For each function, find f(1), f(2), f(3) , and f(4) .

f(x)=-3 x-9

The supervisor calculates the mean number of miles that the employees in a department live from work and obtains the value  (x-bar).

The mean, denoted by x - bar (x-bar), is a statistical measure that represents the average value of a set of data. In this case, the supervisor is interested in determining the average distance in miles that the employees in a department live from their workplace.

By calculating x-bar, the supervisor obtains a single value that summarizes the central tendency of the data set.

The mean is computed by summing all the distances and dividing the sum by the total number of employees in the department.

It provides valuable insight into the typical commute distance of the employees and can be used for various purposes, such as evaluating transportation needs or planning employee benefits.

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Answer: 49

Step-by-step explanation:

28÷8=3.5

3.5 is the number you multiply 14 by to get 49

Answer:

Step-by-step explanation:

Since we have been given that

Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .

Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.

As per Ari,

For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel

For each 1 scoop of frozen yogurt, he wants

3 ounces of Caramel

For each 8 scoops of frozen yogurt, he wants

3/5 * 8 = 24/5= 4.8 ounces

In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.

Answer:

Step-by-step explanation:

5456

Answer:

- 4 < x ( or ) x > - 4

Step-by-step explanation:

- 10 < - 6 + x

Add 6 on both the sides,

- 10 + 6 < x

- 4 < x

Answer:

Percentage: 80%

Decimal: 0.8

I think this could be an answer

Spike-and-slab regression is a method used to model the relationship between a response variable and a set of predictor variables, and nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity.

Spike-and-slab regression is a statistical method used to model the relationship between a response variable and a set of predictor variables, where the predictor variables are partitioned into two groups: a set of important predictors (spikes) and a set of unimportant predictors (slabs). Nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity. These constraints can be used to enforce prior knowledge or assumptions about the relationships between the predictor variables, and can help to improve the accuracy and interpretability of the model. Examples of nonlinear constraints that can be used in spike-and-slab regression include the convexity constraint and the total variation penalty.

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Answer:

± 10

Step-by-step explanation:

sqrt(100)

What number multiplied by itself is 100

10*10 =100

(-10)*(-10) = 100

The square root of 100 is ± 10

Answer:

36

Step-by-step explanation:

From the diagram, the  following is true;

AY = YB = 7

BZ = ZC = 6

XC = XA = 5

perimeter of the triangle is the sum of all the sides

Hence ;

Perimeter = AY+YB+BZ+ZC+XC+XA

Perimeter of the triangle = 7+7+6+6+5+5

Perimeter of the triangle = 36

hence the perimeter of the triangle is 36

The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.

When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.

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a. the probability that a randomly selected candy weighs more than 0.8537 g is approximately 0.5062.

b. the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g is approximately 0.4920.

a. To find the probability that a randomly selected candy weighs more than 0.8537 g, we can use the z-score and the standard normal distribution.

Given:

Mean weight (μ) = 0.8545 g

Standard deviation (σ) = 0.0517 g

We need to find the probability P(X > 0.8537), where X is the weight of a randomly selected candy.

First, let's calculate the z-score for 0.8537 g:

z = (x - μ) / σ

z = (0.8537 - 0.8545) / 0.0517

z ≈ -0.0155

Using the standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of -0.0155, which is approximately 0.5062.

Therefore, the probability that a randomly selected candy weighs more than 0.8537 g is approximately 0.5062.

b. To find the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g, we need to calculate the sampling distribution of the sample mean.

Given:

Sample size (n) = 458

Mean weight (μ) = 0.8545 g

Standard deviation (σ) = 0.0517 g

The sample mean follows a normal distribution with the same mean as the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ/√n).

Standard deviation of the sample mean (σ/√n) = 0.0517 / √458 ≈ 0.002415

To find the probability P(\(\bar{X}\) ≥ 0.8537), where \(\bar{X}\) is the mean weight of the sample of 458 candies:

Using the z-score formula:

z = (\(\bar{X}\) - μ) / (σ/√n)

z = (0.8537 - 0.8545) / 0.002415

z ≈ -0.0331

Using the standard normal distribution table or a calculator, the probability corresponding to a z-score of -0.0331 is approximately 0.4920.

Therefore, the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g is approximately 0.4920.

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"Why did you choose the outfit you wore today?" is an example of a open-ended question question.

An illustration of an open-ended question is "why did you choose the outfit you wore today?" An open-ended question is one that invites a range of responses and motivates the reply to give more specific information.

In this situation, a question is open-ended and is meant to inspire a unique response based on the person's preferences, views, or situation. In research, interviews, counseling, and other situations where gathering in-depth and varied information is desired, open-ended questions are frequently employed.

They can help researchers and practitioners better understand people's experiences and perspectives by offering insightful information about their thoughts, feelings, and behaviors.

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Answer:

3.35 inches

Step-by-step explanation:

Actual height of statue = 67 feets

Scale used : 1 inch = 20 feets

Let Length of drawing = x

1 inch = 20 feets

x inch = 67 feets

Cross multiply to obtain the length of the drawing in inches

20 * x = 67 * 1

20x = 67

x = 67 / 20

x = 3.35 inches

Hence, length of her drawing is 3. 35 inches

Answer:

I can do this faster than you can flick your bean

On solving this trigonometry, we find that (a) sec(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{13}{5}\) and (b) tan(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{12}{5}\)

(a) To find the exact value of sec(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that sec(x) = \(\frac{1}{cos}\)(x). Let's draw a right triangle with opposite side 12 and hypotenuse 13. Using the Pythagorean theorem, we can find the adjacent side:

a² + b² = c²

a² + 12² = 13²

a² = 169 - 144

a = √25

a = 5

So our triangle has sides of length 5, 12, and 13. Now we can find cos(sin⁻¹  \(\frac{12}{13}\)) by looking at the adjacent/hypotenuse ratio in this triangle:

cos(sin⁻¹ \(\frac{12}{13}\)) =  \(\frac{5}{13}\)

Therefore, sec(sin⁻¹(12/13)) = 1/cos(sin⁻¹ \(\frac{12}{13}\))

                                            = 1/\(\frac{5}{13}\)

                                            = \(\frac{13}{5}\).

So the exact value of sec(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{13}{5}\).

(b) To find the exact value of tan(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that tan(x) = sin(x)/cos(x). Let's use the same right triangle as before.

Then sin(sin⁻¹ \(\frac{12}{13}\))=  \(\frac{12}{13}\) and cos  \(\frac{12}{13}\)) = \(\frac{5}{13}\)  , so

tan(sin⁻¹ \(\frac{12}{13}\)) = sin(sin⁻¹ \(\frac{12}{13}\))/cos(sin⁻¹\(\frac{12}{13}\))

                        = \(\frac{12}{13}\) / \(\frac{5}{3}\)

                        = \(\frac{12}{5}\)

So the exact value of tan(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{12}{5}\).

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Answer:johns my fraind

Step-by-step explanation:

Answer:

2e+20

Step-by-step explanation:

Answer:

There are 11 pigs and 17 chickens.

Step-by-step explanation:

Lets let

p = number of pigs

c = number of chickens

Assuming each animal has only one head, then

p + c = 28

And assuming that pigs have four feet and chickens have two feet:

pig feet = 4p

that is, 4 feet for each pig, and



chicken feet = 2c

right? two feet per chicken.



All the feet are:

4p + 2c = 78

Now we have two equations and two unknowns, so we can solve this "system of equations". You can use substitution or elimination method (or even graphing or matrices) I will run through elimination method.

Multiply p+c=28 times -2.

-2p + -2c = -56

then add the whole equation to the other equation. Do this adding vertically, from top to bottom.

-2p + -2c = -56

4p + 2c = 78

_____________

2p = 22

Divide by 2 to solve

p = 11

There are 11 pigs.

Remember,

p + c = 28

11 + c = 28

subtract 11

c = 17

There are 17 chickens.

9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to the equation above we must first find the slope of the above equation

y = - 74x - 2

Comparing with the above formula

Slope = - 74

Since the lines are parallel their slope are also the same

Slope of parallel line = - 74

Equation of the line using point (4 , -2) and slope - 74 is

y + 2 = 74( x - 4)

y + 2 = 74x - 296

y = 74x - 296 - 2

We have the final answer as

Hope this helps you

Answer:

y= -7/4x+5

Step-by-step explanation:

I got it correct on founders edtell

The probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

To find the probability that a randomly selected woman is taller than 5 ft 10 in, we need to convert the height to inches and then calculate the probability using the Normal distribution.

5 ft 10 in is equivalent to 5(12) + 10 = 70 inches.

Let's calculate the z-score corresponding to a height of 70 inches using the formula: z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation. In this case, x = 70 inches, μ = 63.8 inches, and σ = 2.8 inches.

\(z=\frac{70-63.8}{2.8} = 2.214\)

Using a standard Normal distribution table or calculator, we can find the probability associated with this z-score.The probability of a randomly selected woman being taller than 5 ft 10 in (70 inches) can be found by calculating the area under the Normal distribution curve to the right of z = 2.214.

P(Z > 2.214) = 1 - P(Z ≤ 2.214)

By looking up the corresponding probability in the standard Normal distribution table or using a calculator, we find that P(Z ≤ 2.214) ≈ 0.9857.

Therefore, P(Z > 2.214) = 1 - 0.9857 =0.0143.

Thus, the probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

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The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

As per the question, we can write the expression as:

(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)

Using product notation, we can write this as:

Π⁷k =1 \((t^k - 9)\)

where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.

Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

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Answer:

Probability of getting a "3" is 1/6

Probability of not getting a "3" is (1-1/6)=5/6

B) 5/6 is the right answer.

(REMEMBER: Final label is ft.)

Hallway = (1/2 in. (width) x (2 in. (length) + 3 in. (length)) x 6 ft. (actual size)

Hallway = (1/2 in. (width) x 5 in. (length)) x 6 ft. (actual size)

Hallway = 5/2 in. (area) x 6 ft. (actual size)

Hallway = 15 ft^2 (final answer)

Kitchen = (3 in. (width) x 3 in. (length)) x 6 ft. (actual size)

Kitchen = 9 in. (area) x 6 ft. (actual size)

Kitchen = 54 ft^2 (final answer)

Answer:

28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator

check 70*0.4=28

Step-by-step explanation:

Answer:

2 (teal)

Step-by-step explanation:

this definition would be surface area not volume. volume is what could fit inside.

3 ( 5-2(2) 5-4 =1 1×3 =3 ! it's confusing in this format bit the awnser should be 3

After 5 years the depreciation cost is $7200; accumulated depreciation expense is $36000 and book value at the end of year is $4000.

Given,

Cost of auto =$40,000

Residual value =$4000

Estimated lifetime =5 years

Straight-line Method:-

Depreciation cost can be calculated by formula,

\(Depreciation=\frac{cost\ of\ assest-residual}{estimated\ lifetime}\)

It is constant for every year.

Accumulated depreciation can be calculated by formula,

\(Accumulation\ Depreciation=\frac{cost\ of\ assets-residual}{estimated\ lifetime}*Number\ of\ years\)

Book value at start of year is nothing the cost of asset at that year and Book value at end of year is difference between  cost of asset at that year and depreciation cost.

Using the above formulas all the values for each year is caculated and formed into a table.

Year      BookValue     DepreciationCost     Accumulation    Book Value

                  Start                                                                              End

1         $40,000               $7,200.00                $7,200           $32,800

2         $32,800                $7,200.00                $14,400           $25,600

3         $25,600               $7,200.00              $21,600           $18,400

4         $18,400               $7,200.00              $28,800           $11,200

5          $11,200           $7,200.00                       $36,000           $4,000

Thus, after 5 years the depreciation cost is $7200; accumulated depreciation expense is $36000 and book value at the end of year is $4000.

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The measure of angle ABP from the given circle is 90°.

From the given figure,

11) Measure of angle ABP is 90°.

12) Measure of angle BAK is 180°-(90°+25°)

= 180°-115°

= 65°

13) Measure of angle AQP is 90°.

14) Measure of angle QAK is 180°-(90°+25°) (Because ∠BPA=∠QPA=25°)

15) Measure of Arc BK = Measure of angle BAK = 65°

16) Measure of Arc BQ = Measure of angle BAQ = 65°×2

= 130°

17) m∠CAD=m∠BAK=65°

Therefore, the measure of angle ABP from the given circle is 90°.

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Answer:

45??!

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35