Given :
Number of bags with raspberry scones and blueberry scones should be equalThe greatest number of bags need to be made where each of them has equal numbers of each scone.Number of raspberry scones with Bryson = 51
Number of blueberry scones with Bryson = 34
To find the greatest number of bags Bryson can fill with equal number of raspberry and blueberry cones each, we need to find the GCF of the number of blueberry scones and raspberry scones.
Factors of 34 = 1, 2, 17, 34
Factors of 51 = 1, 3, 17, 51
Greatest common factor (GCF) of 34 and 51 = 17
Therefore, the greatest number of bags Bryson can fill with equal number of blueberry scones and raspberry scones = 17 bags
Based on the form of the equation, what is the best way to graph the line 3x+3y=15? Select the correct answer below: Recognize the equation as that of a vertical line passing through the x-axis at 15. Recognize the equation as that of a horizontal line passing through the y-axis at 15. Identify the slope and y-intercept, and then graph. Find the x- and y-intercepts, and then graph.
Suppose a die is loaded die. it is biased so that an outcome of 4 is three times as likely to occur as the other numbers. what is the probability that a four shows up when this die is rolled?
The probability of rolling a four with the loaded die is 1/3.
To find the probability of rolling a four with a loaded die, we need to determine the likelihood of that specific outcome occurring.
In this case, we are told that a four is three times as likely to occur as the other numbers. This means that the probability of rolling a four is three times greater than the probability of rolling any other number on the die.
Let's assume that the probability of rolling any other number on the die is represented by "x". Since the probability of rolling a four is three times greater, we can represent it as "3x".
To find the value of "x", we need to consider the total probability of all possible outcomes. In this case, we have six possible outcomes (numbers 1 to 6), and the probability of each outcome must sum up to 1 (or 100%).
Therefore, we can set up the following equation: x + x + x + x + x + 3x = 1.
Simplifying the equation, we have: 6x + 3x = 1.
Combining like terms, we get: 9x = 1.
Dividing both sides by 9, we find: x = 1/9.
So, the probability of rolling any other number on the die (besides a four) is 1/9.
Now, to find the probability of rolling a four, we substitute the value of "x" back into our equation. Since 4 is three times more likely, the probability of rolling a four is:
3 * (1/9) = 3/9
= 1/3.
Therefore, the probability that a four shows up when this loaded die is rolled is 1/3.
Conclusion: The probability of rolling a four with the loaded die is 1/3.
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Randy divides (2x4 – 3x3 – 3x2 7x – 3) by (x2 – 2x 1) as shown below. what error does randy make? x squared minus 2 x 1 startlongdivisionsymbol 2 x superscript 4 baseline minus 3 x cubed minus 3 x squared 7 x minus 3 endlongdivisionsymbol. minus 2 x superscript 4 baseline minus 4 x cubed 2 x squared to get a remainder of x cubed minus 5 x squared 7 x. minus x cubed minus 2 x squared x to get a remainder of negative 3 x squared 6 x minus 3. minus negative 3 x squared 6 x minus 3 to get a remainder of 0 and a quotient of 2 x squared x 3. he makes a subtraction error. he makes an error writing the constant term in the quotient. he makes an error choosing the x-term in the quotient. he makes an error rewriting the problem in long division.
By subtracting this from the dividend, the next step would be:
\((2x^4 - 3x^3 - 3x^2 + 7x - 3) - (-5x^3 + 10x^2 - 5x) = 2x^4 + 2x^3 - 13x^2 + 12x - 3\)
This error occurs because he forgets to distribute the -2 in \(-2(x^2 - 2x + 1)\)when subtracting from \(2x^4\). This leads to a mistake in the next step when he subtracts \(x^3 - 2x^2\) from \(x^3 - 5x^2\) to get \(-3x^2\)instead of \(-3x^2 + 6x\). This error then leads to the incorrect constant term in the quotient.
Therefore, the error Randy makes is a subtraction error in the first step of the long division. It is important to pay attention to signs and distribute coefficients correctly when performing long division with polynomials.
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Answer: A. x + 2
Step-by-step explanation:
Edge 2023
Please help!!!!!!!!!!!!!!!!
Answer:
TRUE
Step-by-step explanation:
The answer is TRUE.
yoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΩΛΛΛΛΛΛΛΛΛΔΔΔΔΔΔΔΑΑΑΑΑΣΦδβψω
Answer:
uhhhhhhhhhh
Step-by-step explanation:
hiiii
Actual demand for the past 16 periods is shown below. Prepare a trend adjusted exponential smoothing forecast using the following parameters: a = 4, B = .3, TAF5 = 652.67, and T5 = -33. (Round all you
To forecast future demand using trend adjusted exponential smoothing, the given information includes actual demand for the past 16 periods and the parameters required for the forecast. The parameters include the smoothing constant (α), the trend smoothing constant (β), the trend-adjusted forecast for period 5 (TAF5), and the trend for period 5 (T5).
The question asks to prepare a trend-adjusted exponential smoothing forecast based on these parameters.
Trend adjusted exponential smoothing combines exponential smoothing with a trend component to forecast future values. The formula for calculating the forecast is:
Ft+1 = Ft + Tt + α * (At - Ft) + β * (Tt - Tt-1)
Where:
Ft is the forecast for period t
Tt is the trend component for period t
At is the actual demand for period t
α is the smoothing constant
β is the trend smoothing constant
To start, we need to initialize the forecast and trend values. In this case, we are given the trend-adjusted forecast for period 5 (TAF5) and the trend for period 5 (T5). So, we set F5 = TAF5 and T5 = T5.
Next, we can use the formula to calculate the forecast and trend values for the remaining periods.
We iterate through the periods from t = 6 to t = 16, applying the formula to update the forecast and trend values based on the actual demand for each period.
Finally, we round the forecast values to the desired precision.
By following this procedure and applying the given parameters, we can prepare a trend-adjusted exponential smoothing forecast for the future demand.
The forecast values will reflect the trend in the historical data while incorporating the smoothing constants for better accuracy.
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PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:
Answer:
horizontal line: y=-4
vertical line: x=-3
Step-by-step explanation:
This one is simple. all you need to do is look at the x and y in the ordered pair.
Horizontal goes left and right so it's for y
Vertical goes up and down so it's for x
let me know if you need more explaining :)
PLEASE HELP PLEASE I WILL THANK YOU!!
If you want to purchase a 5-inch fish, two 2-inch fish, and
three 3-inch fish, how many gallons of water should the
aquarium hold?
Answer:
18 gallons of water in the aquarium
A student has a total of $1.60 consisting of nickels and dime. The ratio of nickels to dimes is 2:3. How many dimes does the student have?
The number of dimes students has is 12 dimes.
We are given that;
Ratio= 2:3
Cost= $1.60
This is a question that can be solved using a system of linear equations. Let x be the number of nickels and y be the number of dimes. Then we have:
0.05x+0.10y=1.60
for the total amount of money, and
yx=32
for the ratio of nickels to dimes. To solve this system, we can use the substitution method. First, we isolate x in the second equation:
x=32y
Then we substitute this expression for x in the first equation:
0.05(32y)+0.10y=1.60
Simplifying, we get:
301y+101y=1.60
Adding the fractions, we get:
304y=1.60
Multiplying both sides by 30, we get:
4y=48
Dividing both sides by 4, we get:
y=12
The student has 12 dimes.
Therefore, by the given ratio the answer will 12 dimes.
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Shreya sold half of her comic books and
then bought nine more. She now has 23.
With how many did she begin?
Answer:
28
Step-by-step explanation:
Before she bought 9, she had 14. That was equal to the number sold, so she started with 14+14 = 28 comic books.
What is the circumference of a circle with a diameter of 24 inches ?
Answer:
75.4
Step-by-step explanation:
The circumference of the circle whose diameter is 24 inches is 75.36 inches.
We have,
A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The diameter of the circle, d = 24 inches,
Calculate the circumference of the circle as shown below,
we know that,
Circumference is:
C = 2 × π r
= π d
so, we get,
C = π × 24
Calculate the circumference as shown below,
C = 3.14× 24
we know that,
24x3.14 = 75.36
C = 75.36
Thus, the circumference is 75.36 inches.
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8. (4 pts) Let m= (1, 2, 3) and n=(5. 3.-2). Find the vector projection of monton, that is, find proj, m. You do not need to simplify (radicals in denominators are okay).
The vector projection of vector m onto vector n can be found by taking the dot product of m and n, dividing it by the magnitude of n squared, and then multiplying the result by vector n.
To find the vector projection of m onto n, we first need to calculate the dot product of m and n. The dot product of two vectors is obtained by multiplying their corresponding components and summing them up. In this case, the dot product of m and n is calculated as (1 * 5) + (2 * 3) + (3 * -2) = 5 + 6 - 6 = 5.
Next, we need to find the magnitude of n squared. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. In this case, the magnitude of n squared is calculated as \((5^2) + (3^2) + (-2^2) = 25 + 9 + 4 = 38\).
Finally, we can calculate the vector projection by dividing the dot product of m and n by the magnitude of n squared and then multiplying the result by n. So, the vector projection of m onto n is (5 / 38) * (5, 3, -2) = (25/38, 15/38, -10/38).
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
2( x + 7) - (-18 + 4/5)
Answer:
\(2x+ \frac{156}{5}\)
Step-by-step explanation
simplify step-by-step.
2(x+7)−(−18+
4
5
)
Distribute the Negative Sign:
=2(x+7)+−1(−18+
4
5
)
=2(x+7)+(−1)(−18)+−1(
4
5
)
=2(x+7)+18+
−4
5
Distribute:
=(2)(x)+(2)(7)+18+
−4
5
=2x+14+18+
−4
5
Combine Like Terms:
=2x+14+18+
−4
5
=(2x)+(14+18+
−4
5
)
=2x+ \(\frac{156}{5}\)
What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?
The equation of the line is y = 3x + 6
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3
y-intercept, c = 6
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = mx + c
So, we have
y = 3x + 6
Hence. the linear equation is y = 3x + 6
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how can I make him fall in love ?
There's no guaranteed way to make someone fall in love with you.
What is love?Love is a complex and deeply personal emotion that is influenced by a wide range of factors, including a person's upbringing, life experiences, and individual preferences and values.
The best approach is to simply be yourself, be kind and respectful, and let the relationship develop naturally over time. It's important to understand that you cannot control someone else's feelings, and trying to force or manipulate someone into falling in love with you is unlikely to result in a healthy and happy relationship.
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200 times 1000 + 300,000 divided by 3
First to get right gets brainliest
Answer:
76666.6666667
Step-by-step explanation:
what is x to the question 6x+9=-12
Hi there!
The answer is x = 3.5
Explanation:-
As per question,
\(6x+9=-12\)
\( = > 6x = - 12 - 9\)
\( = > 6x = - (12 + 9)\)
\( = > 6x = - 21\)
\( = > x = \frac{21}{6} \)
Reducing to lowest terms using table of 3, we get,
\( = > x = \frac{7}{2} \)
\( = > x = 3.5 \)
Answer:
6x+9=-12 -->6x= -12-9-->6x=-21-->x=-21/6-->-7/2Answer.
Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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What determines the carrying capacity of an ecosystem? a. the number of different types of organisms in an ecosystem b. the amount of available resources c. the square mileage it encompasses d. the ratio of biotic to abiotic factors
Answer: D
Step-by-step explanation: The maximum population size that an ecosystem can support is called carrying capacity. Limiting factors determine carrying capacity. The availability of abiotic factors (such as water, oxygen, and space) and biotic factors (such as food) dictates how many organisms can live in an ecosystem.
a simple random sample of 50 adults were asked to reveal their gross annual incomes. the variance of this sample:
A simple random sample of 50 adults were asked to reveal their gross annual incomes, variance of sample is an estimate of the variance of the population but may differ from the variance of the population.
The variability in a particular sample is determined using sample variance. A sample is a collection of observations taken from a population that can accurately reflect the entire population. The sample variance is calculated in relation to the data set mean. Additionally called the estimated variance.
The spread of the data points in a particular data set around the mean is measured using sample variance. The population refers to all observations made of a group. Calculating the population's variance becomes challenging as the number of observations rises. In this case, a predetermined number of observations are chosen that can be applied to the entire group as a whole.
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Complete question;
A simple random sample of 50 adults were asked to reveal their gross annual incomes. The variance of this sample:
is always smaller than the variance of the population.cannot be computed since the population size is not given.equals the variance of the population.is an estimate of the variance in the sampling distribution of the means of the gross annual incomes of all possible samples.is an estimate of the variance of the population but may differ from the variance of the population.How do ratio tables help when making predictions?
Answer:
it helps you know what to divide
pls help with math questions needed for class
Answer:
Exponential decay
Step-by-step explanation:
The general form of an exponential function is
\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.
In your example, P0 is 1 and a is 4/5.
A function is experiencing exponential growth when a > 1.
A function is experiencing exponential decay when 0 < a < 1.
4/5 lies between 0 and 1, so the function is experiencing exponential decay.
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary.
Age (yr) when award was won Frequency
15-24 27
25-34 33
35-44 14
45-54 4
55-64 6
65-74 1
75-84 1
Lower class limits are 15, 25, 35, 45, 55, 65, 75, Upper class limits are 24, 34, 44, 54, 64, 74, 84, Class width are 10 (all classes have a width of 10), Class midpoints are 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, Class boundaries are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) and Number of individuals included in the summary is 76.
Here are the details for the given frequency distribution:
Lower class limits are the least number among the pair
Here, Lower class limits are 15, 25, 35, 45, 55, 65, 75 respectively.
Upper class limits are the greater number among the pair
Here, upper limit class are 24, 34, 44, 54, 64, 74, 84 respectively.
Class width is the difference between the Lower class limits and Upper class limits which is 10 (all classes have a width of 10).
Class midpoints is the middle point of the lower class limits and Upper class limits which is 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5 respectively.
Class boundaries are the extreme points of the classes which are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) respectively.
Number of individuals = 27 + 33 + 14 + 4 + 6 + 1 + 1
= 76
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Hey guys i need help on this problem it from cpm idk if u guys know it but
Can u guys show it to me plz ;-; 2x-3=-x+3
Answer:
x = 2
Step-by-step explanation:
2x - 3 = -x + 3
+x +x
3x - 3 = 3
+3 +3
3x = 6
/3 /3
x = 2
Hope this helped! :)
help I don’t understand this
Answer: 90 degrees
Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.
form simultaneous equations and solved using only one method.
In the two digit number the unit digit is thrice the tens digit if 36 is added to the number the digits interchange their place find the number
Answer:
4
Step-by-step explanation:
12x+36=10{2x}+x
=12x+36=21x
=21x-12x-36
=9x=36
=4
Which awnser choice is a solution to the equation 3x-2=7
Answer:
x=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
X=3 because you would add 2 to seven Which equals 9. Then you would divide 9 by 3 which equals the answer 3.
Mason is tiling the floor of his bathroom, which measures 9.75 feet by 8.63 feet. He estimates the area. Will he have enough tile if he buys 90 square feet of tiles? Explain why or why not.
Answer: Yes he should have enough
===================================================
Explanation:
9.75 rounds up to 10
8.63 rounds up to 9
Then we can see that 10*9 = 90 is likely where Mason is getting that value from. Since we rounded up both times, this means that 90 is an overestimate of the area. The true area is something smaller
Use a calculator to see the true area is 9.75*8.63 = 84.1425 square feet, which is smaller than 90. This confirms that 90 sq ft is indeed an overestimate and leads to the conclusion that he should have enough tiles.
Side note: This assumes that Mason does not make too many mistakes in tiling the floor (or is perfect). This is why it's better to overestimate rather than underestimate.
5x=5y=1
15x-15y=-15 solve using substitution
Step-by-step explanation:
Step1
Make y the subject of the formula from equation 2
-15y/-15=-15-15x/-15
Y=15+15/15..............3
Substitute equ..... 3 to equ.... 1
5x-5(15+15/15)=1
5x-1(15+15/3)=1
3*5x-1*3(15+15/3)=1*3
15x-1(15+15)=3
15x-15-15pp=3
15x-30=3
15x=3+30
15x/15=33/15
x=2.2
From equation.....
5x-5y=1
5(2.2)-5y=1
11-5y=1
-5y=1-11
-5y/-5=10/-5
Y=-2
PROVE
FROM EQUATION ONE
5X-5Y=1
5(2.2)-5(-2)=1
11-10=1
1=1
SO Y=-2 AND X=2.2