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. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 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.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.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. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 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.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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can someone help me with this problem. please
Answer:
Step-by-step explanation:
area = 30x + 30(x+3) + 30(2x)
= 30x + 30x+90 + 60x
= (120x + 90) m²
length of planting area = x + (x+3) + 2x = 4x+3 m
area = 30(4x+3) = (120x + 90) m²
x = 5
maple area = 30(5+3) = 240 m²
locust area = 30(2·5) = = 300 m²
If AB = 7 and BC = 11, calculate m angle A in degrees. Round to the nearest hundredth.
The angle A for the given triangle will be 57°.
What is a triangle's definition?
In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.
Scalene Triangle - The length of each side varies.
Isosceles Triangle - A triangle having two equal-length sides and one that is not.
Equilateral Triangle - A triangle with three sides of equal length.
Now,
let the right angle is at B
then AB=Base=7 and BC=perpendicular=11
then Tan A=B/P=11/7
Tan A=1.57
∠A=57°
hence,
The angle A for the given triangle will be 57°.
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investigue sobre 6sistemas diferentes
Answer:
this is broken english
Step-by-step explanation:
ok ok
A line passes through (-6, 10) and (4, -10). What is the slope?
minimum of geometrics suppose that you are flipping two coins at the same time. the coins are independent of each other, and have probability of heads p and q respectively. starting at time step 1, at each time step, you flip both coins, and stop if at least one shows heads. what is the expected number of time steps before you stop
The expected number of times for the probability of getting heads after flipping a two coins is equal to 1/4.
Number of coins flips at the same time = 2 coins
Coins are independent of each other
Either both the times heads , one time head or both the times tails.
Sample Space of coin 1 and coin 2 = { H, T}
Probability of each outcome = 1/2
x : 0 1
p(x) : 1 / 2 1/2
Expected value of getting heads for each coin
E(X) = ∑x p(x)
X₁ and X₂ are two possibility for each coin to get head
Both are independent of each other.
E(X₁) = 1/2
E(X₂ ) = 1/2
E(X₁ × X₂) = E(X₁) × E(X₂ )
= ( 1/2) × ( 1/2)
= 1/4
Therefore, the expected number of times to get probability of at least one heads is equal to 1/4.
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10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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Can you help me find the scale factor and center of the dilation, you don’t need to go into too much details because I basically got it down
Looking at the graph, we can say that the center of dilation is at point I since this point doesn't change.
We need to find the ratio of the distances between the new and the old.
For the new side, let's choose H'(-1, 6) and I'(3, 8)
Using distance formula :
\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(3+1)^2+(8-6)^2} \\ d=\sqrt[]{20} \end{gathered}\)And for the old or original side H(-3, 5) and I(3, 8)
\(\begin{gathered} d=\sqrt[]{(3+3)^2+(8-5)^2} \\ d=\sqrt[]{45} \end{gathered}\)Take the ratio between the new and the original distances :
\(\begin{gathered} \frac{\sqrt[]{20}}{\sqrt[]{45}}=\frac{2\sqrt[]{5}}{3\sqrt[]{5}} \\ \Rightarrow\frac{2}{3} \end{gathered}\)ANSWER :
The scale factor is 2/3 and the center of dilation is at I(3, 8)
Use the image to answer the question.
2
1
0
-1.2
What does the absolute value of the point labeled in the image mean if the number line represents temperature change?
O The temperature decreased 1.2 degrees.
O The temperature increased 1.2 degrees.
O There was no change in temperature.
Question 1(Answered)
L
The meaning of the absolute value in this problem is given as follows:
The temperature decreased 1.2 degrees.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
The number for this problem is -1.2, hence:
As the number is negative, the temperature decreased.|-1.2| = 1.2.More can be learned about the absolute value of a number at https://brainly.com/question/24368848
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Will the sign of the product of two negative numbers be negative or positive? Explain your answer. *
Answer: Depends if its multiplication/divide or add/subtract
Step-by-step explanation: In multiplication or dividing, the product is a positive when they both have negatives but when 1 has a positive number and other has a negative it is a negative result.
Answer:
multiply a negative by a negative
Step-by-step explanation:
2 negative signs are canceled
A rectangular garden measures 29 ft by 42 ft. Surrounding (and bordering) the garden is a path 4 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
The area of the path around the garden is 632 ft².
How to find the area of the path?To find the area of the path, we need to find the area of a rectangle where the garden and the path are included, and subtract the area of the garden alone.
The rectangular garden has dimensions of 29ft by 42ft, and the width of the path is 4ft, then the dimensions of the total rectangle are:
29ft + 8ft = 37ft
42ft + 8ft = 50ft
Then the area of the path is:
A = (37 ft)*(50 ft) - (29 ft)*(42 ft) = 632 ft²
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Please help!! I’ve been stuck on this for days!!! Finding the common difference and equation for the following arithmetic sequence! Thanks
The common difference is d = -4, since
-32 - (-28) = -4
-36 - (-32) = -4
-40 - (-36) = -4
and so on.
In the arithmetic sequence starting with \(a_1=-28\) and common difference -4, the next term is obtained by adding -4 to the previous one:
\(a_1 =-28\)
\(a_2 = a_1 + d = -28 - 4 = -32\)
\(a_3 = a_2 + d = a_1+2d = -28-4\times2 = -36\)
\(a_4 = a_3 + d = a_1+3d = -28-4\times3 = -40\)
and so on, up the n-th term
\(a_n = a_{n-1}+d = a_1+(n-1)d = \boxed{-28-4(n-1)}\)
1. If RQ = 12 and RT = 15, find TU.
2. If m2RQT = 74° and m/RST = 8x - 14, determine the value of x.
i have had to repost this question so many times and i’m losing points for it can someone please just answer
Answer:
TU = 7.5
x = 11
Step-by-step explanation:
given RT=15 and RT is bisected by QS, then TU = 15/2 = 7.5
Opposite angles of a parallelogram are equal, therefore RQT≅RST
8x - 14 = 74
8x = 74 + 14
8x = 88
x = 88/8 = 11
x = 11
I need help with this
I don’t get it
3.
The value of x is 20°
The value of y is 30.
4.
The value of x is 30°
The value of y is 4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
3.
An equilateral triangle.
Where all three angles and all three sides are equal and the angle is 60°.
Now,
16 + y = 46
y = 46 - 16
y = 30
And,
180 - 80° = 100°
The sum of the angles must be 180°.
x + 100 + 60 = 180
x = 180 - 160
x = 20°
4.
We have an equilateral triangle and an isosceles triangle.
All the angles in the equilateral triangle are 60°.
The two angles opposite to the equal sides of the isosceles triangle are equal.
So,
5y = 20
y = 4
And,
In the isosceles triangle.
The straight angle.
60 + angle = 180
angle = 180 - 60
angle = 120.
Now,
The sum of the angles of the isosceles triangle = 180.
2x + 120 = 180
2x = 60
x = 30°
Thus,
3.
The value of x and y is 20° and 30.
4.
The value of x and y is 30° and 4.
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Which angles are adjacent to each other? Select all that apply.
Answer:
I think it's all the options but I cant confirm.
Step-by-step explanation:
adjacent angles are angles that:
- have the same vertex
- share one side
Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds
Answer: D
Step-by-step explanation:
3. On February 1, the balance in your account is $516.81. On July 1,
you deposit $310.90. Your bank pays 6.25% interest.
a. How much interest have you earned on July 1?
b. What is the amount in your account on July 1?
c. How much interest have you earned on November 1?
d. What is the amount in your account on November 1?
Answer:
Click here to get an answer to your question ✍️ On February 1, the balance in your account is ... On July 1, you deposit $310.90. Your bank pays 6.25% interest. 1 ... Add your answer and earn points. ... The Unit Cost C (the cost in dollars to make each car) depends on the numbers of cars made.
Step-by-step explanation:
Hope this helps
a. Interest earned on July 1 is $14.6.
b. The amount in the account on July 1 is $842.31.
c. Interest earned on November 1 is $17.5.
d. The amount in account on November 1 is $859.81
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, On February 1, the balance in your account is $516.81 and the bank pays 6.25% interest.
Now, from February 1 to July 1 is 5 months or 5/12 years.
∴ SI earned is = (561.81×6.25×5/12)/100.
= $14.6
On July 1, you deposit $310.90 so the current balance is
$(516.81 + 14.6 + 310.90) = $842.31.
From july 1 to november 1 it is 4 months or 4/12 = 1/3 years.
∴ SI = (842.31×6.25×1/3)/100.
= $17.5.
The amount on November 1 is $(842.31 + 17.5) = $859.81
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what is the area of 11/5 and 15 inches
Answer:
33
Step-by-step explanation:
Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
3x+4x+5x= need help asap
Answer:
12x
Step-by-step explanation:
3 + 4 + 5 = 12
Answer:
12x
Step-by-step explanation:
we add all of them and we get 12x
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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Graph the polar equation.P = 16 cos20帶이
To make the graph we need to make a table with different pairs of angles and radius.
We can start with θ = 0, and calculate the radius for different values of θ. (π/6, π/3, π/4 and so on. Then, you can join the points.
The equation for radius will be:
\(\begin{gathered} r^2=16\cos 2\theta \\ r=\sqrt[]{16\cos2\theta} \\ r=4\cdot\sqrt[]{\cos2\theta} \end{gathered}\)\(\begin{gathered} \text{for }\theta=0 \\ r=4\cdot\sqrt[]{\cos2\cdot0} \\ r=4\cdot\sqrt[]{\cos0} \\ r=4\cdot\sqrt[]{1} \\ r=4 \end{gathered}\)Then, in the line of θ = 0, you draw a point in the fourth circle.
Then, we get the following table of values:
θ r
04.00
π/63.72
π/43.36
π/32.83
π/20.00
Note that we can't evaluate angles whose cosine is negative (angles in quadrants 2 and 3) since we would be trying to calculate the square root of a negative number, which does not exist among real numbers. Then, we will evaluate angles in the first quadrant (already done) and the 4th quadrant.
θ r
-π/63.72
-π/43.36
-π/32.83
-π/20.00
In the last table we use negative angles, they can be "translated" to positive:
-π/6= π/6
-π/4= 7π/4
-π/3= 5π/3
-π/2= 3π/2
Now, we can draw the points:
Joining the points:
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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ExitUse the clustering estimation technique to find the approximate total in the following question.What is the estimated sum of 709, 645, 798, 704 and 658?A.3,800B.3,500C.3,300D.3,000
The estimated sum of the given numbers close to the value of a single number is 3500.
What is the clustering estimation technique?The cluster estimation technique is an approach that is applied to evaluate the aggregate sum and products when the numbers that are added or multiplied cluster close in value to a single number.
It implies that, for the given set of data, we will find the average first.
i.e.
= (709+645+798+704+658)/5
= 3514/5
= 702.8
Using the clustering technique, the estimated sum of numbers close to the value of a single number is:
= 700 × 5
= 3,500
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Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything in the ground is level. When will the paintball hit the ground?
A. About 3 seconds
B. About 0.78 seconds
C. About 0.52 seconds
D. About 1 second
Answer: B
6(2n-8)=12 I need the answer
Answer:
N = 5
Step-by-step explanation:
6 (2n - 8) = 12
12n - 48 = 12
12n = 60
n = 5
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
5 = n (i think)
Step-by-step explanation:
6(2(5)- 8) = 12
6(10 - 8)= 12
6 (2) = 12
You invest $30,000 for 6 years, in an account that earns 14% interest. How much money is in your account at the end of 6 years?
A
$69,153.95
B
$95,848.50
C
$35,849.18
D
$65,849.18
A ratio of two angles is 5 to 3 and their sum is 180 degrees. Find the measure of each angle. The find their complements. Make a sketch, set up the corresponding equation and solve it.
Answer:
112.5
67.5
Step-by-step explanation:
We know the ratio is:
5:3
So, we can write it as:
5x+3x=180, with 5x being one angle, and 3x being the other
combine like terms
8x=180
divide both sides by 8
x=22.5
5(22.5)=112.5
3(22.5)=67.5
So, one angle is 112.5 and the other is 67.5.
Hope this helps!
Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%