The product of the square of a number x and 2 subtracted from 3 is y.

Answer: D) Hypotenuse = 17 m, Adjacent = 15 m, Opposite = 8 m

Answer:

Photo.

Step-by-step explanation:

A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2

B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.

The quantity of meat and cheese sold by the deli according to the description accounts in the task content are; 4.5 and 2.5 pounds respectively.

The quantity of meat sold by the deli as represented by the variable X in the task content can be calculated by solving the systems of equations.

The quantity of cheese sold by the deli as represented by the variable y in the task content can be calculated by solving the systems of equations.

Consequently, solving the system of equations by means of substitution, we have;

y = (30.50-4x)/5

Hence, we have;

11x + 14((30.50-4x)/5) = 84.50

x = 4.5 pounds of meat and

y = 2.5 pounds of cheese.

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Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This would be my answer because of the points you can log at 3 5 and 7

a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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There is sufficient proof to presume that under 77% of messages are spam.

A statistical hypothesis test  is a technique for measurable induction used to conclude whether the information within reach adequately support a specific theory. Speculation testing permits us to offer probabilistic expressions about populace boundaries.

Given the information in the inquiry;

Test size n = 500

x = 361

p₀ = 77% = 0.77

q₀ = 1 - p₀ = 1 - 0.77 = 0.23

p = x/n = 361/500 = 0.722

Speculation;

Null hypothesis H₀ : p ≥ 77% or 0.77

Alternative hypothesis  Hₐ : p ≥ 77% or 0.77

Test Measurement

z = ( p - p₀ )/√( ( p₀ × q₀ )/n )

so we substitute

z = ( 0.722 - 0.77 )/√( ( 0.77 × 0.23 )/500 )

z = - 0.048/√( 0.1771/500 )

z = - 0.048/√0.0003542

z = - 0.048/0.01882

z = - 2.55

so our p-worth will be;

p-value = p( z < - 2.55 ) {from table }

p-value = 0.0054

at 0.05 degree of importance ∝

p-value ( 0.0054 ) is not as much as importance level ∝ ( 0.05 )

Accordingly we Reject Null hypothesis H₀

Thus, there is sufficient proof to presume that under 77% of messages are spam.

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Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

Greetings from Brasil...

Here we will use our knowledge of parallel lines....

→ Angles opposite the vertices are equal, so

1 = 6

2 = 5

3 = 8

4 = 7

9 = 14

10 = 13

11 = 16

12 = 15

→ Corresponding angles are equal, so

1 = 9

2 = 10

3 = 11

4 = 12

Given the information above we can write:

1 = 6 = 9 = 14

2 = 5 = 10 = 13

3 = 8 = 11 = 16

4 = 7 = 12 = 15

from the statement of the question it is said that: 3 = 110° and 10 = 95°, so

2 = 5 = 10 = 13 = 95°

3 = 8 = 11 = 16 = 110°

→ from internal/external collateral angles OR supplementary angles:

1 + 2 = 180°

1 + 95° = 180°

1 = 180° - 95°

1 = 85°

3 + 4 = 180°

110° + 4 = 180°

4 = 180° - 110°

4 = 70°

Now we can say that:

Answ160

Step-by-step explanation:

the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

1. f(x) = x^2 + 5x - 6, at (3, 6)

Answer: y = 8x - 21

f'(x) = 2x + 5

f'(3) = 2(3) + 5 = 11

The equation of the line tangent to the function at (3, 6) is y = 11x - b.

Substitute 6 for y and 3 for x to get 6 = 11(3) - b

Solve for b to get b = 21

Therefore, the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

The equation of the line tangent to the function at (3, 6) is y = 8x - 21. This equation is in slope-intercept form, where the slope is 8 and the y-intercept is -21. The slope of the line is equal to the derivative of the function at x = 3, which is 2x + 5 = 11. Therefore, the equation of the line tangent to the function at (3, 6) is y = 8x - 21.

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Answer:

y - 4 = -3(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h):

y - 4 = -3(x + 1)

Got this answer from another Brainly user:

To solve this problem, let's set up a proportion.

60% = 6/10

Let x represent the total amount of people surveyed (or what we are trying to find)

6/10 = 540/x

To solve this proportion, let's use cross products, or the multiplication of the numerator of one fraction times the denominator of the other fraction and setting them equal to one another.

10(540) = x(6)

Now, let's simplify the resulting equation.

5400 = 6x

Now, let's divide both sides by 6, or the coefficient of x, to get it alone on the right side of the equation.

x= 900

Therefore, if 540 people preferred walking, then 900 people were surveyed.

And I'm guessing that 40% preferred running

The correct statement regarding the mode of the sample is given as follows:

a. can be larger, smaller or equal to the mode of the population.

The mode of a data-set is the observation that appears the most often in the data-set.

The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.

As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,

Hence, option (a) is correct.

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To minimize our double integral, we want to find the region over which the function we are integrating has negative values

x^2 +y^2 − 9</= 0

Solving the inequality

x^2 +y^2 </= 9

We can verify this solution by graphing. f(x,y) = x^2 +y^2 − 9

Our function is a paraboloid. Only the negative values of f(x, y) are graphed here.

We can see that f(x, y) is negative below the circle in the x-y plane given by the formula x^2 + y^2 <= 9. If we were to include any points outside of this region in our integral, we would add positive values of f(x, y) to our double integral and the integral wouldn't be minimized

therefore, R : x^2 +y^2 </= 9

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Answer:

Quantity:: d + q = 59 coins

Value:: 10d+25q = 1205 cents

Step-by-step explanation:

Answer:

The last graph or

Graph C

Step-by-step explanation:

Answer:

the coordinates of the B after reflection....

(6,5)

Answer:6small2−25

Step-by-step explanation:

Answer:

16x² - 25

Step-by-step explanation:

(4x+5)(4x−5)

16x² - 20x + 20x - 25

16x² - 25

Answer:

  La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385

La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Step-by-step explanation:

Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.

Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,

P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =

= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385

Debemos calcular P(B/D). Por el teorema de Bayes,

P(B/D)= P(B) x P(D/B)   /  P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)  

          =        0.35 · 0.04 /     0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05

Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:

0.012

0.0385

P(A/D)= 0.311

0.014

0.0385

P(B(D)=0.363

0.0125

0.0385

P(C/D)=0.324

 La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Therefore, the common difference of the arithmetic sequence is 9.

To find the common difference of an arithmetic sequence, we can use the formula:

a_n = a_1 + (n - 1) * d,

where:

a_n is the nth term of the sequence,

a_1 is the first term of the sequence,

n is the position of the term in the sequence, and

d is the common difference.

Given that a_1 = 2 and a_5 = 38, we can substitute these values into the formula:

a_5 = a_1 + (5 - 1) * d

38 = 2 + 4d

Now we can solve for d:

38 - 2 = 4d

36 = 4d

d = 36 / 4

d = 9

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Answer:

p = \(\frac{3}{2}\) , q = 9

Step-by-step explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2(\(\frac{3}{2}\) )x + \(\frac{9}{4}\) - \(\frac{9}{4}\) )

= 4(x + \(\frac{3}{2}\) )² - 4 × \(\frac{9}{4}\)

= 4(x + \(\frac{3}{2}\) )² - 9

Answer:

Below

Step-by-step explanation:

3% loss means 97% (.97 in decimal ) remains

after 2 years :

 27 900 ( .97)^2 = £  26251 .11

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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The time taken to eat 10 rolls is 7.58 hours.

The person is to eat 1/3 of a roll of Smarties every 0.25 hour.

Let the number of hours to eat 10 roll be x.

This will be illustrated thus:

1/3 / 10 = 0.25 / x

Cross multiply

0.33x = 10 × 0.25

0.33x = 2.5

Divide

x = 2.5 / 0.33

x = 7.58 hours.

The method that was used in this case is the calculation for fractions.

This represents the time taken.

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Answer:

tripling the height (8.4 ft) will triple the volume of the barrel (from 857.39 to 2,572.17)

Step-by-step explanation:

By Tripling the height we can triple the volume of the barrel.

In geometry, a cylinder's volume is referred to as its capacity, which aids in determining how much material it can carry.

Given, A cylindrical barrel has a radius of 5.7 ft and a height of 8.4 ft.

From the general formula of volume of cylinder = πr²*h

The volume of the given cylinder = π * (5.7)² 8.4

The volume of the given cylinder = 856.95 ft³

As we can see that the volume of a cylinder is directly proportional to its height of the cylinder.

Therefore, The barrel's volume can be tripled by tripling the height.

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