Suppose you play a game that you can only either win or lose. The probability that you win any game is 55%, and the probability that you lose is 45%. Each game you play is independent. If you play the game 20 times, write the function that describes the probability that you win 15 of the 20 times X- * (lowercase) = The probability of a success is p = The probability of a failure is g = The number of trials is n = The probability question can be stated mathematically as I Chapter 4 Math 1342 The outcomes of a binomial distribution experiment fit a binomial probability distribution. In a binomial distribution we can find the following: The random variable . The mean wis given by • The variance, 0%, is given by • The standard deviation, O, is given by Page 2 of 5 1 of 962 words TX

cp of 40 l of milk=6.50*40=260

sp of 56 l of mixture=56*7=392

392-260=132

gain%=132/260*100=50.76%

Answer:

Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price

Step-by-step explanation:

:>

You would pay a total of R1,080,000 over 20 years for your R450,000 home loan if your monthly repayment remains at R4,500.

To calculate the total amount paid over 20 years for a home loan of R450,000 with a fixed monthly repayment of R4,500, we need to consider the interest accumulated over the loan term.

First, let's calculate the total number of months in 20 years:

Number of months = 20 years * 12 months/year = 240 months

Next, we can calculate the total amount paid by multiplying the monthly repayment by the number of months:

Total amount paid = Monthly repayment * Number of months

Total amount paid = R4,500 * 240

Total amount paid = R1,080,000

Therefore, you would pay a total of R1,080,000 over 20 years for your R450,000 home loan if your monthly repayment remains at R4,500.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

2 min

Step-by-step explanation:

18/

Answer:

$75

Step-by-step explanation:

20 - 14 = 6

6 students would pay in the second week

6 x $12.50 = $75

The teacher would collect $75 in the second week

Answer:

His annual earnings is $131,562.50

Step-by-step explanation:

Here, we want to calculate Dirk’s total annual earnings.

We have three things to add together;

Annual earnings, commission and fees

Annual earnings is already stated = $41,000

Commission

= 3.5% of $2.4 million

= 3.5/100 * 2,400,000 = $84,000

Fees

= $5.25 * 1,250 = $6562.50

Total earnings will be;

41,000 + 6562.5 + 84,000 = $131,562.50

Answer

you get $131,562.50

Step-by-step explanation:

The OLS estimator is derived by minimizing the sum of squared residuals.

Therefore the answer is d) minimizing the sum of squared residuals.

The OLS (ordinary least squares) estimator is a statistical method used to estimate the parameters of a linear regression model. In a linear regression model, a dependent variable is modeled as a linear function of one or more independent variables, with the parameters of the model representing the intercept and slopes of the linear relationship.

The OLS estimator is derived by minimizing the sum of squared residuals, which measures the difference between the actual and predicted values of the dependent variable in the model. Specifically, the OLS estimator seeks to find the slope and intercept that minimize the sum of the squared vertical distances between each data point and the regression line.

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--The question is incomplete, answering to the question below--

"The OLS estimator is derived by :

a. connecting the Yi corresponding to the lowest Xi observation with the Yi corresponding to the highest Xi observation.

b. making sure that the standard error of the regression equals the standard error of the slope estimator.

c. minimizing the sum of absolute residuals.

d. minimizing the sum of squared residuals."

On solving the equations by elimination method, the value of x is 4 and y is -8.

'The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.'

According to the given problem,

Given equations = 2x - 2y =  24   (1)

                               4x + 7y = -40  (2)

Now, Multiplying equation (1) with 2,

⇒ 2( 2x - 2y ) = 2 × 24

⇒ 4x - 4y = 48  (3)

Now subtracting Equation (3) from equation (1),

⇒  4x + 7y - (4x - 4y) = -40 - 48

⇒ 4x + 7y - 4x + 4y = -88

⇒ 11y = -88

⇒ y = -8

Now, putting value of y in equation (1),

⇒ 2x - 2(-8) =  24

⇒ 2x + 16 = 24

⇒ 2x = 24 - 16

⇒ 2x = 8

⇒ x = 4

Hence, we can conclude the value of x = 4 and y = -11 by elimination method.

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Answer:

\(t=75\)

Step-by-step explanation:

Given

\(\frac{1}{5} t+2-2=17-2\)

Lets solve for \(t\).

Subtract 2 from 2.

\(\frac{1}{5} t=17-2\)

Subtract 2 from 17.

\(\frac{1}{5} t=15\)

Combine \(\frac{1}{5}\) and \(t\).

\(\frac{t}{5} =15\)

Multiply both sides of the equation by 5.

\(\frac{t}{5}*5 =15*5\)

\(t=75\)

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.

Molly sold one fourth of her comic books on Friday, which means she sold 1/4 of the number of comic books she had at the time. We don't know how many comic books Molly had on Friday, but we can use the information given to solve for it.

On Tuesday, Molly bought 12 comic books and now has 39 comic books. This means she bought 12 + 39 = 51 comic books.

To find out how many comic books Molly started with, we need to subtract the number of comic books she sold and the number of comic books she bought from the total number of comic books she had.

Molly started with a total of 51 comic books. She sold 1/4 of them on Friday, which means she sold 1/4 x 51 = 12.5 comic books. She bought 51 - 12.5 = 38.5 comic books on Tuesday.

Therefore, Molly started with 51 comic books.

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Answer:

-0.6 yards

Step-by-step explanation:

The correct answer is: The lines are skew.

To determine if the lines are distinct parallel lines, skew, or the same line, we can examine their direction vectors.

Let's denote the first line as L1 and the second line as L2. We'll start by finding the direction vectors of L1 and L2.

For L1, the direction vector is given by ⟨3, 5, -3⟩.

For L2, the direction vector is given by ⟨11, -6, 2⟩.

Now, let's compare the direction vectors to determine the relationship between the lines.

If the direction vectors are scalar multiples of each other, then the lines are parallel.

If the direction vectors are not scalar multiples of each other and not orthogonal (perpendicular), then the lines are skew.

If the direction vectors are orthogonal (perpendicular) to each other, then the lines are the same line.

To check if the direction vectors are scalar multiples, we can calculate their cross-product and check if it equals the zero vector.

The cross product of ⟨3, 5, -3⟩ and ⟨11, -6, 2⟩ is:

=(5 * 2 - (-3) * (-6))i - (3 * 2 - (-3) * 11)j + (3 * (-6) - 5 * 11)k

= (10 - 18)i - (6 - 33)j + (-18 - 55)k

= -8i - 27j - 73k

Since the cross product is not equal to the zero vector, the lines are not parallel.

Since the direction vectors are not scalar multiples and not orthogonal, the lines are skew.

Therefore, the correct answer is: The lines are skew.

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Step-by-step explanation:

y = 6x

..................

David baked a total of 540 cakes, which included ginger cake, banana cake.To obtain quantities of each type of cake, we would need additional information, such as the proportion or ratio of each cake type is required.

The question states that David baked 540 cakes in total. However, it does not provide information about the distribution or quantities of each type of cake (ginger cake, banana cake, orange cake, and fruit cake). Therefore, we cannot determine the number of cakes baked for each type based on the given information alone.

To obtain the quantities of each type of cake, we would need additional information, such as the proportion or ratio of each cake type or specific numbers assigned to each category. Without this information, we can only conclude that David baked a total of 540 cakes without knowing the breakdown by cake type.

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Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

The graph is in the attached image.

Answer:

everything but 4 and 31!

Step-by-step explanation:

24: 9+9+1+1+1+3

29: 9+5+5+1+1+3

56: 9×6

Answer:

Option (A) and Option (E)

Step-by-step explanation:

Length of a segment between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Length = \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

Length of the segment between J(-8, 1) and K(-5, 5) will be,

JK = \(\sqrt{(-8+5)^2+(1-5)^2}\)

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

JK = 5 units

Length of segment between the points P(2, 8) and Q(7, 3) will be,

PQ = \(\sqrt{(2-7)^2+(8-3)^2}\)

PQ = \(\sqrt{25+25}\)

PQ = \(5\sqrt{2}\) units

Length of segment between the points S(-3, -10) and T(3, -2) will be,

ST = \(\sqrt{(-3-3)^2+(-10+2)^2}\)

ST = \(\sqrt{36+64}\)

ST = 10 units

Therefore, Option (A) and Option (E) are the correct options.

Answer:

559/250

Step-by-step explanation:

Answer:

223607/100000

Step-by-step explanation:

I'm not sure if this is what you wanted, but 2.23607 is 223607/100000 as a fraction because the decimal is in the 100,000th place. It can't be simplified any more, but if you were to round it would be 559/250. Hope this helps you!

Answer:5834.36 You're welcome

Answer:5834.36

Step-by-step explanation:

According to Dr. Rick Malone, the best source of data for making inferences as to how dangerous persons of interest actually are may be a combination of various sources. These sources could include the person's criminal history, mental health records, and other indicators such as previous acts of violence or threats made towards others.

It is important to gather as much information as possible before making any conclusions about an individual's level of danger.
In addition to these sources, Dr. Malone also emphasizes the importance of utilizing technology and artificial intelligence to aid in the assessment process. This could involve using algorithms to analyze social media activity or other online behavior that may be indicative of potential danger.
It is crucial to approach the process of assessing an individual's level of danger with caution and to recognize that no single factor should be used to make a definitive determination. Rather, a comprehensive approach that takes into account a multitude of factors is necessary in order to accurately assess the potential risk posed by a person of interest. By utilizing a combination of sources and incorporating technological advancements, it is possible to gather a more complete picture of an individual's behavior and make informed decisions about how best to manage any potential threats.

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Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x. To find the eigenvalues and eigenvectors of matrix A,.

We start by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. This gives us:

|1-λ 4 1 2 |

| 0 2-λ 2 1 |

| 1 2 2-λ 1 |

| 2 1 1 2-λ| = 0

Expanding along the first row, we get:

(1-λ) [ (2-λ)(2-λ) - 1 ] - 4[ 2(2-λ) - 1 ] + 1[ 1(1-λ) - 2 ] - 2[ 2(1-λ) - 2 ] = 0

Simplifying and rearranging, we get:

λ^4 - 7λ^3 + 16λ^2 - 14λ = 0

Factoring out λ, we get:

λ(λ-2)(λ-4)(λ-1) = 0

Therefore, the eigenvalues of matrix A are λ1 = 0, λ2 = 1, λ3 = 2, and λ4 = 4.

Next, we find a basis for each eigenspace by solving the system of equations (A - λI)x = 0 for each eigenvalue.

For λ1 = 0, we have:

|1 4 1 2 | |x1| |0|

|0 2 2 1 | x |x2| = |0|

|1 2 2 1 | |x3| |0|

|2 1 1 2 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 -1 0 | |x1| |0|

|0 1 1/2 0| x |x2| = |0|

|0 0 0 1 | |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x3 = 0 and x4 is free. Setting x4 = 1, we get x1 = x3 = 0 and x2 = -1/2. Therefore, a basis for the eigenspace corresponding to λ1 = 0 is {[-1/2, 0, 1, 0]^T}.

For λ2 = 1, we have:

|0 4 1 2 | |x1| |0|

|0 1 2 1 | x |x2| = |0|

|1 2 1 1 | |x3| |0|

|2 1 1 1 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 0 1/2 | |x1| |0|

|0 1 0 -5/2| x |x2| = |0|

|0 0 1 -1/2| |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x

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Answer: =14/15

Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!

Answer:

Step-by-step explanation:

1/4 (g + 2) = 8

g + 2 = 8 (4)

g = 32 - 2

g = 30

Answer:

We put 7 into x^2 -5 and get (49 -5) and that equals 44, and that's the answer.

Step-by-step explanation:

The first paragraph will be: In the days leading up to the Boston Massacre, people in Boston were very unhappy with British soldiers. As more people protested against unfair actions, more violent conflicts also happened.

The second paragraph is: The night of the Boston Massacre was very cold and scary. British soldiers shot at colonists who did not have any weapons. As a member of the jury, I voted that they were not responsible for the murder. The people's actions were careless, and everyone was scared and confused.

The third paragraph is: John Adams talked about how the mob was being aggressive, which made the soldiers scared. The situation affected the soldiers and they responded to a mean crowd.

The fourth paragraph is: Captain Thomas Preston's story reinforced this, illustrating that the soldiers believed there was a threat that was about to happen. They had to defend themselves because of the chaos happening around them.

The fifth paragraph is: In this difficult trial, taking into account fear, confusion, and protecting oneself, the decision honors the different viewpoints from the past. The Boston Massacre is a sad and serious event that shows how the situation influences what people do and the results that come from it.

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Note:  hypothetical scenario was used.