Encuentra el valor aproximado de las siguientes operaciones

a)24,01 + 5,89 + 10,12 =

b)5,02 + 7,95 + 10,56 =

c)13,89 + 5,98 + 5,05 =

d)6,48 + 5,89 + 10,52 =

e)54,01 + 8,9 + 7,03 =

f)12,98 + 10,48 + 5,53 =

The relationship between the type 1 error rate (α) and statistical power is inversely proportional. A type 1 error occurs when we reject a true null hypothesis, and statistical power is the ability to correctly reject a false null hypothesis. When we set a lower α value (e.g., 0.01 instead of 0.05), we decrease the chances of making a type 1 error, but we also decrease statistical power. On the other hand, setting a higher α value (e.g., 0.1 instead of 0.05) increases the chances of making a type 1 error, but also increases statistical power. Therefore, researchers must strike a balance between these two values to ensure their study has sufficient power while also minimizing the risk of making false conclusions.

The relationship between type 1 error rate (α) and statistical power is an important concept in statistical hypothesis testing. A type 1 error occurs when we reject a null hypothesis that is actually true. The probability of making a type 1 error is represented by the α level. Statistical power, on the other hand, is the probability of correctly rejecting a false null hypothesis. In other words, it is the ability of a study to detect a significant effect if one exists.

The relationship between α and statistical power is inversely proportional. This means that as α increases, statistical power decreases, and vice versa. If a study sets a lower α value (e.g., 0.01 instead of 0.05), the chances of making a type 1 error decrease. However, this also means that the study may have less statistical power because it is more difficult to reject the null hypothesis. Conversely, if a study sets a higher α value (e.g., 0.1 instead of 0.05), the chances of making a type 1 error increase, but statistical power may increase as well because it is easier to reject the null hypothesis.

In summary, researchers must balance the α level and statistical power when conducting hypothesis testing. A lower α level decreases the chances of making a type 1 error, but also decreases statistical power. A higher α level increases the chances of making a type 1 error, but may increase statistical power. Researchers must consider the importance of minimizing the risk of false conclusions while also maximizing the ability to detect a significant effect.

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The correct option from the given choices is:
3) k = 0.218

The BOD rate constant, k, is a measure of the rate at which the biochemical oxygen demand (BOD) of a waste is consumed. It can be calculated using the BOD5 (BOD after 5 days) and BOD (Lo) (initial BOD) values.

To find the BOD rate constant, we can use the formula:

\(k = (ln(BOD (Lo) / BOD5)) / t\)

Where:
- ln refers to the natural logarithm function
- BOD (Lo) is the initial BOD value (363 mg/L)
- BOD5 is the BOD after 5 days value (210 mg/L)
- t is the time in days (which is 5 days in this case)

Now, let's substitute the values into the formula:

k = (ln(363 / 210)) / 5

Calculating the natural logarithm of (363 / 210):

k = (ln(1.7286)) / 5

k ≈ 0.218

Therefore, the BOD rate constant, k, for this waste is approximately 0.218.

So, the correct option from the given choices is:
3) k = 0.218

the BOD rate constant (k) is a measure of the rate at which the biochemical oxygen demand (BOD) of a waste is consumed. In this case, the BOD5 of the waste is 210 mg/L and the initial BOD (BOD (Lo)) is 363 mg/L. To calculate the BOD rate constant, we use the formula k = (ln(BOD (Lo) / BOD5)) / t, where ln refers to the natural logarithm function, BOD (Lo) is the initial BOD value, BOD5 is the BOD after 5 days value, and t is the time in days. Substituting the given values into the formula, we find that k ≈ 0.218. Therefore, the correct option is 3) k = 0.218. The BOD rate constant gives us insight into how quickly the waste's BOD is being consumed, which is important in environmental and wastewater treatment applications.

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

Let (x,y) be an element of A and B. Then, by definition, x and y are both natural numbers, and mn has a remainder of 0 when divided by m, and m is not equal to 0.

We can show that (x,y) has the property that defines membership of A and B by showing that mn is a multiple of m.

Since mn has a remainder of 0 when divided by m, it follows that mn is divisible by m.

Therefore, (x,y) has the property that defines membership of A and B.

Here is a more detailed explanation of each step:

We know that (x,y) is an element of A, so x and y are both natural numbers.

We also know that (x,y) is an element of B, so mn has a remainder of 0 when divided by m.

Since mn has a remainder of 0 when divided by m, it follows that mn is divisible by m.

Therefore, (x,y) has the property that defines membership of A and B

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Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.

To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.

For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is

\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)

For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)

Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.

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Answer:

Step-by-step explanation:

m<1 = 50

m<2 = 22

m<3 = 108

m<4 = 50

m<5 = 65

m<6 = 50

m<7 = 43

m<8 = 65

m<9 = 75

m<10 = 18

m<11 = 25

m<12 = 40

m<13 = 115

m<14 = 65

m15 = 115

Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Answer:

\(\displaystyle \large{y=x^2-2x-3}\)

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

So what we are going to do is to write the roots’ equation back as \(\displaystyle \large{x+\alpha =0}\)

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

\(\displaystyle \large{(x+1)(x-3)=0}\)

Convert 0 to y since we want to find a function:

\(\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}\)

Expand the expressions in and simplify to standard form:

\(\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}\)

Therefore, the equation is \(\displaystyle \large{y=x^2-2x-3}\)

__________________________________________________________

Summary

If we are given the points \(\displaystyle \large{(\alpha ,0)}\) and \(\displaystyle \large{(\beta ,0)}\) with wideness of the graph or a-value = 1 then the parabola equation is:

\(\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }\)

__________________________________________________________

Others

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The inequality that determine the the number of 120-kilogram crates that can be loaded into the shipping container is 27500 ≤ 14300 + 120x.

The solution of the inequality is 110 ≤ x.

A shipping container will be used to transport several 120-kilogram crates across the country by rail.

The greatest weight that can be loaded into the container is 27500 kilograms.  Other shipments weighing 14300 kilograms have already been loaded into the container.

The inequality to determine x, the number of 120-kilogram crates that can be loaded into the shipping container can be represented as follows:

Therefore,

x = the number of 120-kilogram crates that can be loaded into the shipping container

27500 ≤ 14300 + 120x

Let's solve for x

27500 ≤ 14300 + 120x

27500 - 14300 ≤ 120x

13200 ≤ 120x

divide both sides by 120

13200 ≤ 120x

13200 / 120 ≤ x

110 ≤ x

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

the slope of MN= -5-1/3-(-6)=-2/3

two lines are parallel>> slopes are equal

equation of line = (y-y'=m(x-x'))

therefore, y-1= -2/3(x-6)

y-1 = -2/3x + 4

y+2/3x=5

Answer:

if it is a square, then it is a quadrilateral

Step-by-step explanation:

The sample size of two randomly selected starting defenders from the soccer team shows that they have scored a total of 3 goals. This information suggests that, on average, each defender in the team has a goal-scoring rate of 1.5 goals per season.

By considering a sample size of two defenders, we can calculate the total number of goals scored by summing up their individual goal counts. In this case, the selected defenders have scored 1 and 2 goals, resulting in a total of 3 goals. To estimate the average goal-scoring rate for each defender.

we divide the total goals by the number of defenders in the sample. Since there are two defenders, the average goal-scoring rate per defender is calculated as 3 goals / 2 defenders = 1.5 goals per defender per season. This implies that, on average, each starting defender in the team scores 1.5 goals over the course of a season.

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Answer:

D. -3,-2

Step-by-step explanation:

Let \(x^{2} +5x+6=0=(x+2)(x+3)\\\), then  \(x+2=0\) or \(x+3=0\), thus \(x=-2\) or \(x=-3\)

There are four significant figures in the number 1.032.

Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:

Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.

Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.

Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.

Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.

By applying these rules, we find that the number 1.032 has four significant figures.

The number 1.032 has four significant figures.

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Answer:

c

Step-by-step explanation:

A shows a reflection

B shows a translation

C shows the rotation

Answer:

C

Step-by-step explanation:

Because you can tell that it moved to the left once

The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.

The height of eagle after 7 seconds is 668 feet.

Given that:-

Height of nest = 1284 feet

Speed of the bald eagle = 88 feet/second

Hence, we can write, after s seconds,

Height of eagle after s seconds =  height of the nest - Time (in seconds) * Speed of the eagle

Hence,

h(s) = 1284 - s*88

h(s) = 1284 - 88s.

From the above equation, we can find the height of the eagle after 7 seconds.

h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.

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Answer:

$49.6

Step-by-step explanation:

Given that :

Wholesale price, p = $32

Markup percentage = 55%

Selling price = wholesale price * ( 1 + Markup percentage)

Selling price = $32(1 + 0.55)

Selling price = $32(1.55)

Selling price = $49.6

The average rate of change in revenue as the number of bluetooth speakers sold increases from 20 to 40 units is $34.50 per unit.

To find the average rate of change in revenue, we need to calculate the change in revenue over the change in units sold.

First, let's calculate the revenue for 20 and 40 units sold:

R(20) = 35(20) - 0.01(20)^2 = $670

R(40) = 35(40) - 0.01(40)^2 = $1360

Now we can calculate the change in revenue:

ΔR = R(40) - R(20) = $1360 - $670 = $690

And the change in units sold:

Δx = 40 - 20 = 20

Finally, we can calculate the average rate of change in revenue:

ΔR/Δx = $690/20 = $34.50

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The calculation involves finding the definite integral of 2πy√\((1 + (dy/dx)^2)\) dx over the interval [0, 3/4].

To find the surface area generated when the curve y = 16x - 7 is revolved about the y-axis over the interval [0, 3/4], we can use the formula for the surface area of revolution. The formula is given by:

A = 2π ∫[a,b] y √(1 + (dy/dx)^2) dx

In this case, we need to find the definite integral of y √(\(1 + (dy/dx)^2\)) with respect to x over the interval [0, 3/4].

First, let's find dy/dx by taking the derivative of y = 16x - 7:

dy/dx = 16

Next, we substitute y = 16x - 7 and dy/dx = 16 into the surface area formula:

A = 2π ∫[0, 3/4] (16x - 7) √(1 + 16^2) dx

Simplifying the expression inside the integral:

A = 2π ∫[0, 3/4] (16x - 7)  √257 dx

Now, we can evaluate the integral to find the surface area. Integrating (16x - 7)  √257 with respect to x over the interval [0, 3/4] will give us the exact numerical value of the surface area.

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Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Ndidi rides y km at 10 km/hr, then walks 0.5y km at 3 km/hr. She is away from. home less than 4hours.Range of the values of Y is =24/7

Let's call the total time spent riding and walking t hours. We know that t is less than 4 hours, so:

t = time spent riding + time spent walking < 4 hours

The time spent riding is given by y / 10 km/hr and the time spent walking is given by 0.5y / 3 km/hr. So, we can write the inequality as:

t = y / 10 + 0.5y / 3 < 4

Expanding and simplifying the expression on the left side gives:

7/6y < 4 * 6/7

Multiplying both sides by 6/7 gives:

y < 4 * 6/7 * 6/7 = 24/7

So, the range of values of y is 0 < y < 24/7 km. This means that Ndidi rode less than 24/7 km, but more than 0 km.

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The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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Multiple according to the number 3 is 162 and its submultiple according to the number 7 is 7.

What is called multiplication?

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.

Given that :

One segment measures 161 cm

To find the multiple according to the number 3, divide 161 by 3.

161 ÷ 3 = 53.67

Nearest integer of 53.67 is 54

The multiple according to the number 3 = 54 × 3

                                                                   = 162

To find the submultiple according to the number 7, divide 161 by 7.

161 ÷7 = 23

Nearest integer of 23 is 23

The submultiple according to the number 7 = 161 ÷ 23

                                                                          = 7

Multiple according to the number 3 is 162 and its submultiple according to the number 7 is 7.

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Answer:

2x+20

Step-by-step explanation:

Given

Age of Ethen = x

If Raj is 8 years older than Ethen, then;

Raj = x + 8

6 years time

Ethen age = x+ 6

Raj = x+8+6 = x+14

Sum of ages in 6 years time = x+6+x+14

Sum of ages in 6 years time = 2x + 20

Hence the required sum of ages is 2x+20

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

the missing side is √65

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

√65 = √c^2

√65 = c