on 1 by 2 br 2 ar? Jere Ге 2 x 4d xdx = ? е 0 a,b,c and d are constants. Find the solution analytically.

A company has a monthly time series that regularly shows sales being higher in the summer months, this is an example of Seasonal Component  

A seasonal variation is a calendar-related and systematic effect. One example is an increase in water consumption during the summer due to warmer weather.

Other seasonal effects include trading day effects (the number of working or trading days in a given month varies from year to year, affecting the level of activity in that month) and moving holiday effects (the timing of holidays such as Easter varies, so the effects of the holiday will be experienced in different periods each year).

In the given question,

A company has a monthly time series that regularly shows sales being higher in the summer months,

This is an example of Seasonal variation in times series

As the Sales increases in every summer seasons

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The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

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In this given equation, any value of x and y will work, which will cause it to have infinite number solutions

What is an equation?

An equation is a mathematical statement showing that two or more values or mathematical expressions are equal or equivalent.

We represent an equation with the equation symbol (=).

Given the equation:

3x + 2y = 5

The lineear equation has infinitely many solutions

We know the standard form of a linear equation is:

ax + by = C

In this given equation, any value of x and y will work, which will cause it to have infinite number solutions

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Answer:

13,790

︎

︎

︎

︎

︎

︎

︎

︎

︎

︎

The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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Answer:c

Step-by-step explanation:

The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Answer:

A

Step-by-step explanation:

A relative frequency of 0.56 means that out of the total number of observations in a given sample or population, 56% of those observations belong to a particular category or have a certain characteristic.

In other words, it is the proportion or fraction of the observations that fall into that particular category or have that characteristic, relative to the total number of observations. For example, if we had a sample of 100 people and 56 of them had brown hair, then the relative frequency of brown hair would be 0.56 or 56%.

To calculate relative frequency, you divide the frequency of a specific event or category by the total number of observations. In this case, the specific event or category occurs 56% as often as the total events or categories observed.

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The name of the Platonic solid shown is D. Tetrahedron

From the question, we have the following parameters that can be used in our computation:

The Platonic solid

In the solid, we can see that there are

The Platonic solid that has this property is the Tetrahedron

Hence, the name of the Platonic solid shown is D. Tetrahedron

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The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

Step-by-step explanation:

The answer is postulate. That is a rule that is accepted as true without proof.

Answer:

c+22=45

Step-by-step explanation:

It is the answer

The TRUE statement about the factors and divisible numbers is c. 5 is not a factor of 2,058.

A factor of a number or value is a number or algebraic expression that can divide another number or expression evenly without leaving a remainder.

a) When 3 divides 2,058, the result is 686 without a remainder.  3 can divide 2,058 and is a factor of the number.

b) 2,058 can be divided by 7, giving 294 without a remainder.  7 is a factor of 2,058.

c) When 5 divides 2,058, the result is 411 with 3 as a remainder.  Therefore, 5 is not a factor of 2,058, unlike 3 and 7.

d) When 2 divides 2,058, the result is 1,029 without a remainder.  2 is a factor of 2,058.

Thus, the true statement about the factors is Option C.

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It is important to carefully interpret the results of hypothesis tests and significance tests in the context of the research question and the specific data being analyzed

If we conclude that β1 = 0 in a test of hypothesis or a test for significance of regression, it means that the slope of the regression line is not significantly different from zero. In other words, there is no significant linear relationship between the predictor variable (X) and the response variable (Y).

Since the correlation coefficient (ρ) measures the strength and direction of the linear relationship between two variables, a value of zero for β1 implies that ρ is also equal to zero. This means that there is no linear association between X and Y, and they are not related to each other in a linear fashion.

However, it is important to note that a value of zero for ρ does not necessarily imply that there is no relationship between X and Y. There could be a nonlinear relationship or a weak relationship that is not captured by the correlation coefficient.

Therefore, it is important to carefully interpret the results of hypothesis tests and significance tests in the context of the research question and the specific data being analyzed

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Answer:

Mouse = 7

Hedgehog = 6

Owl = 4

Final equation = -2

Step-by-step explanation:

Define the variables:

The variables in the second equation are the same. Therefore, begin with this equation to determine the value that the mouse represents (x):

\(\begin{aligned} \implies\sf Mouse + Mouse \times Mouse + Mouse &=63\\ x+x \times x+x&=63\end{aligned}\)

Following the order of operations, carry out the multiplication first:

\(\implies x+x^2+x=63\)

Add the like variables:

\(\implies x^2+2x=63\)

Subtract 63 from both sides:

\(\implies x^2+2x-63=0\)

Factor and solve for x:

\(\implies x^2+9x-7x-63=0\)

\(\implies x(x+9)-7(x+9)=0\)

\(\implies (x-7)(x+9)=0\)

\(\implies x-7=0 \implies x=7\)

\(\implies x+9=0 \implies x=-9\)

Therefore, the two possible values of the x are 7 and -9.

Evaluate the third equation where there are two variables:

\(\begin{aligned} \implies\sf Hedgehog \times Hedgehog - Hedgehog + Mouse &=37\\ y \times y-y+x&=37\end{aligned}\)

Carry out the multiplication first:

\(\implies y^2-y+x=37\)

Subtract 37 from both sides:

\(\implies y^2-y+x-37=0\)

As we have two possible values for x, substitute each value into the equation and solve for y.

Substitute x = 7 and solve for y:

\(\implies y^2-y+7-37=0\)

\(\implies y^2-y-30=0\)

\(\implies y^2-6y+5y-30=0\)

\(\implies y(y-6)+5(y-6)=0\)

\(\implies (y+5)(y-6)=0\)

\(\implies y+5=0 \implies y=-5\)

\(\implies y-6=0 \implies y=6\)

Substitute x = -9 and solve for y:

\(\implies y^2-y-9-37=0\)

\(\implies y^2-y-46=0\)

Using a calculator:

\(\implies y=\dfrac{1 \pm \sqrt{185}}{2}\)

Assuming the numbers should be integers, we can discount x=-9 as it gives a non-integer value of y.

Therefore:

Evaluate the first equation where there are two variables:

\(\begin{aligned} \implies\sf (Hedgehog + Owl) \times (Hedgehog - Owl)&=20\\ (y+z) \times(y-z)&=20\end{aligned}\)

Simplify this equation and isolate z²:

\(\implies (y+z) \times (y-z)=20\)

\(\implies y^2-zy+zy-z^2=20\)

\(\implies y^2-z^2=20\)

\(\implies z^2=y^2-20\)

As we have two possible values for y, substitute each value and solve for z.

Substitute y = -5 and solve for z:

\(\implies z^2=(-5)^2-20\)

\(\implies z^2=25-20\)

\(\implies z^2=5\)

\(\implies z=\sqrt{5}\)

Substitute y = 6 and solve for z:

\(\implies z^2=6^2-20\)

\(\implies z^2=36-20\)

\(\implies z^2=16\)

\(\implies z=4\)

Again, assuming the numbers should be integers, we can discount y=-5 as it gives a non-integer value of z.  Therefore:

Therefore, we have determined that:

Substitute the found values into the fourth equation and solve:

\(\begin{aligned}\implies \sf Owl + Mouse - Hedgehog - Mouse &=z+x-y-x\\&=4+7-6-7\\&=11-6-7\\&=5-7\\&=-2\end{aligned}\)

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Answer:

3.8

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Since the tenths place is where the 8 is 8 is over 5 and is closest to ten

Answer:

There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.

Step-by-step explanation:

84/18=14/3

60/32=15/8

Given,

The fraction is

The fraction decomposed by Tammi is,

The fraction decomposed by Orlando is,

The fraction formed by the Tammi's decomposed form,

The fraction formed by the Orlando's decomposed form,

Here, the forming fraction is 1 3/4. Hence, both are correct.

Answer: 20

Step-by-step explanation:

15 divided by 3 equals 5 and 15 plus 5 equals 20.

Using the given information, the guitar is less expensive at Store A

It is less expensive by $16

From the question, we are to determine where the guitar is less expensive.

A. Store A offers a discount of 75%. Therefore, the price of the guitar at Store A after the discount is:

Price at Store A = Original price * (1 - Discount percentage)

Price at Store A = $160 * (1 - 0.75)

Price at Store A = $40

Thus, the guitar is $40 at Store A after the discount.

B. Store B offers a discount of 50% off the original price, followed by an additional 30% off in all discounted prices. This means that the price of the guitar at Store B after the two discounts is:

Price at Store B = Original price * (1 - First discount percentage) * (1 - Second discount percentage)

Price at Store B = $160 * (1 - 0.5) * (1 - 0.3)

Price at Store B = $160 * 0.5 * 0.7

Price at Store B = $56

Thus, the guitar is $56 at Store B after the two discounts.

Hence, the guitar is less expensive at Store A

$56 - $40 = $16

It is less expensive by $16

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Answer:

420

Step-by-step explanation:

multiply them by each other

Answer:

420 square inches

Step-by-step explanation:

(5x12)x7=?

12x5=60

60x7=420

(5x12)x7=420

Hope this helped!

Answer:

y=4x-1 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Slope-intercept form:

So the equation is:

the least squares solution of AX = b is:

X =

[3/4]

[1/4]

[1]

[-1/4]

To find the least squares solution of the equation AX = b, we can use the pseudoinverse of matrix A.

The pseudoinverse of A, denoted as A+, is given by A+ = (A^T A)^-1 A^T, where A^T represents the transpose of A.

First, let's calculate A^T A:

A^T A =

[(-1)(-1) + (-1)(-1) + (-1)(-1) + (-1)(-1)  (-1)(1) + (-1)(-1) + (-1)(-1) + (-1)(-1)]

[(1)(-1) + (-1)(-1) + (-1)(-1) + (-1)(-1)   (1)(1) + (-1)(-1) + (-1)(-1) + (-1)(-1)]

Simplifying:

A^T A =

[4 0]

[0 4]

Next, let's calculate the inverse of A^T A:

(A^T A)^-1 =

[1/4 0]

[0 1/4]

Now, let's calculate A^T:

A^T =

[-1 -1 -1 -1]

[ 1 -1 -1 -1]

Finally, we can calculate the pseudoinverse A+:

A+ = (A^T A)^-1 A^T =

[1/4 0]

[0 1/4]

[-1 -1 -1 -1]

[ 1 -1 -1 -1]

Finally, we can find the least squares solution by multiplying A+ with b:

X = A+ b =

[1/4 0]

[0 1/4]

[-1 -1 -1 -1]

[ 1 -1 -1 -1]

[-1]

[ 0]

[ 0]

[-1]

Calculating the matrix multiplication:

X =

[ (1/4)(-1) + 0 + (-1)(0) + (-1)(-1)]

[ (0)(-1) + (1/4)(0) + (-1)(0) + (-1)(-1)]

[ (-1)(-1) + (-1)(0) + (-1)(0) + (-1)(-1)]

[ (1)(-1) + (-1)(0) + (-1)(0) + (-1)(-1)]

Simplifying:

X =

[3/4]

[1/4]

[1]

[-1/4]

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The gift basket maker will have to make and sell 2 basket for break even.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Given,

X is the number of basket made and sold

cost(c)= 4x+672

revenue(r)=282x

For breakeven,

4x+672 =282x

282x- 4x=672

278x=672

x=672/278

=2.41

So gift basket maker will have to make and sell 2 basket for break even.

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Answer:

nis maigeo/a

Step-by-step explanation:

Answer:

53,000

Step-by-step explanation:

Answer:

(a) Assume that f(x) is a real-valued function defined for all real numbers x

on an open interval whose center is a certain real number a. What does

it mean to say that f(x) has a derivative f

0

(a) at x = a, and what is the

value of f

0

(a)? (Give the definition of f

0

(a).)

(b) Use the definition of f

0

(a) you have just given in part (a) to show that if

f(x) = 1

2x − 1

then f

0

(3) = −0.08.

(c) Find lim

h→0

sin7

π

6 +

h

2

−

1

2

7

h

.

2. Let I be a bounded function on R and define f by f(x) = x

2

I(x). Show that

f is differentiable at x = 0.

3. Use the definition of derivative to find f

0

(2) for f(x) = x +

1

x

.

4. If g is continuous (but not differentiable) at x = 0, g(0) = 8, and f(x) = xg(x),

find f

0

(0).

5. (a) State the definition of the derivative of f(x) at x = a.

(b) Using the definition of the derivative of f(x) at x = 4, find the value of

f

0

(4) if f(x) = √

5 − x.

6. Let f be a function that is continuous everywhere and let

F(x) = f(x) sin2 x

x

if x 6= 0,

0 if x =

Answer:

I 1st you have to draw an angle

and in 2nd you have to find out the angle

it is too easy

The type of effectiveness MIS (Management Information System) metric among the options provided is C. Usability.

Usability is a measure of how easy and intuitive a system or application is for users to interact with and navigate. It focuses on the user experience and assesses the efficiency, effectiveness, and satisfaction of users when utilizing the system. Usability metrics can include factors such as learnability, efficiency of use, error rates, and user satisfaction.

Transaction speed (option A), system availability (option B), and throughput (option D) are not specific to effectiveness metrics. Transaction speed and throughput are typically associated with efficiency metrics, measuring the speed and rate at which transactions or processes are completed. System availability pertains to reliability metrics, measuring the uptime and accessibility of the system for users.

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