Answer:
19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
Huxian needs to pack 171 pens
63 pencils
27 erasers
Hence the items can be divided in 9 bags
171/9
= 19
63/9
= 7
27/9
= 3
They can be packed in each bags as follows
19 pens
7 pencils
3 erasers
If your driving 60miles an hour and you drive for 1hour how far do you travel?
Answer:
60 miles
Step-by-step explanation:
1 hour=60 miles
1 hour=60 miles
It is known that amounts of money spent on textbooks in a year by students follow a normal distribution with mean $400 and standard deviation $50. Find the shortest range of dollar spending on textbooks in a year that includes 60% of all students.
The shortest range of dollar spending on textbooks in a year that includes 60% of all students is approximately $374 to $426.
To find the shortest range of dollar spending on textbooks that includes 60% of all students, we'll use the normal distribution properties. Given a mean (µ) of $400 and a standard deviation (σ) of $50, we need to find the range around the mean that covers 60% of the distribution.
Since the normal distribution is symmetrical, 60% of the area corresponds to 30% of the area in each tail. We'll use the z-score table to find the z-score corresponding to the 30% and 70% percentiles (since the table usually provides cumulative probabilities).
Looking up the z-score table, we find that a cumulative probability of 30% corresponds to a z-score of approximately -0.52, and a cumulative probability of 70% corresponds to a z-score of approximately 0.52.
Now, we'll use the z-score formula to find the corresponding dollar amounts:
X = µ + (z * σ)
For the lower end (z = -0.52):
X = 400 + (-0.52 * 50) ≈ 374
For the upper end (z = 0.52):
X = 400 + (0.52 * 50) ≈ 426
Thus, the shortest range of dollar spending on textbooks in a year that includes 60% of all students is approximately $374 to $426.
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how do we forecast using data that has seasonality?
How can we control volatility in various time series models?
What is a simple moving average method?
To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.
Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.
To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.
A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.
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How many lines of symmetry does this figure have
answer is :1
Step-by-step explanation:
A trapezoid can have at most one line of symmetry
Find the measure of <1
A. 35 degree
B. 81 degree
C. 82 degree
D. 116 degree
please help!!!
(Picture is provided)
Answer:
A. 35 degree
Step-by-step explanation:
The 116-degree angle must add with the inside angle to get 180. The inside angle is 64 degrees.
81 + 64 = 145
A triangle has 180 degree
180 - 145 = 35 degree
So, the answer is A
If the planes extend infinitely in all directions, where do plane ADB and line GA intersect?
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In piont A
Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. Which equation shows her estimate?
A. 10 + 5 + 10 + 5 = 30 meters
B. 12 + 3 + 12 + 3 = 30 meters
C. 13 + 3 + 13 + 3 = 32 meters
D. 13 + 4 + 13 + 4 = 34 meters
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
What is the exact perimeter of Jada’s garden?
Answer:
what is the answer
Step-by-step explanation:
Answer:
all i just know is the first question is C
Step-by-step explanation:
what ordered pair is a solution to the system of inequalities of y>2x y>3
A solution to the system of inequalities is the ordered pair (0, 4).
How to get a solution of the system of inequalities?Here we have the following system of inequalities:
y > 2x
y > 3
A solution of that system is an ordered pair (x, y) that makes both inequalities true.
Notice that the second inequality is true if y is larger than 3, then for example, we can choose y = 4, it makes the second inequality true, then the first one becomes:
4 > 2x
Now we can choose x = 0 so that inequality becomes true:
4 > 2*0
4 > 0
Then the point (0, 4) is a solution.
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Describe the set -8
interval notation.
Type [ or (
Answer: [-8, ∞)
Step-by-step explanation:
The set -8 interval notation is [-8, ∞), which indicates all numbers greater than or equal to -8 and less than infinity. This is a half-open interval, meaning that it includes the left endpoint of -8, but excludes the right endpoint of infinity.
let f(x) = x 4 2x 2 − x − 3. verify, using algebraic manipulations, that if f(p) = 0 then each of the following four functions have a fixed point at p
g1(x)=(3+x-2x2)1/4
g2(x)=(x+3-x4/2)1/2
g3(x)=x+3/x2+2)1/2
g4(x)=3x4+2x2+3/4x3+4x-1
We cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0.
To verify that if f(p) = 0, then each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p, we need to substitute p into each function and check if the result is equal to p.
g1(x) = (3+x-2x^2)^(1/4)
Let's substitute p into g1(x):
g1(p) = (3+p-2p^2)^(1/4)
To verify if g1(p) = p, we need to show that (3+p-2p^2)^(1/4) = p.
Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g1(x) has a fixed point at p without further calculations or approximations.
g2(x) = (x+3-x^4/2)^(1/2)
Let's substitute p into g2(x):
g2(p) = (p+3-p^4/2)^(1/2)
To verify if g2(p) = p, we need to show that (p+3-p^4/2)^(1/2) = p.
Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g2(x) has a fixed point at p without further calculations or approximations.
g3(x) = (x+3/x^2+2)^(1/2)
Let's substitute p into g3(x):
g3(p) = (p+3/p^2+2)^(1/2)
To verify if g3(p) = p, we need to show that (p+3/p^2+2)^(1/2) = p.
Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g3(x) has a fixed point at p without further calculations or approximations.
g4(x) = (3x^4+2x^2+3)/(4x^3+4x-1)
Let's substitute p into g4(x):
g4(p) = (3p^4+2p^2+3)/(4p^3+4p-1)
To verify if g4(p) = p, we need to show that (3p^4+2p^2+3)/(4p^3+4p-1) = p.
Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g4(x) has a fixed point at p without further calculations or approximations.
Therefore, based on algebraic manipulations alone, we cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0. Further calculations or approximations would be required to determine the fixed points of these functions.
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Select the correct answer. Which statement is true about the graph of this equation? y + 4 = 4(x + 1) A. The graph is a line that goes through the points (1,-4) and (0,0). B. The graph is a line that goes through the points (1,4) and (2,8). C. The graph is a line that goes through the points (-4,-1) and (-3,-3). D. The graph is a line that goes through the points (4,1) and (5,5).
Answer:
B
Step-by-step explanation:
plug in 1 for x and 4 for y
4 + 4 = 4(1+1)
8 = 8
Plug in 2 for x and 8 for y
8+ 4 = 4(2+1)
12 = 12
Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)
When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)
The sign is negative when the opening is down or to the left.
__
The opening directions are shown in the attachment.
Answer:
look below
Step-by-step explanation:
i did it
Find the approximate area of the shaded sector
Answer:
66.4
Step-by-step explanation:
169pie * 45/360 = 66.4
15 men can dig a trench of 90m long in 3 hours.how long will it take 16 men to dig a trench 48m long
It will take 1.5 hours for 16 men to dig a trench 48 m long.
How can this be calculated?It should be noted that the time needed is direct proportional to the length of the trench, and inverse proportional to number of men.
The equation can be written as
t=kl/m..................................................... eqn(1)
Then if we substitute the given figures we have,
3=90k/15
Then k= 0.5
then substitute into eqn(1) we have
t=0.5 l/m
Therefore, since 16 men, 48m long, is required, the time will now be calculated as :
t=0.5 48/16
t= 1.5 hrs.
Therefore, It will take 1.5 hours for 16 men to dig a trench 48 m long.
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An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
Subtract.
(−5k – 6) – (k − 6)
Can you help me solve the question
(- 5k - 6) - (k - 6)
= - 5k - 6 - k + 6
= - 6k
I NEED HELP ASAP PLEASEEEE
Answer: C. 512
Step-by-step explanation:
V= s^3
V= 8 x 8 x 8 = 512 cubic inches
Help me out please an thank
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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having a hard time with this
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
The volume of a right circular cone is 36 pi units^3 If the height of the cone is 12 units,what is the radius of the cone?
The radius of the cone is 3 units
Here, given the volume of a right circular cone and the height of the cone, we want to get the radius of the cone
Mathematically, we need the formula for the volume of a right circular cone
We have this formula as;
\(V\text{ = }\frac{1}{3}\times\pi\times r^2\times h\)We substitute the value of the volume and the height as follows;
\(\begin{gathered} 36\pi\text{ = }\frac{1}{3}\times\pi\times r^2\times12 \\ \frac{108\pi}{12\pi}=r^2 \\ \\ r^2\text{ = 9} \\ r\text{ = }\sqrt[]{9} \\ r\text{ = }\pm3\text{ units} \\ \text{radius cannot be negative so r = 3 units} \end{gathered}\)How does the sign of the last term of a trinomial help you know what type of factors you are looking for?
EXPLANATION
If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.
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One out of four girls favorite color is red, and three out of four girls favorite color is pink. If there were 500 girls , how many of them favorite color would be red?
Answer:
125
Step-by-step explanation:
1/4 of 500 (the total number of girls) is 125.
HTH :)
12-2x = -2(4-x) (find x) pls explain how u did it
\( = \: \: \: \: \: x = 5\)
I'm glad to help you
hope it helps
#carry on learning
Find the measure of the arc.
C
D
A
1469
E
B
MAB = [ ? ]°
Answer:
146 since the angle is a central that its measure is equal to the arc
19) Consider The Model Yi=B0+B1Xi+B2Ziui, If You Know The Variance Of Ui Is Σi2=Σ2zi2 How Would You Estimate The Regression?
To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.
In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.
To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.
In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.
By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.
Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].
By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.
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Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.
Both rectangles and squares have two sets of parallel sides.
Both rectangles and squares have four right angles.
Both rectangles and squares have four sides of equal length.
Answer:
Both rectangles and squares have four sides of equal length.
Step-by-step explanation:
Rectangle and square are the geometrical figures having four sides. They are the quadrilaterals with four sides. A rectangle is the quadrilateral in which opposite sides are equal. In a square all the sides are of equal length. The sides of both the rectangle and square are parallel. All angles form the right angles.
what percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean.
Approximately 68% of the cases in a normal distribution are between 0.5 standard deviations above and below the mean.
To find the percentage of cases that are between 0.5 standard deviations above and below the mean, we can add these two probabilities:
34% + 34% = 68%
The normal distribution, also known as the Gaussian distribution or the bell curve, is a probability distribution that is widely used in statistics, science, and engineering. A bell-shaped curve that is symmetrical around the mean value best describes the distribution. The distribution's mean, median, and mode are all equal, and the standard deviation defines the curve's width.
Height, weight, IQ, and measurement mistakes are only a few examples of the numerous random variables and natural phenomena that follow the normal distribution. In addition, the central limit theorem predicts that regardless of the underlying distribution of the variables themselves, the total or average of several independent random variables with similar distributions will converge to a normal distribution. Because of this characteristic, the normal distribution is a key idea in inferential statistics and hypothesis testing.
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Complete Question:-
What percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean? Give one percentage.
42% OF WHAT NUMBER IS 2? If you could please use the fiery cross?
Answer:
2100
Step-by-step explanation:
Sorry i dont know what the fiery cross is
Isaac walks 6/10 of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaac’s walking rate in miles per hourur
Answer: 3 mph
Step-by-step explanation:
I did it in mah brain