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The scatter plot shows the number of strawberries that have been picked on the farm during the month of February: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Strawberries and the x axis is labeled Days in February Part A: Using computer software, a correlation coefficient of r = 0. 01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm

According to given information, the ratio of white keys to black keys is 5:2.

In mathematics, a ratio is a comparison of two quantities or values. It expresses how many times one quantity is contained in another. Ratios can be written in the form of a fraction, using a colon, or using the word "to".

The ratio of black keys to white keys is 6:15. To find the ratio of white keys to black keys, we can write the same ratio in terms of white keys first, then simplify it.

The ratio of white keys to black keys can be found by inverting the ratio of black keys to white keys, which gives:

15:6

We can simplify this ratio by dividing both the numerator and denominator by the greatest common factor, which is 3. Dividing by 3 gives:

5:2

Therefore, the ratio of white keys to black keys is 5:2.

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Answer:

one?

Step-by-step explanation:

daniel                    iseki    

week 1. 20-3=17    week 1. 12+4=16

week 2. 17-3=14    week 2. 16+4=20

week 3. 14-3=11     week 3. 20+4=24

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

the answer is C. the function had a slope of 9 and a y-intercept of 1/9

The function plotted on graph has a slope of 9 and its

y-intercept is -10.

The general equation of a straight line is -

y = mx + c

where -

m is the slope of line

c is the y - intercept

Given is a graph of a Straight line.

For a straight line, as discussed above -

c represents the y - intercept and m represents the slope.

Now, from the graph it can be seen that the graph cuts the y - axis at

y = - 10. Therefore, the y - intercept will be -10.

Now, at x = 2, y = 8 and at x = 0, y = -10 . Putting values, we get -

m = (y[2] - y[1]) / x[2] - x[1])

m = (- 10 - 8)/(0 - 2)

m = 9

Therefore, the function plotted on graph has a slope of 9 and its

y-intercept is -10.

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There is the not sufficient evidence that the average small business loan is different that the amount stated in the  investment blog.

We have,

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Here we have given that,

Claim: To check whether the average small business loan is different that the amount stated in the  investment blog.

The hypothesis is,

H0: μ= 20 thousand dollars  Versus  H0: μ ≠ 20 thousand dollars

We have given that,

n= Number of observation = 25

x bar  = sample mean =18.5

S= sample standard deviation =5

Here, population standard deviation is unknown, we use the one sample t test.

t - statistics = (x bar - μ) / (s / √n)

                  = (18.5 - 20) / (5 / √25)

                  = -1.342

we get,

the Test statistic is -1.342

Now we find the P-value

α = level of significance = 0.05

Degrees of freedom = n - 1 = 25 - 1 = 24

This is two tailed test as our interest is to show the population mean is equal or not equal to zero.

Now, we can find the P-value

P-value = 0.1922     Using EXCEL = TDIST( | t-statistics | = 1.342 , D.F=24, tail=2)

Hence, There is the not sufficient evidence that the average small business loan is different that the amount stated in the investment blog.

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complete question:

Complete the steps of a one-mean hypothesis test with Population SD unknown ritical Value Approach Complete the steps of a one-mean hypothesis test with Population SD unknown - Critical Value approach Question An investment blog states the average small business loan is 20 thousand dollars. A business loan broker would like to test the claim that the average small business loan is different than the amount stated in the investment blog. To test this claim at the 5% significance level, the business loan broker collects the following data on a sample of 25 small business loans and records the amount of the loan. The following is the data from this study: Sample size=25 small business loans Sample mean= 18.5 thousand dollars Sample standard deviation = 5 thousand dollars Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=..<, or > to represent the correct hypothesis.) Provide your answer below: null hypothesis: 20 alternative hypothesis: 20

Answer:

took me a minute the answer is D. (3a^2b)/(5).

I got some things like when I simpley the equation

(15a^2)(4b)

To show that a^(t-1) + a^(t-2) + ... + 1 is congruent to 0 (mod p), we can use the fact that a has order t (mod p).

Recall that the order of an integer a (mod p) is the smallest positive integer k such that a^k is congruent to 1 (mod p). Therefore, we know that a^t is congruent to 1 (mod p) and that a^k is not congruent to 1 (mod p) for any positive integer k < t.

Now, let's consider the expression a^(t-1) + a^(t-2) + ... + 1. We can write this as:

a^(t-1) + a^(t-2) + ... + a + 1 - a^t + a^t

Notice that we added and subtracted a^t in the expression. We can do this because adding or subtracting a multiple of p does not change the congruence class (mod p).

Now, let's focus on the first part of the expression:

a^(t-1) + a^(t-2) + ... + a + 1 - a^t

We can factor out an "a" from each term in the first part to get:

a(a^(t-2) + a^(t-3) + ... + a^2 + a + 1) - a^t

Notice that the expression in the parentheses is a geometric series with common ratio a and first term 1. Therefore, we can use the formula for the sum of a geometric series to get:

a^(t-1) + a^(t-2) + ... + a + 1 = (a^t - 1)/(a - 1)

Plugging this into our original expression, we get:

(a^t - 1)/(a - 1) - a^t + a^t

Simplifying, we get:
(a^t - 1)/(a - 1)
Now, we can use the fact that a has order t (mod p) to show that this expression is congruent to 0 (mod p).

Since a has order t (mod p), we know that a^t is congruent to 1 (mod p) and that a^k is not congruent to 1 (mod p) for any positive integer k < t. Therefore, a - 1 is not congruent to 0 (mod p), since otherwise we would have a^k congruent to 1 (mod p) for some k < t.

Therefore, we can invert a - 1 (mod p) to get a unique solution for x such that (a - 1)x is congruent to 1 (mod p). Multiplying both sides of the expression (a^t - 1)/(a - 1) by x, we get:

(a^t - 1)x/(a - 1) congruent to x(0) (mod p)

Simplifying, we get:

(a^t - 1)x/(a - 1) congruent to 0 (mod p)

Since a - 1 is not congruent to 0 (mod p), we can multiply both sides by (a - 1) to get:

a^t - 1 congruent to 0 (mod p)

Therefore, we have shown that a^(t-1) + a^(t-2) + ... + 1 is congruent to 0 (mod p), as desired.

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The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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Answer:

Using a standard normal distribution table, we can find that the percentage of homes that have a monthly utility bill of more than $83 is approximately 13.6%.

Step-by-step explanation:

If the distribution of the monthly utility bill for gas or electric energy can be considered mound-shaped and symmetric, we can use the standard normal distribution table to find the percentage of homes that have a monthly utility bill of more than $83.

To use the standard normal distribution table, we need to standardize the variable by subtracting the mean and dividing by the standard deviation:

(83 - 91) / 8 = -0.875

This means that a monthly utility bill of $83 is 0.875 standard deviations below the mean.

Using a standard normal distribution table, we can find that the percentage of homes that have a monthly utility bill of more than $83 is approximately 13.6%.

Answer: 1/3

Step-by-step explanation:

the card is not being replaced, so it is a dependent event.

Event A: picking an odd number

There are 4 cards total, and 2 odd numbered cards.

P(A) = 2/4 = 1/2

Event B: picking an even number.

There are now three cards total, because the card from Event A was not replaced. There are two even numbered cards.

P(B) = 2/3

P(A+B) = P(A) x P(B)

P(A+B) = 1/2 x 2/3 = 2/6 = 1/3

Answer:

15: 15,3

40: 8,10,2

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

3 and 7

18 and ?

(3x6= 18) therefor you multiple 7 and 6 which gets you 42. The answer is 42.

The solution for the differential equation is given by the differential equation's coefficients and the auxiliary equation.What is a differential equation?An equation involving a dependent variable, an independent variable, and the differential coefficients of the dependent variable with respect to the independent variable is called a differential equation (s).

The order of a differential equation is determined by the order of the differential coefficient of the highest degree. In this given problem, the differential equation of the solution is given by,`dx^2 dt + 5tx = t^4ln(t)`To solve the given differential equation, we first need to find the auxiliary equation.The auxiliary equation is given by,`m^2 + 5t = 0`The roots of the auxiliary equation are given by,`m = sqrt(-5t).

`The roots of the auxiliary equation are imaginary, so the general solution is given by,`x(t) = e^(p*t)(c1*cos(q*t) + c2*sin(q*t))`The particular solution is obtained by integrating the given function,`t^4ln(t) = 1/5 t^2 d/dt(t^5ln(t)) - 2/5 t^5`Therefore, the general solution to the differential equation is given by, `x(t) = c1 cos(sqrt(5)t) + c2 sin(sqrt(5)t) - t^2ln(t)/5 - 2t^5/25`.

The initial condition of the function is given by, `x(1) = 0`The general solution to the differential equation is given by,`x(t) = c1 cos(sqrt(5)t) + c2 sin(sqrt(5)t) - t^2ln(t)/5 - 2t^5/25`Now, we substitute the initial condition of the function to obtain the values of c1 and c2. We have,`x(1) = 0`Substituting this value in the general solution, we have,                     `0 = c1 cos(sqrt(5)) + c2 sin(sqrt(5)) - 2/25`Solving for c1 and c2, we get,`c1 = -c2 tan(sqrt(5)) - 2/(25 cos(sqrt(5)))` and `c2 = -2/(25 sin(sqrt(5)))`Hence, the solution to the initial value problem is given by,`x(t) = -2/(25 sin(sqrt(5))) sin(sqrt(5)t) - 2cos(sqrt(5)t)/(25cos(sqrt(5))) - t^2ln(t)/5 - 2t^5/25`.

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The width of Micayla's frame is Wf = (Lf x Wp) / Lp

Let's say that the painting has a length of Lp and a width of Wp, and the frame has a length of Lf and a width of Wf. We want to find the width of the frame, which we can call x. We know that Micayla wants to keep the same ratio of length to width between the painting and the frame, so we can set up the following equation:

Lp/Wp = Lf/Wf

This equation states that the ratio of the length to the width of the painting is equal to the ratio of the length to the width of the frame. We can use this equation to solve for x, the width of the frame. First, we can cross-multiply to get:

Lp x Wf = Lf x Wp

Then, we can solve for x by isolating it on one side of the equation:

Wf = (Lf x Wp) / Lp

This equation tells us that the width of the frame is proportional to the length of the frame and the width of the painting, divided by the length of the painting. By plugging in the appropriate values for Lp, Wp, and Lf, we can solve for x and determine the width of the frame.

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Answer:

a= 126

b= 54

c= 126

d= 54

e= 126

f= 54

g= 126

Step-by-step explanation:

To find a you would subtract 54 from 180 which would give you 126

Since a and b are another linear pair they would also add up to 180.

Then you move to c which is a linear pair with 54 so it is 126.

Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.

The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

The diagram shows two parallel lines cut by a transversal.

As we know from the definition of the vertically opposite angles:

b = 54 degrees

a + c = 54 + b  (a = c)

2a = 54x2

a = 54 degrees

Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.

Similarly:

b = 54

c = 126

d = 54

e = 126

f = 54

g = 126

Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

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The intersection of the graphs of the inequalities is shown by a compound inequality with a "and" in it.

When two inequalities are separated by "and" or "or," the result is a compound inequality. The intersection of the graphs of the inequalities is shown by a compound inequality with a "and" in it. A number is a compound inequality solution if it also solves the underlying inequality.

Divide a compound inequality into two individual inequalities before solving it. The solution should either be a union of sets ("or") or an intersection of sets ("and"). Inequalities and the graph should then be solved.

Compound inequality comes in two flavors. Both conjunction and disjunction issues are present. Sometimes, the two simple inequalities in these compound inequalities will be separated by the words AND or OR. When resolving compound "and/or" inequalities, start by resolving each inequality separately.

Therefore, the correct answer is option D.

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point B is located in quadrant II (option B)

Point A: (6, 3) = (x, y)

reflection of point A across the y axis:

The x coordinate will be negative and the y coordinate will remain the same

reflection of point A across the y axis = (-6, 3)

Attaching the graph showing the point after reflection:

Since point B is the reflection of point A.

Hence, point B is located in quadrant II (option B)

Answer:

31.4 is the answer

Step-by-step explanation:

Answer:

31.4

I hope this helps!

The new mean 101.5 is greater than the previous mean 94.

By adding up all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined. The median is the middle when a data set is sorted from least to greatest.

The distribution of a basketball team's score with a mean of 94 points per game and a high of 109 for the first 20 games.

Mean = 94,

Points per game = 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108 points.

Therefore,

The new mean = ( sum of observations) / Number of observations

New mean = ( 94 + 110 + 102 + 93 + 98 + 99 + 121 + 96 + 94 + 108) / 10

New mean = 1015 / 10

New mean = 101.5

101.5 > 94

Now, the new mean is greater than the previous mean.

Hence, the correct option is (A).

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Answer:

2304

Step-by-step explanation:

Given :-

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

\(:\implies\) CR = -18÷ 9 = -2

The 9 th term :-

\(:\implies\) T_n = arⁿ - ¹

\(:\implies\) T_9 = 9× (-2) ⁹ - ¹

\(:\implies\) T_9 = 9 × (-2)⁸

\(:\implies\) T_9 = 9 × 256

\(:\implies\) T_9 = 2304

Hence the 10th term is 2304.

The value of the expression 5(3r - 10) means the product of 5 and the difference of three times r minus 10. If r= 4, the value of the expression is 10.

Mathematical expression is mathematical statement which involves variables, numerical values, mathematical operations, and exponent.

Given the expression in words "the product of 5 and the difference of three times r minus 10"

Three times of 'r' is = 3r

Difference between three times of r and 10 = 3r - 10

The product of 5 and difference between three times of r and 10 = 5(3r - 10)

So the expression is given by, f(r) = 5(3r - 10)

Also the given value of the variable is, r = 4.

Substituting the value in the expression we get,

f(4) = 5(3*4 - 10) = 5*(12 - 10) = 5*2 = 10

Hence the value of the expression when r = 4 is 10.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The slope of the line that passes through points (2, 8) and (-3, 14) is -6/5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through points (2, 8) and (-3, 14).

(2, 8) = (a, b) and (-3, 14) = (c, d)

The slope of the line.

= (d - b) / (c - a)

= (14 - 8) / (-3 - 2)

= 6 / -5

= -6/5

Thus,

The slope of the line is -6/5.

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The value of x is 9 when f(x) = - 10.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -x - 1 _____(1)

f(x) = -10 ____(2)

Now,

From (1) and (2),

-x - 1 = -10

10 - 1 = x

x = 10 - 1

x = 9

Thus,

x is 9.

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The gross requirement for item B in Week 3 is 80 units.

The gross requirement for item B in Week 3, we need to calculate the demand for item B based on the bill of materials and the requirements for item A.

From the MPS (Master Production Schedule) provided, we can see that the gross requirement for item A in Week 3 is 80 units.

According to the bill of materials, item A requires 1 unit of item B. Therefore, the gross requirement for item B can be calculated by multiplying the gross requirement for item A by the quantity needed for item B in the bill of materials.

Gross requirement for item B = Gross requirement for item A × Quantity needed for item B in bill of materials

Gross requirement for item B = 80 units × 1 unit

Gross requirement for item B = 80 units

Therefore, the gross requirement for item B in Week 3 is 80 units.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

12,30

Step-by-step explanation:

Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)