La literatura consiste en una forma de escribir en la cual se violenta organizadamente el lenguaje ordinario.

Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.

The inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget is 60.50 + 5x ≤ 75.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Jaya pays a flat cost of $60.50 per month and $5 per gigabyte and  keep her bill under $75 per month.

According to given question we have

Let the cost of  gigabyte be x

flat cost =$60.50 per month

Budget=  $75 per month

i.e

60.50 + 5x ≤ 75

Therefore, the inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget is 60.50 + 5x ≤ 75.

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The students will get 28 games if they don't ride any rides.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of the two equations is known as an equation in algebra.

For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between two phrases that . on opposite sides of a letter. Frequently, the logo along with the particular program are identical. as in 2x - 4 = 2, for example.

Given that: Let the number of games, x, and the number of rides, y For x+4y=28,

Given that they don't have any rides so the value of y will be 0

Given equation is x + 4y =28,

now the value of y is 0

number of games will be x + 4 (0) = 28 ⇒ x + 0 = 28

So, x =  28

Thus, The students will get 28 games if they don't ride any rides.

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120.39% increase in the volume of the cylinder.

Solution:

Let the radius of the original cylinder = r cm and height = h cm.

Original volume = πr²h

New radius of cylinder after increase =  \(\frac{110}{100} r = 1.1r\\\)

New height of cylinder after decrease = \(\frac{99.5}{100}h = 0.995h\)

Now, new volume of the cylinder =  π × (1.1r)² × 0.995h

                                                        = 1.2039πr²h

% increase = \(\frac{ChangeinVolume}{OriginalVolume}\) × 100

                  = (1.2039πr²h /  πr²h ) × 100

% increase =   120.39 %

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

Three-hundred twenty six thousandths

Step-by-step explanation:

3 x 1/10 + 2 x 1/100 + 6 x 1/1000

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

35 + 9.95x = 15 + 13.95x

Where x is the number of gigabytes used in a month.

The number of gigabytes after which the charges at both of them for one month are the same is 5.

O[ption D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

South plains:

Charge per month = $35

Charge per gigabyte = $9.95

Total charges in a month after using x gigabyte.

= 35 + 9.95x

Tumbleweed cellular:

Charge per month = $15

Charge per gigabyte = $13.95

Total charges in a month after using x gigabyte.

= 15 + 13.95x

Now,

The number of gigabytes after which the charges at both of them is the same.

35 + 9.95x = 15 + 13.95x

Combining the like terms.

35 - 15 = 13.95x - 9.95x

20 = 4x

x = 20/4

x = 5

Thus,

The number of gigabytes after which the charges at both of them for one month are the same is 5.

Option D is the correct answer.

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Answer:

Step-by-step explanation:

y = -3x^2 + 18

aof: 0/(-3)(2)= 0/-6 = 0

-3(0)^2 + 18 = 0 + 18 =18

(0, 18) is the vertex

a) The probability of a randomly selected diner waits less than 8 minutes for a table is 0.4

b) The probability of a randomly selected diner waits more than 1.5 minutes is 0.925

Given, wait times of between 0 and 20 minutes at a local restaurant follow a uniform distribution.

The probability density function of a uniform distribution is given by

f(x) = {1/(b-a)} where a ≤ x ≤ b

where a = 0 and b = 20

Therefore, the probability density function of f(x) = 1/20 for 0 ≤ x ≤ 20

For the  probability that a randomly selected diner waits between 2 and 7.5 minutes for a table, we need to find the area under the curve from x = 2 to x = 7.5

∴ P(2 ≤ x ≤ 7.5) = ∫₂⁷.⁵(1/20) dx

= 5.5/20 ⇒ 0.275

a) We need to find the area under the curve from x = 0 to x = 8

∴ P(x < 8) = ∫₀⁸(1/20) dx

= 8/20 ⇒ 0.4

b) We need to find the area under the curve from x = 1.5 to x = 20

∴ P(x > 1.5) = ∫₁.₅²⁰(1/20) dx

= 18.5/20 ⇒ 0.925

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The given linear equation (1/3)x+ y=2 in the slope-intercept form is

y=(-1/3)x+2.

Where m is the slope and b is the y-intercept, the slope-intercept form is represented as y = mx+ b. By utilizing y=mx+ b, a line is typically simple to graph. The point-slope form and standard form of linear equations are further types. Example 1: A line with a slope of 1/2 and a y-axis crossing at (0, -3). Calculate the line's equation. It is y = x/2 - 3 that determines the line's equation. Example 2: Determine the equation utilizing the y-y-intercept axis's and the horizontal line's slope intercept formula (0, 8).

Finding the slope between two points on a line and then solving for the y-intercept in the slope-intercept equation y=mx+ b allow us to build an equation for that line.

Given linear equation is:

(1/3)x+ y=2

The following is the slope-intercept form of the given linear equation:

y=(-1/3)x+2

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Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

\(\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}\)

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

⠀⠀⠀⠀

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

we have to find the greater number between 15/20 and 35/40

To do this,

we have to compare the denominator same.

According to the question,

we have to find the greatest one

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

⠀⠀

\(\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }\)

⠀⠀

Answer:

hi

x+102° =180°[ Being cointerior angle]

x=180°-102°

x=78°

Also,

y=102°[ the opposite angle of parallelogram are equal]

z=78°[ the opposite of parallelogram are equal]

Hence, x=78°,y=102° and z=78°

Answer:

y^6

Step-by-step explanation:

When multiplying terms with exponents that have the same base, the rule is to add the exponents. y * y^3 * y^2 = y^(1 + 3 + 2). (remember that y has a hidden exponent of 1, we just don't write that because it is redundant and unnecessary). y^(1 + 3 + 2) = y^6

hope this helps! <3

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

\(\cfrac{5}{6}\div 5\implies \cfrac{5}{6}\div \cfrac{5}{1}\implies \cfrac{5}{6}\cdot \cfrac{1}{5}\implies \cfrac{1}{6}\cdot \cfrac{5}{5}\implies \cfrac{1}{6}\cdot 1\implies \cfrac{1}{6}\)

Answer:

152in^2

Step-by-step explanation:

12x6=72

8x10=80

80+72=152

Answer:

152 in

Step-by-step explanation:

Use the attachment to see what I mean by shape A and B:

Shape A's area is : 6×20 = 120 in

Shape B's area is : 8×4=32 in

Adding the two shapes gives you a total of 152 in

To find the function values, we need to substitute the given values of x into the function:

a) f(2) = 95(0.84)^2 ≈ 66.96

This means that after 2 hours, there are approximately 66.96 milligrams of medicine remaining in the person's bloodstream.

b) f(6) = 95(0.84)^6 ≈ 35.33

This means that after 6 hours, there are approximately 35.33 milligrams of medicine remaining in the person's bloodstream.

To determine an appropriate domain for the function, we need to consider the context of the problem. The function represents the amount of medicine remaining in a person's bloodstream after taking a dose of medication, so the domain should be the set of non-negative real numbers, since the amount of medicine cannot be negative and time cannot be negative. Therefore, an appropriate domain for the function is [0, ∞).

Interpretation: The function f(x) = 95(0.84)^x models the amount of medicine, in milligrams, remaining in a person's bloodstream after x hours of taking the medication. For example, after 2 hours, there are approximately 66.96 milligrams of medicine remaining in the person's bloodstream.

After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function

To find:

Interpret the given function values and determine an appropriate domain for the function.

Solution:

The general form of an exponential function is

Where, a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.

We have,

Here, 110 is the initial value and 0.83 is the decay factor.

It means, the amount of medicine in the person's bloodstream after taking the dose is 110 milligrams and the amount of medicine decreasing in the person's bloodstream with the decay factor 0.83 or decreasing at the rate of (1-0.83)=0.17=17%.

We know that an exponential function is defined for all real values of x but the time cannot be negative. So, x must be non negative.

We know that  for any value of x. So,  for all values of x.

Therefore, domain of the function is  and the range is .

Hope this helps!!!

GTPex-

9514 1404 393

Answer:

  796.5 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height.

Here, the base is a square, so its area is the square of the side length:

  B = (15 cm)² = 225 cm²

Then the volume is ...

  V = (1/3)(225 cm²)(10.62 cm) = 796.5 cm³

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

complete the question

Step-by-step explanation:

What do you want to ask

Answer:

\(\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }\)

Step-by-step explanation:

hello,

\(2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2\)

hope this helps

0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

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Answer:

8 is the maximum he can get.

Step-by-step explanation:

Good luck!

Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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