The Euclidean Algorithm is used to find the greatest common divisor (GCD) of two numbers, this method has been applied to find the GCDs of multiple pairs of numbers.
Explanation:The Euclidean Algorithm is basically a method to find the greatest common divisor (GCD) of two numbers. It is based on the principle that the GCD of two numbers is the same as the GCD of the remainder when the larger number is divided by the smaller one.
gcd(12, 18): Using the Euclidean algorithm, 18 = 12*1 + 6. Now replace 18 with 12 and 12 with the remainder 6. So, 12 = 6*2 + 0. As we reached 0, our GCD is 6. gcd(111, 201): Apply the Euclidean algorithm, the GCD is 3. gcd(1001, 1331): The GCD is 11. gcd(12345, 54321): The GCD is 3. gcd(1000, 5040): The GCD is 40. gcd(9888, 6060): The GCD is 68. Learn more about Euclidean Algorithm here:
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Distributive Property: 2(5c-7)=1
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For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. the 50 paired ratings yield x overbarxequals=6.46.4, y overbaryequals=6.06.0, requals=negative 0.281−0.281, p-valueequals=0.0480.048, and modifyingabove y with caretyequals=8.128.12negative 0.323−0.323x. find the best predicted value of modifyingabove y with carety (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is xequals=55. use a 0.100.10 significance level.
To find the best predicted value of female attractiveness rating for a male rating of 5, substitute '5' for 'x' in the given regression equation, then calculate the result.
Explanation:In your given problem you have mentioned a linear regression equation, modifyingabove y with caretyequals=8.128.12negative 0.323−0.323x, that was derived from paired attractiveness ratings of males and females from 50 speed dates. The male attractiveness rating is your independent variable x and the female attractiveness rating is your dependent variable y.
You are asked to calculate the predicted female attractiveness rating if a male rates a female as 5 (x equals 5). To do this, you need to substitute x with 5 in the regression equation, which leads to the following calculation:
modifyingabove y with caret = 8.12 - 0.323 * 5.
By calculating this equation, you get the best predicted value of modifyingabove y with caret (attractiveness rating by female of male).
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Two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. both men do positive work, but joel does 50% more work than jerry. both men do positive work, but jerry does 50% more work than joel. both men do positive work, but joel does 75% more work than jerry. both men do positive work, but joel does 25% more work than jerry. neither of them does any work.
Help with this one can’t figure it out
9(T - 1) = 6(T + 2) - T
T = ?
what has to be added to the sum of 2/3 & 3/2 to get 3? give answer as whole number or fraction <question 10 in the image>
The radius of the circle is 7 inches what is the approximate length of AB (AB is 135 degrees
What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 and 9⁄121 f. 1⁄2, 3⁄18, and 4⁄9
Answer:
a. [tex]\frac{5}{6}[/tex],
b. [tex]\frac{5}{12}[/tex],
c. [tex]\frac{19}{45}[/tex],
d. [tex]\frac{13}{14}[/tex],
e. [tex]\frac{7}{11}[/tex],
f. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
(a)
[tex]\frac{5}{6}\text{ and }\frac{29}{36}[/tex]
Making denominator common.
[tex]\frac{5\times 6}{6\times 6}\text{ and }\frac{29}{36}[/tex]
[tex]\frac{30}{36}\text{ and }\frac{29}{36}[/tex]
Now compare the numerators.
[tex]30>29[/tex]
[tex]\frac{30}{36}>\frac{29}{36}[/tex]
[tex]\frac{5}{6}>\frac{29}{36}[/tex]
Therefore [tex]\frac{5}{6}[/tex] is largest fraction.
(b)
[tex]\frac{5}{12}\text{ and }\frac{3}{8}[/tex]
Making denominator common.
[tex]\frac{5\times 2}{12\times 2}\text{ and }\frac{3\times 3}{8\times 3}[/tex]
[tex]\frac{10}{24}\text{ and }\frac{9}{24}[/tex]
Now compare the numerators.
[tex]10>9[/tex]
[tex]\frac{10}{24}>\frac{9}{24}[/tex]
[tex]\frac{5}{12}>\frac{3}{8}[/tex]
Therefore [tex]\frac{5}{12}[/tex] is largest fraction.
(c)
[tex]\frac{2}{5}\text{ and }\frac{19}{45}[/tex]
Making denominator common.
[tex]\frac{2\times 9}{5\times 9}\text{ and }\frac{19}{45}[/tex]
[tex]\frac{18}{45}\text{ and }\frac{19}{45}[/tex]
Now compare the numerators.
[tex]18<19[/tex]
[tex]\frac{18}{45}<\frac{19}{45}[/tex]
[tex]\frac{2}{5}<\frac{19}{45}[/tex]
Therefore [tex]\frac{19}{45}[/tex] is largest fraction.
Similarly,
(d)
[tex]\frac{5}{7}\text{ and }\frac{13}{14}\text{ and }\frac{19}{21}[/tex]
By making denominator common, we get
[tex]\frac{30}{42}\text{ and }\frac{39}{42}\text{ and }\frac{38}{42}[/tex]
By comparing the numerators, we get 39 is greatest therefore [tex]\frac{13}{14}[/tex] is largest fraction.
(e)
[tex]\frac{7}{11}\text{ and }\frac{9}{121}[/tex]
By making denominator common, we get
[tex]\frac{77}{121}\text{ and }\frac{9}{121}[/tex]
By comparing the numerators, we get 77 is greatest therefore [tex]\frac{7}{11}[/tex] is largest fraction.
(d)
[tex]\frac{1}{2}\text{ and }\frac{3}{18}\text{ and }\frac{4}{9}[/tex]
By making denominator common, we get
[tex]\frac{9}{18}\text{ and }\frac{3}{18}\text{ and }\frac{8}{18}[/tex]
By comparing the numerators, we get 9 is greatest therefore [tex]\frac{1}{2}[/tex] is largest fraction.
what is the function for point (2,2)
if the leg of a right triangle are 3 ft and the 4ft the length of the hypotenuse is
The number of cartoons watched on saturday mornings by students in mrs. kelly's first grade class is shown below. number of cartoons watched x 0 1 2 3 4 5 probability p(x) 0.15 0.20 0.30 0.10 0.20 0.05 what is the mean of the data?
a.1.37
b.2.15
c.1.89
d.1.18
Olivia and ray walk to school. olivia walks 1\4 of a mile to school. her walks is 2\3 of the distance that ray walks to school. waht is the total distance, in miles that ray walks to school? answer
Dan is calculating the volume of two cylinders. Cylinder A has a radius of 2 feet and a height of 4 feet. Cylinder B also has a height of 4 feet, but the radius has been doubled. Which statement best describes the relationship between the volumes of the two cylinders? A) When the radius is doubled, the resulting volume is half the original volume. B) When the radius is doubled, the resulting volume is 2 times the original volume. C) When the radius is doubled, the resulting volume is 4 times the original volume. D) When the radius is doubled, the resulting volume is 8 times the original volume.
find the product of 9x^2+2x-7
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if there are 16 ounces in a pound how manyh are in 24 ounces
24 ounces equals 1.5 pounds, based on the conversion factor of 1 pound equals 16 ounces.
Explanation:Your question is related to unit conversion. If we know that one pound equals 16 ounces, then to convert 24 ounces to pounds, we must divide 24 ounces by the number of ounces in a pound. Here's how we can do it:
Set up the conversion: 24 oz / 16 oz/lb. Dividing these amounts gives the result: 24 / 16 = 1.5 lbs.S, this means that 24 ounces is equal to 1.5 pounds.
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8+5 (15-5) X 2
please help i know its 33 but i can't prove my work i did it in my head.
Answer:
108
Step-by-step explanation:
8 + 5·(15-5)·2
= 8 + 5·10·2
= 8 + 50·2
= 8 + 100
= 108
_____
Comment on the supposed answer
33 is the result of 8 + 5(15 -10). The contents of parentheses must be evaluated first. Then the multiplication. In any event, factors outside parentheses multiply every term inside parentheses, not just the one(s) you might pick or choose.
what is 4.1363636... as a fraction?
Answer:
x = [tex]\frac{91}{22}[/tex].
Step-by-step explanation:
Given : 4.1363636...
To find : Write as fraction .
Solution : We have given that
Let x = 4.1363636...
We can see number 36 ( 2 digit repeating ) so we will multiply it by 100
On multiplying both sides by 100
100x = 100 * 4.1363636...
100 x = 413 .63636 .....
We can write it in term of x
100 x = x + 409 .5
On subtracting both sides by x
100 - x = 409 .5
99 x = 409 .5
On dividing both sides by 99
x = [tex]\frac{409.5}{99}[/tex].
x = [tex]\frac{4095}{990}[/tex].
x = [tex]\frac{819}{198}[/tex].
On dividing both number by 9
x = [tex]\frac{91}{22}[/tex].
Therefore, x = [tex]\frac{91}{22}[/tex].
We have that the the Representation of 4.1363636 as fraction is
[tex]4.1363636=\frac{517}{125}[/tex]
From the question we are told that:
4.1363636. is in decimal form
Fraction
This is the representation of a number in the format of a numerator and a denominator
Generally, the Representation of 4.1363636 as fraction is mathematically given by
Having defined fractions we have that
[tex]4.1363636 \approx 4.136[/tex]
Therefore
The 4.1363636 as fraction is mathematically given by
[tex]4.1363636=\frac{517}{125}[/tex]
in conclusion
The the Representation of 4.1363636 as fraction is
[tex]4.1363636=\frac{517}{125}[/tex]
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a + 5=5a +5
[tex]a + 5 = 5a + 5 = [/tex]
Use the spinner shown. it is equally probable that the pointer will land on any one of the six regions. if the pointer lands on a borderline, spin again. if the pointer is spun twice, find the probability that it will land on grey and then purple
The probability of a spinner with six equally probable outcomes landing on specific colors in sequence (grey then purple) is 1/36 since the events are independent. Their individual probabilities (each 1/6) are multiplied to find the combined probability.
Explanation:The question involves a topic in probability called independent events. In this case, the spinner landing on grey in the first spin and purple in the second spin are independent events. That means, the outcome of the first event does not affect the outcome of the second event and vice versa.
Since the spinner has six regions, and landing on any one of them is equally probable, the probability of landing on grey (or any specific color) in one spin is 1/6. Similarly, the probability of landing on purple in one spin is also 1/6.
Since these events are independent, the probability of both these events happening in sequence can be found by multiplying the probabilities of each individual event happening. So, the probability of the spinner landing on grey in the first spin and then on purple in the second is (1/6)*(1/6) = 1/36.
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The probability of landing on the grey region first and then the purple region is 1/18.
Explanation:The question asks for the probability of landing on the grey region first, and then the purple region on a spinner. To find the probability, we first need to determine the total number of possible outcomes. Since the spinner has six regions, we have six possible outcomes on the first spin. If the spinner lands on a borderline, we spin again. So, on the second spin, we also have six possible outcomes. Since each spin is equally likely, the total number of possible outcomes is 6 x 6 = 36.
Next, we need to determine the number of favorable outcomes, which is the number of ways we can land on the grey region first and then the purple region. From the spinner, we can see that there are two grey regions and one purple region. So, the number of favourable outcomes is 2 x 1 = 2.
Finally, we can calculate the probability by dividing the number of favourable outcomes by the total number of outcomes: 2/36 = 1/18. Therefore, the probability of landing on the grey region first and then the purple region is 1/18.
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Show that the curvex = 2 cos t, y = 3 sin t cos t has two tangents at (0, 0) and find their equations.
4,000 is invested at 3% interest how much money must be invested at 5% interest so that the total interest from the two investments is $195 after a year
The length of the major axis of the ellipse below is 14, and the length of the red line segment is 3. how long is the blue line segment?
The length of the blue line segment is 11 units.
What is relation between sum of the distance of a point from the focus of ellipse and the length of major axis?For any point P on an ellipse, the sum of the distances from P to the two foci is equal to the length of the major axis of the ellipse. This is known as the "distance property" of an ellipse.
To see why this is true, consider an ellipse with foci F₁ and F₂ and major axis length 2a. Let P be any point on the ellipse, and let D₁ and D₂ be the distances from P to F₁ and F₂, respectively. Then, by definition of an ellipse, we know that:
D₁+ D₂ = 2a
Given that,
Two line segments
Red segments of length = 3 unit
So from the definition we know that,
The sum of segments = the length of major axis
The length of major axis = 2a
2a = D₁+ D₂
14= 3 + D₂
D₂ = 11
Therefore, the length of the blue line segment is 11 units.
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A store sells 48 count packages of Snickers candy bars for $27.50 per package, and 36 count packages of KitKat bars for $21.50 per package. Mrs. Sweettooth bought total of 204 Snickers and KitKat bars in the store and paid $119.50. How many of each candy bars did she buy?
To find out how many Snickers and KitKat bars Mrs. Sweettooth bought, we can solve a system of equations using the count and cost information.
Explanation:Let's assume that Mrs. Sweettooth bought x packages of Snickers and y packages of KitKat bars.
From the given information, we can set up two equations:
48x + 36y = 204 (equation 1) - representing the total count of candy bars27.50x + 21.50y = 119.50 (equation 2) - representing the total cost of the candy barsTo solve this system of equations, we can use a method called substitution:
Rearrange equation 1 to solve for x: x = (204 - 36y)/48Substitute the value of x in equation 2: 27.50[(204 - 36y)/48] + 21.50y = 119.50Simplify and solve for yOnce y is found, substitute its value back into equation 1 to find the value of xBy solving this system of equations, we can determine the number of Snickers and KitKat bars that Mrs. Sweettooth bought.
PLZ HELP ASAP TANGENTS OF CIRCLES WORD PROBLEMS
What is the volume of a rectangular prism with the dimensions: L = 1 in, W = 3/4 in, and H = 1/2in. V = LWH.
Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?
Q #6 in the figure A B || C D Find the measure ГGEB
the answer is b hoped i helped
A company makes three purchases on July 5, one for $550, another for $250 and a third for $75. It returns merchandise costing $35. If the Company is given a discount 2/10 and pays the total amount due on July 20, how much was due?