90%; n = 10; σ is unknown; population appears to be normally distributed

Step-by-step explanation:

8400×6/100=504

3600×6/100=216

504+216=720

Answer: 50% would be the correct answer.

The pay at the restaurant’s register, including sales tax and tip will be $ 57.475.

The sales tax amount = 47.50 × 6%

Calculating percentage on Right Hand Side of the equation

The sales tax amount = 2.85

Total amount of bill and sales tax = 47.50 + 2.85

Performing addition on Right Hand Side of the equation

Total amount of bill and sales tax = $50.35

Tip amount = 47.50 × 15%

Performing multiplication on Right Hand Side of the equation

Tip amount = 7.125

Total amount of bill and sales tax = 50.35 + 7.125

Performing addition on Right Hand Side of the equation

Total amount of bill and sales tax = $57.475

Hence, the total pay is $ 57.475.

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Answer:

y = 9/4x - 26

Step-by-step explanation:

9x - 4y= 7

-4y = -9x + 7

y = 9/4x - 7/3

y = 9/4x + b

-8 = 9/4(8) + b

-8 = 18 + b

-26 = b

Answer:

Between -3 and -2, but closer to -2

Step-by-step explanation:

The square root of 45 is approximately 6.708.

Subtract 9 from that and you get -2.292.

-2.292 is between -3 and -2, but is closer to -2.

Answer:

$5.40

Step-by-step explanation:

A tax is a compulsory sum levied by the government or an agency of the government on goods and services. Taxes increase the price of good. The items bought would increase by 8%

Tax paid by Dave = 0.08 x $15 = $1.2

total price paid by Dave = 1.2 + $15 = $16.2

Tax paid by Mel = 0.08 x $20 = $1.6

total price paid by Mel = $20 + $1.6 = $21.60

Difference in prices

21.6 -16.2 = $5.40

Answer:

2.93

Step-by-step explanation:

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

x = 3^ √ k − y ^3 − z ^3

y = ^3 √ k − x ^3 − z ^3

z = ^3 √ k − x ^3 − y^3

k = x ^3 + y ^3 + z ^3

Step-by-step explanation:

hope this helped (^3= to the third power:))

Step-by-step explanation:

Using the modified picture attached to this answer;

Parameters

x = Angle X

8 = x

19 = y

14 = z

Therefore,

Using Cosine rule

x² = y² + z² - 2·y·z·cos X

Masking Cos X the subject of the formula,

Cos X = (y² + z² - x²) / (2·y·z)

Cos X = (19² + 14² - 8²) / (2·19·14)

Cos X = (361 + 196 - 64) / 532

Cos X = (557 -64) / 532

Cos X = 493 / 532

Cos X = 0.92669

But, since we are looking for angle X, we have to divide both sides by Cos, therefore having;

X = Cos-¹ [0.92669]

Since 1 / Cos = Cos-¹

Therefore,

X = 22.075

And since x, our unknown, is equal to angle X, then,

x = 22.1 (to the nearest tenth)

a. The best data type for the number of siblings would be an integer.

An example of a typical value for this variable would be 3, as someone might have 3 siblings. An integer is the best data type because the number of siblings is a whole number and can never be a fraction or a negative number.

b. The best data type for the final grade in this class would be a floating-point number. An example of a typical value for this variable would be 85.5, as a final grade may include decimal points. A floating-point number is the best data type because a final grade can have a decimal point and may include fractions.

c. The best data type for the population of Earth would be a long integer. An example of a typical value for this variable would be 7,794,798,739, as of the year 2020. A long integer is the best data type because the population of Earth is a large number and cannot be expressed using a regular integer.

d. The best data type for the population of a U.S. county would be an integer. An example of a typical value for this variable would be 100,000, as the population of a county can vary greatly. An integer is the best data type because the population of a county is a whole number and can never be a fraction or a negative number.

e. The best data type for the number of passengers on a bus would be an integer. An example of a typical value for this variable would be 20, as a bus can carry a varying number of passengers. An integer is the best data type because the number of passengers on a bus is a whole number and can never be a fraction or a negative number.

f. The best data type for one player's score in a Scrabble game would be an integer. An example of a typical value for this variable would be 45, as a score in Scrabble is calculated in whole numbers. An integer is the best data type because a score in Scrabble is a whole number and can never be a fraction or a negative number.

g. The best data type for one team's score in a Major League Baseball game would be an integer. An example of a typical value for this variable would be 7, as a team's score is calculated in whole numbers. An integer is the best data type because a team's score is a whole number and can never be a fraction or a negative number.

h. The best data type for the year a historical event occurred would be an integer. An example of a typical value for this variable would be 1776, as the year the United States declared independence. An integer is the best data type because a year is a whole number and can never be a fraction or a negative number.

i. The best data type for the number of legs on an animal would be an integer. An example of a typical value for this variable would be 4, as many animals have four legs. An integer is the best data type because the number of legs an animal has is a whole number and can never be a fraction or a negative number.

j. The best data type for the price of an automobile would be a floating-point number. An example of a typical value for this variable would be $25,000.50, as a price for a car can include decimal points. A floating-point number is the best data type because the price of a car can have a decimal point and may include fractions.

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Answer:

x=37

Step-by-step explanation:

Area of triangle = x+x+x=180
= 78+65+x=180
=143+x=180
=x=180-143 (bring 143 to the otherside)
x=37

In the given figure, We are to find the respective value of x .

Solution :

We know that,

Sum of all the angles of the triangle = 180°

So,

\( \qquad \sf \dashrightarrow{ x {}^{ \circ} + 65 ^{ \circ} +78 ^{ \circ} = 180}\)

\( \qquad \sf \dashrightarrow{ x ^{ \circ} + 143^{ \circ} = 180^{ \circ}}\)

\( \qquad \sf \dashrightarrow{ x ^{ \circ} = 180^{ \circ}} - 143^{ \circ}\)

\( \qquad \bf \dashrightarrow{ x ^{ \circ} = 37^{ \circ}}\)

Therefore, The value of x is 37°

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

The Highest Common Factor is 20

Step-by-step explanation:

Aquí le mostraremos paso a paso como hallar el Máximo Común Divisor de 120 y 180. (mcd de 120 y 180) Paso 1: Creamos una lista de todos los divisores de 120, que incluye 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, y 120. Paso 2: Siguiente, creamos una lista de todos los divisores de 180, que incluye 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, y 180. Paso 3: Finalmente, comparamos las listas de Paso 1 y Paso 2 y hallamos que el mayor número que tienen en común es 60. Esto significa que el Máximo Común Divisor de 120 y 180 es 60. MCD de 120 y 180 = 60

Answer:

36

Step-by-step explanation:

Answer:

Solution,

X = 16 [ Given]

Now,

\(x - ( - 20)\)

Plugging the value of X

\(16 - ( - 20)\)

\( = 16 + 20\)

\( = 36\)

Hope this helps..

Good luck on your assignment..

Answer:

Horizontal length: \(s_{1}=x-5\)

Vertical length: \(s_{2}=y-7\)

Step-by-step explanation:

The horizontal side has a length given by:

\(s_{1}=x-5\)

and the vertical length will be:

\(s_{2}=y-7\)

Therefore, we have a triangle with horizontal and vertical length as s(1) and s(2).

I hope it helps you!

The directional derivative of the function f(x, y) = 3ex sin y at the point (0, π/3) in the direction of the vector v = <0, -5, 12> is -15/26.

To find the directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector v = <u, v>, we use the following formula:

Dv(f)(a, b) = ∇f(a, b) · v

where ∇f(a, b) is the gradient of f(x, y) at the point (a, b). The gradient is a vector that points in the direction of the steepest increase of the function and has a magnitude equal to the rate of change of the function in that direction.

In this problem, our function is f(x, y) = 3ex sin y, and the point is (0, π/3). The gradient of the function is:

∇f(x, y) = <∂f/∂x, ∂f/∂y> = <3ex sin y, 3ex cos y>

Evaluating the gradient at the point (0, π/3), we get:

∇f(0, π/3) = <3e0 sin (π/3), 3e0 cos (π/3)> = <0, 3/2>

Next, we need to find the unit vector in the direction of v = <0, -5, 12>. To do this, we first find the magnitude of v:

|v| = √(0² + (-5)² + 12²) = 13

Then, we divide v by its magnitude to get the unit vector:

u = v/|v| = <0, -5/13, 12/13>

Finally, we can use the formula for the directional derivative to find Dv(f)(0, π/3):

Dv(f)(0, π/3) = ∇f(0, π/3) · u = <0, 3/2> · <0, -5/13, 12/13> = -15/26

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The value derivative of the function of f'(6) is  403.42879 and f'(7) is 1096.633.

To find the derivative of the function f(x) = ex + 3, we can use the basic rules of differentiation. Let's calculate the derivatives step by step.

(a) Find f'(6):

To find the derivative at a specific point, we can use the formula:

f'(x) = d/dx [ex + 3]

The derivative of ex is ex, and the derivative of a constant (3) is 0. Therefore, the derivative of f(x) = ex + 3 is:

f'(x) = ex

Now, we can find f'(6) by plugging in x = 6:

f'(6) = e^6 ≈ 403.42879 (rounded to 6 decimal places)

So, f'(6) ≈ 403.42879.

(b) Find f'(7):

Using the same derivative formula, we have:

f'(x) = d/dx [ex + 3]

f'(x) = ex

Now, we can find f'(7) by plugging in x = 7:

f'(7) = e^7 ≈ 1096.63316 (rounded to 6 decimal places)

So, f'(7) ≈ 1096.633.

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The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

Pair is a set of two related items, usually of the same type. For example, a pair of shoes, a pair of gloves, a pair of socks, a pair of jeans, a pair of scissors, or a pair of sunglasses. Pairs are often used in mathematics and statistics, where the two elements are usually referred to as X and Y.

There are 18 possible ways to choose a pair of socks from your drawer: 8 possibilities for choosing a pair of white socks, 6 for brown, and 4 for blue. Given that you have to choose two socks of the same color, you can only choose a pair of socks from one of the three colors, so the total number of ways to choose a pair of socks is 8 + 6 + 4 = 18.

In each case, you have two options to choose from: either choose a matching pair of socks, or choose two different socks of the same color. The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

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The critical value for a left-tailed test is -1.28.

Considering the values given in the question,

Level of significance(α) = 0.10

This indicates that the equation is satisfied by the critical value Zc:

P(Z<Zc) = 0.10

This critical value needs to be looked up in a standard normal distribution probability table (or an applet or software).

The value for this critical value is Zc= -1.28

Therefore, A left-tailed test has a critical value of -1.28.

A critical value delimits areas of a test statistic's sampling distribution. Both confidence intervals and hypothesis tests depend on these values. Critical values in hypothesis testing indicate whether the outcomes are statistically significant. They assist in calculating the upper and lower bounds for confidence intervals.

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Answer:

y = 3/2x + 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is 3x - 2y = 2. First, let's put this into standard form.

3x - 2y = 2

Add 2y to both sides to make y positive.

3x = 2y + 2

Subtract 2 from both sides to isolate y.

3x - 2 = 2y

Isolate y further by dividing both sides by 2.

3/2x - 1 = y or y = 3/2x - 1

This is now your first line. Its slope is 3/2. A line parallel to this one will also have a slope of 3/2.

Plug this value (3/2) into your standard point-slope equation of y = mx + b.

y = 3/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/2(-6) + b

To find b, multiply the slope and the input of x (-6)

-2 = -9 + b

Now, add 9 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 3/2x + 7

This equation is parallel to your given equation (y = 3/2x - 1) and contains point (-6, -2)

Hope this helps!

Answer:

5/12

Step-by-step explanation:

You have to make it a common denomator and then subract until equeal.

Answer:

5/12

Step-by-step explanation:

X + 1/3 = 3/4

= X + 4/12 = 9/12

X = 9/12 - 4/12 = 5/12

Answer: 18

Step-by-step explanation:

Answer: $9.76

Step-by-step explanation: If you multiply f, the order of fries (5) by the cost of it ($1.08) you would get $5.40 & if you multiply d, the order of drinks (4) by the cost of it ($1.09) you would get $4.36. If you add up both the total numbers, you would get a final answer of $9.76.

Answer:

$9.76

Step-by-step explanation:

1.08f + 1.09d= Total

1.08(5)+1.09(4)= Total

5.40+4.36= Total

Answer:

4 seconds

Step-by-step explanation:

Answer:

B

18

35

harus di cari sendiri jalannya

To perform the calculation, we need to take the cube root of the given value, considering the absolute uncertainty.  The correct absolute uncertainty for the answer is approximately 0.010.

To determine the absolute uncertainty of the result, we need to consider the maximum and minimum values that the expression could take within the given uncertainty range.

Maximum value:

Using the upper bound of the uncertainty, the expression becomes:

[\((8.47+0.06)^{1/3}\) ≈ 2.057

Minimum value:

Using the lower bound of the uncertainty, the expression becomes:

[\((8.47+0.06)^{1/3}\)] ≈ 2.047

Therefore, the absolute uncertainty is the difference between the maximum and minimum values:

Absolute uncertainty = Maximum value - Minimum value

                   = 2.057 - 2.047

                   = 0.010

So, the correct absolute uncertainty for the answer is approximately 0.010.

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Answer

6

we keep subtracting by 6

12-6 = 6

A = 6

Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.

This procedure is justified by the distributive property.

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

When we need to multiply a number by the sum of two numbers, the distributive property of multiplication over addition comes into play. Let's multiply 7 by the sum of 20 plus 3 as an illustration. This can be expressed mathematically as 7(20 + 3).

The distributive rule of multiplication over addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed. Both addition and subtraction are under the scope of the distributive law.

Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.

This procedure is justified by the distributive property.

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