4 1/6 divided by 10 in simplest form

Answer:

a. 20

b. 30

c. 75

b. 600 / 2000 * 100% (Change it to same unit)

3 / 10 * 100%

30%

You can slove every question by this method.

and dont forget to give me the brainest.

The average rate of inflation over the period from 1980 to 2000 can be calculated by determining the percentage increase in the cost of the market basket of goods. The correct answer is 60%, which represents the percentage increase from $250 to $400.

To calculate the average rate of inflation, we need to determine the percentage increase in the cost of the market basket of goods over the given period.

In 1980, the basket cost $250, and in 2000, it cost $400. To find the percentage increase, we calculate the difference between the final and initial values and divide it by the initial value, then multiply by 100.

Percentage increase = [(Final value - Initial value) / Initial value] * 100

= [(400 - 250) / 250] * 100

= (150 / 250) * 100

= 0.6 * 100

= 60%

Therefore, the average rate of inflation over this period is 60%, indicating that the cost of the market basket of goods increased by 60% from 1980 to 2000.

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Answer:

(-12, -2)

Step-by-step explanation:

Rearrange the equation --> x^2 + 14x + 24 = 0

Split 14x into 12x + 2x --> x^2 + 12x + 2x + 24 = 0

Group --> x(x + 12) + 2(x + 12) = 0, (x + 12)(x + 2) = 0

Find roots:

x + 12 = 0, x = -12

x + 2 = 0, x = -2

The solution of the given expression \(\rm x^{2} +14x = -24\\\) by completing the square method is 12 and  -2.

The given expression is

\(\rm x^{2} +14x = -24\\\)

In completing the square, we take half of the coefficient of the middle term and then square it. Then we add it to both sides of the equation

Here coefficient of middle term x is +14.

So, 14/2 = 7

square of 7 is 49

\(\rm x^{2} +14x +49= -24+49\\\rm (x+7) (x+7)=25\\\rm (x+7)^{2} =5^{2} \\\rm x+7 =5\)

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

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To determine the number of possibilities for the articles of clothing that Peg can choose to pack, we need to consider the different combinations.

Since Peg plans to take 3 shirts and 2 pairs of pants, we will focus on the shirts first. There are 3 shirts in total, so we can break down the possibilities based on the number of long sleeve shirts she chooses to pack.

Case 1: Peg packs 1 long sleeve shirt and 2 short sleeve shirts.

In this case, there are 2 ways to choose the long sleeve shirt (as there are 2 long sleeve shirts available), and 2 ways to choose each of the short sleeve shirts (as there are 2 short sleeve shirts available).

So, for Case 1, there are 2 options for the long sleeve shirt and 2 options for each of the short sleeve shirts. Therefore, the total number of possibilities for Case 1 is 2 * 2 * 2 = 8.

Case 2: Peg packs 2 long sleeve shirts and 1 short sleeve shirt.

Similarly, in this case, there are 2 ways to choose the short sleeve shirt and 2 ways to choose each of the long sleeve shirts.

Thus, for Case 2, there are 2 options for the short sleeve shirt and 2 options for each of the long sleeve shirts. Therefore, the total number of possibilities for Case 2 is 2 * 2 * 2 = 8.

Case 3: Peg packs all 3 long sleeve shirts.

In this case, there is only one option for each shirt since all the shirts are long sleeve shirts.

Therefore, for Case 3, there is 1 option for each of the long sleeve shirts. Hence, the total number of possibilities for Case 3 is 1 * 1 * 1 = 1.

Now, to find the total number of possibilities, we add up the possibilities from each case:

Total number of possibilities = Case 1 + Case 2 + Case 3

Total number of possibilities = 8 + 8 + 1

Total number of possibilities = 17

Therefore, there are 17 possibilities for the articles of clothing Peg can choose to pack, given that she wants at least one long sleeve shirt.\

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Answer:  The first one  is 1. The second one is -25

Step-by-step explanation:

A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

The p-value is used to help determine whether or not the null hypothesis is statistically significant, which is used to make decisions based on sample data. If the p-value is less than or equal to the alpha level, it is considered significant, and the null hypothesis is rejected.

If the p-value is greater than the alpha level, it is not significant, and the null hypothesis is not rejected. Large p-values indicate that there is insufficient evidence to reject the null hypothesis. An alpha level is the probability of making a Type I error, which is the likelihood of rejecting the null hypothesis when it is true. The level of alpha is determined by the researcher and is usually set at 0.05 or 0.01.

For a result to be statistically significant, it means that it is unlikely that the result occurred due to chance. The significance level (alpha level) must be lower than the p-value to consider the result significant.

A 95% confidence interval corresponds to a two-sided hypothesis test at an alpha level of 0.05. A 90% confidence interval corresponds to a one-sided hypothesis test at an alpha level of 0.1.A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

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The volume of the solid is 4,503.22 in³.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes

The volume of a solid with a hollow cylinder can be calculated by subtracting the volume of the inner cylinder from the volume of the outer cylinder.

Assuming the dimensions in the figure are in inches, the outer cylinder has a height of 17 inches and a radius of 9 inches, so its volume is:

\(V_{outer} = \pi * r^2 * h\)

= π × 9² × 17 ≈ 4,842.51 in³

The inner cylinder has a height of 12 inches and a radius of 3 inches, so its volume is:

\(V_{inner} = \pi * r^2 * h\) = π × 3² × 12 ≈ 339.29 in³

To find the volume of the solid, we need to subtract the volume of the inner cylinder from the volume of the outer cylinder:

\(V_{solid }= V_{outer} - V_{inner}\)

≈ 4,842.51 - 339.29 ≈ 4,503.22 in³

Hence, the volume of the solid is 4,503.22 in³.

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If set of data is normally distributed with a mean of 39 and a standard deviation of 8, we can expect 68% of the data to fall within the range of 31 to 47.

For a normal distribution, we can use the Empirical Rule to estimate the percentage of data within a certain range. According to the Empirical Rule, 68% of the data falls within one standard deviation of the mean in either direction.

So, if the mean is 39 and the standard deviation is 8, we can expect 68% of the data to fall within the range of:

(39 - 8) to (39 + 8)

which simplifies to:

31 to 47

Therefore, we can expect 68% of the data to fall within the range of 31 to 47. It's important to note that this only applies to data that is normally distributed, and may not hold true for other types of distributions.

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Answer:

Step-by-step explanation:

One interior angle in a regular triacontagon is 168 degrees

so

180 - 168 = 12°

Answer:

the answer should be B, 1/12 > 0.083

The following formula is used: P(n,r) = n! / (n - r)! to the calculate  the number of permutations.

The formula used to calculate the number of permutations when a permutation is any arrangement of r objects

selected from n possible objects is P(n,r).

P(n,r) is the formula used to calculate the number of permutations.

Let us try to understand the concept of permutations first.

Permutations refer to the different ways of arranging elements.

It is represented as nPr called as n-permute-r.

Here, n represents the total number of elements present, and r represents the number of elements taken for each

permutation.

To calculate the number of permutations, the following formula is used:

P(n,r) = n! / (n - r)!

Where n! is equal to n-factorial that refers to the product of all numbers starting from 1 up to n.

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A∗ is an algorithm that uses a heuristic function f(n) in its search for a solution. The heuristic function f(n) estimates the distance from node n to the goal.

The estimation should be consistent, meaning that the heuristic should never overestimate the distance, and should be admissible, meaning that it should not overestimate the minimum cost to the goal.  

The A∗ heuristic function uses two types of estimates: heuristic function h(n) which estimates the cost of reaching the goal from node n, and the actual cost g(n) of reaching node n. The cost of a path is the sum of the costs of the nodes on that path. Therefore, f(n) = g(n) + h(n).

A∗ is more effective than greedy best-first because it uses a heuristic function that is both admissible and consistent. Greedy best-first, on the other hand, uses a heuristic function that is only admissible. This means that it may overestimate the cost to the goal, which can cause the algorithm to overlook better solutions.

A∗, on the other hand, uses a heuristic function that is both admissible and consistent. This means that it will never overestimate the cost to the goal, and will always find the optimal solution if one exists.Admissible and consistent are two properties that a heuristic function must have for A∗ to return the minimum-cost solution. Admissible means that the heuristic function never overestimates the actual cost of reaching the goal.

This means that h(n) must be less than or equal to the actual cost of reaching the goal from node n. Consistent means that the estimated cost of reaching the goal from node n is always less than or equal to the estimated cost of reaching any of its successors plus the cost of the transition.

Mathematically, this means that h(n) ≤ h(n') + c(n,n'), where c(n,n') is the cost of the transition from node n to its successor node n'.

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The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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Answer:

16

Step-by-step explanation:

4y = 2.6

y = 0.65

20y + 3

= 20 × 0.65 + 3

= 13 + 3

= 16

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In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Answer:

320

Step-by-step explanation:

100,000 ÷ 312.5 = 320

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

Answer:

w/2

Step-by-step explanation:

Calculating half of something is the same as dividing it by 2. In this case, the "something" is w so the answer is w/2.

Answer:

8

Step-by-step explanation:

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

Answer:

=n+8+n+−12

=(n+n)+(8+−12)

=2n+−4

Answer:

=2n−4

= 2(n-2)

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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Answer:

HOPE THIS HELPS

Step-by-step explanation:

You need to first plot the points on the graph.

Since, it says you need to reflect across x axis, you need same number of square units.

For example, P has the coordinates( -2,3 ). -2 lies on the x axis, so the point doesn't go neither left nor right. It is 3 squares above the x axis, so the reflected point should be 3 squares below the x axis. Likewise, you can do the other points.

Hope it helps :)

Answer:

i don't know I just like my personality

To find the means, variances, covariance, and correlation coefficient of random variables X and Y with a joint PMF:

- Calculate the means: E[X] and E[Y].

- Compute the variances: Var(X) and Var(Y).

- Find the covariance: Cov(X, Y).

- Determine the correlation coefficient: ρ(X, Y).

Based on the covariance, we can determine if X and Y are independent or dependent.

Let the random variables X and Y have a joint probability mass function (PMF). We need to find the means (expected values), variances, covariance, and correlation coefficient of X and Y, and determine whether they are independent or dependent.

The mean of a random variable X is denoted by E[X] or μX, and it is calculated as the sum of all possible values of X weighted by their respective probabilities. Similarly, the variance of X, denoted by Var(X) or σ²X, measures the spread or dispersion of the values of X around its mean.

The covariance between two random variables X and Y, denoted by Cov(X, Y), measures the degree to which they vary together. It is calculated as the sum of the products of the differences of the values of X and its mean, and the differences of the values of Y and its mean, weighted by their joint probabilities.

The correlation coefficient between X and Y, denoted by ρ(X, Y), quantifies the strength and direction of the linear relationship between them. It is calculated by dividing the covariance of X and Y by the product of their standard deviations.

To determine the means and variances, we can use the following formulas:

E[X] = ∑x∑y x * P(X = x, Y = y)

E[Y] = ∑x∑y y * P(X = x, Y = y)

Var(X) = E[X²] - (E[X])²

Var(Y) = E[Y²] - (E[Y])²

To calculate the covariance, we use the formula:

Cov(X, Y) = E[XY] - E[X]E[Y]

Once we have the means and variances, we can calculate the correlation coefficient using the formula:

ρ(X, Y) = Cov(X, Y) / (√Var(X) * √Var(Y))

Based on the calculations of means, variances, covariance, and correlation coefficient, we can determine whether X and Y are independent or dependent. If the covariance is zero (Cov(X, Y) = 0), then X and Y are independent. Otherwise, they are dependent.

In summary, to find the means, variances, covariance, and correlation coefficient of X and Y, we use the formulas mentioned above. Based on the calculated values, we can determine whether X and Y are independent or dependent.

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Answer:

Step-by-step explanation:

If the product of two rational numbers is 4/25, we can write the equation:

(x) * (-6/5) = 4/25

where x is the other number.

Expanding the equation:

x * -6/5 = 4/25

Multiplying both sides by 5 to get rid of the fraction on the right-hand side:

5 * x * -6/5 = 5 * 4/25

x * -6 = 4

Dividing both sides by -6:

x = -4/-6

x = 4/6

So, the other number is 4/6.

Answer:

So the other number is -\(\frac{4}{3}\).

Step-by-step explanation:

Let x be the number.

We know,

(-\(\frac{6}{5}\)) × x = \(\frac{4}{25}\)

-\(\frac{6}{5}\) × x =  \(\frac{4}{25}\)          (By expanding the left side of the equation)

Dividing both sides by -\(\frac{6}{5}\)

x = - \(\frac{4}{25}\)  × -\(\frac{6}{5}\)

After simplifying the equation ,

x = -\(\frac{4}{3}\)

So the number is -\(\frac{4}{3}\).