To convert 1/5 to a decimal number by long division, we divide 1 by 5 and keep adding 0s to the dividend until we have enough decimal places and 1/5 as a decimal number is 0.2.
The calculation looks like this:0.2 | 1.0000
|-------
| 0
|----
1
So, 1/5 as a decimal number is 0.2.
Part O:
If we keep repeating the division process in part N, we will get the same result of 0.2 because 1/5 has a finite decimal representation.
Part P:
From the three long-division calculations we have completed, we can conclude that the quotient, or result, from the long-division process can either end or continue indefinitely.
In part N, we found that 1/5 has a finite decimal representation, so the long division process ended.
However, for other fractions, such as 1/3, the long division process will continue indefinitely because the quotient has a repeating pattern of digits.
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What angle ???? I’ll mark BRAINLIEST
Answer: ∠1 and ∠2 are supplementary angles.
Step-by-step explanation:
Complementary angles are two angles that add up to 90 degrees.
Supplementary angles are angles that add up to 180 degrees.
∠1 + ∠2 = 180 degrees, so it is a supplementary angle.
a quality control inspector has drawn a sample of 16 light bulbs from a recent production lot. suppose 20% of the bulbs in the lot are defective. what is the probability that between 6 and 9 (both inclusive) bulbs from the sample are defective? round your answer to four decimal places.
The probability that between 6 and 9 (both inclusive) bulbs from the sample are defective is 0.5362
This is a binomial distribution problem, where the probability of success (defective bulb) is 0.2 and the probability of failure (non-defective bulb) is 0.8. We need to find the probability that between 6 and 9 (both inclusive) bulbs out of 16 bulbs in the sample are defective.
We can use the binomial probability formula to solve this problem
P(6 ≤ X ≤ 9) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
where X is the number of defective bulbs in the sample.
P(X = k) = (n choose k) × p^k × (1-p)^(n-k)
where n is the sample size, k is the number of defective bulbs, p is the probability of a defective bulb, and (n choose k) is the binomial coefficient.
Using this formula, we can calculate the probability for each value of X and sum them up to get the probability for the range 6 to 9.
P(X = 6) = (16 choose 6) × 0.2^6 × 0.8^10 = 0.0881
P(X = 7) = (16 choose 7) × 0.2^7 × 0.8^9 = 0.1409
P(X = 8) = (16 choose 8) × 0.2^8 × 0.8^8 = 0.1606
P(X = 9) = (16 choose 9) × 0.2^9 × 0.8^7 = 0.1462
Therefore, the probability that between 6 and 9 (both inclusive) bulbs from the sample are defective is
P(6 ≤ X ≤ 9) = 0.0881 + 0.1409 + 0.1606 + 0.1462 = 0.5362
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What is the rate of change of Y with respect to X for this function?
Answer:
-7/9
Step-by-step explanation:
its not a complete change to 1 but it is very close to being a 1
if the given triangles are similar find the missing length
The length of PQ in triangle PQR is 110.
What are similar triangles ?
Similar triangles are two triangles that have the same shape but may differ in size. In other words, their corresponding angles are equal, and their corresponding sides are in proportion. This means that if you were to resize one triangle by a constant factor, the resulting triangle would still be similar to the original triangle.
For example, if you take a triangle and multiply all its side lengths by a factor of 2, you will end up with a triangle that is twice as large but still similar to the original triangle.
According to the question:
Since the triangles XYZ and PQR are similar, their corresponding sides are in proportion. That is:
XY/PQ = XZ/PR = YZ/QR
We can use this property to find the length of the missing side QP.
First, let's find the ratio of corresponding sides:
XY/PQ = XZ/PR
48/PQ = 55/110
Simplifying this equation, we get:
PQ = 48*110/55 = 96
So, PQ is 96.
Alternatively, we could use the other pair of corresponding sides:
XZ/PR = YZ/QR
55/110 = 73/146
Simplifying this equation, we get:
QP = 55*146/73 = 110
So, QP is also 110.
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If a bag of 7 oranges weighs 35 ounces. How much does 1 orange weigh?
Answer:
1 orange weighs 5 ounces.
Divide
35÷7 = 5
so, one orange weighs 5 ounces.
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
To model the given data points, we can use a linear function of the form y = mx + b.
First, we need to find the slope (m) of the line:
m = (y2 - y1) / (x2 - x1)
m = (-6 - (-2)) / (1 - 0)
m = -4/1
m = -4
Now, we can use the slope and one of the points to find the y-intercept (b):
y = mx + b
-2 = (-4)(0) + b
b = -2
Therefore, the linear function that models the given data is:
y = -4x - 2
pls anwser need helpppp
M∠V=(2x+2) ∘ , and m ∠ W = ( 3 x + 4 ) ∘ m∠W=(3x+4) ∘. Find m ∠ V. M∠V
the measure of angle V is approximately 21.87 degrees. To find the measure of angle V, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we can write:
m∠V + m∠W + m∠X = 180
where angle X is the third angle in the triangle formed by V, W, and X. We know that m∠W is (3x+4) degrees, and we can see that angle X is adjacent to angle V, so we can use the fact that the sum of adjacent angles is equal to the total angle to write:
m∠V + m∠X = (2x+2) degrees
Now we can substitute this expression for m∠X into the first equation to eliminate m∠X:
m∠V + (2x+2 - m∠V) + (3x+4) = 180
Simplifying and solving for x, we get:
5x + 6 = 180
5x = 174
x = 34.8
Now we can substitute this value of x back into our expression for m∠V + m∠X to find m∠V:
m∠V + (2(34.8)+2 - m∠V) = 71.6
Simplifying and solving for m∠V, we get:
3m∠V = 65.6
m∠V = 21.87 (rounded to two decimal places)
Therefore, the measure of angle V is approximately 21.87 degrees.
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PLEASE HELPPPP GIVING BRAINLIEST IF CORRECT
Answer: B
Step-by-step explanation:
A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $8.50
4 $11.50
5 $13.00
8 $17.50
Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13
5 Divided 1/4 As a Area Model
(A area model please)
Answer: You can comment if this is wrong but I don't know what an area model is entirely I might just I don't remember
|\ |\
| \ | \
| \| \
|___\|___\
1/4 1/5
Step-by-step explanation:
1. Draw a rectangular area model with two sections.
2. Label the left section with 1/4 and the right section with 1/5.
3. Divide the left section into 4 equal parts by drawing lines horizontally and vertically
4. Divide the right section into 5 equal parts by drawing lines horizontally and vertically.
5. Count the number of parts in the left section (4 parts) and the number of parts in the right section (5 parts).
6. Multiply the parts in the left section by the parts in the right section, which gives 4 x 5 =20.
7. The answer is 20/4 = 5.
The following chips are placed in a bucket: 4 red, 1 yellow, 5 blue, and 5 green. One chip is randomly selected from the bucket.
What is the probability that the chip is blue?
Answer:Red
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 blue out of 15 chips
the area of a rectangle is 1,056 square inches. its length is 4 inches longer than 2 times its width. which equation can you use to find the width of the rectangle, w?
Answer:
The equation for the width is:
1056 = (2w+4) * w
And the solution is:
Width: 22 inches
Length: 48 inches
Step-by-step explanation:
Area of a rectangle = length * width
1056 = h * w Eq. 1
h = 2w + 4 Eq. 2
h = length
w = width
Replacing Eq. 2 in Eq. 1:
1056 = (2w+4) * w
1056 = 2w*w + 4*w
1056 = 2w² + 4w
2w² + 4w - 1056 = 0
w = {-4±√((4²)-(4*2*-1056))} / (2*2)
w = {-4±√(16 + 8448)} / 4
w = {-4±√8464} / 4
w = {-4±92} / 4
Is a geometric figure, therefore, only the positive value will be obtained
w = {-4+92}/4
w = {88} / 4
w = 22
From Eq. 2:
h = 2w+4
h = 2*22+4
h = 44+4
h = 48
Check:
From Eq. 2
1056 = h * w
1056 = 48 * 22
y = –5x + 10
y = –3x + 2
Answer:
Step-by-step explanation:
y = –5x + 10
y = –3x + 2
–5x + 10= –3x + 2
2x= 8
x=4
y= -5(4)+10
y= -20+10
y=(-10)
Answer:
Step-by-step explanation:
[tex]-5x + 10= -3x + 2[/tex] (since both equal y)
[tex]10=2x+2[/tex] ([tex]+5x[/tex] both sides)
[tex]8=2x[/tex] (-2 both sides)
[tex]x=4[/tex] (÷2 both sides)
Sub [tex]x=4[/tex] to find y:
[tex]y=-5(4)+10=-10[/tex]
Solution: x=4, y= -10
Which value of x makes the expression 3√53x
equivalent to 21√53?
The value of x that makes the expression 3√(53x) equivalent to 21√53 is 49.
What does expression mean?In mathematics, an expression is a combination of numbers, variables, and operations, typically written using mathematical symbols and/or mathematical notation. An expression can be a single number, variable, or combination of the two, or it can be a more complex combination of numbers, variables, and operators such as addition, subtraction, multiplication, division, exponentiation, or root extraction. Expressions can be used to represent a wide variety of mathematical concepts and relationships, such as equations, inequalities, functions, and geometric figures. They are an important part of mathematical language and are used to communicate mathematical ideas and concepts.
What does equation mean?In mathematics, an equation is a statement that shows the equality of two expressions. It typically involves one or more variables and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or root extraction. The expressions on both sides of the equation are separated by an equal sign (=), indicating that they have the same value. The purpose of an equation is to find the value of the variable(s) that makes the equation true. Solving an equation involves manipulating the expressions on both sides of the equation to isolate the variable and determine its value. Equations are used in a wide variety of mathematical applications, such as solving problems in algebra, geometry, calculus, and physics.
According to the given informationWe can start by equating the expression 3√(53x) to 21√53 and then solving for x.
3√(53x) = 21√53
Dividing both sides by 3√53, we get:
√x = 7
Squaring both sides of the equation, we get:
x = 49
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Write the set notation to represent the shaded portion in the given Venn-diagram
The set notation that represents the shaded portion in the given Venn-diagram is: A ∪ B − (A ∩ B).
What is the set notation of the Venn Diagram?The union of the sets A and B simply denotes everything which is in either A or B, as represented by the shaded region in the given venn diagram. The intersection of two sets is that which is in both sets, as represented by the unshaded region in the following Venn diagram
The union of A and B is the entirety of all that is in either A or B, as represented by the shaded area inside the given venn diagram.
The intersection of sets is in each sets, as represented via way of means of the magenta shaded area withinside the following Venn diagram.
Thus, it is A ∪ B − (A ∩ B).
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Please show workkk!!!
Answer:
$104.11
Step-by-step explanation:
To calculate the monthly payment for a loan, we can use the following formula:
Monthly payment = (Pr(1+r)^n) / ((1+r)^n-1)
where:
P = the principal amount (the amount borrowed)
r = the monthly interest rate (annual interest rate divided by 12)
n = the number of payments (total number of years multiplied by 12)
In this case, the principal amount is $3825, the annual interest rate is 15%, and the loan term is 4 years. So we have:
P = $3825
r = 0.15/12 = 0.0125
n = 4*12 = 48
Substituting these values into the formula, we get:
Monthly payment = (38250.0125(1+0.0125)^48) / ((1+0.0125)^48-1)
Monthly payment ≈ $104.11
Therefore, the monthly payment for a $3825 loan at 15% annual interest for 4 years is approximately $104.11.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=16x^2+173x+140
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 1542.82 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+173x+140
dy/dx = -16(2x)+173
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 173
173 = 32x
x =5.406
Substitute the value of x in the equation to get the maximum height,
y=-16x²+173x+140
y=-16(5.406²) +173(5.406) +140
y= 467.59 + 935.23 + 140
= 1542.82 feet.
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 1542.82 feet.
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a political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. if the candidate wants a 1% margin of error at a 95% confidence level, what size of sample is needed? be sure to round accordingly. the candidate would need to survey people in the community in order to be within a 1% margin of error at a 95% confidence level.
In order to be within a 1% margin of error at a 95% confidence level, the candidate would need to survey 9604 people in the community. The size of the sample is 9604.
We have a political candidate who wants a 1% margin of error at a 95% confidence level. To find the size of the sample, we use the formula given below;
n = [ Z (α/2) / E ]²
Where,
n = the sample size required
Z (α/2) = the value obtained from the standard normal distribution for the given level of confidence
E = the margin of error
Here, α = 1 - 0.95 = 0.05
Z (α/2) = Z (0.025), is the z-value corresponding to 0.025 in the normal distribution table. It is found to be 1.96.
Now, substituting the given values in the formula,
n = (1.96² * 0.5 * 0.5) / 0.01² ⇒ 9604
Hence, the sample size required for the poll is 9604.
However, this is not feasible, as it would be very expensive and time-consuming. Therefore, we will round the answer to the nearest whole number as we are looking for a practical solution. Thus, the candidate would need to survey 9604 people in the community (rounded to the nearest whole number).
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I need helppppppppp please help me
Answer:
12.9cm
Step-by-step explanation:
Trapeziums QRVW and QRSP are similar because they share the same side 5.5 cm and their angles are corresponding to each other.
We can express the ratios of sides in both trapeziums to find WV.
Since side 5.5 is the same in each trapezium,
[tex]\frac{5.5}{WV}=\frac{5.5}{12.9}[/tex]
Thus, WV = 12.9cm
Hope this helps:)
Which angle is an alternate exterior angle to ∠8? ∠3 ∠4 ∠5 ∠6
There is no alternate exterior angle corresponding to ∠8. ∠3 ∠4 ∠5 ∠6 are not an alternate exterior angle to ∠8
We know that alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal,
here, we have,
We have been given a geometrical figure as shown in the image.
Now we know that a pair of alternate exterior angles exist for a pair of parallel lines.
Hence, there is no alternate exterior angle corresponding to ∠8.
Therefore, there is no alternate exterior angle corresponding to ∠8.
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B. Find one possible point in the part of
the coordinate plane shown that could
be the fourth Vertex D of the
parallelogram. Give its coordinates.
Answer:(0,-1).
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other, the midpoint of AC is the same as the midpoint of BD. Therefore, the fourth vertex D is (0,-1).
what is the probability of selecting a striped marble, not replacing it, then selectinga balck marble?
The probability of selecting a striped marble, not replacing it, then selecting a black marble is 4/15.
The probability of selecting a striped marble on the first draw is 6/10, since there are 6 striped marbles out of a total of 10 marbles in the bag.
After the first marble is drawn, it is not replaced, so there are now 9 marbles left in the bag. Out of these, there are 4 solid marbles and 5 striped marbles. Therefore, the probability of selecting a black marble on the second draw is 4/9.
To find the probability of both of these events occurring together, we multiply the probabilities
P(striped, then black) = P(striped) × P(black | striped not replaced)
P(striped, then black) = (6/10) × (4/9)
P(striped, then black) = 24/90
P(striped, then black) = 4/15
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The given question is incomplete, the complete question is:
There are 10 marbles in a bag (4 solid, 6 striped) .what is the probability of selecting a striped marble, not replacing it, then selecting a black marble?
you decide to go to a rent-to-own company and purchase a laptop. the cost is $20.95 per month for 5 years. how much did you pay total at the end of the 5 years for the laptop?
You paid the total amount of $1257 at the end of 5 years.
Let us assume that c represents the cost per month.
So, c = $20.95
and let t represents the total number of months.
We know that there are 12 months in a year.
so, the number of months in 5 years would be:
12 × 5 = 60
So, t = 60 months
Using unitary method the total amount paid at the end of five years :
s = c × t
s = 20.95 × 60
s = $1257
Therefore, the total amount is $1257
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Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg
length of 8√8 centimeters
Answer:
Therefore, the length of the hypotenuse of the 45°-45°-90° triangle is 32 centimeters.
Step-by-step explanation:
In a 45°-45°-90° triangle, the two legs are congruent, which means that each leg is equal to the length of the hypotenuse divided by √2.
Let h be the length of the hypotenuse. Then we have:
leg = h/√2
Given that one of the legs is 8√8 centimeters, we can substitute this value into the equation above to solve for h:
8√8 = h/√2
Multiplying both sides by √2, we get:
8√8 x √2 = h
Simplifying, we get:
h = 8√16
h = 8 x 4
h = 32
Therefore, the length of the hypotenuse of the 45°-45°-90° triangle is 32 centimeters.
20 Points:
How many ways are there to form a 5 person committee from 2 freshmen, 3 sophomores, 2 juniors, and 2 seniors if there cannot be the same number of juniors and seniors? Note that people are distinct.
=================================================
Explanation:
2 freshmen + 3 sophomores + 2 juniors + 2 seniors = 9 students total.
Let's consider the cases where we have the same number of juniors and seniors. We'll then take the complement of this to get the final answer.
Case A will look at having 1 of each junior and senior.Case B will look at having 2 each of juniors and seniors.-----------
Case A: There is 1 junior and 1 senior
There are 2 ways to pick a junior and 2 ways to pick a senior. That's 2*2 = 4 ways so far.
Then we have 9-4 = 5 students left to pick from (i.e. 2 freshmen+3 sophomores = 5 students left) and we have 5-2 = 3 seats to fill. Order doesn't matter on the committee since each person has equal rank.
We use the nCr combination formula.
n = 5 students
r = 3 seats to fill
n C r = (n!)/(r!(n-r)!)
5 C 3 = (5!)/(3!*(5-3)!)
5 C 3 = (5!)/(3!*2!)
5 C 3 = (5*4*3!)/(3!*2!)
5 C 3 = (5*4)/(2!)
5 C 3 = (5*4)/(2*1)
5 C 3 = (20)/(2)
5 C 3 = 10
There are 10 ways to fill the remaining 3 seats when we pick from the freshmen and sophomores only.
To recap everything so far:
4 ways to pick the 1 junior and 1 senior10 ways to pick the 3 other students (freshmen + sophomores)Therefore, we have 4*10 = 40 different combinations possible for case A. We'll refer to this value later.
-----------
Case B: We pick 2 juniors and 2 seniors
Since there 2 juniors to pick from, and 2 junior seats to fill, there's only 1 way to do this. Likewise, there's only 1 way to pick the 2 seniors to fill the 2 seats.
In total so far there is 1*1 = 1 way to pick the 2 juniors and 2 seniors in any order you like.
Then we have 9-4 = 5 students left that are freshmen or sophomores. This is the number of choices we have for the final 5th seat.
We have 1*5 = 5 ways to have case B happen.
----------
Summary so far:
40 ways to do case A5 ways to do case B40+5 = 45 ways to do either case.There are 45 ways to have the same number of juniors as seniors (either 1 of each or 2 of each).
Now we must calculate the number of total combinations possible on this committee. We'll turn to the nCr formula again.
n = 9 students
r = 5 seats
n C r = (n!)/(r!(n-r)!)
9 C 5 = (9!)/(5!*(9-5)!)
9 C 5 = (9!)/(5!*4!)
9 C 5 = (9*8*7*6*5!)/(5!*4!)
9 C 5 = (9*8*7*6)/(4!)
9 C 5 = (9*8*7*6)/(4*3*2*1)
9 C 5 = (3024)/(24)
9 C 5 = 126
There are 126 different five-person committees possible.
Of those 126 committees, 45 of them consist of cases where we have the same number of juniors and seniors.
That must mean there are 126-45 = 81 combinations where we do not have the same number of juniors and seniors. This is where the concept of "complement" comes in.
How do you find orthogonal projection on a line?
the orthogonal projection of a point P onto a line L can be expressed as: projection L(P) = ((P . u) ×u)·
Define orthogonal projectionOrthogonal projection is a mathematical operation that involves projecting a vector or point onto another vector or line in a way that the projection is perpendicular (or orthogonal) to the vector or line.
To find the orthogonal projection of a point on a line, you can follow these steps:Identify the point and the line: Let the point be P and the line be L.Find a vector that is parallel to the line: Let the vector be v.Find the unit vector that is parallel to the line: Normalize the vector v by dividing it by its magnitude to obtain the unit vector u.Find the vector from the origin to the point P: Let the vector be w.Calculate the dot product of w and u: This gives the magnitude of the projection of w onto u.Multiply u by the dot product obtained in step 5: This gives the projection vector.Add the projection vector to the origin: This gives the orthogonal projection of the point P onto the line L.In mathematical notation, the orthogonal projection of a point P onto a line L can be expressed as:
projection L(P) = ((P . u) × u)
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3. Which translation moves point X so that
its image is on the y-axis?
A (x,y) → (x + 4, y + 8)
B (x,y) → (x-4, y + 8)
C (x, y) → (x+8, y + 4)
D(x, y) → (x+8, y - 4)
In addition, the image's y-coordinate would be , this indicates that we must raise the point by to align it with the y-axis. Hence, D is the right response.
What kind of coordinate is that?Option A moves the point 4 units horizontally and 8 units vertically, but does not move it onto the y-axis.
Option B moves the point -4 units horizontally and 8 units vertically, but does not move it onto the y-axis.
Option C moves the point horizontally by 8 units and vertically by 4 units, but it does not move it to the y-axis.
Option D moves the point 8 units horizontally and -4 units vertically. When we apply this transformation to an x-axis point, its y-coordinate remains unchanged, so the point's image is on the y-axis. As a result, option D is the correct translation:
(x, y) → (x+8, y-4)
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what pattern of growth are we currently exhibiting? exponential growth intrinsic growth logistic growth none of the other answer options is correct. geometric growth
Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time.
Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time. This means that the growth rate is proportional to the current size or value of the quantity, resulting in a continuously increasing growth rate.
Geometric growth is commonly observed in natural and social systems, such as population growth, compound interest, and the spread of infectious diseases. It is represented mathematically by an exponential function, where the base of the exponent is greater than one, indicating an increasing rate of growth over time.
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I have solved the question in general, as the given question is incomplete.
The complete question is:
What is geometric growth ?
Question 5(Multiple Choice Worth 2 points)
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is symmetric
IQR, because Beach Town is skewed
Range, because Sunny Town is skewed
Range, because Beach Town is symmetric
The answer of the given question based on the histogram is option (a) IQR, because Sunny Town is symmetric and option (b) IQR, because Beach Town is skewed.
What is Frequency?Frequency refers to the number of times a particular event or value occurs within a given dataset or sample. In statistics, frequency is often used to describe the distribution of a variable, where a frequency distribution shows the number of observations that fall into each category or interval.
The IQR (interquartile range) should be used for both sets of data to determine the location with the most consistent temperature. The IQR is a measure of spread that is not influenced by extreme values or outliers, which is helpful in comparing the consistency of temperatures in different locations. It is appropriate to use the IQR for Sunny Town because the data is roughly symmetric, and for Beach Town because although it is skewed, the IQR is more robust than the range and is not influenced by outliers.
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