The actual content of fructose in the syrup is 31.72g.
To determine the actual content of fructose in the syrup, we need to first calculate the amount of total sugars in the syrup. Since the syrup is 75.65% total solids, the remaining 24.35% must be water.
If we assume that the weight of the syrup is 100g, then the weight of the water would be 24.35g and the weight of the total solids would be 75.65g.
Next, we need to calculate the amount of total sugars in the syrup. Since High fructose corn syrup - 42 has 42% of its total sugars as fructose, we can assume that the remaining 58% are glucose. Therefore, the amount of total sugars in the syrup would be:
75.65g (total solids) x 0.58 (percentage of glucose) = 43.93g of glucose
75.65g (total solids) x 0.42 (percentage of fructose) = 31.72g of fructose
Therefore, the actual content of fructose in the syrup is 31.72g.
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the accompanying dataset provides data on monthly unemployment rates for a certain region over four years. compare​ 3- and​ 12-month moving average forecasts using the mad criterion. which of the two models yields better​ results? explain.
To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.
To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.
We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.
Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).
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Full Question ;
The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2
4. Is 4(2x - 3) < 8(x + 1) always, sometimes, or never true?
The given inequality is always true for all real numbers.
Given, the inequality is :
4(2x - 3) < 8(x + 1)
Reduce the greatest common factor for both of the sides of the inequality:
2x - 3 < 2(x+1)
Apply Multiplicative distribution law:
2x - 3 < 2x + 3
Rearrange unknown terms to the left of the side of the equation:
2x - 2 < 2 + 3
Combine the like terms:
0 < 2+3
Calculate the sum or the difference.
0 < 5
The solution of the inequality is always true.
Hence we get the solution as the inequality being true to all real numbers.
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g A well-shuffled 52-card deck is dealt to 4 players. Find the probability that one of the players gets all 4 aces.
Answer:
Step-by-step explanation:
(4/52)^4
Diane wants to calculate the median in a set of scores, but there are two middle numbers. How should she determine the value of the median
By taking the average of the two middle numbers, Diane ensures that the median represents the central tendency of the dataset when there are an even number of values.
When there are two middle numbers in a set of scores, Diane can determine the value of the median by taking the average of the two middle numbers.
To find the median, Diane should follow these steps:
1. Arrange the scores in ascending order.
2. Identify the two middle numbers. If there is an even number of scores, there will be two middle numbers.
3. Take the average of the two middle numbers to determine the median value.
For example, let's say Diane has the following set of scores: 82, 75, 90, 86, 79, 88. To find the median, she would follow these steps:
1. Arrange the scores in ascending order: 75, 79, 82, 86, 88, 90.
2. Identify the two middle numbers: 82 and 86.
3. Take the average of the two middle numbers: (82 + 86) / 2 = 84.
Therefore, in this case, the median of the set of scores is 84.
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there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 51.5
Step-by-step explanation:
suppose our student center published data that the average starting salary for college graduates is 59k. you randomly sampled 49 college graduates and calculated the sample average salary is 44k. what test can you use to check whether the true average is 59k?
To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.
What is an Average?In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.
Equating :
It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.
When we analyze the given question, we find that,
The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.
Thus, in the present question we will use the One- sample T-test.
We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.
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9. PART A: Which of the following best summarizes
what Stanton wants her listeners to do?
O A Stanton wants the audience to protest the
federal government until women have the right
to vote.
O B Stanton wants the audience to take something
away from this speech and the Convention: a
sense of injustice.
OC Stanton encourages the audience to go out and
discuss what they heard that day at the
Convention with everyone they meet, in the
hopes they will change at least a few minds.
O D Stanton encourages the audience to spread
word of their cause, petition state and federal
governments, appeal to the church and press for
support, and continue with more conventions.
Answer:
D Stanton encourages the audience to spread the word for their cause
Step-by-step explanation:
I just know I have done the test and it makes the most sense. :)
The summary the can be deduced from the speech is that D. Stanton encourages the audience to spread word of their cause, petition state and federal governments.
What is a summary?It should be noted that a summary means a brief statement or account of an event.
Stanton was popular for the role that she played in women's suffrage. She advocated for change regarding how women were treated.
During the convention, she encouraged the audience to spread word of their cause, petition state and federal governments, appeal to the church and press for support, and continue with more conventions.
She also implored her husband, John to help form the new America.
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Task 2 given the table and graph, evaluate the following functions:
Answer:
1) -12, 2) 22, 3) 9, 4) 31, 5) 4, 6) 3, 7) 5Step-by-step explanation:
Use table for f(x) related questions and equation for g(x) related questions and both for the last one.
Q1 g(0) = 3*0 - 12 = 0 - 12 = - 12Q2f(0) = 22, the value of f(x) against the x = 0Q3g(7) = 3*7 - 12 = 21 - 12 = 9Q4f(-3) = 31, the value of f(x) against the x = -3Q5g(x) = 0 ⇒ 3x - 12 = 0 ⇒ 3x = 12 ⇒ x = 4Q6f(x) = - 3, x = 3, the value of x against the f(x) = - 3Q7f(g(6)) = f(3*6 - 12) = f(18 - 12) = f(6) = 5, the value of f(x) against x = 6You move right 1 unit and down 1 unit. You end at (2, -4). Where did you start?
Answer:
(3, -3)
Step-by-step explanation:
If you go right 1 unit and down 1 unit you have to do the opposite to get to your original point.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What series of transformations moves A ABC to ADFE? A. В. C. Pay E A D e Dilate by a scale factor of and rotate 180° Dilate by a scale factor of Dilate by a scale factor of 2 and rotate 180° Dilate by a scale factor of 2 and reflect across the x-axis and reflect across the x-axis
The transformation that maps △ABC to △DFE is dilate by a scale factor of 2 and rotate 90 clockwise
How to determine the transformationThe possible figure is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The figure (see attachment)
From the figure, we can see that
Triangle DFE is twice the triangle ABC in side lengths
This means that
(x, y) = (2x, 2y)
The orientations are 90 degrees clockwise apart
So, we have
(x, y) = (2y, -2x)
Hence, the transformation is (x, y) = (2y, -2x)
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-13, -11 -9,- 7,
What are the next three terms of the arithmetic sequence?
Answer:
-5, -3, -1, 1
Step-by-step explanation:
What are all values of x for which the function f defined by f(x) = (x2 - 3)e-x is increasing?.
The function f is increasing for x > 3/2.
To determine the values of x for which the function f is increasing, we need to find the critical points of f, which are the values of x where the function changes from increasing to decreasing or vice versa.
The first step is to find the derivative of f:
f'(x) = (2x - 3)e-x
Next, we need to find the critical points by setting f'(x) = 0 and solving for x:
(2x - 3)e-x = 0
2x - 3 = 0
x = 3/2
This is the only critical point of f. To determine the behavior of f near this critical point, we need to find the second derivative of f:
f''(x) = (2 - 3e-x)
For x < 3/2, f''(x) < 0, which means f is concave down and f'(x) is decreasing. This means that f is decreasing for x < 3/2.
For x > 3/2, f''(x) > 0, which means f is concave up and f'(x) is increasing. This means that f is increasing for x > 3/2.
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There are 10 teams in a basketball competition. Each team must play each of the other teams once. How many games will each team play? (A) 14 (B) 9 (C) 70 (D) 63
Two teams can be selected out of 10 teams in C(10,2) = 10!/8! 2! = 45 ways
=> If each team plays exactly 3 matches with each other team, number of matches will be 45 x 3 = 135.
:-)
Answer:
(B) 9Step-by-step explanation:
Number of teams = 10
Each team play each of the other 9 teams once.
Correct choice is B
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches
Which expressions give the monthly pay of an employee with 33 hours of training
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
In a triangle ABC, b=13cm c=17cm A=86 degree. Find B,C and a
Step-by-step explanation:
went to a calculator
it said
Side a = 20.66803
Side b = 13
Side c = 17
Angle ∠A = 86°
Angle ∠B = 38.863°
Angle ∠C = 55.137°
Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how much was each box?
Answer:each box cost =$3
Step-by-step explanation:
Amount of money Ms Hart has to spent on costume boxes=$40
Amount gotten as change after purchase=$4
Amount actually used up buying costume boxes =$40-$4=36
Since she bought 12 boxes , each box cost =$36/ 12=$3
Which expression is equivalent to 210x² - 63x?
21(10x + 3)
21x(10x - 3)
21x(10x + 3)
21(10x - 3)
Answer:
21x(10x - 3)
Step-by-step explanation:
21x(10x - 3) is equivalent to 210x² - 63x?
Given that 6x – 5y = 14
Find x when y = 2
Answer:
x = 4
Step-by-step explanation:
Given
6x - 5y = 14 ← substitute y = 2 into the equation
6x - 5(2) = 14
6x - 10 = 14 ( add 10 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Answer:
\(\huge\boxed{\sf x = 4}\)
Step-by-step explanation:
\(\sf 6x-5y = 14\\\\Put \ y = 2\\\\6x - 5(2) = 14\\\\6x - 10 = 14\\\\ Adding \ 10 \ to \ both \ sides\\\\6x = 14+10\\\\6x = 24\\\\Dividing \ both \ sides \ by \ 6\\\\x = 24 / 6\\\\x = 4\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807simplify x^4 y^2/x^2 y^6
a) x^6 y^8
b) x^2 y^4
c) x^2/y^4
d) y^4/x^2
Answer:
c) x^2 / y^4 is da answer
Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?
The probability of p(2 aces) is greater than the probability of p(3 diamonds).
Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.
A deck of cards always has 52 cards.
Out of those 52 cards, there are 4 different aces.
The deck of cards also contains 13 diamonds.
Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.
Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.
If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).
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which TWO numbers round to 3 as the nearest whole number?
A. 2.226
B. 2.562
C. 2.332
D. 2.351
E. 1.975
F. 2.864
, please
someone please help fast!!
for the following diagram, angles 3 and 6 are:
Answer:
alternate
is this an exam or test?
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Question:
Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable
Answer:
Erica:
\(0 \leq |x - y| < 10\)
Nita:
\(10 < |x - y| \leq 20\)
Step-by-step explanation:
Given
Players: Erica & Nita
Range: 0 to 20
Represent Erica with x and Nita with y
For Erica to win;
The difference between x and y must be less than 10 but greater than or equal to 0
i.e.
\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)
These two expressions can be merged together to be:
\(0 \leq |x - y| < 10\)
For Nita to win;
The difference between x and y must be greater than 10 but less than or equal to 20
i.e.
\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)
These two expressions can be merged together to be:
\(10 < |x - y| \leq 20\)
A quadrilateral is on a coordinate plane at points A(-3, 1) B(1, 4) C(5, 1) D(1, -2).
Which sides of the quadrilateral are parallel? Select all that apply!
Responses
A. AB and BC
B. BC and CD
C. AB and CD
D. There are no parallel sides
E. BC and AD
The correct option is E. BC and AD, are the two parallel sides of the quadrilateral ABCD.
Explain about the quadrilateral?Quadrilaterals are geometric figures with four sides and four vertices. Frequently, two of something like the sides are parallel, meaning implies that no matter how far they stretch, their distance from one another remains constant.quadrilateral on coordinate plane had points:
A(-3, 1) B(1, 4) C(5, 1) D(1, -2).
Find distance between points using distance formulae:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 + 3)² + (4 - 1)²
AB = √(4)² + (-3)²
AB = √16 + 9
AB = √25
AB = 5
CD = √(5 - 1)² + (1 + 2)²
CD = √(4)² + (3)²
CD = √16 + 9
CD = √25
CD = 5
As, sides Ab and CD are both equal of 5 units each, , then the sides in between them BC and AD will be parallel.
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how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)
(a) Show that the power series solution for the Associated Laguerre Equation must terminate. (b) Find a general expression for the power series coefficients in terms of the first coefficient.
(a) The power series solution for the Associated Laguerre Equation must terminate because the equation satisfies the necessary termination condition for a polynomial solution.
(b) The general expression for the power series coefficients in terms of the first coefficient can be obtained by using recurrence relations derived from the differential equation.
(a) The power series solution for the Associated Laguerre Equation, when expanded as a polynomial, must terminate because the differential equation is a second-order linear homogeneous differential equation with polynomial coefficients. Such equations have polynomial solutions that terminate after a finite number of terms.
(b) To find the general expression for the power series coefficients in terms of the first coefficient, one can use recurrence relations derived from the differential equation. These recurrence relations relate each coefficient to the preceding coefficients and the first coefficient. By solving these recurrence relations, one can express the coefficients in terms of the first coefficient and obtain a general expression.
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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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