describe a situation that could be represented by f(x) // pls help

The complement of the given event, that all 100 engines are free of defects, is that at least one engine among the 100 shipped has a defect.

The complement of the given event, which is that all 100 engines shipped are free of defects, is the event that at least one engine among the 100 shipped has a defect. The complement represents the event that is the opposite of the given event. In this case, it is the event that at least one engine among the 100 has a defect, which could be described as the event of "failure" or "non-conformance". This is important in probability theory as it allows us to calculate the probability of the complement event and use it to determine the probability of the original event, among other applications.

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Complete question:

When 100 engines are shipped, all of them are free of defects. Select a written description the complement of the given event

A) At most one of the engines is defective.

B) All of the engines are defective.

C) At least one of the engines is defe

D) None of the engines are defective

The points of horizontal tangency are (3, -3) and (7, -5), and the point of vertical tangency is (3, -3).

Given curve is x = 5 + 2cosθ and

y = -4 + sinθ.

The derivative of x and y is given by;

dx/dθ = -2sinθ and

dy/dθ = cosθ

Respectively.

The slope of a horizontal tangent is zero. Therefore;

dy/dθ = 0

⇒ cosθ = 0

⇒ θ = π/2 or 3π/2.

At θ = π/2,

x = 3 and

y = -3.

So, we have a horizontal tangent at (3,-3).

Similarly, at θ = 3π/2,

x = 7 and

y = -5.

Therefore, we have another horizontal tangent at (7,-5).

The slope of a vertical tangent is infinity. Therefore;

dx/dθ = 0

⇒ -2sinθ = 0

⇒ θ = nπ, where n is an integer.

At θ = π,

x = 3 and

y = -3.

Therefore, we have a vertical tangent at (3,-3).

Thus, the conclusion is that the points of horizontal tangency are (3, -3) and (7, -5), and the point of vertical tangency is (3, -3).

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Answer: Hello!

The two numbers are 8 and 5 .

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

Anna♥

In a cohort study examining the effect of anti-smoking advertisements on smoking cessation, there were two groups: an unexposed control group with 18,842 individuals contributing 351,551 person-years.

To calculate the risk in the exposed group, we need to determine the number of individuals who experienced smoking cessation in that group and divide it by the total number of individuals in the exposed group.

In the exposed group, there was one case of smoking cessation. The total number of individuals in the exposed group is 798. Therefore, the risk in the exposed group can be calculated as follows:

Risk = (Number of cases in the exposed group / Total number of individuals in the exposed group) * 100

Risk = (1 / 798) * 100 = 0.125%

So, the risk in the group exposed to anti-smoking advertisements is 0.125%.

Since the risk calculation is not specified to be over a specific period, we assume it represents the overall risk over the 21-year follow-up period.

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(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

Step 1: f(0) = -2

I also attached the graph in the explanation!

Step-by-step explanation:

f(x) = 0.5^x -3

f(0) = 0.5^0 - 3

f(0) = 1 - 3

f(0) = -2

I attached the graph below.

Answer:

Step-by-step explanation:

That exterior angle is equal to the sum of the remote interiors, specifically:

2x + 3 = 45 + x + 8 and

x = 50

So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

Answer:

Solution = Infinitely many

Step-by-step explanation:

y = -x + 1

y - 1 = -x

y = -x + 1

y = -x + 1 (Multiply by -1)

y = -x + 1

-y = x - 1

0 = 0

Since 0 = 0 is true, this is an identity solution that has an infinite set of solutions

Answer:

(J)

Step-by-step explanation:

If the scale factor of dilation is greater than 1, the image is an enlargement.

If the scale factor of dilation is between 0 and 1, the image is a reduction.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The list after sorting in ascending order is C) {3 17 44 69}.

Sorting means arranging the numbers in ascending or descending order based on their value. In this case, the numbers are arranged in ascending order, meaning that the smallest number comes first, followed by the next smallest number and so on.

To sort the list, we can use any sorting algorithm such as selection sort, bubble sort, insertion sort, or quicksort. One simple way to sort the list is to use the built-in sort function provided by most programming languages. The sort function takes the list as input and returns a new list with the elements sorted in ascending order.

In summary, the sorted list in ascending order is {3 17 44 69}, and we can use sorting algorithms or built-in functions to sort a list in ascending or descending order based on our requirement.

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The set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

Looking at the box plot, we can see that the box spans from approximately 65 to 85, with the median at around 75. To find the values for the interquartile range and maximum, we need to determine the exact values for Q1, Q3, and any outliers.

From the box plot, we can estimate that Q1 is around 70 and Q3 is around 80.

The median of the lower half of the data is the middle value between the smallest value and the median, which is approximately 68.

The median of the upper half of the data is the middle value between the median and the largest value, which is approximately 83.

To find the maximum value, we look for the highest data point that is not an outlier. From the box plot, we can see that there are no outliers, so the maximum value is the highest value in the data set, which is approximately 95.

Therefore, the set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

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The number of countries that have both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is approximately 174.

To understand the answer, we can interpret the given frequency as a probability. The frequency of 0.174 indicates that out of all countries in North America, 17.4% (or 0.174 as a decimal) have both a population density of fewer than 100,100,100 per square kilometer and a medium population.

To calculate the number of countries, we would multiply this probability by the total number of countries in North America. However, the total number of countries in North America is not provided in the given information. Therefore, without knowing the total number of countries, we cannot provide an exact count of the countries that meet the specified criteria.

In summary, the given information states that the frequency of countries with both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is 0.174. However, without the total number of countries in North America, we cannot determine the exact count of countries that meet the specified criteria.

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Answer:

the complementary angles and the supplementary angles

Step-by-step explanation:

m<1=60

m<2=120

m<3=60

m<4=120

m<5=30

m<6=30

Answer:

The square root of 45 is approximately 6.708203932.

Answer:

6 ≤x<∞

Step-by-step explanation:

The inside of the square root must be greater than or equal to zero

x-6≥0

x-6+6≥0+6

x≥6

6 ≤x<∞

Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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Answer:

-2.5

Step-by-step explanation:

25/-10 = -2.5

20/-8 = 2.5

10/-4 = 2.5

-5/2 = 2.5

so the answer is -2.5

Can I pls have brainliest

Answer:

Step-by-step explanation:

9+12i+3zi+4zi²-(9-6i+3zi-2zi²)

= 9+12i+3zi+4zi²-9+6i-3zi+2zi²

= 18i+6zi²

= i(18+6zi) or 6i(3+zi)

i hope this is the anwer you're looking for

Step-by-step explanation:

1111111111111111111111

Answer:

3.2

Step-by-step explanation: