Find the slope of the line passing through each of the following pairs of points.

(5, 0), (−3, 0)

Answer:

standard form: 66937

scientific notation: 6.6937 * 10^4

Step-by-step explanation:

first, convert both answers to standard form: 6.7 * 10^4 = 67000 and 6.3 * 10 = 63

67000 - 63 = 66937

if you want the answer in scientific notation, it is 6.6937 * 10^4

hope this helps! <3

For a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.

This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.

The normal distribution is characterized by its bell-shaped curve, which is symmetric around the mean. The mean is also the midpoint of the curve, and the curve approaches but never touches the horizontal axis. The standard deviation of the distribution controls the spread of the curve.

In a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.

This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.

This means that if we have a normal distribution with a mean of μ and a standard deviation of σ, the probability of a value falling between μ+zσ and μ is the same as the probability of a value falling between μ-zσ and μ.

This property of the normal distribution makes it easy to compute probabilities for any range of values, by transforming them into standard units using the z-score formula.

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Answer:

B) on a circle with radius 2

Step-by-step explanation:

got it right on edge :)

The 4th roots of 16i is located b) on a circle with radius 2

The complex number is given as:

Number = 16i

Take the fourth root

\(Root = \sqrt{16i\)

Take the fourth root of 16

\(Root = 2\sqrt{i\)

The number before the radicand represents the circle radius

Hence, the 4th roots of 16i is located b) on a circle with radius 2

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Answer:

I'm love this question... I'm a huge gamer myself.

Anyway.. I would say it depends on the year.

(a) Around 15.87% of kernels fail to pop in 2 minutes. (b) Approximately 0.15% fail to pop in 3 minutes. (c) To achieve 95% pop rate, allow around 199.533 seconds. (d) For a 99% pop rate, allow approximately 226.653 seconds.

(a) To find the percentage of kernels that fail to pop after 2 minutes of cooking, we need to calculate the area under the normal distribution curve to the left of 2 minutes (120 seconds). By standardizing the value using the z-score formula and referring to the standard normal distribution table or using statistical software, we can find the corresponding percentage.

(b) Similarly, for 3 minutes of cooking time, we follow the same process as in (a) to determine the percentage of kernels that fail to pop.

(c) To find the cooking time that ensures 95 percent of the kernels pop, we need to locate the z-score that corresponds to the cumulative probability of 0.95 in the standard normal distribution. We can then use the z-score formula to calculate the corresponding time value.

(d) Likewise, to ensure that 99 percent of the kernels pop, we find the z-score corresponding to a cumulative probability of 0.99 and calculate the corresponding time.

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Answer:

Step by step

A) Dilation

Answer:

433

Step-by-step explanation:

Break apart into 3 hundreds, 1 ten, and 2 ones.

745 - 300 = 445

445 - 10 = 435

435 - 2 = 433

Answer:

[3] [2] [300] [445] [445] [435] [435] [2] [433]

Step-by-step explanation:

3 hundreds 1 ten 2 ones

745-300 = 445

445 -10 = 435

435 -2 = 433

Answer:

you can find the aswer in the question and the in the frist sentes of the question

Step-by-step explanation:

Mathematically, the expected payback is $9.5.

Below, this is further discussed.

What is the anticipated return?

In general, the likelihood times the value are multiplied together to calculate the projected payback.

E(x) = p(x_1)*x_1 + p(x_2)*x_2 + .....

We have two different repayment alternatives in this situation.

Winning

The payback is $500 - $10 = $490

x_1 = 490

The likelihood of winning is one in a thousand (since the choices are 0 to 999)

p(x 1) = 1/1000

Losing

Due to the fact that the person did not win anything, they actually lost $8.

x _2 = -10

The other 999 numbers are regarded as losing numbers because there is only one number that can win.

p(x 2) = 999/1000

E(x) = p(x 1)*x 1 + p(x 2)*x 2 = (1/1000)* 490+ is the expected payback as a result.

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Answer:

The function is strictly increasing on (0, π/2)

Step-by-step explanation:

We are given the function;

y = sin x

Let's find the derivative;

dy/dx = cos x

Now, Cos 0 = 1

Cos (π/4) = 1/√2

Cos (π/2) = 0

From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.

Thus, the function is strictly increasing on the interval (0, π/2)

Answer:

D. (0, pi/2)

Step-by-step explanation:

If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2  :)

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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The required cycle-time is approximately 57.6 seconds.

To find the required cycle time, we need to divide the total available time by the number of units to be produced.

Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds

Number of units to be produced: 1,000 units

Required cycle time: Total available time / Number of units

Cycle time = 57,600 seconds / 1,000 units

Cycle time ≈ 57.6 seconds

Therefore, the required cycle time is approximately 57.6 seconds.

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Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so  

30.75 multiplied by 12 is 369  

its C

The amount of interest would be $3076.51 in the account after 4 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given that Rafi has $6,629 in an account that earns 10% interest compounded annually.

p = $6,629

r = 10%

t = 4 years

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 6,629 (1 + 10/100)⁴

A = 6,629 (1 + 0.10)⁴

A = 6,629 (1.1)⁴

A ≈ 9705.51

Now, C.I. = A - P

So C.I. = 9705.51 - 6,629 = $3076.51

Therefore, the amount of interest would be $3076.51 in the account after 4 years.

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The components of the vector v are \((5, 1, 0)\) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\).

To find the components of the vector v with initial point p and terminal point q, we subtract the coordinates of p from the coordinates of q.

The components of the vector v are given by:

\(v = q - p\)
\(= (6, 2, 0) - (1, 1, 0)\)
\(= (6 - 1, 2 - 1, 0 - 0)\)
\(= (5, 1, 0)\)

Now, to find the unit vector u in the direction of v, we divide each component of v by the magnitude of v.

The magnitude of v, denoted as ||v||, can be calculated using the formula:
\(||v|| = sqrt(x^2 + y^2 + z^2)\)
where x, y, and z are the components of v.

In this case:
\(||v|| = sqrt(5^2 + 1^2 + 0^2)\)
\(= sqrt(25 + 1 + 0)\)
\(= sqrt(26)\)

Therefore, the unit vector u in the direction of v is given by:
\(u = v / ||v||\)
\(= (5, 1, 0) / sqrt(26)\)

Simplifying each component, we get:
\(u = (5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\)

Thus, the components of the vector v are (5, 1, 0) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26)).\)

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Answer: Inferential

Step-by-step explanation:

Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.

Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics

.

The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.

To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:

To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.

The distance from the charges on the axis and at 0 is x. Now we can write,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].

Now, we can substitute the values in the above expression and obtain,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .

Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.

Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

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Answer:

515

Step-by-step explanation:

5x 103 = C. 515

Answer:

y=7/9x + 8

Step-by-step explanation:

i just used desmos to find it

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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For 13 months the membership is done using the equivalent of two given monthly fees for community and workout gym.

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value. By dividing both numbers by the same number, one can convert a division problem into an analogous problem while keeping the ratio between the two numbers constant. The equivalent is defined as something that is almost identical to or equal to another object. Two numbers that are equivalent are (2+2) and 4. These two things are equivalent since 2+2=4. equal to make equivalent.

Let x be the months

then community month= workout month

60+70x=190+60x

⇒70x-60x=190-60

⇒10x=130

⇒x=13 be the months be the working.

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answer: you're missing the problem

Answer:

Step-by-step explanation:

The domain is the set of possible x-values.

The range is the set of possible y-values.

Domain : -1 ≤ x ≤ 3

Range : 6 ≤ y ≤ 27

Answer:

108.12

Step-by-step explanation:

17 x 6.36 = 108.12

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} \)

\(\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times {5}^{2} } \times \sqrt{2 \times 11} \)

\(\qquad \sf  \dashrightarrow \: 3 \times 5 \sqrt{2} \times \sqrt{2 \times 11} \)

\(\qquad \sf  \dashrightarrow \: 15 \sqrt{ {2}^{2} \times 11} \)

\(\qquad \sf  \dashrightarrow \: 15 \times 2 \sqrt{11} \)

\(\qquad \sf  \dashrightarrow \: 30 \sqrt{11} \)

Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

The risk of developing heart disease is increased by option C: 25–30% for nonsmokers who breathe secondhand smoke at home or at work.

According to the Centers for Disease Control and Prevention (CDC), Nonsmokers who breathe secondhand smoke at home or at work have a 25–30% higher chance of getting heart disease. Additionally, secondhand smoke 20–30% increases the risk of stroke. Secondhand smoking exposure can result in coronary heart disease, heart attacks, and strokes.

Only completely smoke-free environments can totally protect you and your loved ones from the dangers of secondhand smoke. Making sure your home and automobile are properly ventilated is another strategy to safeguard yourself from secondhand smoke. This can assist in lowering the amount of smoke in the air and lowering your exposure.

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Correct question:

How much do nonsmokers increase their risk of developing heart disease by exposing themselves to secondhand smoke at home or work? responses

15 to 20 percent

20 to 25 percent

25 to 30 percent

30 to 35 percent

Answer:

840 different ways

Step-by-step explanation:

P(n, r) = n! / (n - r)!

P(7, 4) = 7! / (7 - 4)!

= 7! / 3!

= (7 * 6 * 5 * 4) / (3 * 2 * 1)

= 840

It is important to have a sufficient sample size when computing a confidence interval to ensure accuracy and precision.

When we compute a confidence interval with a sample size of 82, the confidence interval will be more precise and narrower compared to a confidence interval computed with a smaller sample size. This is because a larger sample size provides more information and reduces the effect of random variation in the data.

However, if the sample size decreases to 67, the precision of the confidence interval will decrease and it will become wider. This is because a smaller sample size will have more random variation and may not accurately represent the population. As the sample size decreases, the confidence level also decreases, indicating that there is more uncertainty about the true population parameter.

A larger sample size will result in a more reliable estimate of the population parameter and a narrower confidence interval. Conversely, a smaller sample size will result in a less reliable estimate of the population parameter and a wider confidence interval.

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