An alternative definition of a minterm for a function is a product of literals such that there is exactly one setting of the input variables for the function that causes the minterm to evaluate to 1. For a function with input variables x, y, and z, give all the different possible values for x, y, and z that cause the expression xy' to evaluate to 1. Is xy' a minterm for this function?

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

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To determine if a vector is a linear combination of u = (0, -2, 2) and v = (1, 3, -1), we need to check if there exist constants such that the given vector can be expressed as a linear combination of u and v.

Let's check each option:

(a) (2, 2, 2):

To express (2, 2, 2) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (2, 2, 2). However, this is not possible since the z-component of u is 2, while the z-component of (2, 2, 2) is different. Therefore, (2, 2, 2) is not a linear combination of u and v.

(b) (0, 4, 5):

Similarly, to express (0, 4, 5) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (0, 4, 5). However, this is not possible since the z-component of u is 2, while the z-component of (0, 4, 5) is different. Therefore, (0, 4, 5) is not a linear combination of u and v.(c) (0, 0, 0):

To express (0, 0, 0) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (0, 0, 0). This is possible by choosing a = 0 and b = 0. Therefore, (0, 0, 0) is a linear combination of u and v.

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Answer:

?????

Step-by-step explanation:

2.5(cos 5π/6  + i sin 5π/6) is the polar form  of the complex number

Complex numbers are numbers that are expressed in the form of a+ib, where a and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1)

Given: the complex number (5√3)/4 - 5/4 i

In polar form:

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

θ  = tan⁻¹( (-5/4) / (5√3 /4) )

θ = -30°

θ = -30+180 = 150°

θ = 5π/6

r = √( (5√3)/4)² +(- 5/4)²) = 2.5

Thus,

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

r(cosθ + isinθ) = 2.5(cos 5π/6  + i sin 5π/6 )

Therefore, the polar form  of the complex number is 2.5(cos 5π/6  + i sin 5π/6)

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Answer:

1/8^2, 1/2^4 and 1/3^5

Step-by-step explanation:

Hence, the interest rate is 0.03 percent, or 3%. it is expressed as a percentage .

The amount of money earned or charged on a principal sum of money over time is referred to as interest in mathematics. In financial transactions like loans, investments, and savings accounts, it is frequently utilized.  Simple interest is calculated for the full time period as a fixed percentage of the principal amount. For instance, after a year, you would owe $50 in interest if you borrowed $1,000 at a simple interest rate of 5% per year.

given

We can use the following formula for simple interest to determine the interest rate given the principal, period, and simple interest:

I = P * r * t

where r is the interest rate expressed as a decimal, P is the principal, I is the simple interest, and t is the amount of time in years.

This formula can be changed to account for the interest rate:

r = I / (P * t)

In this instance, the principal, period, and simple interest are all provided. These values can be plugged in to find the interest rate:

r = I / (P * t)

r = 600 / (4000 * 5)

r = 0.03

Hence, the interest rate is 0.03 percent, or 3%. it is expressed as a percentage .

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Step-by-step explanation:

x=66°

180-118=62°

180-52+62=66°

hope this helps

a.  No because P(A | B) ≠ P(A).

b. No because P(A ∩ B) ≠ 0.

c. The probability that neither A nor B takes place is 0.43

The correct answer is: No because P(A | B) ≠ P(A).

The correct answer is: No because P(A ∩ B) ≠ 0.

To calculate the probability that neither A nor B takes place, we need to find the complement of the union of A and B, which is denoted as A' ∩ B'.

The complement of an event A is the probability of the event not occurring, which is equal to 1 - P(A). Thus, the probability that neither A nor B takes place is P(A' ∩ B') = 1 - P(A ∪ B).

To find P(A ∪ B), we can use the inclusion-exclusion principle:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Given that P(A) = 0.54, P(B) = 0.25, and P(A ∩ B) = 0.22, we can substitute these values into the equation:

P(A ∪ B) = 0.54 + 0.25 - 0.22 = 0.57.

Therefore, the probability that neither A nor B takes place is:

P(A' ∩ B') = 1 - P(A ∪ B) = 1 - 0.57 = 0.43.

The probability that neither A nor B takes place is 0.43 (rounded to 2 decimal places).

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Answer:

0.5735764

Step-by-step explanation:

sin(55°) = √(1-cos²(55°))

Answer:

The answer is 0.5735764

Step-by-step explanation:

sin(55°) = √(1-cos²(55°)

Hope this helped! Have a GOOD DAY!

To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.

A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.

The dimensions of the upper part:

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Answer: y = 20.48

Step-by-step explanation:

To get rid of the denominator under the y you must multiply the entire equation by 4.

y = 20.48

That's all :)

Answer:

20.48 :)

Step-by-step explanation:

To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3

The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10). Therefore, the minimum value is -16.

To find the absolute minimum and absolute maximum of the function f(x, y) = 6 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 10), we need to evaluate the function at the critical points and the boundary of the region.

Critical points: To find critical points, we need to take the partial derivatives of f(x, y) with respect to x and y and set them equal to zero.

∂f/∂x = -4 = 0

∂f/∂y = 7 = 0

Since there are no solutions to these equations, there are no critical points within the region.

Boundary of the region: We need to evaluate the function at the vertices and on the sides of the triangle.

Vertices:

f(0, 0) = 6 - 4(0) + 7(0) = 6

f(7, 0) = 6 - 4(7) + 7(0) = -16

f(7, 10) = 6 - 4(7) + 7(10) = 60

Sides:

Side 1: From (0, 0) to (7, 0)

y = 0

f(x, 0) = 6 - 4x + 7(0) = 6 - 4x

The minimum occurs at x = 7 with a value of -16.

Side 2: From (0, 0) to (7, 10)

y = (10/7)x

f(x, (10/7)x) = 6 - 4x + 7((10/7)x) = 6 - 4x + 10x = 6 + 6x

The minimum occurs at x = 0 with a value of 6.

Side 3: From (7, 0) to (7, 10)

x = 7

f(7, y) = 6 - 4(7) + 7y = -22 + 7y

The minimum occurs at y = 0 with a value of -22.

From the above evaluations, we can conclude:

The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10).

The absolute maximum value of f(x, y) is 60, occurring at the point (7, 10).

Therefore, the minimum value is -16.

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Answer:

$5 for one person to rent a locker

Step-by-step explanation:

Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.

Hope this helps!

Answer:

(x+2)(x+4)=x^2+6x+8

Step-by-step explanation:

first you foil (x+2)(x+4) and you get x^2, 2x+4x+8

then combine like terms and you get x^2+6x+8

Answer:

(x+2)(x+4) = x*x + x*4 + 2*x + 2*4

                = x² + 4x + 2x + 8

                = x² + 6x + 8

Answer: it's 1/8

Step-by-step explanation:

Answer:

After expansion and simplifying the expression gives;

Explanation:

Given the expression;

Expanding using Distributive Property;

simplifying;

Therefore after expansion and simplifying the expression gives;

The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.

The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.

The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.

Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.

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Answer:

2k+10

Step-by-step explanation:

Good luck!

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

n = 5, p = 0.25.

The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

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There are 4845 different ways to select 16 questions out of a total of 20 questions on the exam.

To determine the number of different ways you can select 16 questions out of a total of 20 questions, we can use the concept of combinations.

In this case, we want to select 16 questions from a set of 20 questions, and the order in which we select them doesn't matter. This scenario can be represented by the combination formula.

The formula for combinations is given by:

C(n, k) = n! / (k!(n-k)!)

Where:

n is the total number of items in the set (20 questions)

k is the number of items to be selected (16 questions)

! denotes the factorial operation

Using the combination formula, we can calculate the number of different ways to select the questions:

C(20, 16) = 20! / (16!(20-16)!)

= 20! / (16!4!)

= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)

= 4845

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Answer:

2340002

Step-by-step explanation:

glwhbEqFVGRBAhfrwlghaebg

Answer:

20234.0

Step-by-step explanation:

20000+234.0000=20234

i hope this helps you

have a nice day!!

The probability that the sample proportion will differ from the population proportion by less than 0.03 exists 0.9909.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Let the true proportion exists 0.07

number of samples exists 492 then we get

√(0.07)(1−0.07)/492 ≈ 0.01150291586

Since the true value of the population proportion exists 0.07, the value of p^ must fall between 0.04 and 0.10 in order for the error of estimation to be less than 0.03.

Therefore, the probability that the sample proportion will differ from the population proportion by less than 0.03 exists 0.9909.

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Answer:

41 is your answer

Step-by-step explanation:

m<EFG = 1/2 (121-39)

M<EFG= 1/2 (82)

M<EFG= 41

hope this helps u have a great day ^_^

Answer:

m∠EFG= 41°

Step-by-step explanation:

\(c=\frac{a-b}{2}\)

\(\frac{121-39}{2}\)

\(= \frac{82}{2}\)

so, m∠EFG=41°

\(----------\)

hope it helps...

have a great day!!

1) A function to model the cost of C after t years since 2000 is \(C = 4,291(1 + 0.0315)^t\)

2)If the trend continues,  a student expect to pay for room and board in 2017 is $7862.35 .

What is exponential function?

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.

Here we need to use exponential function formula to find the cost function . Then,

=> \(f(x)=a(1+r)^t\)

Where a is cost for room in 2000 and r is rate of change.

Then model the cost of room and board C after t years since 2000, we can use the formula:

=> \(C = 4,291(1 + 0.0315)^t\)

where 0.0315 represents the annual increase of 3.15% expressed as a decimal.

Now we have to find the cost of room and board in 2017, we need to substitute t = 17 (since 2017 is 17 years after 2000) into the function and round the result to the nearest hundredth.

So,\(C = 4,291\times(1 + 0.0315)^{17}\)

=>C = 7,862.35

Therefore, a student would expect to pay approximately $7862.35 for room and board in 2017 if the trend continued.

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Answer:

46 miles

Step-by-step explanation:

First, set up an equation:

(48 + 58 + 68 + 50 + x) ÷ 5 = 54

Add the miles in the parentheses:

(48 + 58 + 68 + 50 + x) ÷ 5 = 54

48 + 58 + 68 + 50 = 224

(224 + x) ÷ 5 = 54

Multiply by 5 on each side:

[(224 + x) ÷ 5] × 5 = (54) × 5

(224 + x) = 270

Subtract 224 on each side to isolate x:

(224 + x) - 224 = (270) - 224

x = 46 miles

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