Solve the given differential equation by separation of variables dn/dt n = nte^t 8

Answer:

i dont think you've got the right (x,y) pair....

Step-by-step explanation:

3x - y = 5

3(2) - 7 = 5

6 - 7 = 5

those are not the correct coordinates for the equation

The 95% confidence interval for the true proportion of people who favor candidate is (0.419,0.481).

A random sample of 1000 people was condidered for testing.

Number of people in sample favoured candidate

= 450

So, sample proportion, p = 450/1000 = 0.45

Confidence level= 95% i.e, alpha = 1 - 0.95=0.05, From standard normal Z- table, the value of Z( 0.025) is equals to 1.96..

Confidence interval formula,

CL = p ± Z× √(p×(1-p)/n)

Lower bound of interval is ,

=0.45 - 1.96× √(0.45× (1-0.45)/1000)

= 0.45 - 1.96× √(0.45× 0.55/1000)

= 0.45 - 1.96× √(0.0002475)

=0.419165~ 0.419

So the Upper bound is

= p + Z×√(p×(1-p)/n)

= 0.45 + 1.96× √(0.45× (1-0.45)/1000)

= 0.45 + 1.96× √(0.0002475)

= 0.480835 ~0.481

Hence, the required confidence interval is (0.419,0.481).

To learn more about Confidence interval, refer:

https://brainly.com/question/15712887

#SPJ4

Answer: 20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Hey There!

Those angles are a pair of vertical angles so they are congruent

Therefore x=20

Hope this helps :)

Answer:

k = 3 + 6x

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\)

\((a^{m}) ^{n}\) = \(a^{mn}\)

Given

27 × \(9^{3x}\)

= 3³ × \((3^{2}) ^{3x}\)

= 3³ × \(3^{6x}\)

= \(3^{3+6x}\)

= \(3^{k}\) → with k = 3 + 6x

Answer:

The answer is D: sin 11pi/6

<3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A 98% confidence interval for the proportion of New York state union members who favor the Republican candidate is constructed using: p ± zsqrt(p(1-p)/n). Substituting, we get (0.3051, 0.4416), or approximately (a) 0.304p0.442.

To construct a 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate, we can use the following formula:

p ± z*sqrt(p*(1-p)/n)

where p is the sample proportion, n is the sample size, and z* is the critical value from the standard normal distribution corresponding to a 98% confidence level, which is approximately 2.33.

Substituting the values from the problem, we get:

p ± 2.33*sqrt(p*(1-p)/n)

p = 112/300 = 0.37333

n = 300

Substituting these values, we get:

0.37333 ± 2.33*sqrt(0.37333*(1-0.37333)/300)

Simplifying, we get:

0.37333 ± 0.0682

Therefore, the 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate is:

(0.3051, 0.4416)

Rounding to three decimal places, the answer is (a) 0.304p0.442.

know more about confidence interval here: brainly.com/question/32546207

#SPJ11

It should be noted that this approach follows the need to maintain the list's original order of elements.

A function is a relationship between a set of possible outcomes (referred to as the range) and a set of inputs (referred to as the domain), with the property that each input is associated to exactly one output. A function, then, is a mathematical rule that designates a specific output value for each input value. Equations, graphs, and tables are frequently used to represent functions. They are employed to mimic real-world occurrences and to address issues in numerous branches of mathematics, science, engineering, and other disciplines.

given

The value to be deleted from the list is represented by an integer value that the method accepts as an argument.

The method iterates through the list's components using a while loop.

The method determines if the current element equals the requested value while it is in the loop. If so, the procedure uses the ArrayList class's remove method to remove the element from the list. If not, the method increases the index variable and moves on to the next element.

The procedure keeps going over the list until all instances of the given value have been eliminated.

It should be noted that this approach follows the need to maintain the list's original order of elements.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

Step-by-step explanation:

Step one:

given that the orientation of the garden is a triangular shape(it has three sides)

the perimeter is given as=46ft

one side y=11ft

the second side z= 13ft

let the third side be xft

Step two:

the expression for the perimeter = z+y+x

46=11+13+x

46=24+x

solve for x

x=46-24

x=22ft

Therefore the third side is 22ft long

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

know more about Bedrock.

https://brainly.com/question/2948854

#SPJ11

Answer:

b

Step-by-step explanation:

you can use a calculator, or this way of thinking about it :

the sqrt of 49 is 7. so rt46 is too small, and rt51 may be too big. rt50 is closer to rt49 ( 7's square) than rt47. so it is rt50

Answer:

is there like answer choices or do you just fill it in? if so then i think it would be unlikely.

Step-by-step explanation:

there’s only 7 ones which is the number that shows it will flood so 7/36 is unlikely, it has to be more than half to be likely

Answer:

C: 2.5mm per week

Step-by-step explanation:

it is easiest to see that it grows 25 mm per 10 weeks, divide to find 1 week, and you get 2.5

Answer:

1/2

Step-by-step explanation:

(Mi español no es muy bien, lo siento.)

1. Exponente es básicamente multiplicación.

2² = 2*2

2³ = 2*2*2

2. Dividir

Answer:

Step-by-step explanation:

2 1/2 / 2^3=

2 1/2 / 2*2*2=

2 1/2 / 8=

2.5 / 8=

0.3125

The solution to the system equation  is (x, y, z, w) = (23, 12, 3, 1).

What is equation?

An equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

Here is a system of linear equations that represents the situation.

x +5y +10z +20w = 133 . . . total amount earned

x +y +z +w = 39 . . . . . . . . . total number of bills

y = 4z . . . . . . . . . . . . . . . . . . the number of 5s is 4 times the number of 10s

x = 2y -1 . . . . . . . . . . . . . . . . the number of 1s is 1 less than twice the number of 5s

_____

We can substitute for x and z in the first two equations:

... (2y-1) +5y +10(y/4) +20w = 133

... (2y-1) +y +(y/4) +w = 39

These simplify to

... 9.5y +20w = 134

... 3.25y +w = 40

Solving by your favorite method, you get

... y = 12

... w = 1

So the other values can be found to be

... x = 2·12 -1 = 23

... z = 12/4 = 3

hence ,The solution to the system is (x, y, z, w) = (23, 12, 3, 1).

to know more about equation , visit

https://brainly.com/question/2972832

#SPJ4

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

For more such information on: equation

https://brainly.com/question/29174899

#SPJ8

Answer:

46.16

Step-by-step explanation:

\(B=arcsin(\frac{opp}{hyp} )\)

good luck, i hope this helps :)

The exponential function that is used to determine how much of the isotope is left after x number of half-lives is:

\(A(x) = 90(0.5)^x\)

5.625 mg would be left after 70 days.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, considering that it has 90 mg, and the half-life means that r = 0.5, the equation is:

\(A(x) = A(0)(1 - r)^x\)

\(A(x) = 90(0.5)^x\)

70 days is 70/17.5 = 4 half-lifes, hence:

\(A(4) = 90(0.5)^4 = 5.625\)

5.625 mg would be left after 70 days.

More can be learned about exponential functions at https://brainly.com/question/25537936

The degrees of freedom (df) is 27, the critical values are χL² = 45.722 and χR² = 3.682, and the confidence interval estimate of σ is (2508.84, 19315.91).

1. Degrees of freedom (df):

The degrees of freedom can be calculated using the formula:

df = n - 1

  = 28 - 1

  = 27

Therefore, the degree of freedom is 27.

2. Critical values:

The critical values can be obtained from the Chi-Square distribution table.

For a 99% confidence interval, we need to find the critical values at α/2 and 1 - α/2 significance levels.

Using the table, we find:

χ²(0.005, 27) ≈ 45.722 (left-tail critical value at α/2)

χ²(0.995, 27) ≈ 3.682 (right-tail critical value at 1 - α/2)

Hence, the critical values are χL² = 45.722 and χR² = 3.682.

3. Confidence interval estimate of σ:

The confidence interval estimate of σ can be calculated using the formula:

((n - 1)s² / χL², (n - 1)s² / χR²)

Substituting the given values:

((27)(65.4²) / 45.722, (27)(65.4²) / 3.682)

= (2508.84, 19315.91)

Therefore, the confidence interval estimate of σ is (2508.84, 19315.91).

Learn more about Degrees of freedom

https://brainly.com/question/32093315

#SPJ11

Answer:

a)

\( \frac{2 - 7}{ 1 - 0} = - \frac{5}{1} = - 5\)

b)

\( \frac{1 - 7}{2 - 1} = - \frac{6}{1} = - 6\)

Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$

Answer:  He would have $100 in his bank account from the information provided .

Option D, which indicates 4, is the answer. The degree of the polynomial f(x) given below is 4, hence the maximum number of turning points the graph of f(x) can have is 3. According to the given polynomial f(x), f(x) = (x − 6)(x - 1)(x² + 5)

The degree of the polynomial f(x) given below is 4, hence the maximum number of turning points the graph of f(x) can have is 3. According to the given polynomial f(x), f(x) = (x − 6)(x - 1)(x² + 5)

The degree of the polynomial f(x) is the highest power in the polynomial, which is 4, as x² has a degree of 2. Since the degree of f(x) is 4, the graph of f(x) is expected to have a maximum of 3 turning points. A turning point in a graph is a point where the graph changes direction from decreasing to increasing or increasing to decreasing.

The graph of a polynomial function of degree n can have a maximum of n - 1 turning points. As a result, the maximum number of turning points the graph of the given polynomial f(x) can have is 3, which is 4 - 1. Therefore, option D, which indicates 4, is the answer.

To know more about polynomial visit:

https://brainly.com/question/11536910

#SPJ11

Answer:

364m^2

Step-by-step explanation:

Surface area is calculated by adding the area of each face.

Because this is a cubiod, there are 6 sides in pairs of identical area.

4m × 5m = 20m^2

4m × 18m = 72m^2

5m × 18m = 90m^2

90m^2 +72m^2 +20m^2 = 182m^2

This is 3 faces of the 6, so double it.

182m^2 ×2 = 364m^2

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ1

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.

To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.

The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.

To learn more about perpendicular here:

https://brainly.com/question/29268451

#SPJ4

The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

To know more about standard deviation Visit:

brainly.com/question/23907081

#SPJ4

Answer:

3 things :)

Step-by-step explanation:

#1. I have reported these websites to many brainly users and I hope they all stay safe.

#2. As you can see in the model there are 10+ (positives) and -4 (negatives)

and when you subtract the positives and the negatives (10 -4) you would get 6

#3. The equation that represents the model would be when you divide the negative and the positive in this case -4/10 which would equal -2/5