S received $1050, J received $0, and the ratio of the money shared between S and J is 0:1. A received 23.33% of the total amount.
Step 1: Determine the amount A received.
We know that A received 1/2 of the total amount, which is $1050. Therefore, the total amount can be calculated by multiplying A's portion by 2: 1050 * 2 = $2100.
Step 2: Calculate the amount J received.
To find the amount J received, we need to subtract A's and S's amounts from the total.
From Step 1, we know that the total is $2100. S received the same amount as A, which is $1050.
Therefore, we subtract A's and S's amounts from the total: 2100 - 1050 - 1050 = $0.
Since J received the remainder, we see that J did not receive any amount from the initial sum of $4500.
Step 3: Calculate the amount S received.
To find the amount S received, we need to subtract S's amount from the total.
Again, from Step 1, we know that the total is $2100. S received the same amount as A, which is $1050.
Therefore, we subtract S's amount from the total: 2100 - 1050 = $1050.
Step 4: Calculate the ratio in which the money was shared between S and J.
Since J did not receive any amount, the ratio of the money shared between S and J is 0:1.
Step 5: Calculate the percentage of the total amount that A received.
To find the percentage, we divide A's amount by the total and multiply by 100: (1050/4500) * 100 = 23.33%.
Therefore, S received $1050, J received $0, and the ratio of the money shared between S and J is 0:1.
A received 23.33% of the total amount.
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12. X =
43
X
18
i'm trying to find x
The value of x is 67. 3 degrees
How to determine the valueTo determine the value of the angle labelled x, we need to know that there are six different trigonometric identities.
These identities are listed as;
sinetangentcotangentcosinesecantcosecantFrom the information given, we have that;
The angle = x
The opposite side = 43
The adjacent side = 18
Using the tangent identity, we have;
tan x = 43/18
Divide the values, we have;
tan x = 2. 3888
Find the tangent inverse, we get;
x = 67. 3 degrees
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Convert the equation r=2/(1-sinθ) to rectangular form
Answer:
[tex]\displaystyle y=\frac{x^2}{4}-1[/tex]
Step-by-step explanation:
[tex]\displaystyle r=\frac{2}{1-\sin\theta}\\\\r-r\sin\theta=2\\\\\sqrt{x^2+y^2}-y=2\\\\\sqrt{x^2+y^2}=y+2\\\\x^2+y^2=y^2+4y+4\\\\x^2=4y+4\\\\\frac{x^2}{4}=y+1\\\\\frac{x^2}{4}-1=y[/tex]
Note that [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]y=r\sin\theta[/tex]
a man 6feet tall casts a shadow that is 12 feet long
Answer: 6 feet
Step-by-step explanation:
The height of the man and the length of his shadow are proportional.
This means that we can use proportions to find the height of the man if we know the length of his shadow.
We can set up a proportion as follows: height of man/length of shadow = (which includes the triangle formed by the man, his shadow, and the man/length constant.
Let's call the constant "k". We don't know the value of "k" yet, but we do know that it will be the same for all similar triangles ground).
Using the measurements given in the problem, we get 6 / 12 = simplifying the left side of the equation gives 1 / 2 = kNow we know that k = 1/2.
We can use this to find the height of the man. Let's call the height "h". We can set up another proportion using the value we just found:h / 12 = 1 / 2
Cross-multiplying gives us: 2h = 12
Simplifying further: h = 6 Therefore, the height of the man is 6 feet.
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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Which of the following relations are a function? Select all that apply.
The relations that are functions in this problem are given as follows:
a, d, e.
When does a graphed relation represents a function?A relation represents a function when each input value is mapped to a single output value.
On a graph, a function is represented if the graph contains no vertical aligned points, that is, if there are no values of x at which we could trace a vertical line that would cross the graph of the function more than once.
Hence the relations that are not functions in this problem are listed as follows:
b: input of 6 mapped to multiple outputs.c: input of -1 mapped to multiple outputs.f: vertically aligned points.More can be learned about relations and functions at brainly.com/question/10283950
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1. among the angle 36°,50°,30°,45° one angle cannot be an exterior of a regular polygon. the angle is ? .2if the complement of angle is one -fourth of its supplementary angle .then find the measure of the angle.? 3 what is the volume of rhombus whose diagonal measure 4√3 cm?
1.) The angle that cannot be an exterior angle of a regular polygon among 36°, 50°, 30°, and 45° is 30°. The sum of the other three angles is less than 360°.
2.) The angle is -60° as its complement is one-fourth of its supplementary angle based on the given condition.
3.) A rhombus has no volume as it is a 2D shape. However, its area is 24 square cm with a diagonal measure of 4√3 cm.
1.) Among the angles 36°, 50°, 30°, and 45°, the angle that cannot be an exterior angle of a regular polygon is 30°. This is because the sum of the exterior angles of any polygon is always 360°, and the sum of the other three angles (36° + 50° + 45°) equals 131°, which is less than 360°. Therefore, 30° is the angle that cannot be an exterior angle of a regular polygon.
2.) Let's assume the measure of the angle is 'x' degrees. The complement of the angle would be (90 - x) degrees, and the supplementary angle would be (180 - x) degrees. According to the given condition, the complement is one-fourth of the supplementary angle:
90 - x = (1/4)(180 - x)
Multiplying both sides by 4 to eliminate the fraction:
360 - 4x = 180 - x
Simplifying the equation:
3x = 180 - 360
3x = -180
Dividing both sides by 3:
x = -60
Therefore, the measure of the angle is -60 degrees.
3.) A rhombus does not have a volume since it is a two-dimensional shape. Volume is a measure of space, and rhombi are flat shapes with no thickness. However, we can calculate the area of a rhombus.
The formula to calculate the area of a rhombus is given by:
Area = (diagonal 1 * diagonal 2) / 2
In this case, the diagonal measure is 4√3 cm:
Area = (4√3 * 4√3) / 2
Area = (16 * 3) / 2
Area = 48 / 2
Area = 24 square cm
Therefore, the area of the rhombus is 24 square cm.
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Question 3 of 6
The word problem below has too much information. Which facts are not
needed to solve the problem? Check all that apply.
On Tuesday, the walt to ride the roller coaster was 40 minutes. The roller
coaster is the fastest ride at the fair. The line of people waiting was 100
meters long. How long would you expect to wait if the line was 50 meters
long? A. The line of people was 100 meters long.
B. The wait to ride the roller coaster was 40 minutes,
C. It was Tuesday.
D. The roller coaster is the fastest ride at the fair.
The facts that are not needed to solve the problem are:B.
The wait to ride the roller coaster was 40 minutes.C.
It was Tuesday.D.
The roller coaster is the fastest ride at the fair. Option B, C, D
To determine the facts that are not needed to solve the problem of estimating the waiting time for a roller coaster, we can examine the information provided and identify the essential elements for solving the problem.
The problem asks how long one would expect to wait if the line was 50 meters long. The key factor for estimating the waiting time is the length of the line, so the relevant information is:
A. The line of people was 100 meters long. This information is needed because it provides the basis for estimating the waiting time.
B. The wait to ride the roller coaster was 40 minutes. This information is not necessary to solve the problem because it refers to the waiting time on a specific day, which is not directly related to the length of the line.
C. It was Tuesday. This information is not necessary to solve the problem because the day of the week does not affect the relationship between line length and waiting time.
D. The roller coaster is the fastest ride at the fair. This information is not necessary to solve the problem because the speed or type of the ride does not directly influence the waiting time based on the line length.
Option B, C , D
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helppppp pleaseee!!! will give brainliest
Answer:
:) ok let's see
i'll do my best.
pls dont sue me.
the graph is going down from what I can see, so I guess it would have a negative correlation.
If we wish to label the strength of the association, for absolute values of r, 0-0.19 is regarded as very weak, 0.2-0.39 as weak, 0.40-0.59 as moderate, 0.6-0.79 as strong and 0.8-1 as very strong correlation, but these are rather arbitrary limits, and the context of the results should be considered.
But, judging from the image, I would say it would have a weak correlation, because the coordinated are not that very well together.
So ultimately, we'll go for answer D.
let me know it u think it's something else.
and don't forget to mark me brainliest!
What is the mode of this data set?
The line graph is titled Amount of Rainfall. The Y axis is labeled inches. The X axis is labeled weeks. Week 1 has a dot at 2 inches. Week 2 has a dot at 3 inches. Week 3 has a dot at 1 inch. Week 4 has a dot at 3 inches. Week 5 has a dot at 5 inches. Week 6 has a dot at 4 inches. The dots are connected one to the next by a line to show a change in the amount of rainfall. (D Is wrong)
A 2
B 3
C 4
Answer:
Step-by-step explanation:
It sounds like you are describing a line graph that shows the amount of rainfall over a period of six weeks. The Y axis is labeled in inches, and the X axis is labeled in weeks. Each week is represented by a dot on the graph, with the amount of rainfall for that week indicated by the height of the dot on the Y axis. The dots are connected by a line to show the change in rainfall over time. Based on the information you provided, it looks like the correct answer is B, with week 2 having a dot at 3 inches of rainfall.
Which of these functions could have the graph shown below ?
The function that could have the graph shown above include the following: B. [tex]f(x)=20e^x[/tex].
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.By critically observing the graph of f(x) shown in the image attached above, we can reasonably infer and logically deduce that the initial value or y-intercept is located at (0, 20).
Therefore, the required exponential function for the graph shown above include the following:
[tex]f(x)=20e^x[/tex].
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Precalc help :)
Find all values of x that are NOT in the domain of h.
If there is more than one value, separate them with commas.
Answer:
x² + 12x + 36 = 0
(x + 6)² = 0
x = -6 is not in the domain of h(x).
List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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Dave wrote a whole number greater than 0 and less than 11 on a piece of paper. Find the probability that Dave's number is each of the following.
6. P(7)
7. P(less than 5)
8. P(odd)
9. P(less than 1)
10. P(greater than 10
11. p (divisible by 2 or 3)
6. The value of P(7) = 1/10
7. P(less than 5) = 2/5
8. P(odd) = 1/2
9. P(less than 1) = 0
10. P(greater than 10) = 0
11. P(divisible by 2 or 3) = 3/5
Let's consider each probability separately:
P(7):
Since Dave's number is a whole number greater than 0 and less than 11, there are 10 possible numbers he could have chosen (1, 2, 3, 4, 5, 6, 7, 8, 9, 10).
Out of these 10 numbers, only one is 7.
Therefore, the probability that Dave's number is 7 is 1/10.
P(less than 5):
Out of the 10 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), there are four numbers that are less than 5 (1, 2, 3, 4).
Hence, the probability that Dave's number is less than 5 is 4/10, which simplifies to 2/5.
P(odd):
Out of the 10 possible numbers, there are five odd numbers (1, 3, 5, 7, 9). Therefore, the probability that Dave's number is odd is 5/10, which simplifies to 1/2.
P(less than 1):
Since the number must be greater than 0, it cannot be less than 1.
Thus, the probability of choosing a number less than 1 is 0.
P(greater than 10):
Since the number must be less than 11, it cannot be greater than 10.
Thus, the probability of choosing a number greater than 10 is 0.
P(divisible by 2 or 3):
Out of the 10 possible numbers, there are six numbers that are divisible by 2 or 3 (2, 3, 4, 6, 8, 9).
Therefore, the probability that Dave's number is divisible by 2 or 3 is 6/10, which simplifies to 3/5.
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identify the terms, coeffeciants, and constants in the expression 7x - 12
In the expression 7x - 12, the terms, coefficients, and constants can be identified as follows:
Terms:
7x: This is a term consisting of the variable x multiplied by the coefficient 7.
-12: This is a term without a variable, and it is a constant term.
Coefficients:
The coefficient of the term 7x is 7.
It represents the factor by which the variable x is multiplied.
Constants:
The constant in the expression is -12.
It is a term without a variable, representing a fixed value.
or the term 7x.
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Michael score 24 28 21 79 84 93 on 6 math test which measure of central tendency would be best used to describe his scores
The mean score is = 53.16.the average of the two middle values: 53.5. there is no repeated value, so there is no mode.
To describe Michael's scores on the math tests, we can consider different measures of central tendency, namely the mean, median, and mode. Each measure provides a different perspective on the typical or representative value of the data.
The mean is calculated by summing up all the scores and dividing by the number of scores. It is affected by extreme values and can be skewed if there are outliers. In this case, Michael's scores are 24, 28, 21, 79, 84, and 93. The mean score is (24 + 28 + 21 + 79 + 84 + 93) / 6 = 53.16.
The median is the middle value when the scores are arranged in ascending or descending order. It is less affected by extreme values or outliers compared to the mean. To find the median, we sort the scores: 21, 24, 28, 79, 84, 93. Since there is an even number of scores, we take the average of the two middle values: (28 + 79) / 2 = 53.5.
The mode represents the most frequently occurring value in the data set. In this case, there is no repeated value, so there is no mode.
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At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Work out the length of x. 17 cm X = 15 cm The diagram is not drawn accurately. cm X
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 17 cm and X cm, and another side labeled as 15 cm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 17 cm + X cm + 15 cm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
However, it's important to note that we need additional information to solve for X. In a triangle, any two sides must be greater than the third side. So, we need to know the relationship between the lengths of the sides to determine the possible values for X.
Hank made payments of $219 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $195,258. What interest rate, compounded monthly, would he need to earn on an ordinary annuity for a comparable rate of return?
To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.
To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.
First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.
Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.
Using the formula for the present value of an ordinary annuity, we have:
PV = P * (1 - (1+r)[tex]^{(-n)})[/tex]/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.
Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)[tex]{(-360)}[/tex])/r.
Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.
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Kevin looked at the dates on a random sample of 15 pennies taken from a small jar of pennies. He made the graph shown below to display the data. Kevin will take 1 penny from the jar at random. Based on the data in the graph, what is the probability that the date on the penny will be earlier than 1990?
The probability that the date on the penny will be earlier than 1990 is A. 7/15
What is probability?Probability is the likelihood of an event.
Since Kevin looked at the dates on a random sample of 15 pennies taken from a small jar of pennies. He made the graph shown below to display the data. Kevin will take 1 penny from the jar at random. Based on the data in the graph, what is the probability that the date on the penny will be earlier than 1990?
To find the probability, we proceed as follows
Let P(<1990) = probability that the date on the penny will be earlier than 1990
Now, P(<1990) = n/N where
n = number of pennies earlier than 1990 and n = total number of penniesFrom the graph
n = 1 + 0 + 4 + 2 = 7N = 15So, substituting these into the equation, we have that
P(<1990) = n/N
P(<1990) = 7/15
So, the probability is A. 7/15
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Alvarado has 6 different plants. He wants to put 3 of them on the new display stand.
How many different arrangements of plants could he create?
Alvarado can create 20 different arrangements of plants on the new display stand.
To determine the number of different arrangements of plants that Alvarado can create, we can use the concept of combinations.
When selecting 3 plants out of 6, the order of the plants doesn't matter, since all that matters is which plants are chosen. Therefore, we need to calculate the number of combinations.
The formula for calculating combinations is:
C(n, r) = n! / (r!(n - r)!)
Where:
n is the total number of items (in this case, the total number of plants)
r is the number of items chosen (in this case, the number of plants to be placed on the display stand)
! represents factorial, which is the product of all positive integers up to a given number
Using the values from the problem:
n = 6 (total number of plants)
r = 3 (number of plants to be placed on the display stand)
C(6, 3) = 6! / (3!(6 - 3)!)
C(6, 3) = 6! / (3! × 3!)
C(6, 3) = (6 × 5 × 4) / (3 × 2 × 1)
C(6, 3) = 20
Therefore, Alvarado can create 20 different arrangements of plants on the new display stand.
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The equation y = 10x represents a proportional relationship. What is the constant of proportionality
The equation y = 10x represents a proportional relationship. The constant of proportionality is 10.
A proportional relationship means for every change in x, y also changes proportionately. Let us consider an example
If y = 20
then proportionality constant say k = 10
then x will be 2.
if y = 30
then proportionality constant remains the same ie 10
x will be 3
Here it is evident that as you increase x, y also increase. As you decrease x, y also decreases in a proportionate manner.
k here links x and y variables in a proportionate relationship. Therefore k= 10 is the ratio between y and x.
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Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
What is the mode of this data set?
A 8.3 centimeters
B 9 centimeters
C 9.1 centimeters
D 10 centimeters
1) 2;5;5;2;3: ______________ 2) 5;5;5;5;6: ______________
Mean = ____________ Mean = ____________
Median = ____________ Median = ____________
Mode = ____________ Mode = ____________
Range = ____________ Range = ____________
3) 4;4;5;5;9;3: ______________ 4) 9;8;7;4;10;2: ______________
Mean = ____________ Mean = ____________
Median = ____________ Median = ____________
Mode = ____________ Mode = ____________
Range = ____________ Range = ____________
5) 2;5;3;6;2;8;3: ______________ 6) 4;8;2;3;7;10;5;6: ______________
Mean = ____________ Mean = ____________
Median = ____________ Median = ____________
Mode = ____________ Mode = ____________
Range = ____________ Range = ____________
pls help me
1) 2;5;5;2;3:
Mean = 3.4
Median = 3
Mode = 2 and 5
Range = 3
2) 5;5;5;5;6:
Mean = 5.2
Median = 5
Mode = 5
Range = 6 - 5 = 1
3) 4;4;5;5;9;3:
Mean = 5
Median = 4.5
Mode = 4 and 5
Range = 9 - 3 = 6
4) 9;8;7;4;10;2:
Mean = 6.7
Median = 7.5
Mode = No mode
Range = 8
5) 2;5;3;6;2;8;3:
Mean = 4.1
Median = 3
Mode = 2 and 3
Range = 6
6) 4;8;2;3;7;10;5;6:
Mean = 5.6
Median = 5.5
Mode = No mode
Range = 8
How to find mean, median, mode and range?Mean is the average of a data set. To calculate the mean, you add up all the values in the data set and then divide by the number of values.
Median is the middle value in a data set when the values are ordered from least to greatest.
Mode is the value that appears most often in a data set.
Range is the difference between the biggest number and smallest number in a data set.
1) 2;5;5;2;3:
Mean = (2 + 5 + 5 + 2 + 3)/5
Mean = 17/5
Mean = 3.4
Arrange in order
2, 2, 3, 5, 5
Median = 3
Mode = 2 and 5 (they both appear most i.e. two times)
Range = 5 - 2 = 3
2) 5;5;5;5;6:
Mean = (5 + 5 + 5 + 5 + 6)/5
Mean = 26/5
Mean = 5.2
5, 5, 5, 5, 6
Median = 5
Mode = 5
Range = 6 - 5 = 1
3) 4;4;5;5;9;3:
Mean = (4 + 4 + 5 + 5 + 9 + 3)/6
Mean = 30/6
Mean = 5
Arrange in order
3, 4, 4, 5, 5, 9
Median = (4+5)/2
Median = 9/2
Median = 4.5
Mode = 4 and 5 (they both appear most i.e. two times)
Range = 9 - 3 = 6
4) 9;8;7;4;10;2:
Mean = (9 + 8 + 7 + 4 + 10 + 2)/6
Mean = 40/6
Mean = 6.7
Arrange in order
2, 4, 7, 8, 9, 10
Median = (7+8)/2
Median = 15/2
Median = 7.5
Mode = No mode
Range = 10 - 2 = 8
5) 2;5;3;6;2;8;3:
Mean = (2 + 5 + 3 + 6 + 2 + 8 + 3)/7
Mean = 29/7
Mean = 4.1
Arrange in order
2, 2, 3, 3, 5, 6, 8
Median = 3
Mode = 2 and 3
Range = 8 - 2 = 6
6) 4;8;2;3;7;10;5;6:
Mean = (4 + 8 + 2 + 3 + 7 + 10 + 5 + 6)/8
Mean = 45/8
Mean = 5.6
Arrange in order
2,3, 4, 5, 6, 7, 8, 10
Median = (5 + 6)/2
Median = 11/2
Median = 5.5
Mode = No mode
Range = 10 - 2 = 8
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The graphic design industry has an annual growth rate of 9% per year. In
2012 there were 23,900 designs in the industry. How many graphic
designers are predicted to be employed in 2023.
The predicted number of employed graphic designers in 2023 can be calculated by applying the annual growth rate of 9% to the number of designers in 2012. Based on this calculation, it is estimated that there will be approximately 35,889 graphic designers employed in 2023.
1. Determine the initial number of graphic designers in 2012: The question states that there were 23,900 designs in the industry in 2012.
2. Calculate the annual growth rate: The question mentions that the graphic design industry has an annual growth rate of 9%. This growth rate represents an increase of 9% each year.
3. Calculate the growth in the number of graphic designers from 2012 to 2023: To find the growth in the number of graphic designers, multiply the initial number of designers (23,900) by the growth rate (9%) for each year. Repeat this process for each year from 2012 to 2023.
4. Add the growth in the number of designers to the initial number of designers: Sum up the growth in the number of designers for each year and add it to the initial number of designers in 2012.
5. Calculate the predicted number of employed graphic designers in 2023: The sum obtained in step 4 represents the estimated number of graphic designers employed in 2023.
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During the summer you have made the decision to attend summer school, which
precludes you from working at your usual summer job in which you normally earn
$3,000 for the summer. Your tuition cost is $1,000. The opportunity cost of
attending summer school is
$3,000
$1,000
$2,000
$4,000
Answer:
The opportunity cost of attending summer school in this scenario is $4,000. Opportunity cost is the value of the next best alternative that must be given up in order to pursue a certain action. In this case, by choosing to attend summer school, you are giving up the opportunity to earn $3,000 from your usual summer job. Additionally, you have to pay $1,000 for tuition, bringing the total opportunity cost to $3,000 + $1,000 = $4,000.
Step-by-step explanation:
The opportunity cost of attending summer school in this scenario is $4,000, which includes both the foregone earnings from the summer job and the cost of tuition.
Explanation:The potential earnings from a job that you choose not to do are considered an opportunity cost in economics. In this situation, the opportunity cost of attending summer school is both the $3,000 you lose from not working your summer job and the tuition fee of $1,000 you pay for the school. Economic theory suggests that we consider both of these costs because both are expenses that are a direct result of your decision to attend summer school. Therefore, the total opportunity cost in this scenario is $4,000 ($3,000 + $1,000).
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Please help me. I really need help. Please.
The value of x for measure of the angle m∠CED subtended by the arc CD at the circumference is equal to 0.4 to the nearest tenth.
What is angle subtended by an arcThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
arc CD = 2(m∠CED)
Also arc CD = 84°
84° = 2(12x + 37)°
12x + 37 = 84/2 {divide through by 2}
12x + 37 = 42
12x = 42 - 37 {collect like terms}
12x = 5
x = 5/12 {divide through by 12}
x = 0.4167
Therefore, the value of x for measure of the angle m∠CED subtended by the arc CD at the circumference is equal to 0.4 to the nearest tenth.
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The diagram shows a regular dodecago. Work out the size of one interior angle
Step-by-step explanation:
You didn't include a diagram, but a dodecagon is a 12 sided polygon.
The SUM of the interior angles = (n-2) * 180 where n =12
(n-2)* 180
(12-2) * 180 = 1800 <====this is the SUM of the 12 interior angles
so EACH angle is 1800 / 12 = 150 degrees
True or False?
All polygons are quadrilaterals.
Answer:
FALSE
Step-by-step explanation:
Types of Polygons
Triangle (3sides)
Quadrilateral (4sides)
Pentagon (5sides)
Hexagon (6 sides)
Heptagon (7sides)
Octagon (8 sides)
Nonagon (9sides)
Decagon (10 sides)
'All polygons are quadrilaterals' is a false statement.
A closed shape with four sides, four vertices, and four angles is known as a quadrilateral. It is formed by adjoining four non-collinear points. The sum of all the inner angles of a quadrilateral is always 360°.
A polygon is a two-dimensional object made up of straight lines and can have greater than four sides. Similarly, polygons with different numbers of sides are given distinct names, such as hexagons, heptagons, and octagons for 6, 7, and 8 sides, respectively.
All polygons with greater than or less than four angles and sides are not quadrilaterals. A triangle, for example, has three sides, whereas a quadrilateral has four sides.
Therefore, not all polygons are quadrilaterals, but all quadrilaterals are polygons.
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Write the equation of a line parallel to y = x -5 that goes through (7,0). Show all work.
The equation of the line parallel to y = x - 5 that goes through the point (7, 0) is y = x - 7.
This line has the same slope as the given line and passes through the specified point.
To find the equation of a line parallel to the given line y = x - 5, we know that parallel lines have the same slope.
The slope of the given line is 1, as it has the coefficient of x.
Therefore, the parallel line we are looking for will also have a slope of 1.
We can use the point-slope form of a linear equation to find the equation of the line.
The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line and m is the slope.
We are given the point (7, 0), so we can substitute x₁ = 7 and y₁ = 0 into the equation.
Also, since we want a parallel line with a slope of 1, we have m = 1. Substituting these values, we get:
y - 0 = 1(x - 7)
Simplifying, we have:
y = x - 7.
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