P value of 0.039 rejects the assumption of independence of Part Quality and Supplier. Further supplier evaluation is recommended.
To answer this question, we need to perform a chi-square test of independence to determine if Part Quality depends on Supplier. The given data is:
Supplier Good Minor Defect Major Defect
A 100 5 8
B 160 4 7
C 150 27 11
Step 1: Calculate the expected values for each cell.
Step 2: Apply the chi-square test formula: χ² = Σ[(O - E)² / E], where O is the observed value and E is the expected value.
Step 3: Calculate the p-value using the chi-square distribution with the appropriate degrees of freedom. In this case, df = (number of rows - 1) * (number of columns - 1) = (3 - 1) * (3 - 1) = 4.
Step 4: Compare the p-value to the given significance level (α = 0.05). If the p-value is less than α, reject the null hypothesis and conclude that Part Quality depends on Supplier.
Based on the given data, the correct answer is b. P value of 0.039 rejects the assumption of independence of Part Quality and Supplier. Further supplier evaluation is recommended.
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I NEED HELP what is 1/4 x 20 =
21
The solution of the fractions 1 / 4 × 20 / 21 is 5 / 21.
How to solve fractions?A fraction is number with numerator and denominator. Therefore, let's multiply the fractions.
1 / 4 × 20 / 21 = 20 / 84
Hence, let's reduce the fraction by dividing the numerator and denominator by 4.
20 / 84 ÷ 4 / 4
20 / 84 ÷ 4 / 4 = 5 / 21
Therefore, the fraction is 5 / 21.
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suppose there is a lottery where the organizers pick a set of 11 distinct numbers. a player then picks 7 distinct numbers and wins when all 7 are in the set chosen by the organizers. numbers chosen by both the players and organizers come from the set {1, 2, ..., 80}. (a) let the sample space, s, be all the sets of 7 numbers the player can choose. what is |s|? (b) let e be the event that all the numbers the player chooses are in the winning set. what is |e|? (c) what is the probability of winning? as a reminder, you may leave your answer un- simplified.
(a) 40,475,358.
(b) 330
(c) 0.0008%.
(a) To find |S|, the total number of sets of 7 distinct numbers a player can choose, we need to find the combinations of choosing 7 numbers from the 80 available options. This can be calculated using the combination formula:
C(n, k) = n! / (k! * (n - k)!)
In this case, n = 80 (total numbers) and k = 7 (numbers to choose). So, |S| = C(80, 7):
|S| = 80! / (7! * (80 - 7)!)
|S| = 80! / (7! * 73!)
(b) To find |E|, the number of sets where all 7 numbers chosen by the player are in the winning set of 11 numbers chosen by the organizers, we need to find the combinations of choosing 7 numbers from the 11 available options in the winning set:
|E| = C(11, 7)
|E| = 11! / (7! * (11 - 7)!)
|E| = 11! / (7! * 4!)
(c) To find the probability of winning, we need to calculate the ratio of the favorable outcomes (|E|) to the total possible outcomes (|S|):
P(winning) = |E| / |S|
P(winning) = (11! / (7! * 4!)) / (80! / (7! * 73!))
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ASAP help need help with questions
The component form and magnitude of the vector are;
v = 3·i - 2·j
||v|| = √(14)
What is the component form of a vector?The component form of a vector is expressed as <x, y>, which indicates the distance of the vector to the right or left, x-component, and the distance up or down of the y-component.
The coordinate points on the vector are; (0, 0), and (3, -2)
The component form of the vector consists of the horizontal and vertical components, which can be found as follows;
Horizontal component = (3 - 0)·i = 3·i
The vertical component = (-2 - 0)·j = -2·j
The component form of the vector is therefore;
v = ⟨3, -2⟩
The magnitude of the vector can be obtained as follows;
||v|| = √((3 - 0)² + (-2 - 0)²) = √(14)
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Timothy had 30 dollars to spend on 3 gifts. He spent 10 9/10 dollars on gift A and 3 3/5 on gift B. How much money did he have left for gift C?
The amount of money left for gift c is 15 5/10 dollars
How to calculate the amount of money that is left for gift C?Timothy had 30 dollars to spend on three gifts
He spent 10 9/10 dollars on gift A
He spent 3 3/5 dollars on gift B
The amount spent on gift C can be calculated as follows
10 9/10 + 3 3/5
= 109/10 + 18/5
= 545 + 180/50
= 725/50
= 145/10
30 - 145/10
= 30/1 - 145/10
= 300-145/10
= 155/10
= 15 5/10
Hence the amount of Money left for gift C is 15 5/10 dollars
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5. Evaluate f(-2), f(o), and f(2) for the following absolute value function f(x) =|x-3x|
The given absolute value function is f(x) = |x - 3x|.
To evaluate absolute value function f(-2), we substitute -2 in place of x:
f(-2) = |-2 - 3(-2)|
= |-2 + 6|
= |4|
= 4
Therefore, f(-2) = 4.
To evaluate f(0), we substitute 0 in place of x:
f(0) = |0 - 3(0)|
= |0|
= 0
Therefore, f(0) = 0.
To evaluate f(2), we substitute 2 in place of x:
f(2) = |2 - 3(2)|
= |-4|
= 4
Therefore, f(2) = 4.
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what is 48 - 36 and then divided by 36
Answer
The result of 48 - 36 is 12. Then, if you divide 12 by 36, the result is 0.3333 or 1/3.
Step-by-step explanation:
Look at the calendar. If thirteen months have passed since the circled date, what day would it be?
A. July 5th
B. July 6th
C. August 5th
D. August 6th
Answer: C
Step-by-step explanation: When did the calendar change from 13 months?
The 1752 Calendar Change
Today, Americans are used to a calendar with a "year" based the earth's rotation around the sun, with "months" having no relationship to the cycles of the moon and New Years Day falling on January 1. However, that system was not adopted in England and its colonies until 1752.
Consider the following statistical argument:
"Emily is a member of a study group for her philosophy class composed of 16 students including herself. There are about 30 students total in her class. After talking with the study group on Monday night, she found that each study group member received a high grade on the most recent quiz. So, Emily concluded that everyone in the class must have received a high grade on the quiz."
What fallacy, if any, is being committed? Select all that apply.
A. Biased Sample Fallacy
B. Hasty Generalization Fallacy
C. Biased Questions
D. No Fallacy
In the statistical argument provided, Emily concludes that everyone in the class must have received a high grade on the quiz based on the information from her study group. The fallacy being committed in this argument is a combination of A. Biased Sample Fallacy and B. Hasty Generalization Fallacy.
A. Biased Sample Fallacy occurs when the sample is used to make a conclusion that is not representative of the entire population. In this case, Emily's study group consists of 16 students out of a total of 30 students in her class. The study group may not be representative of the whole class, as it is a smaller sample and could be composed of more diligent or prepared students.
B. Hasty Generalization Fallacy is when a conclusion is made based on insufficient evidence. In this argument, Emily concludes that everyone in the class must have received a high grade based on the performance of her study group alone. This is a hasty generalization as she has not considered the performance of the other students in the class.
To sum up, the argument commits both A. Biased Sample Fallacy and B. Hasty Generalization Fallacy, as it bases its conclusion on a potentially unrepresentative sample and insufficient evidence.
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Si un rectángulo tiene 23 millas de largo y 14 millas de ancho ¿cuál es el area en millas cuadradas?
The area of the given rectangle is 322 square miles.
How to find the area of the rectangle?We know that the area of a rectangle is equal to the product between the dimensions. In this case we know that the dimensions of the rectangle are:
Length = 23 miles.
Width = 14 miles.
Then the area of this rectangle will be a product between these two values, we will get:
Area = (23 mi)*(14 mi)
Area = 322 mi ²
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Write the rule of inference that validates the argument. 4. 1. PA-ST) .:P (MV-N) --P 2. PQ (MV-N) 3.
This is the contrapositive of the original statement PQ -> P, which allows us to conclude that the argument is valid.
The argument can be validated using the modus tollens rule of inference, also known as the law of contrapositive. This rule states that if we have a conditional statement of the form "If A, then B," and we know that B is false, we can infer that A must also be false.
In the given argument, we have two conditional statements:
(PA -> ST) -> ~(MV -> N) (premise)
PQ -> ~(MV -> N) (premise)
To use modus tollens, we start by assuming the negation of the conclusion we want to prove, which is P. Then, we use the second premise to infer that ~(MV -> N) must be true. Using the logical equivalence ~(p -> q) = p /\ ~q, we can rewrite this as MV /\ ~N.
Next, we can use the first premise to infer that if PA -> ST is true, then MV -> N must be false. Since we have already established that MV /\ ~N is true, we can conclude that PA -> ST must be false as well.
Finally, we use the second premise again to infer that PQ must be false. This is because if PQ were true, then ~(MV -> N) would also be true, which contradicts our previous conclusion.
Therefore, we have shown that if PQ is true, then P must be false. This is the contrapositive of the original statement PQ -> P, which allows us to conclude that the argument is valid.
Complete question: Write the rule of inference that validates the argument.
4.
1. [tex]\frac{P_A-(S \leftrightarrow T)}{\therefore P}$ $(M \vee-N) \rightarrow-P$[/tex]
2. [tex]$\frac{\neg P Q}{\therefore(M \vee-N) \rightarrow Q}$[/tex]
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a city has taxable property assessed at $540000000. To meet expenses, $28000000 must be raised by property tax. What is the decimal tax rate to four places?
The decimal tax rate to four decimal places is 0.0519.
To find the decimal tax rate, we want to divide the amount of money to be raised by the means of property tax by the assessed cost of taxable assets, and then convert it to a decimal place as it is requested and needed .
Decimal tax charge = (amount of money raised by assets tax / Assessed value of taxable assets)
Decimal tax price = ($28,000,000 / $540,000,000)
Decimal tax fee = zero.0519 (rounded to four decimal places)
Consequently, the decimal tax rate to four decimal places is 0.0519.
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Two dice are rolled. Find the probability of the following event. The first die is 6 or the sum is 8. The probability of the event "the first die is 6 or the sum is 8" is (Type an integer or a simplified fraction.)
To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.
To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.
Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.
Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).
However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.
Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.
So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.
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Which graph represents the inequality \(y\ge-x^2+1\)?
The graph of the given inequality y ≥ x² + 1 is a shaded region above the downward-facing parabola -x² + 1.
Hence, graph A represents the given inequality.
The inequality y ≥ x² + 1 represents a region in the coordinate plane where y is greater than or equal to the value of the function -x² + 1 for any given x. The graph of this inequality is a shaded region above the downward-facing parabola -x² + 1. The vertex of this parabola is located at the point (0,1), and as x moves away from 0, the value of the function becomes more negative.
Therefore, the shaded region includes all points (x, y) where y is greater than or equal to the y-value of the parabola at that x-value. The resulting graph is a curve that opens downward and flattens out at y=1 as x moves further away from 0.
Hence, the correct option is A.
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Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Complete the table shown to the right for the population growth model for a certain
country.
(Round to four decimal places as needed.)
The population growth rate is given as follows:
k = 0.0213.
How to obtain the population growth rate?The exponential function modeling the population after t years is given as follows:
P(t) = P(0)e^(kt).
In which:
P(0) is the population in the reference year.k is the growth rate, as a decimal.Considering the population in 2007, the initial population is given as follows:
P(0) = 46.8.
21 years later, we have that:
P(21) = 73.2.
Hence the rate is obtained as follows:
46.8e^(21k) = 73.2
e^(21k) = 73.2/46.8
21k = ln(73.2/46.8)
k = ln(73.2/46.8)/21
k = 0.0213.
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Suppose you are in a small town and want to find your friend Julia who lives in the town. Liars make up three-quarters of the population in the town. If you ask an honest person for directions of your friend Julia, the answer is correct with probability 2/3. If you ask a liar for directions of your friend Julia, the answer is correct with probability 1/2. Answers to repeated questions are independent even if the question is the same. You cannot tell whether the person you ask is a liar or is honest, and all you know is that your friend Julia resides in the East or West of the town.
a) You ask one of the persons in the town whether your friend Julia resides in the East or West
the town. The answer is East. What is the probability this is correct?
of
b) You ask the same person again, and receive the same reply. What is the probability that it is correct?
3) You ask the same person one more time, and receive the same reply. What is the probability that it is correct?
4) You ask the same person a fourth time, and receive the same answer. What is the probability
that it is correct?
The probability that the answer is correct given that the
a) Let's use Bayes' theorem to calculate the probability that the answer is correct given that the person you asked said "East". Let H be the event that the person is honest, L be the event that the person is a liar, E be the event that Julia resides in the East and W be the event that Julia resides in the West. Then we have:
P(E|H) = 2/3 (the probability that an honest person gives the correct answer)
P(E|L) = 1/2 (the probability that a liar gives the correct answer)
P(H) = 1/4 (the probability that the person is honest)
P(L) = 3/4 (the probability that the person is a liar)
By the law of total probability, we have:
P(E) = P(E|H)P(H) + P(E|L)P(L) = (2/3)(1/4) + (1/2)(3/4) = 5/12
Then, using Bayes' theorem, we have:
P(H|E) = P(E|H)P(H)/P(E) = (2/3)(1/4)/(5/12) = 2/5
So the probability that the answer is correct given that the person said "East" is 2/5.
b) The probability that the same person gives the same answer twice in a row is:
P(E∩E) = P(E)P(E|H)P(H) + P(E)P(E|L)P(L) = (5/12)(2/3)(1/4) + (5/12)(1/2)(3/4) = 5/24
Using Bayes' theorem again, we have:
P(H|EE) = P(EE|H)P(H)/P(EE) = (2/3)^2(1/4)/(5/24) = 8/15
So the probability that the answer is correct given that the person said "East" twice in a row is 8/15.
c) The probability that the same person gives the same answer three times in a row is:
P(E∩E∩E) = P(E)P(E|H)^2P(H) + P(E)P(E|L)^2P(L) = (5/12)(2/3)^2(1/4) + (5/12)(1/2)^2(3/4) = 5/32
Using Bayes' theorem again, we have:
P(H|EEE) = P(EEE|H)P(H)/P(EEE) = (2/3)^3(1/4)/(5/32) = 4/5
So the probability that the answer is correct given that the person said "East" three times in a row is 4/5.
d) The probability that the same person gives the same answer four times in a row is:
P(E∩E∩E∩E) = P(E)P(E|H)^3P(H) + P(E)P(E|L)^3P(L) = (5/12)(2/3)^3(1/4) + (5/12)(1/2)^3(3/4) = 5/48
Using Bayes' theorem again, we have:
P(H|EEEE) = P(EEEE|H)P(H)/P(EEEE) = (2/3)^4(1/4)/(5/48) = 16/25
So the probability that the answer is correct given that the
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What is 4 1/2 plus 69 in
Answer:
73 1/2
Step-by-step explanation:
Answer:
Inches (fraction) : 73 1/2
Inches: 73.5
Feet: 6.13
Meters: 1.87
Centimeters: 186.69
Millimeters: 1,866.9
Step-by-step explanation:
Jeremy has a cylindrical case for his toothbrush that has a diameter of 30 millimeters and a height of 15 centimeters. Which of the following would be an appropriate unit of measure to describe the surface area of the case?
a. millimeters
b. square centimeters
c. cubic millimeters
d. cubic centimeters
A set of equations is given below:
Equation C: y = 6x + 9
Equation D: y = 6x + 2
Which of the following options is true about the solution to the given set of equations?
a
One solution
b
No solution
c
Two solutions
d
Infinite solutions
The solution to the given set of equations is, No solution.
We have to given that;
A set of equations is given below:
Equation C: y = 6x + 9
Equation D: y = 6x + 2
Now, We can see that;
y = 6x + 9
y = 6x + 2
Equate both equations, we get;
6x + 2 = 6x + 9
2 ≠ 9
Hence, We get;
The solution to the given set of equations is, No solution.
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shat is % of 80 = 4 ?
Answer:
5% is the answer I think
Step-by-step explanation:
I hope this helps
Answer:
5
Step-by-step explanation:
Y= 4/80
4/80 * 100/100 = 5/100
Y= 5
List the sample space for rolling a fair six-sided die.
S = {1}
S = {6}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
The sample space for rolling a fair six-sided die is {1, 2, 3, 4, 5, 6}.
option C.
What is the sample space for rolling a six sided die?A sample space describes the possible outcome of an event.
The sample space for rolling a fair six-sided die consists of the six possible outcomes and we can list them as follows;
S = {1, 2, 3, 4, 5, 6}
Each outcome represents the number that appears on the top face of the die after it is rolled. So this sample space contains all the likely outcome each time we roll the die.
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34 Assume a 1/2" hole iş drilled 1 1/2" off-center on a 4" diameter circular disc. la shaft is keyed through the 1/2" hole and the disc is used as a cam, the lift cam will be A. 2 3/4" B. 3" C. 3 1/4" D. 3 1/2
The cam lift is 3 1/2 inches, which is option D.
To determine the lift of the cam, we need to find the distance from the center of the disc to the highest point of the cam surface.
First, we can find the distance from the center of the disc to the edge of the 1/2" hole. Since the hole is drilled 1 1/2" off-center, this distance is:
(4"/2) - 1 1/2" = 1"
Next, we can find the radius of the cam surface by adding the radius of the shaft (1/2") to the distance from the center of the disc to the edge of the 1/2" hole (1"):
1/2" + 1" = 1 1/2"
Finally, we can find the distance from the center of the disc to the highest point of the cam surface by adding the radius of the disc (4"/2 = 2") to the radius of the cam surface (1 1/2"):
2" + 1 1/2" = 3 1/2"
Therefore, the lift of the cam is 3 1/2 inches, which is option D.
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Prove, For every integer k >= 5, k2 – 3k >=10.
Mathematical induction can be used to prove that for every integer k ≥ 5, k^2 - 3k ≥ 10.
Base Case: Let k = 5,
Then, k^2 - 3k = 5^2 - 3(5) = 10
Since 10 >= 10 is true, the base case holds.
Inductive Step: Assume that for some integer n >= 5, n^2 - 3n >= 10 is true.
We want to prove that (n + 1)^2 - 3(n + 1) >= 10 is also true.
Expanding the left-hand side of the inequality, we get:
(n + 1)^2 - 3(n + 1) = n^2 + 2n + 1 - 3n - 3
On simplifying ,we get:
n^2 - n - 2 >= 0
On factoring,we get:
(n - 2)(n + 1) >= 0
Since n >= 5, n - 2 >= 3, and n + 1 >= 6, so both factors are positive. Therefore, the inequality is true for all n >= 5.
By mathematical induction, we have proved that for every integer k >= 5, k^2 - 3k >= 10.
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What is the equation of the following line written in general form (4,5) (1,2)
The equation of the line written in general form (4,5) (1,2) is y - x = 1.
The formula to find the line equation from two points is as follows -
(y - [tex] y_{1}[/tex])/(x - [tex] x_{1}[/tex]) = ([tex] y_{2}[/tex] - [tex] y_{1}[/tex])/([tex] x_{2}[/tex] - [tex] x_{1}[/tex]). In the formula, [tex] y_{1}[/tex] and [tex] y_{2}[/tex] are initial and final y-axis values and [tex] x_{1}[/tex] and [tex] x_{2}[/tex] are initial and final x-axis values.
Keep the values in formula to find the equation -
(y - 5)/(x - 4) = (2 - 5)/(1 - 4)
Simplifying the equation
(y - 5)/(x - 4) = -3/-3
Divide the values
(y - 5)/(x - 4) = 1
Rewriting the equation
(y - 5) = (x - 4)
Rearranging the equation
y - x = 5 - 4
y - x = 1
Hence, the equation of line is y - x = 1.
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What are the exact values of the cosecant, secant, and cotangent ratios of 5pi/6?
The exact values of the cosecant, secant, and cotangent ratios of 5π/6 are 2, -2/√3, and -√3, respectively.
Solution to the cosecant, secant and cotangentTo find the exact values of the cosecant, secant, and cotangent ratios of an angle of 5π/6, we need to use the definitions of these trigonometric functions and the values of the sine, cosine, and tangent of this angle.
First, we can find the sine and cosine of 5π/6 using the unit circle or reference angles:
sin(5π/6) = sin(π/6) = 1/2
cos(5π/6) = -cos(π/6) = -√3/2
Then, we can use the definitions of the cosecant, secant, and cotangent ratios:
cosec(5π/6) = 1/sin(5π/6) = 1/(1/2) = 2
sec(5π/6) = 1/cos(5π/6) = -2/√3
cot(5π/6) = cos(5π/6)/sin(5π/6) = (-√3/2)/(1/2) = -√3
Therefore, the exact values of the cosecant, secant, and cotangent ratios of 5π/6 are 2, -2/√3, and -√3, respectively.
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Kaelyn was one of four hundred eighty people who waited in line for a chance to appear on a reality television show. If 30 people were selected at random, what is the probability that Kaelyn was selected?
Answer:
To calculate the probability that Kaelyn was selected out of 30 people chosen at random from a group of 480 people, we can use the concept of probability.
Given:
Total number of people in the group (N) = 480
Number of people chosen (n) = 30
We want to find the probability of Kaelyn being selected, which is the probability of selecting 1 person out of 480 people, or 1/480.
So, the probability that Kaelyn was selected is:
P(Kaelyn) = 1/480
This is the final answer, as it represents the probability of Kaelyn being selected out of 30 people chosen at random from a group of 480 people.
Step-by-step explanation:
Answer:
To calculate the probability that Kaelyn was selected out of 30 people chosen
Step-by-step explanation:
A circle is painted in the center of a basketball court. If the diameter of the circle is 12 feet, what is the approximate amount of space inside of the circle? (Use 3. 14 as an approximation of pi. )
The approximate amount of area in the circle is 113.04 square feet.
The area of a circle is given through the expression [tex]A = \pi r^2[/tex], in which π is about equal to 3.14, and r is the radius of the circle.
In this instance, we are given the diameter of the circle, that is 12 feet. The radius of the circle is half of the periphery, so the radius is
r = 12 / 2 = 6 feet
Now, we're suitable to use the methodology for the area of a circle to discover the approximate amount of space within the circle
[tex]A = \pi r^2 = 3.14 * 6^2 = 3.14 * 36 \approx 113.04[/tex] square feet[tex]A = \pi r^2[/tex]
Accordingly, the approximate amount of area in the circle is 113.04 square feet.
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PLS HELP HELP
Simplify
sqrt y^6 where y≥0
The simplified expression for this problem is given as follows:
[tex]\sqrt{y^6} = y^3[/tex]
How to simplify the expression?The expression for this problem is defined as follows:
[tex]\sqrt{y^6}[/tex]
The power of a power rule is used when a single base is elevated to multiple exponents, and the simplified expression is obtained keeping the bases and multiplying the exponents.
The square root is equivalent to an exponent of 1/2, while the exponent of y is of 6, hence the exponent f the simplified expression is given as follows
1/2 x 6 = 3.
Hence the simplified expression for this problem is given as follows:
[tex]\sqrt{y^6} = y^3[/tex]
More can be learned about the power of a power property at brainly.com/question/11975096
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if a point (x,y) is equidist point from the point (2,3) and (6,1) show that the equation of locus is given by 2x -y =8
If a point (x,y) is equidist point from the point (2,3) and (6,1) then the equation of locus is given by 2x -y =6
Using distance formula, the distnace between point (x, y) and (2, 3) is,
d₁ = √[(2 - x)² + (3 - y)²]
And the distnace between point (x, y) and (6, 1) is,
d₂ = √[(6 - x)² + (1 - y)²]
A point (x,y) is equidist point from the point (2,3) and (6,1)
⇒ d₁ = d₂
⇒ √[(2 - x)² + (3 - y)²] = √[(6 - x)² + (1 - y)²]
⇒ (2 - x)² + (3 - y)² = (6 - x)² + (1 - y)²
⇒ 4 - 4x + x² + 9 - 6y + y² = 36 - 12x + x² + 1 - 2y + y²
⇒ -4x + 12x - 6y + 2y = 37 - 13
⇒ 8x - 4y = 24
⇒ 2x -y = 6
Hence proved.
Learn more about the equation of locus here:
https://brainly.com/question/19578071
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The complete question is:
if a point (x,y) is equidist point from the point (2,3) and (6,1) show that the equation of locus is given by 2x -y = 6
pleasehelp due today
Answer:
11
Step-by-step explanation:
Volume of right cone = (1/3) · π · r² · h
V = 968π
h = 24 units
Let's solve
968π = (1/3) · π · r² · 24
2904π = π · r² · 24
121π = π · r²
121 = r²
r = 11
So, the radius is 11 units.
