round 38.725 to the nearest tenth​

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

a. The dependent variable is the number of unit sold. The independent variable is price.

b. The value of r is -0.9965

c. ŷ = -0.68688X + 56.95837

X Values

∑ = 301

Mean = 50.167

∑(X - Mx)2 = SSx = 920.833

Y Values

∑ = 135

Mean = 22.5

∑(Y - My)2 = SSy = 437.5

X and Y Combined

N = 6

∑(X - Mx)(Y - My) = -632.5

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -632.5 / √((920.833)(437.5)) = -0.9965

Meta Numerics (cross-check)

r = -0.9965

c. Regression line calculation

Sum of X = 301

Sum of Y = 135

Mean X = 50.1667

Mean Y = 22.5

Sum of squares (SSX) = 920.8333

Sum of products (SP) = -632.5

Regression Equation = ŷ = bX + a

b = SP/SSX = -632.5/920.83 = -0.68688

a = MY - bMX = 22.5 - (-0.69*50.17) = 56.95837

ŷ = -0.68688X + 56.95837

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A. The appropriate probability model for this situation is a categorical or multinomial distribution.

B. Here is a frequency table based on the simulation with 20 trials:

Outcomes | Frequency

Italian | 9

Mexican | 4

American | 3

French | 2

Ethnic | 2

Total | 20

C. The simulation results indicate that Italian cuisine is the most popular choice among the readers, followed by Mexican, American, French, and Ethnic cuisine.

Each food type (Italian, Mexican, American, French, Ethnic) can be considered as a category, and the probabilities of choosing each type represent the relative frequencies observed in the survey.

It should be noted that a bar graph visually represents the probabilities, showing the relative popularity of each food type based on the survey data. This information can be used to understand the preferences of similar populations and make informed decisions related to restaurant offerings or marketing strategies.

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The description of ordered sample from a batch with given conditions are given with the replacement batch.

The ordered sample space for selecting two items without replacement from {a, b, c, d} is: {(a, b), (a, c), (a, d), (b, a), (b, c), (b, d), (c, a), (c, b), (c, d), (d, a), (d, b), (d, c)}. The ordered sample space for selecting two items without replacement from {a, b, c, d, e, f, g} is: {(a, b), (a, c), (a, d), (a, e), (a, f), (a, g), (b, a), (b, c), (b, d), (b, e), (b, f), (b, g), (c, a), (c, b), (c, d), (c, e), (c, f), (c, g), (d, a), (d, b), (d, c), (d, e), (d, f), (d, g), (e, a), (e, b), (e, c), (e, d), (e, f), (e, g), (f, a), (f, b), (f, c), (f, d), (f, e), (f, g), (g, a), (g, b), (g, c), (g, d), (g, e), (g, f)} The ordered sample space for selecting two items without replacement from 4 defective items and 20 good items is: {(defective 1, defective 2), (defective 1, good 1), (defective 1, good 2), ..., (good 19, good 20)}. The ordered sample space for selecting two items without replacement from 1 defective item and 20 good items is: {(defective, good 1), (defective, good 2), ..., (good 19, good 20)}

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Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

Here it is given that

\(\displaystyle \sf{f(t) = 50 \: \sin(100\pi t+ 0.4)}\)

Now

\(\displaystyle \sf{f \bigg( \frac{1}{50} + t \bigg) }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[100\pi \bigg( \frac{1}{50} + t \bigg)+ 0.4 \Bigg] }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(100\pi \times \frac{1}{50} + 100\pi t \bigg)+ 0.4 \Bigg] }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(2\pi + 100\pi t \bigg)+ 0.4 \Bigg] } \\ \\ \displaystyle \sf{ = 50 \: \sin ( 100\pi t + 0.4 ) }\)

\(\sf{ = f(t)}\)

Based on the proof, the function \(f(\frac{1}{50} +t)\) is equal to f(t).

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.

Given the following function:

In this exercise, you are required to show that the given function is equal to \(f(\frac{1}{50} +t)\).

Substituting for t, we have:

\(f(\frac{1}{50} +t)=50sin(100 \pi (\frac{1}{50} +t)+0.4)\\\\f(\frac{1}{50} +t)=50sin( \frac{100 \pi}{50} +100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=50sin(100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=f(t)\)

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

width = 10

Step-by-step explanation:

Step-by-step explanation:

P=24

L=2

Perimeter of rectangle is 2(L+W)

24=2(2+W)

24=4+2W

Subtract 4 from both sides you get 20=2W

Now divide by 2 on both sides you get W=10 inches

Answer:

Step-by-step explanation:

The solutions to the quadratic equation x² - 12x + 27 = 0 are x = 3 and x = 9.

Given the quadratic equation in the question:

x² - 12x + 27 = 0

To solve by completing the square:

x² - 12x + 27 = 0

Subtract 27 from both sides:

x² - 12x + 27 - 27 = 0 - 27

x² - 12x = -27

Find the value equal to the square of half of b that is -12:

( -12/2 )² = ( -6 )²

Add this value to both sides of the equation:

x² - 12x + ( -6 )² = -27 + ( -6 )²

x² - 12x + 36 = -27 + 36

x² - 12x + 36 = 9

Factor the perfect trinomial:
( x - 6 )² = 9

Take the square root of both sides:

x - 6  = ±√9

x = 6 ± 3

Hence:

x = 6 - 3 = 3

x = 6 + 3 = 9

Therefore, the values of x are 3 and 9.

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The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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Answer:

x = 3

Step-by-step explanation:

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

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

the answer is D

The figure can be divided into a rectangle and 2 triangles

Let:

d1_2= Distance from 2nd fret to 1st fret

d2_3 = Distance from 2nd fret to 3rd fret

d1_3 = Distance from 1st fret to 3rd fret

so:

\(\text {Hello! Let's Solve this Equation!}\)

\(\text {\underline {The First Step is to Simplify the Equation}}\)

\(\text {b=1 so b/2 becomes 1/2}\)

\(\text {Your New Problem Is: 1/2b-5=13}\)

\(\text {\underline {The Second Step is to Add 5}}\)

\(\text {1/2b-5+5=13+5}\)

\(\text {Your New Problem Is: 1/2b=18}\)

\(\text {\underline {The Final Step is to Multiply 2}}\)

\(\text {2*1/2b}=2*18}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {b=36}\)

\(\text {Best of Luck!}\)

Answer: Below

Step-by-step explanation:

14+(-3) =11+3+(-3)

14+(-3)=11+0

I hope this helped!

The value of f(3) in the given function f(x) = x² + 2 is 11.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The given function f(x) = x² + 2 is defined for all real numbers x greater than zero.

To determine the value of f(3), substitute x=3 into the given function.

f(3) = 3² + 2

f(3) = 9 + 2

Apply the addition operation, and we get

f(3) = 11

Therefore, the value of f(3) in the function f(x) = x² + 2 is 11.

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The complete question is below.

What is the value of f(3) in the function below? explain

f(x) = x² + 2, x∈R, x>0

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

Answer:

2

Step-by-step explanation:

Answer:

45/4

Step-by-step explanation:

15x/8

15(6)/8

90/8

simplify

45/4

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer: Yes, this is a linear function between P and M.

Step-by-step explanation:

We can define a function as a relation between two or more variables, like y = f(x).

This function, maps the elements x (the input) into elements y (the output).

We have a rule for a function: Each input x can be mapped into only one output y.

In this case, we have:

P = 0.15*M + 20.

Let's prove that each value of M is related to only one value of P.

Suppose that, for a given M0, we have:

0.15*M0 + 20 = p1

and also for M0, we have:

0.15*M0 + 20 = p2

This means that p1 = p2, so we can not have different outputs for the same input.

This is a linear relation, so each value of M is related to only one value of P.

Then this is a function P(m) = 0.15*M + 20.

Answer:

x=5×-11

this is the answer

Answer:

Step-by-step explanation:

X=11

X=-5

Answer:

2x-3y<-9

Step-by-step explanation:

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer: 17 packs

Step-by-step explanation: 16 packs of 10 equals 160 beads, and one pack of 5 will give you 164 beads with 1 left over.