Write a in the form a=a+T+aN at the given value of t without finding T and N. r(t) = (-2t+2)+(-3)j + (-)k 1-3 3 (TN (Type exact answers, using radicals as needed.)

Answer:

c bye  have a good day

Step-by-step explanation:

The actual percent of residents who will eat at the restaurant is expected to be closest to 56%.

The sample sizes for the four surveys are 10, 20, 280, and 200. The number of "yes" responses for each survey are 3, 9, 50, and 132, respectively. The percent of responses for each survey are 30%, 45%, 56%, and 66%, respectively.

The average percent of responses for the four surveys is 53%. However, the survey with the largest sample size has a percent of responses of 56%. This suggests that the actual percent of residents who will eat at the restaurant is closer to 56% than 53%.

It is important to note that the actual percent of residents who will eat at the restaurant may be higher or lower than 56%. This is because the surveys are only a sample of the population, and the results may not be representative of the entire population.

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Answer:

4/9

Step-by-step explanation:

So, the ratio of the books is 8:10:6. After 2 books were taken off of each shelf, it became 6:8:4. All of these numbers added up is 18. So that means 8/18 of the books are math books, which can be simplified to 4/9.

Answer:

4/9

Step-by-step explanation:

Answer:

y-3x-2

Step-by-step explanation:

take 2 points (1,1), (3,7)

find the slope: 7-1/3-1=3

plug into y=2x+b (used pt (1,1) )

1=3(1)+b

1=3+b

b=-2

y=3x-2

The rectangular dimensions for the minimum amount of material are x = 46 ft and y = 46 ft.

Mathematical optimization or mathematical programming is the selection of the best element from a set of accessible alternatives based on some criterion. It is divided into two categories: discrete optimization and continuous optimization.

Given that you need to construct a fence around an area of 2116 square feet.

The area of the rectangle is,

A = xy

2116 = xy

y = 2116 / x

The perimeter is calculated by the formula,

P = 2 ( x + y )

Form the minimum length of the perimeter differentiate the perimeter and get the side by equating it with zero.

p = 2(x + 2116 / x )

p' = 2( 1 - ( 2116 / x²) = 0

( 1 - ( 2116 / x²) = 0

x² = 2116

x = √2116 = 46 ft

The value of y will be,

y = 2116 / x

y = 2116 / 46

y = 46 ft

Therefore, the rectangular dimensions for the minimum amount of material are x = 46 ft and y = 46 ft.

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Answer:

22/24

Step-by-step explanation:

The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

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Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

Answer:

8.25y + 14

Step-by-step explanation:

Given the expression

\(4\left(1.75y-3.5\right)+1.25y\)

We are to simplify it as shown

Open the parenthesis

4(1.75y) - 4(3.5) + 1.25y

7y - 14 + 1.25y

Collect the like terms

7y + 1.25y - 14

8.25y + 14

Hence the required expression is 8.25y + 14

Answer:

8.25y−14

Step-by-step explanation:

Use the distributive property to multiply the

4

4start color #ff00af, 4, end color #ff00af into the parentheses.

Hint #22 / 4

4

(

1.75

y

−

3.5

)

+

1.25

y

=4(1.75y−3.5)+1.25yempty space, start color #ff00af, 4, end color #ff00af, left parenthesis, 1, point, 75, y, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y

=

4

⋅

(

1.75

y

)

+

4

⋅

(

−

3.5

)

+

1.25

y

=4⋅(1.75y)+4⋅(−3.5)+1.25yequals, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, 1, point, 75, y, right parenthesis, plus, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y [Explain]

=

7

y

−

14

+

1.25

y

=7y−14+1.25yequals, 7, y, minus, 14, plus, 1, point, 25, y

Hint #33 / 4

=

7

y

−

14

+

1.25

y

=7y−14+1.25yequals, start color #6495ed, 7, end color #6495ed, y, minus, 14, plus, start color #6495ed, 1, point, 25, end color #6495ed, y

=

(

7

+

1.25

)

y

−

14

=(7+1.25)y−14equals, left parenthesis, start color #6495ed, 7, end color #6495ed, plus, start color #6495ed, 1, point, 25, end color #6495ed, right parenthesis, y, minus, 14 [Explain]

=

8.25

y

−

14

=8.25y−14equals, 8, point, 25, y, minus, 14

Hint #44 / 4

The expanded expression is

8.25

y

−

14

8.25y−14

Answer:

128.6

Step-by-step explanation:

I just did the math

Therefore , the solution to  the given problem of probability comes out to be a) The X distribution ( 16, 7)  , b)P =0.1593 c)the probability that this American will receive between 17 and 20 d)P=21.

The probability that an incident will take place is known as probability. This might range from an occurrence being impossible, having a chance, or being 100% guaranteed. Probability in mathematics is range on a scale from 0 to 1. Zero denotes an impossibility, such as when a die is rolled and only the digits from 1 to 6 are present. One is an occurrence of an event that is bound to occur.

Here,

(A) The X distribution ( 16, 7)

b) the likelihood that this American will only get 20

The following details have been given:

μ = 16, σ = 7

We need to compute Pr(17≤ X ≤20). The corresponding z-values needed to be computed are

=> Z1 = X1-μ / σ

=> 17-16/  7 = 0.1429

=> Z2 = X2-μ /  σ

=> 20 -16 / 7

=> 0.5714

Therefore, we get:

=> Pr(17 X 20) = Pr (17-16/7<Z<20-16/7)

= Pr(0.1429Z < 0.5714)

= Pr(Z < 0.5714) - Pr(Z <0.1429) = 0.7161-0.5568 = 0.1593

We need to compute Pr(X < 20). The corresponding z-value needed to be computed:

Z = X-μ/σ

=> 20-16 / 7

= 0.5714

Therefore,

Pr(X≤20) =  Pr Z(20-16/7) = Pr(Z < 0.5714) =

= 0.7161

c)  the probability that this American will receive between 17 and 20

d) 76% of all Americans receive at most how many Christmas cards

For given 76% the z score  = 0.7063

x =  µ + z * σ

 = 16 + 0.7063 * 7

 = 20.944

= 21

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The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

The given sequence is -81, 108, -144, 192.

The formula that can be used to describe the sequence is:  \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.

This formula is a geometric sequence formula that can be used to describe the given sequence.

The formula represents the nth term of the sequence as a function of the position of the term in the sequence.

Here, n represents the position of the term in the sequence

.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).

The second term is 108, which corresponds to the second position in the sequence (n = 2).

The third term is -144, which corresponds to the third position in the sequence (n = 3).

The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).

Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

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The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Given:

cost per sack of crayfish = $62. 50

Delivery fee = $20. 00

y = Total cost

x = sacks of crawfish

The equation:

Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)

y = 20 + 62.50x

Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

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Answer:

-1/6

Step-by-step explanation:

-21/2÷6

-2 x 1/2 x1/6

-2x1/12

-1/6

please mark brainliest

Answer:

C. a 270° rotation about point B'

Step-by-step explanation:

I just got it right.

(a) the required monthly loan payment on the car is approximately $528.23, (b)your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment, (c)it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

(a) The required monthly loan payment on the car can be calculated using the formula for the monthly payment on a loan. Given a car loan of $28,000, financed at an interest rate of 0.50% per month for 60 months, the monthly payment can be determined using the following formula:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Plugging in the values, we have:

Monthly Payment = (28000 * 0.005) / (1 - (1 + 0.005)^(-60))

Calculating this, the required monthly loan payment on the car is approximately $528.23.

(b) After making the 24th monthly payment, your friend still owes a remaining balance on the car loan. To calculate this, we need to determine the remaining balance based on the number of payments made and the original loan amount. We can use the formula:

Remaining Balance = Loan Amount * (1 + Monthly Interest Rate)^Number of Payments - (Monthly Payment * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate)

Plugging in the values, we have:

Remaining Balance = 28000 * (1 + 0.005)^24 - (528.23 * ((1 + 0.005)^24 - 1) / 0.005)

Calculating this, your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment.

(c) If your friend decides to pay $100 more each month after the 24th payment, we can calculate the number of months it will take her to pay off the remaining loan balance. Using the increased monthly payment, we can calculate the new remaining balance and divide it by the increased monthly payment to determine the number of months needed to pay off the loan.

New Remaining Balance = Remaining Balance - (Monthly Payment + Additional Monthly Payment) * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate

Number of Months = New Remaining Balance / (Monthly Payment + Additional Monthly Payment)

Plugging in the values, we have:

New Remaining Balance = 17,833.86 - (528.23 + 100) * ((1 + 0.005)^x - 1) / 0.005

Number of Months = New Remaining Balance / (528.23 + 100)

By solving the equation, it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

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Mathematically, it is defined as I(x;y) = H(y) - H(y|x), where H(y) is the entropy of y and H(y|x) is the conditional entropy of y given x.

First, we calculate H(y), which represents the uncertainty or randomness of variable y. It is computed by summing the probabilities of each possible outcome of y multiplied by their respective logarithms.

Next, we calculate H(y|x), the conditional entropy of y given x. It quantifies the remaining uncertainty in y when x is known. This is also computed by summing the probabilities of each outcome of y given x, multiplied by their respective logarithms.

The mutual information I(x;y) is then obtained by subtracting H(y|x) from H(y). It represents the reduction in uncertainty about y when x is known.

In summary, to solve I(x;y), we need to compute H(y), H(y|x), and then subtract the latter from the former. This will give us the mutual information between x and y, quantifying the amount of information that x provides about y.

To calculate H(y), we determine the probability distribution of y and sum the products of each outcome's probability and its logarithm. This measures the overall uncertainty in y.

Next, to compute H(y|x), we consider the conditional probability distribution of y given x. For each value of x, we calculate the conditional probabilities of each outcome of y and sum the products of these probabilities and their logarithms. This measures the remaining uncertainty in y when x is known.

Subtracting H(y|x) from H(y) gives us the mutual information I(x;y). A positive value indicates that x provides information about y, while a value of zero suggests no relationship between the variables.

By determining the mutual information, we can understand how much knowledge about y is gained from knowing x.

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If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.

In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).

For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.

General Properties of Probability Distributions

Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is

X usually represents a random variable.

Tilde (~) indicates follow distribution.

Upper case indicates distribution. B. N for normal distribution.

Bracket contains the parameters of the distribution.

For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).

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This can be proved by using identities of trigonometry.

Given that,  

sin x + sin²x = 1 ⇒ sin x = 1 - sin²x

⇒ sin x = cos²x   (∵sin²x + cos²x = 1)

We have to prove that,

cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x = 1

LHS = cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x

= sin⁶x + 3sin⁵x + 3sin⁴ + sin³x

= (sin²x)³ + 3(sin²x)²sin x + 3(sin²x) (sin x)² + (sin x)³

= (sin²x + sin x)³           (∵(a+b)³ = a³ + 3a²b + 3 ab² + b³)

= 1³ = 1 = RHS

LHS = RHS

Hence the equation is proved since both sides of the equation are equal.

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a. The equation of the perimeter is x + x + x + 2x + 2x = 42. Option A

b. x = 6 centimeters

c. The lengths are 6 centimeters , 6 centimeters , 6 centimeters  , 12 centimeters  and 12 centimeters respectively.

It is important to note that the formula for calculating the perimeter of a pentagon is expressed as;

Perimeter = 5a

Where: 'a' represents the length of one of its side

From the information given, we have that the perimeter of the geometrical figure is the sum of its sides.

Given the sides;

x , x , x, 2x , 2x

Now, substitute the values into the formula for perimeter

x + x + x + 2x + 2x = 42

collect like terms and add them

7x = 42

Now, make 'x' the subject of formula by dividing both sides by the coefficient of the variable 'x'

We have;

7x/7 == 42/7

x = 6 centimeters

But the length of the sides is determined by substituting the value of x as 6

x = 6 centimeters

x = 6 centimeters

x = 6 centimeters

2x = 2(6) = 12 centimeters

2x = 2(6) = 12 centimeters

Hence, the lengths are 6, 6, 6 , 12 and 12 centimeters respectively.

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Answer:

The Answer for 19 is x+y=38.

The Answer for 20 is  2x+5y=100.

Answer:

23 mpg

161/7=23

Add in the unit you are measuring by, and you get 23 mpg

Answer:

B: 23

Step-by-step explanation:

Divide 161 by 7 to get 23.

Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x

-4y - 3x = 31

For this case we have the following functions:

y = 4x

y = 4 ^ x

We observed that :

The graph y = 4 ^ x is growing faster than y = 4x, because for smaller values of x, it has the same range as y = 4x.

Answer:

The graph y = 4 ^ x is growing faster than y = 4x

answer is b

Answer:

B is your answer

Step-by-step explanation:

just took on edge 2021

0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

Answer:

kgr5igv%6ovdr

Step-by-step explanation:

g7id24ohswegbj see ohsd

Answer: 2

Step-by-step explanation:

because e=mc

Answer:

190

Step-by-step explanation:

30x6=180+10=190

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