Find the length of WV

the inverse of the given Function will be f⁻¹(x) = (x-6)/3.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(x) = 3x +6

to calculate the inverse:

In our case, function:

f(x) = 3x +6

let f(x) be "y"

So,

y = 3x +6

Replace the variables

x' = 3y' + 6

3y' = x' -6

y' = (x' - 6)/3

Therefore, the inverse of the given Function will be f⁻¹(x) = (x-6)/3.

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The number of different ways is 7560 ways

From the question, we have the following parameters that can be used in our computation:

Chiefs = 1

Supporting chiefs = 2

Members = 10

Inferior officers = 2

There are 10 members.

So, the number of ways to select a chief is 10

Now, there are 9 members left

The number of ways to select a supporting chief is then represented as

Supporting chief = ⁹C₂

Now, there are 7 members left

The number of ways to select an inferior officer is then represented as

Inferior officers = ⁷C₂

So, the total number of ways is

Ways = 10 * ⁹C₂ * ⁷C₂

Evaluate

Ways = 7560

Hence, the number of ways is 7560

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the probability that Hanna draws a blue marble, we need to determine the ratio of the number of favorable outcomes (drawing a blue marble) to the total number of possible outcomes (drawing any marble).

The total number of marbles in the bag is the sum of the blue, green, and red marbles:

Total marbles = 15 blue marbles + 8 green marbles + 7 red marbles = 30 marbles

Since Hanna is drawing only one marble, the total number of possible outcomes is 30.

The number of favorable outcomes (drawing a blue marble) is 15 blue marbles.

Therefore, the probability that Hanna draws a blue marble is:

Probability = Number of favorable outcomes / Total number of possible outcomes

          = 15 blue marbles / 30 marbles

          = 0.5

So, the probability that Hanna draws a blue marble is 0.5 or 50%.

Answer:

The answer is -5 + (-3).

Step-by-step explanation:

Answer:

-5 is the original position

The swimmer descends 3 meters, so we subtract 3 or add -3. Thus, the answer is:

-5 + (-3)

Answer:

helen works 16 hours

Step-by-step explanation:

caroline = 3 which is 24 hours

24/3 = 8

1 = 8 hours

8 hours x 2 = 16 hours

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Answer:

-6

Step-by-step explanation:

on a number labled for example -10 through 10, -6 would be lower then 5

a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Multiplying the numbers in each domino, and applying the rules for the product, the five digit code is given as follows: 49836.

To find the first digit, we have to multiply the values at the first domino, hence:

Product = 2 x 5 = 10.

The rule for 10 is Product - 6, hence the first digit is of 4.

To find the second digit, we have to multiply the values at the second domino, hence:

Product = 6 x 6 = 36.

The rule for 36, as it is greater than 20, is Product - 27, hence the second digit is of 9.

To find the third digit, we have to multiply the values at the third domino, hence:

Product = 3 x 2 = 6.

The rule for 6 is Product + 2, as it is less than 10, hence the third digit is of 8.

To find the fourth digit, we have to multiply the values at the fourth domino, hence:

Product = 5 x 6 = 30.

The rule for 30, as it is greater than 20, is Product - 27, hence the fourth digit is of 3.

To find the fifth digit, we have to multiply the values at the fifth domino, hence:

Product = 3 x 4 = 12.

The rule for 30, as it is greater than 20, is Product - 27, hence the fourth digit is of 3.

The rule for 12 is Product - 6, hence the fifth digit is of 6.

Thus the five digit code is given as follows: 49836.

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Answer:

True

Step-by-step explanation:

True. A z-score, also known as a standard score, is a statistical measure that helps to determine how far a particular value is from the mean relative to the data set's standard deviation.

A z-score is a dimensionless quantity that expresses the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean.

To calculate the z-score for a given value, the formula is: z = (x - μ) / σ where z is the z-score, x is the value being considered, μ is the mean of the data set, and σ is the standard deviation of the data set.

For example, if the mean of a data set is 50 and the standard deviation is 10, and we are interested in finding the z-score for a value of 65, the calculation would be: z = (65 - 50) / 10 = 1.5. This indicates that the value of 65 is 1.5 standard deviations above the mean of the data set.

Z-scores are useful for comparing values across different data sets or for identifying extreme values in a data set. Values with high positive or negative z-scores are typically considered to be outliers, indicating that they are further from the mean than most other values in the data set.

In summary, the statement "z-score helps to determine how far a particular value is from the mean relative to the data set's standard deviation" is true. Z-scores are a statistical measure that help to express the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean.

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Answer:

3t-18 is the answer for the first question. And x-4/2x-2 is the second one.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

F(m) = 27 - 3(m)

F(m) = 27 - 3m

The amount that each type would be 11.87 lbs of cashews and 15.13 lbs of brazil nuts

1. First, find the total cost of 27 lbs of the mixture: 27 lbs x $6.41/lb = $171.07.
2. Next, find the cost of cashews and brazil nuts in the mixture. Cashews cost $7.70/lb and brazil nuts cost $4.80/lb.
3. Subtract the cost of the brazil nuts from the total cost of the mixture: $171.07 - (27 lbs x $4.80/lb) = $105.27.
4. Divide the cost of the cashews ($105.27) by the cost of one pound of cashews ($7.70): $105.27/$7.70 = 13.66 lbs.
5. Subtract the number of pounds of cashews (13.66) from the total pounds of the mixture (27) to find the number of pounds of brazil nuts: 27 - 13.66 = 15.13 lbs.
6. Therefore, the mixture should contain 11.87 lbs of cashews and 15.13 lbs of brazil nuts.

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Answer:

900 in a minute

Step-by-step explanation:

2700/3

=900

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

7x+10=3x+13

Step 1: Subtract 3x from both sides.

7x+10−3x=3x+13−3x

4x+10=13

Step 2: Subtract 10 from both sides.

4x+10−10=13−10

4x=3

Step 3: Divide both sides by 4.

4x/4=3/4

x=3/4

Answer:

-20 Absalute value=20

14 Absalute value=14

20+14=34

Step-by-step explanation:

Answer:

Step-by-step explanation:

A dilation is something that shrinks smaller than what is already shown on the graph. To answer a dilation you must find how many squares it shrinked it will be a  fraction or a whole number. There is a formula for how to solve this equation.

Answer: 72

Step-by-step explanation:

From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.

The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:

= 90% × 80

= 90/100 × 80

= 72

She must get 72 to get a A.

Since ¬∃x¬R(x) leads tο a cοntradictiοn and assuming ¬∃x¬R(x) led tο a valid prοοf, we can cοnclude that ∃x¬R(x) is true.

Tο shοw that ∃x¬R(x) is true based οn the given premises, we can use the fοllοwing steps using rules οf inference:

Therefοre, based οn the given premises, we can infer that ∃x¬R(x) is true.

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Answer:

It is the odd number 1009

Step-by-step explanation:

Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.

2018 - 2017 = 1

2016 - 2015 = 1

...

4- 3 = 1

2 - 1 = 1

That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.

The value of U and V will be (x – 3) and 8y, respectively. Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

⇒ (U + V)(U – V)

Where U and V are either constant or single variable expression.

Then the expression will be

⇒ U² – V²

Then the value of U and V will be (x – 3) and 8y, respectively.

Then the correct option is A.

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\(72 - 2y^{2} = 2(36-y^{2} )= 2(6-y)(6+y)\)

Find the GCF of the terms: 72 and -2y^2.

Divide each term by the GCF:

Now we have: 2(36 - y^2).

Identify if there is a difference of squares.

Putting it all together, the fully factorized expression is:

2(6 - y)(6 + y).

Answer:

x−6y=−7

____________

Answer:

each side is by 5

JK←→ and LM←→− are neither parallel nor perpendicular.

To determine if JK←→ and LM←→− are parallel, perpendicular, or neither, we need to examine their slopes.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

slope =(y₂ - y₁)/(x₂ - x₁)

The slope of JK←→ passing through J(-10, -7) and K(-4, 1) is:

slope(JK) = (1 - (-7)) / (-4 - (-10)) = 8 / 6

= 4 / 3

The slope of LM←→− passing through L(-3, 2) and M(-4, -2) is:

slope(LM) = (-2 - 2) / (-4 - (-3))

= -4 / (-1)

= 4

If two lines are parallel, their slopes are equal. If two lines are perpendicular, their slopes are negative reciprocals of each other. Otherwise, they are neither parallel nor perpendicular.

Comparing the slopes of JK←→ and LM←→−, we see that they are not equal, so they are not parallel. To determine if they are perpendicular, we need to calculate the negative reciprocal of the slope of JK←→:

slope(JK) = 4 / 3

negative reciprocal of slope(JK) = -3 / 4

If the negative reciprocal of the slope of JK←→ is equal to the slope of LM←→−, then the two lines are perpendicular. Let's check:

slope(LM) = 4

-3 / 4 ≠ 4

Since -3 / 4 is not equal to 4, the lines are neither parallel nor perpendicular.

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Answer:

y=100x+1000; 3,000 CDs after 20 days.

Step-by-step explanation:

Y=mx + b is your "slope-intercept form" standard equation, where "M" is your slope and "B" is your Y-intercept normally, but in this case it can be seen as your starting sales point.

1,000 copies are sold the first day. That is your Y intercept

100 copies sold there after so slope is seen like "100 copies sold / 1 day"

100/1 = 100x

so we end up with y=100x+1000 where X = the number of days that have passed and Y = number of CDs sold.

y= 100 ( 20) + 1,000

y = 2,000 + 1,000

y=3,000 CDs sold after 20 days.