conclusions concerning cause-and-effect relationships are only possible when the method is used. a. survey b. experimental c. correlational d. descriptive

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The present value of a four-period annuity of $200 per year, begins two years from today, can be calculated using the present value of an annuity formula.With a discount rate of 9%, the present value approx $703.30.

To calculate the present value of the annuity, we use the formula PV = C * [1 - (1 + r)^(-n)] / r, where PV represents the present value, C is the cash flow per period, r is the discount rate, and n is the number of periods.

In this case, C = $200, r = 9% (0.09 as a decimal), and n = 4. We substitute these values into the formula: PV = $200 * [1 - (1 + 0.09)^(-4)] / 0.09.

Next, we simplify the formula: PV = $200 * [1 - 0.683013455] / 0.09.

Evaluating the expression inside the brackets, we have PV = $200 * 0.316986545 / 0.09.

Performing the division, we find that the present value is approximately $703.30.

Therefore, the present value of the four-period annuity is approximately $703.30 when the discount rate is 9%.

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Answer:

$48

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = 200 × 0.08 × 3 = 48

I = $ 48.00

The simple interest accumulated

on a principal of $ 200.00

at a rate of 8% per year

for 3 years is $ 48.00.

Answer:

=11

Step-by-step explanation:

= -1 - 2(8)+7(4)

=-1-16+7(4)

= -1-16+28

=11

Step-by-step explanation:

-1^2-16+28

-1^2+12

-1+12=11

We have:

h(x) = f(x) - g(x) = 8x^2 - 3x^4

Taking the derivative, we get:

h'(x) = 16x - 12x^3

Thus, h'(-1) = 16 - 12(-1)^3 = 16 + 12 = 28.

Therefore, h'(-1) = 28.

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This is the derivative of the given function: f'(x) = (3*(x*cos(x) + 1)²) * (-x*sin(x) + cos(x)).

The function is: f(x) = (x*cos(x) + 1)³

We'll use the Chain Rule for differentiation, which states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

In this case, the outer function is g(u) = u³, and the inner function is h(x) = x*cos(x) + 1.

First, find the derivative of the outer function (g(u)) with respect to u: g'(u) = 3*u²

Next, find the derivative of the inner function (h(x)) with respect to x:

h'(x) = d/dx(x*cos(x) + 1)

h'(x) = d/dx(x*cos(x)) + d/dx(1)

To find the derivative of x*cos(x), we'll use the Product Rule, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function:

h'(x) = (x * d/dx(cos(x))) + (cos(x) * d/dx(x))

h'(x) = (x * -sin(x)) + (cos(x) * 1)

h'(x) = -x*sin(x) + cos(x)

Now we have the derivatives of the outer and inner functions, so we can apply the Chain Rule:

f'(x) = g'(h(x)) * h'(x)

f'(x) = (3*(x*cos(x) + 1)²) * (-x*sin(x) + cos(x))

This is the derivative of the given function: f'(x) = (3*(x*cos(x) + 1)²) * (-x*sin(x) + cos(x)).

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Answer:

Blank 1 = -1

Blank 2 = 2

Blank 3 = 4

Blank 4 = 7

Blank 5 = 79

Step-by-step explanation:

Blank 1 has an input of 1 we have to square 1

1 squared = 1

Then we subtract 2

1 - 2 = -1

Blank 2 has an input of 2 we have to square 2

2 squared = 4

Then subtract 2

4 - 2 = 2

Blank 3 has an output so we have to do the opposite of what we would for an input

Blank 3 has an output of 14 so we add 2

14 + 2 = 16

then we have to do the square root

The Square root of 16 = 4

So the input was 4

Blank 4 has an output of 47

47 + 2 = 49

The square root of 49 = 7

So the input was 7

Blank 5 has an input of 9

9 squared = 81

81 - 2 = 79

So the output is 79

The limiting value of the sequence will be the same even if a different value is assigned to x0.

The limiting value of the sequence is determined by the recursive equation xn = √(1996x\(n^{-1}\)). As n grows infinitely large, the value of xn will approach the same limiting value regardless of the initial value assigned to x0. This is because the recursive equation will continue to generate values that are closer and closer to the limiting value, regardless of the starting point.

Therefore in recursive equations, the limiting value of the sequence will be the same even if a different value is assigned to x0.

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Answer: | x - 2 | = 8

the correct answer is option a: 10/3, which represents the mean and standard deviation of the scaled scores on the WISC-V.

Scaled scores are used to compare an individual's performance on the WISC-V to the performance of other individuals in the same age group. The scaled scores are derived from raw scores and are standardized to have a mean and standard deviation that are predetermined.The mean of scaled scores on the WISC-V is set to 10. This means that an average performance is represented by a scaled score of 10.

The standard deviation of scaled scores on the WISC-V is set to 3. The standard deviation measures the spread or variability of scores around the mean. A standard deviation of 3 indicates that most scores fall within 3 points above or below the mean of 10.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

x = daughter's age

so:

5x = 6 + 3x

5x - 3x = 6

2x = 6

x = 6/2

x = 3

now just do the equations to find her age

mother before 6 years: 5 x 3

mother after 6 years: 3 x (3+6)

Hopefully, this helps! If it doesn't tell me in the comments so I can explain it better!

Answer:

Daughter: 12

Mom: 36

Step-by-step explanation:

I got it correct, not sure why people keep removing it? It doesn't go against any guidelines?

Step-by-step explanation:

m/n is a rational number if and only if both m and m are integers.

Since 5 and 16 are integers, the fraction 5/16 is rational.

Answer:

The length of each side is 40 cm

Step-by-step explanation:

Divide the base in half

48/2 = 24

Then use the Pythagorean theorem

a^2 + b^2 = c^2 with the 1/2 base and the height as the legs

24^2 + 32^2 = c^2

576+1024 = c^2

1600 = c^2

Take the square root

sqrt(1600) = sqrt(c^2)

40 = c

The length of each side is 40 cm

Answer:

40 cm

Step-by-step explanation:

Side²= (Base/2)²+height²= (48/2)²+32²= 1600

Side= √1600= 40 cm

Answer: c

Step-by-step explanation:

The equation of the line is

\(y+2=\frac{1}{3}(x-1)\\\\y+2=\frac{1}{3}x-\frac{1}{3}\\\\y=\frac{1}{3}x-\frac{7}{3}\)

To determine which point lies on the line, we can substitute in the x coordinate and see if the equation gives the same y-coordinate.

Therefore, the answer is c.

Option D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

The given boxplots show the circulation of the expense obviously materials for nursing majors and non-nursing majors. From the plots, we can reason that the scope of the circulation of the expense obviously materials for nursing majors is like that of non-nursing majors, as the most extreme and least qualities are around at a similar level. We can likewise infer that the most extreme expense for non-nursing majors is more prominent than the middle expense for nursing majors.

Also, the inconstancy of the expense obviously materials for the center half of nursing majors is more noteworthy than the fluctuation of the center half for non-nursing majors, as the cases for nursing majors are more extensive. In any case, we can't reason that the middle expense obviously materials for nursing majors is more than $300 more than the middle expense obviously materials for non-nursing majors, as the medians are not straightforwardly named and their division isn't plainly shown. At last, we can see that the study included 17 nursing majors and 17 non-nursing majors.

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The complete question is:

A college professor conducted a survey in order to assess how much money nursing majors spend on course material compared to all other majors. To do so, she selected a random sample of 34 students. Each student was classified as a nursing major or as a non-nursing major. They were then asked how much they spent on books and other materials required for their courses this semester. Shown above are parallel boxplots summarizing the responses. Based upon the boxplots, which of the following statements cannot be concluded?

A. The range of the distribution of the cost of course materials for nursing majors is about the same as that of non-nursing majors.

B. The maximum cost for non-nursing majors is greater than the median cost for nursing majors.

C. The variability of the cost of course materials for the middle 50% of nursing majors is greater than the variability of the middle 50% for non-nursing majors.

D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

E. The boxplots reveal that 17 students are nursing majors and 17 students are non-nursing majors

Answer: $713.7

Step-by-step explanation:

First, multiply the original price by the percentage ( In this case, 549 x .30)

Now your sum is $164.7 Add that to the original price and you get your answer.

Answer as an improper fraction:    248/3

Answer as a mixed number:    82  2/3

==========================================================

Work Shown:

b1 and b2 are the parallel bases

b1 = 10

b2 = 6

h = height

h = 10 & 1/3 = 10 + 1/3 = 30/3 + 1/3 = 31/3

\(A = \text{area of the trapezoid}\\\\A = h*\frac{b_1+b_2}{2}\\\\A = \frac{31}{3}*\frac{10+6}{2}\\\\A = \frac{31}{3}*\frac{16}{2}\\\\A = \frac{31*16}{3*2}\\\\A = \frac{31*8}{3}\\\\A = \frac{248}{3}\\\\\)

The area as an improper fraction is 248/3 square miles.

-------------

If you wanted, follow these steps to convert the improper fraction to a mixed number

248/3 = 82.667 approximately

The whole part is 82 as it's to the left of the decimal point.

The fractional part 0.667 multiplies with the denominator 3 to get 3*0.667 = 2.001 which rounds to 2.

Therefore,

248/3 = 82 & 2/3 or 82  2/3

We have 82 full square miles, plus an additional 2/3 of a square mile, to constitute the area of the trapezoid.

The inequality can be used to determine the number is 0.4x > x/2 - 15

The term inequality means the unequal relationship between the two or more expressions.

Here we have given that Forty percent of a number is greater than one-half the number decreased by 15.

And we need to find the number that is used to determine the inequality.

While we looking into the given question, let us consider x be that unknown  number.

Then based on the given statement, we have divide it into two parts.

First, forty percent of the number and it can be written as 40%x or 0.4x.

Next is one-half the number is 1/2 x or x/2

When we combine the whole statement,

Then we get the inequality,

=> 0.4x > x/2 - 15

Therefore option (c) is correct.

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The Linda will need to use 4 bricks to surround her yard.

To find the number of bricks Linda needs, we need to find the total length of the perimeter of the yard and then divide that by the length of each brick.

The perimeter of the yard is equal to 2 times the sum of the length and width:

2(15 + 11) = 2 x 26 = 52 meters.

52 meters / 15 meters/brick = 3.46 brick

Therefore, Linda needs 3.46 brick (rounded up to 4 bricks).

Perimeter refers to the total length of the boundary of a two-dimensional shape. It is a measure of how long the edge of a shape is. Perimeter is a crucial concept in geometry and is widely used in mathematical and real-life applications. The formula for perimeter varies based on the shape of the object. For a rectangle, the perimeter is found by adding the lengths of all four sides, while for a circle, it is calculated using the formula 2πr, where r is the radius. The perimeter of a triangle can be calculated by adding the lengths of all three sides.

Perimeter is used in various fields, including architecture, construction, engineering, and landscaping. In architecture, perimeter is used to calculate the amount of material required to build the walls of a building. In construction, perimeter is used to determine the length of fencing required to enclose a site. In engineering, perimeter is used to calculate the length of the road required to construct a highway. In landscaping, perimeter is used to determine the amount of material required to build a retaining wall.

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Complete Question: -

Linda is putting brick around her yard, which is 15 meters by 11 meters. Each brick is 15 meter long. How many brick does he need?

Answer:

1ans) 6/14 or 3/7 probability

2ans) 1/2 or a 50% chance

Answer:

Step-by-step explanation:

8.180

9.34.44

10. 885.6

None of the provided options (A, B, C, D) accurately represents the expected difference.

To determine the expected difference in the number of dented cans between soups and vegetables, we need to compare the proportions of dented cans in each category.

If we assume that the proportions of dented cans in soups and vegetables are the same, then we can estimate the difference based on the proportions alone.

Let's say that the proportion of dented cans in both soups and vegetables is 10%.

In 2,500 cans of soups, the expected number of dented cans would be 10% of 2,500, which is 250.

Similarly, in 2,500 cans of vegetables, the expected number of dented cans would also be 10% of 2,500, which is 250.

The difference between the expected number of dented cans in soups and vegetables would be:

250 (soups) - 250 (vegetables) = 0

Based on the assumption of equal proportions, the expected difference in the number of dented cans between soups and vegetables would be zero.

Therefore, none of the provided options (A, B, C, D) accurately represents the expected difference.

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(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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Given:

The equation is:

\(\sqrt{x+7}+5=x\)

To find:

Whether \(x=2\) and \(x=9\) both are solutions or one/both of them extraneous solutions.

Solution:

We have,

\(\sqrt{x+7}+5=x\)

Subtract 5 from both sides.

\(\sqrt{x+7}=x-5\)

Taking square on both sides, we get

\(x+7=(x-5)^2\)

\(x+7=x^2-10x+25\)

\(0=x^2-10x+25-x-7\)

\(0=x^2-11x+18\)

Splitting the middle term, we get

\(x^2-2x-9x+18=0\)

\(x(x-2)-9(x-2)=0\)

\((x-2)(x-9)=0\)

\(x=2,9\)

Now, substitute \(x=2\) in the given equation.

\(\sqrt{2+7}+5=2\)

\(\sqrt{9}+5=2\)

\(3+5=2\)

\(8=2\)

This statement is false because \(8\neq 2\). So, 2 is an extraneous solution.

Substitute \(x=9\) in the given equation.

\(\sqrt{9+7}+5=9\)

\(\sqrt{16}+5=9\)

\(4+5=9\)

\(9=9\)

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

Answer:

dude my brain cells are perishing

-2/3 is your answer my guy

have fun

Step-by-step explanation:

Answer:

A. y = (x + 3)^ 2 - 1

Step-by-step explanation:

To represent the transformation of a horizontal shift left 3 and a vertical shift down 1 applied to the function y = x^2, you can use the following equation:

y = (x + 3)^2 - 1

In this equation, the term (x + 3) represents the horizontal shift left 3, and the term -1 represents the vertical shift down 1. The squared term remains the same as in the original function, y = x^2.

The decimal equivalent of the binary number 01101111 is (111)₁₀

Decimal:

In math, decimal refers the number that consists of a whole and a fractional part.

Given,

Here we need to find the decimal equivalent of the binary number 01101111

In order to solve this one, then we have to follow the following steps:

Here we have to perform a multiplication operation on each digit of a binary number from right to left with powers of 2 starting from 0 and add each result to get the decimal number of it.

Then the given number is rewritten as,

=> 01101111 =  (0 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰)

When we simplify this one then we get,

=> 64 + 32 + 8 + 4 + 2 + 1

=> (111)₁₀

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