what percent of 30 is 27? ​

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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The argument presented in the statement is not valid. It is based on an incorrect premise. The original statement posits that if all things work together for good, one should not regret the occurrence of tragic events.

This statement is incorrect because the occurrence of tragic events can never be seen as a good thing, irrespective of the outcome. Therefore, the argument is unsound, and it cannot be used to prove the point that all things do not work together for good.

The occurrence of tragic events can never be seen as a good thing. While it is true that some good can come out of tragic events, such as a sense of community, unity, and strength, it does not negate the pain and suffering caused by the event.

Thus, the conclusion drawn from the argument, that all things do not work together for good, cannot be justified based on the premise presented in the statement. In conclusion, the argument presented in the statement is based on an incorrect premise and is, therefore, invalid.

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Answer: my answer for dat will be sin 16 degrees

Step-by-step explanation:

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

7/3

Decimal Form:

2.¯3

Mixed Number Form:

2/1/3

Answer:

7/3 or 2 1/3

Step-by-step explanation:

2 2/3 - 1/3   -- make 2 2/3 an improper fraction

8/3 - 1/3   -- then subtract

7/3   -- simplify if needed

2 1/3

Hope this helped :)

The volume of a parallelepiped is a scalar quantity that represents the amount of space enclosed by its sides. In this case, the volume is given as 1,



To find the volume of a parallelepiped, we can use the scalar triple product of the vectors representing its sides. In this case, the sides of the parallelepiped are given by the vectors i, 8j - k, and 9i + 7j - k.

Using the scalar triple product formula, the volume V is given by:

V = |i ⋅ (8j - k) × (9i + 7j - k)|

Expanding the expression, we have:

V = |i ⋅ (8j - k) × (9i + 7j - k)|

= |(8i ⋅ (9i + 7j - k)) - ((8j - k) ⋅ (9i + 7j - k))|

Simplifying further:

V = |(72i ⋅ i) + (56i ⋅ j) - (8i ⋅ k) - (72j ⋅ j) + (8j ⋅ k) - (k ⋅ k)|

= |72 + 0 - 0 - 72 + 0 - 1|

= | -1 |

Therefore, the volume of the parallelepiped is 1.

it means that the parallelepiped has a volume of 1 unit. It is important to note that the volume of a parallelepiped can be negative if the orientation of the sides is such that they form a left-handed coordinate system. In this case, the volume is positive, indicating a right-handed coordinate system.

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To evaluate the definite integral ∫₀¹ g(x)²f(x) dx, we use integration by parts and the given relationship between f'(x) and g(x). The result is [1/3g(x)³f(x)] from 0 to 1, which simplifies to (1/3)[g(1)³f(1) - g(0)³f(0)].

We are given f'(x) = 3g(x), which implies that f(x) = ∫ 3g(x) dx. Using integration by parts, we can rewrite the integral as ∫ g(x)²f(x) dx = ∫ g(x)²(∫ 3g(x) dx) dx. By reversing the order of integration, we have ∫ ∫ g(x)²(3g(x)) dx dx = ∫ ∫ 3g(x)³ dx .

Applying the fundamental theorem of calculus, we can evaluate the integral of g(x)³ with respect to x. The inner integral ∫ 3g(x)³ dx becomes [g(x)³/3] evaluated from 0 to 1. Thus, we have ∫ 3g(x)³ dx = [g(1)³/3 - g(0)³/3].

Finally, we substitute the limits of integration into the expression and simplify: [g(1)³/3 - g(0)³/3] = (1/3)[g(1)³ - g(0)³]. Since f(0) = 1 and f(1) = -1, and we know f'(x) = 3g(x), we can substitute f(0) and f(1) to obtain (1/3)[g(1)³ - g(0)³] = (1/3)[(-1)³ - (1)³] = (1/3)(-1 - 1) = -2/3.

Therefore, the value of the definite integral ∫₀¹ g(x)²f(x) dx is -2/3.

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The measure of the missing angles are

x = 135°

y = 45°

An Octagon is a polygon that has eight sides

To calculate the measure of the missing angle in the octagon, we use the formula below

Formula:

Where:

From the diagram,

Substitute these values into equation 1

Also,

Substitute the value sof x into equation 2

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Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

\(C=2\pi r\)

We can substitute 6 in for "r" and 3.14 for "π":

\(C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^\)

the Pearson product moment correlation measures the linear relationship between two interval- and/or ratio-scaled variables (scale variables) such as those depicted conceptually by scatter diagrams: True.

A measure of the degree and direction of relationship between two variables assessed on at least an interval scale is the Pearson product-moment correlation coefficient, or Pearson's correlation.

If you want to determine whether there is a linear relationship between two quantitative variables, you may use Pearson's correlation. The expectation of a linear relationship between those variables is the sole part of the study hypothesis.

This approach finds the precise amount or degree of correlation between any two variables and tells if there is or is not any correlation between them.

Thus, the given statement is true.

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Answer:

$5.00

Step-by-step explanation:

6.50-1.50=5

or

1.50+5=6.50

where each donut is about $1.67

Answer:

The simplified polynomial is x^3 y^2 -x^2 y^3 +xy

The value is -186

Step-by-step explanation:

The value of given polynomial for given x and y value is -180.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

The given polynomial is x²yxy-xy²xy.

Here, x=-3 and y=2

Now, (-3)²×2×(-3)×2-(-3)×2²×(-3)×2

= -108-72

= -180

Therefore, the value of given polynomial is -180.

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Systematic risk is the type of risk for which you can be rewarded with a higher expected return.

So, the correct answer is A

Systematic risk, also known as market risk or non-diversifiable risk, affects the entire market and cannot be eliminated through diversification.

Investors are compensated for taking on systematic risk through higher expected returns as they bear the fluctuations and uncertainties associated with the overall market.

In contrast, firm-specific, diversifiable, and idiosyncratic risks are specific to individual companies or industries and can be mitigated through diversification in an investment portfolio, so investors don't get rewarded with higher expected returns for these types of risks

Hence, the answer of the question is A.

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Answer:

45 - x

Step-by-step explanation:

Number of learners is number in class minus those absent , that is

number of learners = 45 - x

Answer: -2/3

Step-by-step explanation:

Using Algebra operation,

the total revenue from ticket sales on that day is $ 3444..

We have given the following information,

timing of museum for entry is 9:00 am to 5:55pm. i.e 8 hours 55 minutes .

price of ticket for a regular admission= $10

price of ticket for a student admission = $6

30 people's admission in every 5 minutes so,

inclusive there are 9×12=108 five-minute intervals, total of tickets were sold = 108× 30

= 3240

let x student and 3x regular tickets were sold on that day.

then, x+3x= 108× 30 –> x= 3240/4 = 810

put x= 7560 in above formula, for regular admission, 3x=3× 81 = 243

So, the total revenue from ticket sales that day was 243×$10 + 810×$6 = $2430 + $4860

= $7290

Hence, total revenue from tickect sales is $7290.

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Answer:

We need to know the other marbles in the bag and how many there are of each.

Answer:

21kg

Step-by-step explanation:

We will do this.

11x - 12 = 7x

11x - 4x = 7x

4x = 12

4x/4 = 12/4

x = 3

3 x 7 = 21

Laura weighs 21 kg.

Answer:

MEAN = 14 (AS PER ESTIMATION)

MEDIAN = 17

Step-by-step explanation:

Mean=Sum of terms/No.of terms

Then,

→13+16+14+17+17+8+16/ = 101/7 = 14.428571....…

Median = The middle number

= 17

Answer:

≈0.68

Step-by-step explanation:

with what u have u can get \(cos G^{-1}\)

so it will be equal \(\sqrt43\)/9 =43°13'49.75"

now u can get the sine

sin 43°13'49.75" ≈ 0.68

To determine the probability that Lisa will win the dinner for two, we need to compare the number of cookies she bought to the total number of cookies sold.

The total number of cookies sold is 717, and Lisa bought 31 cookies. Therefore, the probability that Lisa's cookie will be chosen as the winner depends on the ratio of the number of cookies she bought to the total number of cookies sold.

Probability = Number of Lisa's Cookies / Total Number of Cookies Sold

Probability = 31 / 717

Probability ≈ 0.0432

Therefore, the probability that Lisa will win the dinner for two is approximately 0.0432 or 4.32%.

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Answer:

Each member of a team plays his or her position well.

Step-by-step explanation:

This leads to everyone trying their best.

the problem requires the calculation of the net gravitational force acting on a point P placed on the y-axis, at a distance of 360 cm from the origin and between the two outer masses. The force will be attractive and parallel to the x-axis.

Let's consider an elemental mass dm located on the x-axis at a distance x from the origin. Its mass is dm=5600 kg. The distance of P from dm is R = sqrt(x^2 + 360^2).The gravitational force acting on dm and directed towards P is dF = G(5600)(360)/R^2, where G is the gravitational constant. The horizontal components of dF cancel out in pairs, while the vertical ones add up to Fy = G(5600)(360)sin(arctan(x/360))/R^2.The sum of all the forces on P, with x ranging from -100 to 410 cm, is Fy = G(5600)(360)[sin(arctan(-1/3.6))/9 + sin(arctan(0))/36 + sin(arctan(4.1/3.6))/16] N.answer in more than 100 wordsThe numerical value of Fy is Fy = 8.65 × 10^-8 N.

Thus,  three identical very dense masses of 5600 kg each placed on the x-axis, respectively at x = -100 cm, x = 0 cm, and x = 410 cm, attract a point P placed on the y-axis at a distance of 360 cm from the origin with a net gravitational force of 8.65 × 10^-8 N, directed towards the x-axis.

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The center of mass is at x=   103.33 cm

If we have N masses {m₁, m₂, ...} , each one with the position {x₁, x₂, ...}

The center of mass is at:

CM = (x₁*m₁ + x₂*m₂ + ...)/(m₁ + ...)

Here we have 3 equal masses M = 5600kg , and the positions are:

x₁ = 0cm

x₂ = -100cm

x₃ = 410cm

Then the center of mass is at:

CM = 5,600kg*(0cm - 100cm + 410cm)/(3*5,600kg)

CM = 310cm/3 = 103.33 cm

That is the center of mass.

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Complete question:

"three identical very dense masses of 5600 kg each are placed on the x axis. one mass is at x = -100 cm, one is at the origin, and one is at x = 410 cm, find the center of mass".

The angles of a triangle all add up to 180º.

You need to set up and solve the equation:

84+48+3h = 180

Answer:

Profit = $200

Step-by-step explanation:

Total revenue = $9,500

Fixed expenses = $9,000

Variable expenses = $300

Total expenses = Fixed expenses + Variable expenses

= $9,000 + $300

= $9,300

Total expenses = $9,300

Profit is when revenue is greater than expenses

Loss is when revenue is less than expenses

Mia made profit because her revenue is more than her expenses

Profit = Revenue - Expenses

= $9,500 - $9,300

= $200

Profit = $200

Answer:

18 yards in 3 feet

Step-by-step explanation:

54 / 3 = 18

Answer:

so here is the answer. Hope it helps.