NEED ASAP
2. Find the margin error E. (5pts) 90% confidence level, n = 12, s = 1.23 3. Find the margin of error. (5pts) lower limit= 25.65 Upper limit= 28.65

The option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is B) x1 = 5, x2 = 5.25, Z = 56.5

To determine the correct answer, we can substitute each option into the objective function and check if the constraints are satisfied. Let's evaluate each option:

A) x1 = 5, x2 = 4.63, Z = 52.78

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(4.63) = 85 + 37.04 = 122.04 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(4.63) = 15 + 18.52 = 33.52 ≤ 36 (constraint satisfied)

B) x1 = 5, x2 = 5.25, Z = 56.5

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5.25) = 85 + 42 = 127 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5.25) = 15 + 21 = 36 ≤ 36 (constraint satisfied)

C) x1 = 5, x2 = 5, Z = 55

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5) = 85 + 40 = 125 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5) = 15 + 20 = 35 ≤ 36 (constraint satisfied)

D) x1 = 4, x2 = 6, Z = 56

Checking the constraints:

17x1 + 8x2 = 17(4) + 8(6) = 68 + 48 = 116 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(4) + 4(6) = 12 + 24 = 36 ≤ 36 (constraint satisfied)

From the calculations above, we see that options B), C), and D) satisfy all the constraints. However, option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is: B) x1 = 5, x2 = 5.25, Z = 56.5.

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Answer:

It’s the third option

Step-by-step explanation:

Cuz 4^2 - 2^2 equals the third option

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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The amount Connor and Ashley need to make to have the same amount saved is $144

Let

Ashley:

1/4x + 11

Connor:

3/8x - 7

1/4x + 11 = 3/8x - 7

11 + 7 = 3/8x - 1/4x

18 = (3x-2x) / 8

18 = 1/8x

x = 18 ÷ 1/8

x = 18 × 8/1

x = $144

Therefore, the amount Connor and Ashley need to make to have the same amount saved is $144

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(i) The remainder when f(x) - 1 is divided by (2x + 1) is R1(x) = f(-1/2) - 1.

(ii) The polynomial which is completely divisible by (2x + 1) in terms of f(x) is P(x) = f(x).

(i) We apply the Remainder Theorem in order to find the remainder when f(x) - 1 is divided by (2x + 1):

We apply the Remainder Theorem

f(x) - 1 / (2x + 1).

x = -1/2

f(x) - 1 is divided by (2x + 1) as R1(x).

R1(x) = f(x) - 1

We  then substitute x = -1/2 into R1(x):

R1(-1/2) = f(-1/2) - 1

(ii) In this case, we apply the  factor theorem.

P(x) = f(x) - k(2x + 1)

We Substitute

x = -1/2 into P(x):

P(-1/2) = f(-1/2) - k(2(-1/2) + 1)

P(-1/2) = f(-1/2) - k(0)

P(-1/2) = f(-1/2)

In conclusion, in terms of f(x), the polynomial that is completely divisible by (2x + 1) is P(x) = f(x).

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The provided sentence "Five less than the quotient of eighteen" is converted into an algebraic expression as 18/x - 5.

Five less than the quotient of eighteen and a number

We must convert the provided sentence into an algebraic expression.

Let "x" represent the number.

Therefore,

Five less than that of the quotient of eighteen and "x"

The term quotient refers to the outcome of division.

Therefore,

18/x - 5

That is, Five less than the quotient of eighteen and x.

As a result, the provided sentence is converted into an algebraic expression.

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The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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The probability that a minimum of seven adults enjoy superhero movies is P(X ≥ 7) = P(X = 7) + P(X = 8)

You can calculate the specific values using the formulas and then sum them up to find the probability that a minimum of seven adults enjoy superhero movies out of the random sample of eight adults.

To find the probability that a minimum of seven adults enjoy superhero movies out of a random sample of eight adults, we need to calculate the probability of different scenarios: exactly 7 adults, exactly 8 adults, and add them together.

First, let's calculate the probability that exactly 7 adults enjoy superhero movies. We can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the combination formula (n choose k),

p is the probability of success (58% or 0.58 in decimal form),

n is the number of trials (8 in this case), and

k is the number of successes (7).

Using the formula, we can calculate:

P(X = 7) = C(8, 7) * 0.58^7 * (1 - 0.58)^(8 - 7)

Similarly, the probability that exactly 8 adults enjoy superhero movies is:

P(X = 8) = C(8, 8) * 0.58^8 * (1 - 0.58)^(8 - 8)

To find the probability of a minimum of seven adults enjoying superhero movies, we add these two probabilities together:

P(X ≥ 7) = P(X = 7) + P(X = 8)

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Given matrix A = [[-1, -5q, 14m, 1348n]] and matrix B = [[-11v, 9w, -3, -2r, -141]], we need to compute the entries of E = A^T - B.

The transpose of matrix A, denoted as A^T, is obtained by interchanging the rows and columns of matrix A. So, A^T = [[-1], [-5q], [14m], [1348n]].

To compute e21, we find the entry at the second row and first column of E, which is obtained by subtracting the corresponding entries of A^T and B. Therefore, e21 = -1 - (-11v) = 11v - 1.

To compute a31 - b23 + e12, we consider the entry at the third row and first column of A^T, subtract b23 from it, and add e12. Thus, a31 - b23 + e12 = 14m - (-3) + (-5q) = 14m + 3 - 5q.

The final answers for (a) e21 and (b) a31 - b23 + e12 are 11v - 1 and 14m + 3 - 5q, respectively, in exact, reduced form.

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Answer:

|x-65|=30

Step-by-step explanation:

You are expecting 65 people, but usually 30 people come.

This equation works best since you can find both the minimum and maximum.

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,

|x - 65| = 30

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

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Answer:

the answer is c JUST guessing it might not be correct

Step-by-step explanation:

x + 2y = 8 , x= -5

-5 + 2y = 8

add 5 to both sides:

-5 + 2y + 5 = 8 + 5

2y = 8 + 5

2y = 13

divide both sides by 2:

2y/2 = 13/2

y = 13/2 or 6.5

Using the rule of exponents, the expression is 12x^4 × 35y^5

The rules of exponents are given as:

Given the expression;

3x^3 * 7y^2 * 4x * 5y ^3

collect the like bases

3x³ × 4x × 7y² × 5y³

Add the powers

12x^3 + 1 × 35^ 2 + 3

We then have;

12x^4 × 35y^5

Thus, using the rule of exponents, the expression is 12x^4 × 35y^5

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Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

P (A)  = desired/total

P(A) = 15

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P (B) = 1/4

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

P (AandB) = (1/5) ( 1/4 )

P (AandB) = 1/20

so the probability is 5%

Answer:

c

Step-by-step explanation:

Answer:

There is a 3/7 chance for a gray kitten, a 4/7 chance for a male kitten, and a 1/7 chance for a gray male kitten.

Step-by-step explanation:

Total Kittens = 7 (each of the following will be out of the total amount of kittens)

2/7 = Gray Female

1/7 = Gray Male

1/7 = Black Female

3/7 = Black Male

Total Male Kittens = 4/7

Total Gray Kittens = 3/7

the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.

= -2 +k*(5/n)

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). Finding the distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and computing the area of a triangle in the Cartesian plane can all be done using coordinate geometry.

The range for the definition of the function f(x) = x^2 + 4 is (-2, 2).

Between this interval, there are a total of 5 equal pieces.

Height of each rectangle's right endpoint equals if the interval is divided into n equal pieces. k=(5/n)

Therefore, the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.

= -2 + k*(5/n)

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the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

We are given an equation:

√(2 x +9) - √x = 3

√(2 x +9) = 3 + √x

Raise both sides to the power 2, we get that:

2 x + 9 = 9 + x + 6√x

x = 6√x

Squaring both sides again, we get that:

x² = 6 x

x² - 6 x = 0

x ( x - 6) = 0

x = 0 or x = 6.

Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

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Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

\(\huge\textsf{Hey there!}\)

\(\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}\)

\(\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}\)

\(\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}\)

\(\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 305 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 325 + 45 + 15 + 25}\)

\(\mathsf{= 370 + 15 + 25}\)

\(\mathsf{= 385 + 25}\)

\(\mathsf{= \bf 410}\)

\(\mathsf{= \dfrac{410}{12}}\)

\(\mathsf{\dfrac{410}{12} \approx \bf 34.1667}\)

\(\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

speed equals distance over time.

To and fro, distance=speed×time(ts)

distance=900×18=16,200km.

therefore, ts=16,200

since, speed = distance/time

therefore, time taken is inversely proportional to speed making D the best option.

If G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

To prove the opposite, we need to show that if G is not a pseudorandom generator (PRG), then Construction 3.17 cannot be EAV-secure (indistinguishable encryptions in the presence of an eavesdropper).

Let's assume that G is not a PRG. This means that there exists some efficient algorithm D that can distinguish the output of G from random strings with non-negligible advantage. We will use this assumption to construct an adversary A that can break the EAV-security of Construction 3.17.

The adversary A works as follows:

1. A receives a security parameter n.

2. A runs the key generation algorithm Gen and obtains the key k.

3. A chooses two distinct messages m0 and m1 of length ℓ(n).

4. A computes the ciphertexts c0 = G(k) ⊕ m0 and c1 = G(k) ⊕ m1.

5. A chooses a random bit b and sends cb to the challenger.

6. The challenger encrypts cb using the encryption algorithm Enc with key k and obtains the ciphertext c*.

7. A receives c* and outputs b' = D(G(k) ⊕ c*).

8. If b = b', A outputs 1; otherwise, it outputs 0.

We analyze the probability that A can distinguish between encryptions of messages m0 and m1. Since G is not a PRG, D has a non-negligible advantage in distinguishing G's output from random strings. Therefore, there exists a non-negligible function negl such that:

|Pr[D(G(k)) = 1] - Pr[D(U) = 1]| ≥ negl(n),

where U denotes a truly random string of length ℓ(n).

Now, consider the probability of A winning the PrivK game:

Pr[PrivK_A,Π

eav

(n) = 1] = Pr[b = b']

           = Pr[D(G(k) ⊕ c*) = D(G(k))]

           = Pr[D(G(k)) = 1]

           ≥ Pr[D(U) = 1] - negl(n).

Since negl(n) is non-negligible, we have:

Pr[PrivK_A,Π

eav

(n) = 1] ≥ 2^(-1) + negl(n).

Thus, if G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

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the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

What is quadrilateral?

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

Given that KLMN is a kite

According to the given figure KN = KL and LM=NM

we have the equation y+10=2y+5

y = 5

So KN = KL =15

On putting x =7 for LM and MN we get

LM = MN = 20

Hence, the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

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Answer:

\(\huge\boxed{\sf t = 0.6}\)

Step-by-step explanation:

\(\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}\)

Hope this helped!

The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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When multiplying or dividing a number by 1,000, it is the same as moving the decimal point three places to the right or left, respectively.

When multiplying a number by 1,000, it is the same as moving the decimal point three places to the right. This can be represented through the formula x * 1000 = x/1000. For example, if the number is 5, then 5 * 1000 = 5,000. This is the same as moving the decimal point three places to the right of 5, which results in 5.000. The same concept can be applied when dividing a number by 1,000. For example, if the number is 5,000, then 5,000 / 1000 = 5. This is the same as moving the decimal point three places to the left of 5,000, which results in 5.000. Therefore, when multiplying or dividing a number by 1,000, it is the same as moving the decimal point three places to the right or left, respectively.

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Using the sine function:

Brenna would take 20 min to cut the same wood into sixths.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10

x = 0.3 cuts per minute for single wood,

Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min

Thus, Brenna would take 20 min to cut the same wood into sixths.

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Answer:

0

Step-by-step explanation:

you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.