The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. (a) The mean is (Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) The standard deviation is. (Round to two decimal places as needed.) (b) Interpret the results. Select all that apply. A. The typical rating deviates from the mean by about 4. B. The average rating for the book is approximately 1. C. The typical rating deviates from the mean by about 1. D. The average rating for the book is approximately 4. The higram shows the reviewer ratings on a scale from t dowest) to 5 (highest) of a recently pubished book Find the mean variance and standard deviation of the probably on dargret the rest The meani (Type an integer or a decimal. Do not found) Round to two deomal places as needed) The standard deviation is (Round to two decimal places as needed) ) interpret the results Select at that apply A The typical rating deviates tom the mean by about & The average rating for the book is approximately 1 C. The typical rating deviates from the mean by about 1, D. The average rating for the book is approximately 4 Next question 8340 BADIL The histogram shows the reviewer ratings on a scale from 1 Cowest) to 5 thighest) of a recently published book (a) Find the mean, variance, and standard deviation of the probability distribution (b) interpret the results (a) The mean is (Type an integer or a decimal. Do not round) The variance is (Round to twn decimal places as needed) The standard deviation is (Round to two decal places as needed) () interpret the results Select all that apply DA The typical rating deviates from the mean by about 4 a. The average rating for the book is approximately 1 The typical rating deviates from the mean by about 1. D. The average rating for the book is approximately 4 Next question 534 CAN APP

The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

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Answer:

The mother is 56 years old while her son is 8 years old

Step-by-step explanation:

Let x be the age of the mother

Let y be the age of her son

A mother is currently 7 times older than her son

x = 7y  -------equation 1

In 4 years time, she will be 5 times older than her son

In 4 years, their ages will be

x + 4 ------mother

y + 4 ------son

x + 4 = 5(y+4)

x + 4 = 5y + 20    ----equation 2

Substitute equation 1 to equation 2

7y + 4 = 5y + 20

Transpose

7y - 5y = 20 - 4

2y = 16

y = 16/2

y = 8

Substitute y = 8 to equation 1

x = 7y

x= 7(8)

x = 56

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

L = lenght = 4w + 7

W = width

Perimeter = 2L + 2W

74 = 2 (4W + 7 ) + 2 W

74 = 8W + 14 + 2 W

74 = 10W + 14

74-14 = 10W

60 = 10W

60/10 = W

6 = W

L = 4W + 7

L= 4(6) +7

L= 24+7

L= 31

Answer:

Lenght = 31 inches

Width = 6 inches

Answer:

6

Step-by-step explanation:

Answer: 4th option (the one already selected)

Step-by-step explanation: as the X variable changes by 7 the Y variable changes by 1

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

Answer:

y is (0,-2) thats all i know sorry

Step-by-step explanation:

The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The points on the graph are (0, 2) and (- 2, 0).

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;

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

m = - 2/- 2

m = 1

So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 1 (x - 0)

y - 2 = x

y = x + 2

Now, Compare with the equation y = mx + b, we get;

The y - intercept = 2

Thus, The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

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Answer:

answer is 12

12 because 5x12+5 = 65 and 180-115=65 meaning x=65

The total number of oranges present in the bag was 21.

For the stated question.

Let the total number of oranges in the bag be 'x'.

Total stale oranges = 7.

Thus,

Probability (first orange is stale) = Total stale oranges/ Total oranges.

Probability (first orange is stale) = 7/x

Probability (second orange is stale) = 6/(x - 1).

But, probability to pick two stale oranges is 2/21

7/x . 6/(x - 1) = 2/21

On solving,

x ² - x - 441 = 0

x = 21

Thus, the total number of oranges present in the bag was 21.

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In order for the system of equations to be a consistent system, the value of k must be equal to -4.

To determine the value of k that makes the system of equations consistent, we can use the method of elimination or substitution. Let's use the method of elimination.

First, we can multiply the first equation by 5, the second equation by -1, and the third equation by 2 to make the coefficients of x in the three equations cancel each other out when added together.

The modified system of equations becomes:

5x - 10y + 20z = 20

5x - 9y + 22z = 16

-4x + 6y - 20z = 2k

Now, let's subtract the first equation from the second equation:

(5x - 9y + 22z) - (5x - 10y + 20z) = 16 - 20

y + 2z = -4

Next, let's add this equation to the third equation:

(-4x + 6y - 20z) + (y + 2z) = 2k - 4

-4x + 7y - 18z = 2k - 4

For the system of equations to be consistent, there must be no contradictions or inconsistencies. This means that the equations must be linearly dependent, and the last equation must be a multiple of the second equation.

Comparing the last equation (-4x + 7y - 18z = 2k - 4) with the second equation (y + 2z = -4), we can see that the two equations will be dependent and consistent if 2k - 4 is equal to 0.

2k - 4 = 0

2k = 4

k = 2

Therefore, in order for the system of equations to be a consistent system, the value of k must be equal to -4.

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Answer:
The fox is faster, by 7 miles per hour

Step-by-step explanation:

The fox can run 21 miles in half an hour -> It can run 42 miles in an hour

And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)

Answer:

the fox can run faster by 17 mph!

Step by step explanation:

This problem involves ratios

Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)

So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)

But before we start subtracting, we have to take into account the fact that the time periods are not the same!

To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5

In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide

When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.

21x2=42

So our new ratio is 1:42

Now we can directly compare the two ratios.

42-35=17

So the fox ran faster by 17 miles

PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!

Answer:

No, its divisible by 2

Step-by-step explanation:

The two digits differ by 3.

Let's assume that the original two-digit positive integer is represented as "10a + b," where 'a' represents the tens digit and 'b' represents the units digit.

According to the problem, when the digits are reversed, the resulting integer is "10b + a."

The difference between the original integer and the reversed integer is given as 27.

Mathematically, we can express this as:

(10a + b) - (10b + a) = 27.

Simplifying the equation, we get:

9a - 9b = 27,

9(a - b) = 27.

Dividing both sides by 9, we have:

a - b = 3.

Therefore, the difference between the two digits is 3.

To verify, let's consider an example.

If the original two-digit positive integer is 54, reversing the digits gives us 45.

The difference between 54 and 45 is indeed 27, and the difference between the two digits is 5 - 4 = 1, which confirms that the difference is 3.

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Answer:

-36 + 27j

Step-by-step explanation:

−9(4 − 3j)

Distribute

-9 * 4  -9 * (-3j)

-36 + 27j

Answer:

27j - 36.

Step-by-step explanation:

−9(4 − 3j)

= -9 * 4 - 9 * (-3j)

= -36 + 27j

= 27j - 36

Hope this helps!

The reason it is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall.

Sheela is correct. It is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall.

The reason is that the dimensions of the poster are larger than the dimensions of the wall, which means it cannot fit properly.

Let's assume the length and width of the wall are Lw and Ww, respectively, and the length and width of the poster are Lp and Wp, respectively.

Given:

Area of the wall = 64 sq cm

Area of the poster = 48 sq cm

We know that the area of a rectangle is calculated by multiplying its length by its width:

Area of the wall = Lw * Ww

Area of the poster = Lp * Wp

From the given information, we have:

Lw * Ww = 64  ---(Equation 1)

Lp * Wp = 48  ---(Equation 2)

We need to compare the dimensions of the poster (Lp and Wp) with the dimensions of the wall (Lw and Ww).

Let's consider the scenario where the dimensions of the poster are larger than the dimensions of the wall:

Lp > Lw and Wp > Ww

If we substitute these values in Equation 2, we get:

Lw * Ww = 48

Since Lp > Lw and Wp > Ww, the area of the poster (48 sq cm) cannot fit within the area of the wall (64 sq cm).

Therefore, the reason it is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall, is that the dimensions of the poster are larger than the dimensions of the wall, making it impossible to fit the entire poster on the wall.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The new temperature would be 8 when the temperature is -4 and rises by 12.

Addition is a fundamental mathematical operation that is used to join two or more numbers or quantities. It entails calculating the sum of two or more values.

The sign "+" represents the procedure.

For example, adding 2 and 3 yields a total of 5, which is expressed as:

2 + 3 = 5

As per the question, If the temperature starts at -4 and rises by 12, we need to add 12 to the starting temperature to find the new temperature.

So, the new temperature would be:

-4 + 12 = 8

Therefore, the new temperature would be 8.

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Answer:

\(E(x) = 7.86\)

Step-by-step explanation:

Given

Represent the size with n and the probability with p

\(n = 12\)

\(p = 0.655\)

Required

Determine the expected value; E(x)

\(E(x) = np\)

\(E(x) = 12 * 0.655\)

\(E(x) = 7.86\)

Hence, the expected value is 7.86

The expected value is 7.86.

Important information:

We need to find the expected number (expected value) of tests needed for a group of size 12.

The expected value is:

\(E(x)=np(x)\)

Where, n is the batch size and p is the probability.

\(E(x)=12(0.655)\)

\(E(x)=7.86\)

Therefore, the expected value is 7.86.

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The value of a is 0.14, b is 0.2 and c is 0.33.

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Given:

The number a and b lies between 0/4 and 1/4. (0 and 0.25).

We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).

So, the value of a can be 0.14

and, value of b is 0.2.

and, the value of c is 0.33.

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-3/4 is slope of the linear equation 3x+4y=5.

Two or more expressions with an Equal sign is called as Equation.

The standard form for linear equations in two variables is Ax+By=C.

3x+4y=5 is a linear equation in standard form.

4y=5-3x

Divide both sides by 4

y=5/4-3/4x

y=-3/4x+5/4

The slope of the equation is -3/4.

Hence, the  slope of the linear equation is -3/4.

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The complete question is given below:

Find the slope of  linear equation 3x+4y=5?

The Alternating Series Test (AST) is used to determine if a series is convergent or divergent. It assumes that the terms alternate in sign and are monotonically decreasing in magnitude, and if lim_(n)a_n = 0, then the series is convergent. The series is given in the general formula for the AST, and the absolute value of each term is equal to the corresponding term.

The series for convergence or divergence using the alternating series test is given below:

[infinity] (−1)n 2nn n! n = 1

The general formula for the alternating series test is as follows. Assume that a series [a_n]_(n=1)^(∞) is defined such that the terms alternate in sign and are monotonically decreasing in magnitude.

If lim_(n→∞)△a_n = 0, where △a_n denotes the nth term of the series,

then the alternating series [a_n]_(n=1)^(∞) is convergent. We must evaluate if the alternating series is monotonically decreasing and if the absolute value of each term of the series is decreasing as well. If both conditions are met, we may apply the Alternating Series Test (AST). Let's take a look at the given series below:(-1)^n(2^n)/(n!) for n = 1 to infinity The series is given in the general formula for the AST. Because the series is already in the right form, we do not need to test it first.

The terms of the sequence decrease since (n+1)!/(n!) = (n+1), which is a positive number. Furthermore, since (n+1) > n for any natural number n, the sequence decreases monotonically. When we take the absolute value of each term in the series, it is equal to the corresponding term since all terms are positive.

Therefore, the series is convergent according to the Alternating Series Test.

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Answer:

d

Step-by-step explanation:

Answer:

C. 15 cm is the correct option

Step-by-step explanation:

Area of the rectangle:-

Length:-

Height:-

Given the expression:

From the given expression, we will write:

As we can see we have multiplied both sides by 65

So, the property of equality was used is:

Multiplication property of equality

Answer:

perimeter of pentagon is 5s

area of Pentagon is 1/2 P*a

Answer:

the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

Step-by-step explanation:

The computation of the cost of one package of chocolate chip cookie and one package of ginger bread is shown below:

Let us assume the package of chocolate chip cookie be x

And, the package of ginger bread is y

So,

According to the question

6x + 2y = $72

6x + 10y = $216

Now subtract equation 1 from equation 2

-8y = -144

y = $18

And, for x it would be

6x + $36 = $72

x = $6

Hence, the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

Answer:

70 Yards.

Step-by-step explanation:

From Ron to Bill is 30 and from there to John adds 40 which equals 70

I might have done the math wrong, or got the whole thing wrong. Sorry if so.

Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.

Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.

If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.

Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as

(X₁, P₁; X2, P2; ; Xm, Pm),

where Xi and Pi indicate the reward magnitude and probability of each potential outcome.

A decision-maker prefers B ($5000, 1.00) to

A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers

C = ($25000, 0.04; $0, 0.96) to

D = ($5000, 0.05; $0, 0.95).

However, EUT cannot account for these preferences.

The utility of the three alternatives is calculated as follows:

U(B) = $5000

U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000

U(D) = 0.05 × $5000 + 0.95 × $0 = $250

However, the expected utilities of A and B cannot be compared.

These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.

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Answer:

- 1/x^18 y^3

Step-by-step explanation: