All other things being equal, outliers tend to have a greater effect on the value of the mean, as compared to the value of the median. The given statement is true.
What is the mean and median?
Outliers are values that are significantly different from the other values in a data set, and their presence can greatly affect the value of measures of central tendency, such as the mean and the median.
The mean is a measure of central tendency that is calculated as the sum of all the values in a data set divided by the number of values. The presence of outliers can greatly affect the mean because outliers can have a large impact on the sum of the values in the data set. For example, if a data set has a few very large outliers, the mean will be pulled up to be much higher than the median, which represents the midpoint of the data set.
On the other hand, the median is a measure of central tendency that is calculated as the middle value of a data set when the values are arranged in order. The median is not as sensitive to outliers as the mean because outliers do not affect the median unless the number of outliers is so large that it changes the value of the middle value.
Hence, all other things being equal, outliers tend to have a greater effect on the value of the mean than on the value of the median.
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Find the volume of a cylinder with a radius of 4cm and a height of 7 cm. Use 3.14 for pi, round your answer to the nearest hundredth, and do not include units.
Answer:
351.68
Step-by-step explanation:
Given:
The radius of the cylinder = r = 4 cm
Height of the cylinder = h = 7 cm
The volume of the cylinder is given by the formula:
V = πr²h
Using π = 3.14
so, the volume of the cylinder will be:
[tex]3.14 X4^{2} X7 = 3.14 X 16 X 7 = 351.68[/tex]
Volume of the cylinder = 351.68
Calculate the distance between the points N=(-2,-1) and L=(3-4) in the coordinate plane. Give an exact answer (not a decimal approximation)
The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.
What is plane?
In two dimensions, a plane can continue on forever. The lack of breadth. A plane is an example of coordinate geometry. A point's location in a plane is determined by its coordinates.
A plane is a two-dimensional, flat surface that never ends in mathematics. A plane is a two-dimensional equivalent of a three-dimensional equivalent that contains three spatial dimensions, a line, and a point. Planes can resemble subspaces in some higher-dimensional situations, as if the room's walls had been substantially stretched. These walls have their own existence, exactly as in the context of Euclidean geometry.
A flat surface in three dimensions can be represented using the plane equation. There are several approaches for determining the equation for a given function.. The equation for the plane can be expressed in either cartesian form or vector form.
Hence, the general form of the equation is A(x−x1)+B(y−y1)+C(z−z1)=0
Now,
For given two points in (x1,y1),(x2,y2) in coordinate plane
distance between them will be = √((x2-x1)²+(y2-y1)²)
So, distance between N=(-2,-1) and L=(3,-4)=√((3+2)²+(-4+1)²)
=√(25+9)
=√34
hence,
The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.
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Concrete is made by mixing gravel, sand, and cement in the ratio 4: 3: 2 by volume. How much (Gravel, sand, cement) will be needed to make 27m^3 of concrete
Answer:
Below
Step-by-step explanation:
Gravel is 4 / (4+3+2) = 4/9 ths of the total
4/9 x 27 m^3 = 12 m^3 gravel
Similarly sand is 3/9th 3/9 * 27 = 9 m^3
and the rest is cement 6 m^3
You roll a die 42 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
By applying probability concept, it can be concluded that the experimental probability of rolling each is P(1) = 1/6, P(2) = 1/7, P(3) = 1/3, P(4) = 2/21, P(5) = 1/7, and P(6) = 5/42.
Probability is a value used to measure the degree of occurrence of a random event.
P(E) = n(E)/n(S)
n(E) = number of desired events
n(S) = total number of events
We have the following information about a die rolling 42 times:
One Two Three Four Five Six
7 6 14 4 6 5
The theoretical probability of rolling any number on a six-sided die is 7/42 or 1/6.
Now we can calculate the probability of each side by substituting the value in the table into the equation:
P(E) = n(E)/n(S)
P(1) = 7/42
= 1/6
P(2) = 6/42
= 1/7
P(3) = 14/42
= 1/3
P(4) = 4/42
= 2/21
P(5) = 6/42
= 1/7
P(6) = 5/42
Thus, the experimental probability of rolling each is P(1) = 1/6, P(2) = 1/7, P(3) = 1/3, P(4) = 2/21, P(5) = 1/7, and P(6) = 5/42.
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McCullough Hospital uses a job-order costing system to assign costs to its patients. Its direct materials include a variety of items such as pharmaceutical drugs, heart valves, artificial hips, and pacemakers. Its direct labor costs (e.g., surgeons, anesthesiologists, radiologists, and nurses) associated with specific surgical procedures and tests are traced to individual patients. All other costs, such as depreciation of medical equipment, insurance, utilities, incidental medical supplies, and the labor costs associated with around-the-clock monitoring of patients are treated as overhead costs.
The estimated overhead costs for ICU and other are $970 per patient day, or $19,400,000 divided by 20,000 patient days.
what is variations ?There is a connection between one set of values about one variable and an other number of values. direct variation With the equations y = mx + b, you have the direct variant function y = mx (often written y = kx). Equations that describe the relation between independent variables in a language also explain how those variables vary between one another. There are various types of variations, including linear, inverse, joint, among combination variations. If y and x are said to be directly connected, then y must equal kx, where k is a number that is every now and again referred to as the perpetual of variation. If y and x have such an inverse connection, then y equals k/x, where k is just the variance constant.
given
1a. Every patient day, the predetermined overhead rate is $970.
compute the combined expected overhead expenses for the ICU and other:
ICU: $3,200,000 plus $236 each patient-day multiplied by 2,000 patient-days equals $3,672,000.
$14,000,000 plus ($96 for each patient day)
(15,728,000 patient-days) divided by 18
Add the anticipated overhead expenses for ICU and Other:
$3,672,000 + $15,728,000 = $19,400,000
19,400,000 divided by 20,000 patient days equals 970 each patient day.
1b. The overall expense allocated to Patients A and B.
The estimated overhead costs for ICU and other are $970 per patient day, or $19,400,000 divided by 20,000 patient days.
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Two-lined salamanders have weights that are normally distributed and on average 13.6 grams with a standard deviation of 2.2 grams. A random sample of 8 two-lined salamanders is selected and weighed.
The probability that the sample mean is between 13.6-x and 13.6+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of x ?
The value of x such that the probability of the sample mean being between 13.6-0.89 and 13.6+0.89 is 0.6827 is approximately x = 0.89.
What is Central Limit Theorem ?
Central Limit Theorem states that as the sample size increases the distribution of the sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Therefore, for a sample of 8 two-lined salamanders, the standard deviation of the sample means is:
σ = σ/√n = 2.2/√8 = 0.89
We are looking for the value of x such that the probability of the sample mean being between 13.6-x and 13.6+x is 0.6827. This corresponds to the area under the normal curve within x standard deviations of the mean.
We can use a standard normal table or calculator to find the value of x corresponding to 0.6827. The result is approximately x = 0.89.
So, the value of x such that the probability of the sample mean being between 13.6-0.89 and 13.6+0.89 is 0.6827 is approximately x = 0.89.
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6. Tony needs a new car while attending college in California for the next three years. The car he would like has an MSRP of $15,000.
Here are two options offered:
1st option (lease); A local dealer can get him a three-year loan with a 7% interest rate if Tony can make a $1,500 down payment.
2nd option (purchase); The same dealer offers the same car for lease with a money factor of 0.00271 and a residual value of 75%.
The lease requires an additional fee of $1,250 to cover Tony's security deposit and the acquisition and documentation fees for the
car.
Tony wants to drive the car home with the smallest monthly payment. Which of the following statements is true?
a. The monthly payment for the loan is lower.
b. The monthly payment for the lease is lower.
PRUP
C. The monthly payments for the lease and loan are the same.
You cannot compare the monthly payments for leases and loans.
d.
For each inequality, show it on the number line and write all one-digit integers that satisfy it. k≥0
For the inequality k≥0, all the integers which satisfies the given inequality are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The inequality,
k ≥ 0
The inequality k ≥ 0 means that k is greater than or equal to 0. This can be represented on a number line as follows:
-------------k-------------
where the line represents all real numbers and the arrow points to the right to indicate that k can be any real number greater than or equal to 0.
All one-digit integers that satisfy the inequality k ≥ 0 are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
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PLease help 50 points
Answer:
Step-by-step explanation:
multiple by the domanatior to get the answer
Suppose a country has the following balance of payments data. Export of goods 275 Import of goods 325 Service exports 50 Service imports 40 Income receipts from abroad 40 Income payments to foreigners 70 Increase in home country assets abroad 350 Increase in foreign assets in home country 420 (a) Calculate the current account balance. (b) Calculate the financial account balance. (c) Calculate the trade balance. (d) Calculate net factor payments.
A. The current account balance is a deficit of 130
B. The financial account balance is a deficit of 70
C. The trade balance is a deficit of 50.
D. The net factor payments are a deficit of 30.
What is balance of payments?Balance of payments is the method by which countries measure all of the international monetary transactions within a certain period.
(a) The current account balance can be calculated as follows:
Current Account Balance = (Exports of goods + Service exports) - (Imports of goods + Service imports + Income payments to foreigners - Income receipts from abroad)
= (275 + 50) - (325 + 40 + 70 - 40)
= 325 - 455
= -130
So, the current account balance is a deficit of 130.
(b) The financial account balance can be calculated as follows:
Financial Account Balance = Increase in home country assets abroad - Increase in foreign assets in home country
= 350 - 420
= -70
So, the financial account balance is a deficit of 70.
(c) The trade balance can be calculated as follows:
Trade Balance = Exports of goods - Imports of goods
= 275 - 325
= -50
So, the trade balance is a deficit of 50.
(d) The net factor payments can be calculated as follows:
Net Factor Payments = Income receipts from abroad - Income payments to foreigners
= 40 - 70
= -30
So, the net factor payments are a deficit of 30.
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if the demand for apples is highly elastic and the supply is highly inelastic, then a tax imposed on the apples will be paid
The complete statement is -
If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.
What is highly elastic demand?Elastic demand is when the price of a product has a large impact on the quantity purchased.
Given is that the demand for apples is highly elastic and the supply is highly inelastic.
If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.
Therefore, the complete statement is -
If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.
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When calculating the area of a trapezoid, how do you determine which sides are the bases?
A. They're on the top and bottom of the figure
B. They're at the sides of the figure
C. They do not run parallel to each other
D. They run parallel to each other
Answer:
D.
Step-by-step explanation:
The two parallel sides of the trapezoid are referred to as the bases of the trapezoid; the other two sides are called the legs of the trapezoid.
Therefore, the answer is D.
Hope it helped!
NEEED HELP’’’’’!!!….
63, 69, 75 and 81 is the first four terms of the seqence
Finding the recursive formula for a sequenceGiven the recursive formula of the given sequence
an = 63 + (n - 1)*6
We need to determine the first four terms of the sequence
When n = 1;
a1 = 63 + (1 - 1)*6
a1 = 63
When n = 2;
a2 = 63 + (2 - 1)*6
a2 = 69
When n = 3;
a3 = 63 + (3 - 1)*6
a3 = 75
When n = 4;
a4 = 63 + (4 - 1)*6
a4 = 81
Hence the first four terms of the sequence are 63, 69, 75 and 81.
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Put the following list in order from highest to lowest. Highest 0.19 << < < << Petruta Cioran 13 8% 0.2 27% 4 25
The list in highest tο lowest οrder is as follows :
0.2
27%
25
What is percentage ?Percentage is a way οf expressing a number as a fractiοn of 100. It is often used to cοmpare or describe relative values, such as prοportions, growth rates, or percentages of a whole.
Percentage is calculated by dividing a part of sοmething by the whole and then multiplying by 100. Fοr example, if a class has 25 students and 5 οf them are absent, we can find the percentage οf absent students by dividing the number οf absent students (5) by the tοtal number of students (25) and then multiplying by 100
Accοrding to given information:
The list in οrder from highest to lowest is:
0.2
27%
25
Petruta Ciοran 13
8%
0.19 << < < <<
4
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WILL MARK BRAINLIEST!!!!!
Liam said that the following graph shows a positive correlation between ice cream sales and temperature.
Is he correct? Why or why not?
Liam’s friend Armonte said he believes this represents causation instead of a correlation. Is Liam or Armonte correct? Give at least two reasons to help support your claim.
Yes, Liam is correct as the graph depicts a positive correlation as the temperature increases the ice cream sales also increases.
What do you mean by correlation and causation?A correlation between two variables shows a statistical connection between them. Causation is the process whereby a change in one variable causes a change in another.
While conducting research, you may have come across the proverb "correlation doesn't imply causality." Although correlation and causality are related ideas, understanding how they differ helps improve your capacity to assess and critically analyze scientific data.
Armonte said the graph depicts causation and yes Armonte is correct as causation means that changes in one variable bring about changes in the other; there is a cause-and-effect relationship between variables. The two variables are correlated with each other and there is also a causal link between them.
So here the change in the temperature brought about the change in the ice cream sales. As the temperature rose the ice cream sales too started increasing.
Now two reasons as to why this represents causation instead of correlation:
The third variable problem states that a confounding variable has an effect on two variables, providing the false appearance that they are causally related. The directionality problem occurs when two variables correlate and maybe have a causal relationship, but it is impossible to pinpoint which variable has an impact on the other.Therefore, the graph shows a positive correlation, but it represents causation.
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20. While packing for a trip to Spain a traveler wishes to weigh their luggage to make
sure it doesn't exceed 23 kilograms. Unfortunately, their bathroom scale for some
reason can only weigh in ounces. How many ounces should the luggage weigh?
The traveler's luggage should weigh around 806.722 ounces.
How to convert kilogram to ounces?To convert kilograms to ounces, you can use the conversion factor of 35.274 ounces per kilogram.
Here's the formula to convert kilograms to ounces:
Ounces = Kilograms * 35.274
When it comes to measuring weight, the metric system and the imperial system use different units of measurement. The metric system uses kilograms as its unit of measurement for weight, while the imperial system uses ounces.
To convert between the two systems, it is necessary to know the conversion factor between kilograms and ounces. One kilogram is approximately equal to 35.274 ounces. This means that to convert from kilograms to ounces, you can multiply the number of kilograms by 35.274.
In the case of the traveler in Spain, they wanted to ensure that their luggage did not exceed 23 kilograms in weight. To determine this weight in ounces, they multiplied 23 kilograms by the conversion factor of 35.274 ounces/kilogram, which gives a result of 806.722 ounces.
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Find a
polynomial f (x) of degree 4 that has the following zeros.
0, 6 (multiplicity 2), -2
Leave your answer in factored form.
A polynomial f (x) of degree 4 that has the following zeros, 0, 6 (multiplicity 2), -2 is: x (x+2) (x-6)²
What is polynomial?A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminate's and coefficients. Nearly all areas of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.
given that,
a polynomial f(x) of degree 4 and has the zeros are 0, 6 (multiplicity 2), -2
We know that If a polynomial P(x) is, of degree 4 and has Zeros are a, b, c (multiplicity 2) then polynomial P(x) will be:
P(x) = (x - a)' (x - b)' (x - c)²
P(x) = (x - a)' (x - b)' (x - c)²
So, here polynomial of degree 4 will be:
F(x) = (x- (-2)) [x-6]² (x-0)
F(x) = x (x+2) (x-6)²
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6. (a) If a 24 pack of Red Bull costs $40.00, how much is one Red Bull? (
Answer:
about 1.67
Step-by-step explanation:
24x=40
A water sport shop sells tubes, kayaks, canoes, skis, and rafts. The circle graph below shows the sales from january.
There were 400 items sales in january. Based on the circle graph, how many of those sales were tubes or rafts?
A. 160
B. 200
C. 240
D. 300
Answer: B. 200
Step-by-step explanation:
Since "rafts" and "tubes" takes up exactly 50% of the circle graph, the answer is 50% of 400, or 200. The correct answer is option B. 200
Calculate sales tax using the following information:
Taxable amount of the sale: $150
Sales tax percentage: 6.5%
What is the amount of the sales tax?
Round the answer to the nearest cent (hundredths).
The amount of the sales tax is $9.75.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The taxable amount of the sale: $150
Sales tax percentage: 6.5%
To calculate the sales tax, you can multiply the taxable amount of the sale by the sales tax percentage.
Sales Tax = Taxable Amount × Sales Tax Percentage
Sales Tax = $150 × 6.5%
Sales Tax = $150 × 0.065
Apply the multiplication operation, and we get
Sales Tax = $9.75
So, the amount of the sales tax is $9.75.
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A tank contains 22 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let t represent the number of hours since the water began draining and let v represent the volume of water in the tank. a. Write a formula that expresses v in terms of t
b. As t increases from 3 to 5, v varies from___ to ____
c. As t varies from 3 to 5, how much do t and v change by?
a). The formula that expresses v in terms of t is v = 22 - 2t, b). As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.
What is the volume?
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3, etc. Sometimes, volume is also termed capacity.
a). The volume of water in the tank, v, decreases by 2 gallons per hour, so the formula for v in terms of t is v = 22 - 2t.
b). As t increases from 3 to 5, v varies from 16 to 12. That is, as t goes from 3 to 5, v decreases from 22 - 2(3) = 16 to 22 - 2(5) = 12.
c). As t varies from 3 to 5, t changes by 5 - 3 = 2, and v changes by 16 - 12 = 4.
Hence, a). The formula that expresses v in terms of t is v = 22 - 2t, b). As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.
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(b) Home Hardware is selling locks at $120.00 for four. Rona is selling 6 locks for
$192.00. Which store has the lower cost for one lock? (3 marks)
(i) Aside from the price of the locks in question b, what other factors should you
consider when buying a lock? (2 marks)
Answer: (b) To find the cost per lock, we need to divide the total cost by the number of locks.
For Home Hardware, the cost per lock is 120 / 4 = $30.00.
For Rona, the cost per lock is 192 / 6 = $32.00.
So, Home Hardware has the lower cost per lock at $30.00, compared to Rona's cost of $32.00.
(i) Some other factors to consider when buying a lock include:
Security: The level of security offered by the lock is important to consider, especially for locks that will be used for homes, businesses, or other valuable assets.
Durability: It's important to choose a lock that is durable and resistant to weather and wear-and-tear.
Ease of use: Consider the ease of use of the lock, including how easy it is to install and how user-friendly the lock mechanism is.
Brand reputation: Consider the reputation of the brand, as well as customer reviews and ratings of the product.
Warranty: Look for a lock that comes with a warranty, and consider the length and terms of the warranty.
Step-by-step explanation:
A function is represented by the equation y=x(x + 3). Complete the table for the function.
Does the equation represent a linear function? Explain your reasoning.
The outputs for the given inputs are:
Input: -2 -1 0 1
Output: 2 2 0 4
What is a linear function?
A linear function is a mathematical function that has a constant rate of change, or slope, between its input and output variables. In other words, the output of a linear function changes at a constant rate as the input changes.
The given function y = x(x + 3) is not a linear function because it contains a squared term (x^2) and thus has a non-constant rate of change.
To complete the table for the given function, we substitute each input value into the equation and simplify:
Input: -2
Output: (-2)(-2 + 3) = 2
Input: -1
Output: (-1)(-1 + 3) = 2
Input: 0
Output: (0)(0 + 3) = 0
Input: 1
Output: (1)(1 + 3) = 4
Therefore, the outputs for the given inputs are:
Input: -2 -1 0 1
Output: 2 2 0 4
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Ten letter tiles are placed in a bag. Once a tile has been drawn, it is not placed back in the bag. What is the probability that someone will randomly select the letter tiles in order to spell STATISTICS?
The probability that the word formed STATISTICS will be; 1/10! = 1/3628800
What is meant by probability?The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.
The total number of tiles in a bag is; 10
WE are given that once a tile is drawn, we will not place the tile back in the bag.
We should find the probability that randomly selected tiles spell the word, STATISTICS, that is a 10 letter word.
Now when we draw the first tile,
1 st tile = 1/10
Now there are only 9 tiles left.
2nd tile probability = 1/9
Now only 8 tiles left then
3rd tile probability = 1/8
Therefore the probability that the word formed is STATISTICS would be
= 1/10 * 1/9 * 1/8 * 1/7 * 1/6 * 1/5 * 1/4 * 1/3 * 1/2
= 1/10! = 1/3628800
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a meal in a restaurant cost $40 in 2000. What was it's price in 1992 dollars? Contemporary math
The cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.
What is average inflation rate?The average rate at which the prices of goods and services change within a year is called the average inflation rate.
Given that, a meal in a restaurant cost $40 in 2000, we need to find its price in 1992 dollars,
The dollar had an average inflation rate of 2.45% per year between 1992 and today,
The year change = 2000 - 1992 = 8
Therefore, the $40 in 1992 =
= 40 - (40 × 8 × 2.45 / 100)
= 40 - (7.84)
= 32.16
Hence, the cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.
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A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radius of \maroonD{12\,\text{cm}}12cmstart color #ca337c, 12, start text, c, m, end text, end color #ca337c.
A circle with a radius of twelve centimeters. A sector is highlighted. The central angle is equals one hundred seventy-five degrees.
A circle with a radius of twelve centimeters. A sector is highlighted. The central angle is equals one hundred seventy-five degrees.
What is the area of the sector?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{35}{3}\pi\,\text{cm}^2
3
35
πcm
2
start fraction, 35, divided by, 3, end fraction, pi, start text, c, m, end text, squared
(Choice B)
B
24\pi\,\text{cm}^224πcm
2
24, pi, start text, c, m, end text, squared
(Choice C)
C
70\pi\,\text{cm}^270πcm
2
70, pi, start text, c, m, end text, squared
(Choice D)
D
144\pi\,\text{cm}^2144πcm
2
The area of the sector is evaluated to be equal to 220 square centimeters.
How to evaluate for the area of the sector.The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius and π = 22/7.
We have the angle of the sector = 175° and radius = 12 cm, hence the area of the sector is calculated as follows:
(175°/360°) × 22/7 × 12 × 12
we simplify by division and multiplication
(35/72) × 22/7 × 12cm × 12cm
{35/7 = 5 and 72/12 = 6}
(5/6) × 22 × 12cm²
{12/6 = 2}
5 × 22 × 2cm²
220 cm².
Therefore, the area of the sector is evaluated to be equal to 220 square centimeters.
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87+3 ? pls help me i dont know any answer /clue
Answer:the answer is 90
Step-by-step explanation:
Answer:9
Step-by-step explanation:
Which equation would create a line parallel to y= 5x +10
Answer:
y=1/5x +4
Step-by-step explanation:
Write an equation for the line that is parallel to the given line and passes through the given point. y = 5x + 10; (2, 14) y=1/5x +4
A comet following a hyperbolic path about the Sun has a perihelion of 120 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 281.25 Gm from the Sun. Calculate a, b, c, and e. What are the coordinates of the center of the Sun if the center of the hyperbolic orbit is (0, 0) and the Sun lies on the positive x-axis?
a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm
b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm
c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm
What is the hyperbola?
Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.
To calculate the parameters a, b, c, and e for a hyperbolic orbit, we need to know the perihelion distance (p), semi-latus rectum (l), and eccentricity (e) of the orbit.
Perihelion distance (p): The perihelion distance is given as 120 Gm.Semi-latus rectum (l): The semi-latus rectum can be calculated from the perihelion distance and the distance from the Sun when the line from the comet to the Sun is perpendicular to the focal axis of the orbit:l = p / (1 + e)
where e is the eccentricity of the orbit. We can solve for e using the given distances:
e = (p - l) / l = (120 Gm - 281.25 Gm) / 281.25 Gm = -0.57
Eccentricity (e): The eccentricity of the orbit is equal to e.Parameters a, b, and c: The parameters a, b, and c can be calculated from the semi-latus rectum and the eccentricity:a = l / (1 - e²)
b = √(a^2 * e²)
c = √(a^2 - b²)
a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm
b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm
c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm
Coordinates of the center of the Sun: The center of the hyperbolic orbit is (0, 0), and the Sun lies on the positive x-axis. Thus, the coordinates of the center of the Sun are (558.0 Gm, 0).To learn more about hyperbola, Visit
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is "What is the area of the floor in this classroom?" a statistical question? Explain your reasoning.
"What is the area of the floor in this classroom?" is not a statistical question.
What is statistical reasoning?Statistical Reasoning is the first course in statistics for students whose college and career paths require knowledge of the fundamentals of the collection, analysis, and interpretation of data.
All statistical questions contain gathering numerical statistics (normally from a set of human beings) after which studying it to attract conclusions approximately the reviews of human beings of a positive phenomenon because the statistics vary relying on the reaction of every person.
This method isn't required to decide the location of the ground due to the fact this has a completely unique solution and might certainly be located via way of means of measuring the peak and width of the school room after which multiplying each number.
therefore, this doesn't mean accumulating loads of statistics and the statistics does now no longer vary.
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