Answer:
the area will be increased by 44%
Step-by-step explanation:
Which set of data has the same mode and median?
6, 7, 7, 8, 9
2, 2, 3, 4, 6
3, 4, 6, 7, 8
3, 3, 4, 5, 5
Answer:
A) 6, 7, 7, 8, 9
Step-by-step explanation:
Median: the middle number in a data set
Mode: the number that appears most frequently in a data set
Choices:
A) 6, 7, 7, 8, 9
B) 2, 2, 3, 4, 6
C) 3, 4, 6, 7, 8
D) 3, 3, 4, 5, 5
A) 6, 7, 7, 8, 9
Median: 7
Mode: 7
B) 2, 2, 3, 4, 6
Median: 3
Mode: 2
C) 3, 4, 6, 7, 8
Median: 6
Mode: 3, 4, 6, 7, 8 <== as they all appear once
D) 3, 3, 4, 5, 5
Median: 4
Mode: 3 and 5
Therefore, the correct answer is A, as it has a median and mode of 7.
Hope this helps!
Brian deposited 1 cent into an empty non interest bearing bank account on the first day of the month. He then additionally deposited 3 cents on the second day, 9
cents on the third day, and 27 cents on the fourth day. What would be the total amount of money in the account at the end of the 20th day if the pattern
continued
The total amount of money in the account at the end of the 20th day is 5230176601 cents
Brian deposited 1 cent on the first day with an additional 3 cents, then 9 cents on the second day, 27 cents on the third day and so on, this form a geometric series.
What is a geometric series?A geometric series is a series which has a constant ratio between consecutive terms. This ratio is called the common ratio, r.
Now, the total amount of money, since we add up till the 20 th day, is the geometric series,
s = 1 + 3 + 9 + 27 + ...
s = 1 + 3¹ + 3² + 3³ + ... + 3²⁰
Now the common ratio of the series is 3.
Sum of geometic seriesNow the total sum is the sum of the series which is
S = a(rⁿ - 1)/(r - 1) where
a = first term = 1, r = common ratio = 3 and n = number of terms = 21So, substituting the values of the variables into the equation, we have
S = a(rⁿ - 1)/(r - 1)
S = 1(3²¹ - 1)/(3 - 1)
S = (3²¹ - 1)/2
S = (10460353203 - 1)/2
S = 5230176601 cents
So, the total amount of money in the account at the end of the 20th day is 5230176601 cents
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6. Mason is looking for a new job. One company offers him a salary of $650 per 40-hour work week. What will Mason's hourly pay rate be if he accepts the job?
A$15.75 per hour
B$16.25 per hour
C$16.50 per hour
D$17.75 per hour
Answer:
b. $16.25
...............
The point C(-3, 2) is rotated 270° clockwise around the origin. What are the coordinates of
the resulting point, C'?
-10 -8
-6
4
C
-2
104
8
6
4
1
2
4
9
-6
8
10
4
6
8 10
The coordinate of the resulting point C' after 270-degree rotation clockwise is (-2, -3).
Given that:
Point, C(-3, 2)
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The coordinate of the resulting point C' after 270-degree rotation clockwise is given as,
C' = (-y, x)
C' = (-2, -3)
The coordinate of the resulting point C' after 270-degree rotation clockwise is (-2, -3).
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please help with this
Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
Can someone help me please.
Answer:
The answer is 41.
Step-by-step explanation:
If b = 25, then just plug that into the equation: 16 + 25 = 41. Hope this helps! Have a good day, good luck on your assignment. :)
the box in the shape of a rectangular prism has a length of 3 5/8 inches a width of 2 1/2 inches and a height of 4 inches what is the volume of the box
Answer:
24 in^3
Step-by-step explanation:
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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Write an expression that represents the area of just the portrait (white rectangle)
the area of the rectangle will be 1.5w².
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Area of rectangle is A = a*b
The given length of the rectangle is w
The width will be 1.5w
So the rectangle of the white figure is Area = w*1.5w = 1.5 w²
hence the area of the rectangle will be 1.5w².
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5x+3y=25, 2x+12y=37
x=3.5 and y=2.5
First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.
See details:
18
Select the correct answer.
Identify the correct form of the following geometric sequence.
5 , 35 , 245 , 1,715 , ...
A.
g(x) = 7x + 5
B.
g(x) = 7(5x)
C.
g(x) = 5(7x - 1)
D.
g(x) = 7x + 5
Step-by-step explanation:
The correct answer is none of the options given. The given sequence is a geometric sequence with a common ratio of 7. The general form of a geometric sequence is g(x) = ar^(x-1), where a is the first term and r is the common ratio. In this case, a = 5 and r = 7, so the correct form of the geometric sequence is g(x) = 5(7^(x-1)).
12% de descuento por articulo cuyo valor es $5,600.00
The price of article after 12 percent discount is $4928
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The given amount of article is $5,600.00,
And discount percent is 12%.
The amount of discount = 56,00×12/100
= 672
The price of article after discount = 5600-672 = 4928
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A quiz has 5 true-false questions and 3 multiple choice questions with 4 options each. How many possible ways are there to answer the 8 questions?
a.
48
c.
4024
b.
2024
d.
2048
Answer:
The correct answer is D
Step-by-step explanation:
the dude above me made a small typo, but they are right
The picture is my proof
have a nice day! :)
which expression can you use to find the probability that the spinner lands on 1 or 4
The probability for the given case is 1/3.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
A spinner has numbers indicated on it from one to six.
Suppose A be the event spinner lands on 1.
And, B be the event the spinner land on 4.
Now, the probability of any event is the ratio of number of favorable outcome to the total number of outcomes which is given as,
P(A) = 1/6
And, P(B) = 1/6
Thus, the probability of event A or B is given as,
P(A or B) = P(A) + P(B)
= 1/6 + 1/6
= 1/3
Hence, the probability that the spinner lands on 1 or 4 is 1/3.
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On a coordinate plane, how are the locations of the points (-1, -9) and (1, -9) related?
OA. reflection across the y-axis
ОВ.
reflection across the x-axis
OC. reflection across both axes
OD. locations unrelated
Answer:
OD
Step-by-step explanation:
they are not related
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
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Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55
Answer:
5^3
Step-by-step explanation:
5*5*5
5 multiplied 3 times is
5^3
Answer:
5 ^ 3
Step-by-step explanation:
complete the following statements. in general, % of the values in a data set lie at or below the 70th percentile. % of the values in a data set lie at or above the 20th percentile.. if a sample consists of 600 test scores, of them would be at or below the 86th percentile. if a sample consists of 600 test scores, of them would be at or above the 62th percentile.
If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.
What is percentile?A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.
Given that,
In general, 70 % of the values in a data set lie at or below the 70th percentile.
20 % of the values in a data set lie at or above the 20th percentile.
Generally percentile defines the percentage of a data set that is below or at a value that is being considered.
Hence the percentage of the values of a data set that lies below or at the 16th percentile is 16%
Also the values of a data set that lies below or at the 24th percentile is 24%
Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of 600 which is mathematically represented as:
K = \(\frac{86}{100}\) × 600
K = 516 test scores
Given a sample of 600 test scores , the number number of test scores that will be above the 62 th percentile is (100 - 62 = 38 )% of 600 which is mathematically represented as:
a = \(\frac{38}{100}\) × 600
a = 228 test scores.
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Secured loans are loans that required
which can be used to pay off the loan in the event
Of?
Secured loans exist as loans for which the borrower posts some collateral. This exists in contrast to loans that exist created only on the ground of creditworthiness and trust in the borrower, for which no collateral exists pledged (unsecured loans).
What is the difference between a secured loan and an unsecured loan?The difference between a secured loan and an unsecured loan exists a secured loan needs collateral and an unsecured loan does not.
Secured loans exist backed by an asset, like a house in the case of a mortgage loan or a car with an auto loan. An unsecured loan on the other hand lives not connected to any of your assets and the lender can't automatically seize your property as payment for the loan.
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Consider a system with one component that is subject to failure, and suppose that we have 120 copies of the component. Suppose further that the lifespan of each copy is an independent exponential random variable with mean 10 days, and that we replace the component with a new copy immediately when it fails.
a. Approximate the probability that the system is still working after 1300 days.
b. Suppose that the time to replace the component is a random variable that is uniformly distributed over ( 0 , 0.5 ). Approximate the probability that the system is still working after 1100 days.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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PQ and QR are 2 sides of a regular 10-sided polygon
Can someone please help I've been struggling on this for quite a while.
Answer:
Step-by-step explanation:
Measure of inner angle of the n-sided polygon is
\(\frac{180(n-2)}{n}\)
~~~~~~~~~~~~~~
m∠PQR = \(\frac{180(10-2)}{10}\) = 144°
PQ = QR ⇒ m∠QPR = m∠QRP
m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °
Answer:
∠PRQ = 18°
Step-by-step explanation:
Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)
Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)
Given:
n = 10⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°
⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°
Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°
Sum of interior angles of a triangle = 180°
⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°
⇒ 144° + ∠RPQ + ∠PRQ = 180°
⇒ ∠RPQ + ∠PRQ = 36°
As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.
Therefore, ∠RPQ = ∠PRQ
⇒ ∠PRQ = 36° ÷ 2 = 18°
Solve for the “x” in all the equation below. Show ALL work.
(1) - 2.x+8+ 7x = 48
(2) -15=r-6x +10
(3) - 8+ 2x - 4x + 2 = -16
Answer:
Step-by-step explanation:
(1):-2 x+7x= 48-8
<=>5 X= 40
<=>X = 8
(2),6X= 10+15+r
<=>X = (25+r):6
(3):2 x-4x= -16-2+8
<=>- 2x=-10
<=>x =5
true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.
Answer:
Ture I tink
Step-by-step explanation:
No No No No No No No
Answer:
yes yes yes yes yes yes
Step-by-step explanation:
yes yes yes yes yes yes
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yes yes yes yes yes yes
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yes yes yes yes yes yes