Find the value of b.

Answer:

x=2

Step-by-step explanation:

Answer:

Mode: 20

Mean: 17.5

Median: 19.5

Step-by-step explanation:

Mode: Most common one : 20

Mean: 19+25+23+20+9+20+15+10+5+16+25+20+24+12+20=263

263/15= 17.5

Median: 5, 9, 10,12,15,16,19,20,20,20,23,24,25,25. The middle ones arer 19 and 20. the middle of 19 and 20 = 19.5

Hope this helps! Have a nice day!

Answer:

Step-by-step explanation:

The slope of the line y = (x/4) - 23/4 is 1/4.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The points,

x → y

-4 → -3

1   →  -2

6 →   -1

11  →   0

From the table, we interpreted 2 points (-4, -3) and (11, 0)

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0+3) / (11+4)

m = 1/5

So, the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁)  (x - x₁)

y - y₁ =m (x - x₁)

y +3 = (1/4) (x -11)

y = (x / 4) - 11/4 -3

y = (x/4) - 23/4

Therefore, the slope of the line is m = 1/5.

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Answer:

B

Step-by-step explanation:

If 3 times the people attended the 2nd meeting then you would do

3 x p = 51

3 x 17 = 51

Answer:

C

Step-by-step explanation:

now give me roubox

Jk, have a nice day!

Answer:

Step-by-step explanation:

12

The determinant of 3A equals 81.

Let us calculate the determinant of A¹B:

det(A¹B) = det(A) x det(B) [Property of determinants]

We know that det(B) = 9, so we can rewrite the above equation as:

det(A¹B) = det(A) x 9

Given that det(A¹B) = 15, we can substitute it in the above equation and solve for det(A):

15 = det(A) x 9

det(A) = 15/9

det(A) = 5/3

Now, we need to find det(3A). Using the following property of determinants,

det(kA) = \(k^n\) x det(A)

where A is a square matrix of order n and k is a scalar, we can write:

det(3A) =\(3^3\) x det(A) [since A is a 3 x 3 matrix]

Substituting the value of det(A) that we found earlier, we get:

det(3A) =\(3^3\) x 5/3

det(3A) = 27 x 5/3

det(3A) = 45

Therefore, the determinant of 3A equals 45.

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Answer:

x=6

Step-by-step explanation:

Combine the equations and make them equal 180 because they make a linear angle. Simplify and solve. Good luck! 23×+3+6x+3=180

These two angles are supplementary. Since lines V and W are parallel, if we look at the corresponding angles for each given expression, we can see that they are congruent.

23x + 3 + 6x + 3 = 180

29x + 6 = 180

29x = 174

x = 6

Hope this helps!! :)

Answer:

SAS

Step-by-step explanation:

SEE ATTACH FOR MATH WORK.

(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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The two curves are:y = x2 - 2xy = 0. We can begin by determining where the two curves intersect.

In order to determine the x value at the intersection, we will set the two equations equal to each other:

x2 - 2x = 0

x(x - 2) = 0

x = 0 or x = 2

The area between the curves is given by the following formula:

\($$\int_{a}^{b}f(x)dx - \int_{a}^{b}g(x)dx$$\) where f(x) is the upper function and g(x) is the lower function. In this instance, we will use the following values:

a = 0 b = 2 f(x) = x2 - 2x g(x) = 0

We can solve this integral in two parts:

\($$\int_{0}^{2}(x^2 - 2x)dx - \int_{0}^{2}0 \, dx$$$$\int_{0}^{2}x^2dx - \int_{0}^{2}2xdx$$$$\frac{x^3}{3}\bigg\vert_{0}^{2} - 2\cdot\frac{x^2}{2}\bigg\vert_{0}^{2}$$$$\frac{8}{3} - 4$$$$= \frac{-4}{3}$$\)

The area between the two curves is equal to -4/3.

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Answer:

fraction- 1/4

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{6 \: \% \: }}}}}\)

Step-by-step explanation:

Given

Principal ( P ) = N 245

Interest ( I ) = N 117.60

Time ( T ) = 8 years

Rate = ?

Finding the rate percent :

\( \boxed{ \sf{rate = \frac{interest \: \times 100}{principal \times time} }}\)

plug the values

⇒\( \sf{ \frac{117.60 \times 100}{245 \times 8} }\)

Calculate

⇒\( \sf{ \frac{11760}{1960} }\)

⇒\( \sf{6 \: \%}\)

Hope I helped!

Best regards!!

Answer:

D

Step-by-step explanation:

D because i perfect that

Based on the given information that Caruso, Inc. has an inventory turnover rate of 8 times and a cost of goods sold of $150,000, the company average inventory can be calculated.

To calculate the average inventory, we can use the formula: Average Inventory = Cost of Goods Sold / Inventory Turnover Rate.

Plugging in the values, we have: Average Inventory = $150,000 / 8 = $18,750. Therefore, option c. The company's average inventory is $18,750 is the correct answer.

The inventory turnover rate measures how quickly a company sells its inventory during a specific period. In this case, the turnover rate of 8 times indicates that Caruso, Inc. sells its entire inventory 8 times per year. This suggests that the company has an efficient inventory management system and a relatively high sales volume compared to its inventory level. However, the other options provided (a, b, d) are not supported by the given information and are not accurate in this context.

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a) The present value of the future profit stream:  (1 - δ(n - 1/n))S/nδ ≥ (1 - 1/n) ≡ δpre.

b) The collusive agreement : δ ≥ ⁿ ⁻ ᵏ/ⁿ ⁻ ᵏ ⁺ ¹ ≡ δᵖᵒˢᵗ

c)The authority should reject the merger proposal because it is not profitable.

a) δ is the probability that an opponent will choose punishment, and so it is also the probability that a player is replaced.

After a defection, the number of players decreases by one, which means that the probability of being replaced is n - 1/n, where n is the number of players at the outset.

The probability of a player being replaced after defection is

δ(n - 1/n).

The number of periods that follow the punishment phase is infinite, so the present value of the future profit stream that the deviating player will obtain after being punished is

(1 - δ(n - 1/n))S/nδ ≥ (1 - 1/n) ≡ δpre

The inequality is because if all firms follow the collusive agreement, each firm will get a profit of S/n, and the discount factor is δ.

b) Now, let k firms merge (with 2 ≤ k < n), show that collusion (at price pᵐ = 1), is sustainable if and only if δ ≥ ⁿ ⁻ ᵏ/ⁿ ⁻ ᵏ ⁺ ¹ ≡ δᵖᵒˢᵗ.

The new merged firm controls a fraction of k/n of the market.

Therefore, the other n - k firms share the remaining (n - k)/n fraction of the market equally. Hence, the profit of the new firm is k(1 - k/n), while the profit of the other firms is

(n - k)/n (1 - k/n).

The total profit is

S = k(1 - k/n) + (n - k)/n (1 - k/n) = (1 - k/n).

If the other firms follow the grim-trigger strategies, the profit of the deviating firm is

(n - k)/n δ(S/n) = (n - k)/n δ(1 - k/n).

The collusive agreement will be sustainable if the following inequality holds:

δ ≥ ⁿ ⁻ ᵏ/ⁿ ⁻ ᵏ ⁺ ¹ ≡ δᵖᵒˢᵗ

c) The merger is profitable if the profit of the merged firms is greater than the sum of the profits of the separate firms.

The profit of the merged firm with three firms is

S = 3(1 - 3/6) + (3)/6(1 - 3/6)

= 1.5.

The profit of the unmerged firms is

S = 3(1 - 1/6)

= 2.5.

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Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

Answer:

yes, because the line passes through the balance point and is close to most of the data points

Step-by-step explanation:

The line shown on the scatter plot is not a good line of fit because the data does not have a linear association.

The data points are scattered randomly around the line, and there is no clear trend. A good line of fit would pass through most of the data points and would show a clear trend.

The best explanation for why the line is not a good line of fit is:

No, because the data does not have a linear association.

The other options are not correct because:

The line does not pass through the data point (1, 30).

The line does not pass through the balance point.

The line does not pass through two of the data points.

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Answer:

760 m

Step-by-step explanation:

You can draw a right triangle.

For the angle of 70°, 276 m is the adjacent side.

The heigh of the building above 1.66 m is the opposite side.

tan x = opp/adj

tan 70° = h/276

h = tan 70° × 276

h = 758.3

h is the height above 1.66 m.

height = 758.3 m + 1.66 m = 759.96 m

Answer: 760 m

The total possible ways is 810, it means Evie can make total 810 different outfits.

Important information:

Number of ways to select a shirt = 9

Number of ways to select a pant = 5

Number of ways to select a belt = 3

Number of ways to select a pair of shoes = 6

The total number of different outfits is:

\(9\times 5\times 3\times 6=810\)

Therefore, Evie can make total 810 different outfits.

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Answer: a) 25 cups        b) \(16\frac{1}{4}\) cups       c) 16 Tbsp

Step-by-step explanation:

Set up the proportion:      \(\dfrac{8\ Tbsp\ \text{honey}}{10\ cups\ \text{flour}}\quad \rightarrow \quad \dfrac{4\ Tbsp\ \text{honey}}{5\ cups\ \text{flour}}\)

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{20\ Tbsp}{x}\)

Cross Multiply:        4x = 20(5)

Simplify:                   4x = 100

Divide by 4:               x = 25

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{13\ Tbsp}{x}\)

Cross Multiply:        4x = 13(5)

Simplify:                   4x = 65

Divide by 4:               x = 16.25      →    \(16 \frac{1}{4}\)

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{x}{20\ cups}\)

Cross Multiply:        4(20) = 5x

Simplify:                    80 = 5x

Divide by 5:               16 = x

Provided that the bakery uses the same ratio of honey to flour; the answer to the questions are;

According to the question; the bakery uses the same ratio of honey to flour.

The premises of the ratio is;

8 tablespoons of honey for every 10 cups of flour.

Therefore,

tablespoons of honey/cups of flour = 8/10 = 4/5

Question 1;

4/5 = 20 tablespoons of honey/x cups of flour

By Cross-product;

x = (20 × 5)/4

x = 25 cups of flour.

Question 2:

4/5 = 13 tablespoons of honey/x cups of flour

By cross product;

x = (13 × 5)/4

x = 16.25 cups of flour

Question 3:

4/5 = x tablespoons of honey/20 cups of flour

By cross product;

x = (4 × 20)/5

x = 16 tablespoons of honey.

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The marked price of the television is Rs. 20,000.

The market price is the current price at which a good or service can be purchased or sold.

Here, let the marked price of the television be Rs. x

          Discount = 16% on MP

          VAT = 13% additional on MP

          Total paid amount = Rs. 18984

Now, according to question;

     MP X (1 - Discount) X (1 + VAT) = 18984

              x (1 - 0.16)(1+0.13) = 18984

              x = 18984/(0.84 X 1.13)

              x = 18984 / 0.9492

              x = 20,000

Thus, the marked price of the television is Rs. 20,000.

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The company conducted a hypothesis test to compare the performance of employees in Hyderabad and Bengaluru. The test resulted in rejecting the null hypothesis, indicating a performance difference.

The question mentions that the company is interested in determining if the performance of the employees in Hyderabad is different from the performance of the employees in the Bengaluru center. The null and alternative hypotheses are

H0: The performance of the employees in Hyderabad is the same as the performance of the employees in the Bengaluru center

H1: The performance of the employees in Hyderabad is different from the performance of the employees in the Bengaluru centerThe test statistic for this hypothesis test is the z-score, and the formula for calculating the z-score is: z = (x1 – x2) / SE, where x1 and x2 are the means of the two samples, and SE is the standard error of the difference between the means.

The formula for calculating the standard error of the difference between the means is: \(SE = \sqrt(s1^2 / n1) + (s2^2 / n2)\), where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes. The p-value for this hypothesis test is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true.

We can use a two-tailed z-test to calculate the p-value. The critical value of the z-score for a two-tailed test at a 5% level of significance is ±1.96. If the absolute value of the z-score is greater than 1.96, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis. To calculate the z-score, we first need to calculate the standard error of the difference between the means: \(SE = \sqrt (20^2 / 30) + (30^2 / 30)\) = sqrt [ 400/30 + 900/30 ] = sqrt [ 1300/30 ] ≈ 6.77. Next, we can calculate the z-score as follows:z = (750 – 780) / 6.77 ≈ -4.43. The p-value for a two-tailed z-test with a z-score of -4.43 is less than 0.0001.

Therefore, we can reject the null hypothesis and conclude that the performance of the employees in Hyderabad is different from the performance of the employees in the Bengaluru center.
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Answer:

5 im pretty sure

Step-by-step explanation:

if im right, can you mark me brainliest?

Answer:

we are going to times the sides by four

The steps for  locating an external cause code in order, with the first step on top are given below.

The steps are as follows

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