 2/5, 24
Whereas an irrational number is a number that is not rational in nature means it neither be expressed in the form of p/q nor in ratio terms. Example: √12, √3
Product of two irrational numbers: √2* √2 = 4 (which is a rational number)
Product of again two irrational numbers: √2*√3= √6 ( which is an irrational number)
Therefore, the product of two irrational numbers can be rational or irrational numbers.
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The product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.
What is a rational number?A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
The product of two irrational numbers √3 ×√3 = 3
This is a rational number.
Again, the product of two irrational numbers: √5 ×√3 = √15
This is an irrational number.
As a result, the product of two irrational integers can be both rational and irrational.
Thus, the product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.
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