Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!

for a confidence interval for a population parameter (e.g., the population mean) computed at a 91% confidence level, what proportion of all possible confidence intervals will contain the true parameter value?

For a confidence interval computed at a 91% confidence level, the proportion of all possible confidence intervals that will contain the true parameter value is 0.91.

Learn more about confidence interval  here:

https://brainly.com/question/32546207

#SPJ11

Answer:

Explanation:

Here, we want to get the dimensions of the rectangle

Let us represent the length by l and the width by w

From the question:

The length of the rectangle is 3 m less than double the width

Mathematically:

The product of the two represents the area

Now, let us substitute the first equation with the second:

Solving the quadratic equation, we have:

Recall:

Answer:

0.24192189

Step-by-step explanation:

sin 14° = 0.24192189 or 0.24

Answer:

0.9906

Step-by-step explanation:

Answer:

15 minutes

Step-by-step explanation:

To figure this out, you can create a ratio. If we say the first 2000 miles is the 1 in the ratio, the ratio would be 1 : 2.5. Since it took 6 minutes for the first 2000, you have to multiply 6 by 2.5 to get your answer of 15 minutes.

Answer:

fddddisjsjjsjenejucudjjeennfjciicf

Answer:

for 2h the volume is 96π

for 5h the volume is 240π

for h/2 the volume is 24π

for h/5 the volume is 9.6π

Step-by-step explanation:

I hope this helps! if not i don't know what to say..

The equation that represent Mila's total pay on a day on which she sells x dollars is P = 0.01x + 65

An equation is an expression that shows how numbers and variables are related to each other using mathematical operations.

A linear equation is in the form:

y = mx + b

Where m is the slope (rate), b is the y intercept

Let P represent Mila's total pay on a day on which she sells x dollars worth of computers.

From the table, using the point (5000, 115) and (7000, 135):

P - 115 = [(135 - 115)/(7000 - 5000)](x - 5000)

P = 0.01x + 65

The equation is P = 0.01x + 65

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Yes, there is a proportional relationship between the number of bushels of wheat collected and the number of acres ploughed over the two days.

This can be seen by calculating the average number of bushels of wheat collected per acre for each day, and seeing if they are equal.

For the first day,

The average is 135 bushels / 5 acres = 27 bushels per acre.

For the second day,

The average is 216 bushels / 8 acres = 27 bushels per acre.

Since the two averages are equal, it can be concluded that there is a proportional relationship between the number of bushels of wheat collected and the number of acres ploughed.

For more questions based on proportionality

https://brainly.com/question/24868934

#SPJ4

Answer:

\(n {}^{2} + 3\)

The equation of the ellipse is (x-3)^2/36 + (y+2)^2/25 = 1. The center of the ellipse is (3, -2), with a vertical major axis of length 12 and a minor axis of length 10.

Given that the center of the ellipse is (3, -2). Using the formula of an ellipse, the standard form is:

(x - h)² / a² + (y - k)² / b² = 1.

As the major axis is vertical, therefore b > a.

Here, the length of the minor axis is 10 and the length of the vertical major axis is 12.

So, the value of a = 5 and b = 6.

So, the equation of the ellipse is [(x - 3)² / 25] + [(y + 2)² / 36] = 1.

An ellipse is a curve that is symmetrically oval in shape and is formed by the intersection of a cone and a plane. An ellipse is a closed figure having two types of axes namely the major and minor axis. Its center is the point about which it is symmetric.

To know more about ellipse visit:

https://brainly.com/question/20393030

#SPJ11

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

No Solution.

Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

Learn more about no solution equation at https://brainly.com/question/14603452.

#SPJ4

This integral is quite complex and does not have an analytical solution is 2 ∫\(0^3\) ∫\(0^{2\pi\) ∫\(0^9\) \(e^{(r^6 cos^6(\theta)\)r sin(theta)) sqrt(9-z) r dz dr dtheta

To evaluate the triple integral ∭e\(x^6\)ey dv over the region E enclosed by the parabolic cylinder z=9−\(y^2\) and the planes z=0, x=3, and x=-3, we will use the cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits of integration for r, theta, and z are as follows:

0 <= r <= 3

0 <= theta <= 2pi

0 <= z <= 9 -\(y^2\)

Substituting the cylindrical coordinates into the integral, we get:

∫∫∫ e\(x^6\)ey dv = ∫∫∫ e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) r dz dr dtheta

Now, we need to determine the limits of integration for z in terms of r and y. Solving for y in the equation that defines the boundary of the region, we get:

y = ±sqrt(9-z)

Thus, the limits of integration for y become:

-y <= y <= y = -sqrt(9-z) <= y <= sqrt(9-z)

Substituting these limits into the integral and performing the integrations, we get:

∫∫∫ e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) r (2sqrt(9-z)) dz dr dtheta

= 2 ∫\(0^3\) ∫\(0^2\)pi ∫\(0^9\) e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) sqrt(9-z) r dz dr dtheta

This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.

To learn more about  triple integral  visit:https://brainly.com/question/30404807

#SPJ11

Answer:

If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.

Step-by-step explanation:

Answer:

\(the \: third \: answer \: is \: correct\)

The requried water in Juan's body weight is 57.13 kilograms or 117.13 pounds

To find out how much water is in Juan's body weight, we need to multiply his body weight by the percentage of his weight that is water:

Water weight = Body weight × Percentage of body weight that is water

First, we need to convert Juan's weight from pounds to a more convenient unit for the calculation, such as kilograms:

185 pounds = 84.09 kilograms

Now we can calculate the water weight:

Water weight = 84.09 kg x 68/100 = 57.13 kg

Therefore, the water in Juan's body weight is 57.13 kilograms or 117.13 pounds

Learn more about the percentage here:

https://brainly.com/question/14615119

#SPJ1

Gaussian quadrature: This technique allows one to reduce the error that comes with approximating the integral and the number of calculations that need to be performed to compute the integral. It computes the integral by multiplying a weighted sum of function values at a few known points by a set of constants.

This method is based on the idea that the weights and points must be picked to give the highest possible degree of precision.
In Gauss Quadrature, you must approximate integrals in this form ∫abf(x)dx ≈ ∑i=1ncif(xi).The Gaussian quadrature of order n computes the integral exactly for all the polynomials of degree 2n − 1 or less. Therefore, if the function f(x) is smooth on the interval [a,b], Gaussian quadrature provides excellent accuracy with just a few function evaluations.
Solution:
a. integral^1.5_1 x62 ln x dx
To solve this, we first need to find the exact value of this integral.
Let's start by calculating the antiderivative of the integrand, using integration by parts:
= (x^6)(ln x) - (1/7)x^7 + C
We can use the above antiderivative to find the exact value of the integral between 1 and 1.5:
= (1.5^6)(ln 1.5) - (1/7)(1.5^7) - (1^6)(ln 1) + (1/7)(1^7)
= 20.657
Now we can apply Gaussian quadrature to approximate the integral using n=2:
Here we have chosen n=2 and we are integrating over [1,1.5]. The weights and points for this case are given below:
xi  0.774596669  -0.774596669
ci  0.555555556  0.555555556
Therefore, our approximation is:
(1/2)[(1.5-1)(0.555555556)[(1.5+1) / 2 + (1.5-1)(0.774596669)(x1^6 ln x1) + (1.5-1)(-0.774596669)(x2^6 ln x2)]
= 20.656
Comparing the approximate value of the integral to the exact value, we get an error of 0.001.
b. integral^1-0 x^2 e^-x dx
Let's first find the exact value of the integral:
= [-x^2 e^-x - 2xe^-x - 2e^-x]1^0
= 1
Now let's apply Gaussian quadrature to approximate the integral using n=2:
Here we have chosen n=2 and we are integrating over [0,1]. The weights and points for this case are given below:
xi  0.577350269  -0.577350269
ci  1.000000000  1.000000000
Therefore, our approximation is:
(1/2)[(1-0)(1.000000000)[(1+0) / 2 + (1-0)(0.577350269)(x1^2 e^-x1) + (1-0)(-0.577350269)(x2^2 e^-x2)]
= 0.918
Comparing the approximate value of the integral to the exact value, we get an error of 0.082.
c. integral^0.35_0 2/x^2 - 4 dx
Let's first find the exact value of the integral:
= [-2/x - ln|x-2|]0.35^0
= -3.624
Now let's apply Gaussian quadrature to approximate the integral using n=2:
Here we have chosen n=2 and we are integrating over [0,0.35]. The weights and points for this case are given below:
xi  0.577350269  -0.577350269
ci  1.000000000  1.000000000
Therefore, our approximation is:
(1/2)[(0.35-0)(1.000000000)[(0.35+0) / 2 + (0.35-0)(0.577350269)(2/x1^2-4) + (0.35-0)(-0.577350269)(2/x2^2-4)]
= -4.034
Comparing the approximate value of the integral to the exact value, we get an error of 0.410.
d. integral^pi/4_0 x^2 sin x dx
Let's first find the exact value of the integral:
= [-x^2 cos x + 2x sin x + 2cos x]pi/4^0
= -pi/4
Now let's apply Gaussian quadrature to approximate the integral using n=2:
Here we have chosen n=2 and we are integrating over [0,pi/4]. The weights and points for this case are given below:
xi  0.577350269  -0.577350269
ci  1.000000000  1.000000000
Therefore, our approximation is:
(1/2)[(pi/4-0)(1.000000000)[(pi/4+0) / 2 + (pi/4-0)(0.577350269)(x1^2 sin x1) + (pi/4-0)(-0.577350269)(x2^2 sin x2)]
= -0.649
Comparing the approximate value of the integral to the exact value, we get an error of 0.306.
Therefore, Gaussian quadrature provides excellent accuracy with just a few function evaluations.

To know more about integral visit:

https://brainly.com/question/14502499

#SPJ11

The answer is 104.

You are pretty much multiplying 1.6 by 65 because your converting it from miles to kilometers.

Answer:

Approximately 104 km/h

Step-by-step explanation:

This is because to find the approximate value you multiply 65 by 1.6 because it is theamount of kilometres in an hour.

HOPE THIS HELPED

Answer:

Step-by-step explanation:

The angle across from side x is also 27°.

Alternate interior angles are formed by the 2 parallel  lines and they are congruent.

Use sin ratio - opposite/hypotenuse.

sin 27° = x/540

.4539905 = x/540

Mulitiply both sides by 540

(540)(.4539905) = x/540 × 540/1

245.154 = x

Answer:

x = 3

Step-by-step explanation:

8x- 5= 19

8x= 19+5

8x= 24

x= 24/ 8

x= 3

The sum of first 100 terms of the series is  0.686 with error less than 0.00005

The given series is

Tₙ = \(\frac{1}{n_3 +1 }\)

Since, \(\frac{1}{n_3 +1 } < \frac{1}{n_3}\)

The given series is convergent by the comparison Test.

The remainder Tₙ for the comparison series ∑ 1/n³ was estimated in this example using the remainder estimate for the Integral Test.

There we found that

\(T_n \leq \int\limits^\infty_n {\frac{1}{x^3} \, dx\)

Solving the integration,

=> \(\int\limits^\infty_n \frac{-1}{2x^2}\, dx\)

=> \(\frac{1}{2n^2}\)

So, \(T_n \leq \frac{1}{2n^2}\)

Therefore , the reminder Rₙ for the given series satisfies

Rₙ ≤ Tₙ ≤ 1/2n²

with n = 100 we have

=> R₁₀₀ ≤ 0.00005

Using a programmable calculator , we find that

\(\sum^\infty_{n=1} \frac{1}{n^3 + 1} = \sum^\infty_{100=1} \frac{1}{n^3 + 1}\)

=>  0.686 (approximately)

with the error less than 0.00005

To know more about Sum of series here

https://brainly.com/question/4617980

#SPJ4

Answer:

so your answer would be \(\frac{13}{52}\)

simplified as a fraction would be \(\frac{1}{4}\)

.25 as a decimal

and 25% as a percent

Step-by-step explanation:

there are 13 heart card in a deck of 52 cards

The correct choice is OA. Equation Dx = b has a solution for each bin R7. According to the Invertible Matrix Theorem, a matrix is invertible if the columns of the matrix form a linearly independent set this would mean that the equation Dx = b has at least one solution for each bin R7.

If the columns of a 7x7 matrix D are linearly independent, it means that the matrix D is invertible. According to the Invertible Matrix Theorem, a matrix is invertible if the columns of the matrix form a linearly independent set. This implies that the equation Dx = b has at least one solution for each bin R7. Therefore, if the columns of a 7x7 matrix D are linearly independent, the equation Dx = b has a solution for each bin R7.

Learn more about Matrix

brainly.com/question/28180105

#SPJ11

The probability that the collector gets at least one limited edition card if he buys 3 packs is 0.23.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

\(P(x) = ^nC_x p^xq^{(n-x)}\)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given that a box of trading cards contains 24-packs of cards in it. And Only two of those packs contain limited edition cards. Therefore, the probability of finding a limited edition card will be,

\(P = \dfrac2{24} = \dfrac{1}{12}\)

The probability of not getting a limited edition card will be,

\(q = \dfrac{24-2}{24} = \dfrac{22}{24} = \dfrac{11}{12}\)

Now, using the binomial distribution, the probability can be found.

A.)  The probability that a collector will find both limited edition cards if he buys only 2 packs is

\(P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^2C_2 \cdot(\dfrac1{12})^2 \cdot (\dfrac{11}{12})^{(0)}\\\\P(x = 2) = 0.0069 \approx 0.007\)

B.) The probability that he gets at least one limited edition card if he buys 3 packs can be written as,

The probability of at least a limited edition card

= 1 - Probability of not getting any limited edition card

The probability of getting no special edition card will be,

\(P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=0) = ^3C_0 \cdot(\dfrac1{12})^0 \cdot (\dfrac{11}{12})^{(3)}\\\\P(x = 0) = 0.77\)

Now,

The probability of at least a limited edition card

= 1 - Probability of not getting any limited edition card

The probability of at least a limited edition card = 1 - P(x=0) = 1-0.77 = 0.23

Hence,  the probability that the collector gets at least one limited edition card if he buys 3 packs is 0.23.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ1

The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^+11k^ in meters and t is in seconds. To find the particle's acceleration at t = 2 s, we can find its velocity vector by dividing it by time. The acceleration is zero, and the particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the particle's acceleration at t=2s is 0 m/s^2.

The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^​+11k^ in units of meters and t is in units of seconds. Let's find the acceleration of the particle at t = 2 s.First, find the first derivative of the position vector r(t) to get the velocity vector

v(t).r(t) = 0.1ti^+0.3t2j^​+11k^ ...........................(1)

Differentiating equation (1) with respect to time, we get the velocity vector

v(t).v(t) = dr(t) / dt = 0.1i^ + 0.6tj^​...........................(2)

Differentiating equation (2) with respect to time, we get the acceleration vector

a(t).a(t) = dv(t) / dt = 0j^​...........................(3)

Substituting t = 2 s in equation (3), we geta(2) = 0j^​= 0 m/s^2

The acceleration of the particle at t = 2 s is zero. 11. For the particle above, what angle does the particle's velocity make with the +x-axis at t=2 s?Velocity vector at time t is given by,v(t) = 0.1i^ + 0.6tj^Substituting t = 2 s, we get,v(2) = 0.1i^ + 1.2j^The angle θ made by the velocity vector with the +x-axis is given by,

θ = tan⁻¹(v_y/v_x)

where, v_y = y-component of velocity vector, and v_x = x-component of velocity vectorSubstituting the values,θ = tan⁻¹(1.2/0.1) = tan⁻¹(12) = 84.3°

The particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the answer is, "The acceleration of the particle at t=2s is 0 m/s^2. The angle the particle's velocity makes with the +x-axis at t=2s is 84.3°."

To know more about position vector Visit:

https://brainly.com/question/31137212

#SPJ11

Answer: a big rock

Step-by-step explanation: i am just dumb and lazy

Answer:

41 apples

Step-by-step explanation:

13 apples + 9 apples + 19 apples

41 apples

Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

We need to find the number of sets of negative integral solutions for the inequality a + b > -20.

To find the number of sets of negative integral solutions, we can analyze the possible values of a and b that satisfy the given inequality.

Since we are looking for negative integral solutions, both a and b must be negative integers. Let's consider the values of a and b individually.

For a negative integer a, the possible values can be -1, -2, -3, and so on. However, we need to ensure that a + b > -20. Since b is also a negative integer, the sum of a and b will be negative. To satisfy the inequality, the sum should be less than or equal to -20.

Let's consider a few examples to illustrate this:

1) If a = -1, then the possible values for b can be -19, -18, -17, and so on.

2) If a = -2, then the possible values for b can be -18, -17, -16, and so on.

3) If a = -3, then the possible values for b can be -17, -16, -15, and so on.

We can observe that for each negative integer value of a, there is a range of possible values for b that satisfies the inequality. The number of sets of negative integral solutions will depend on the number of negative integers available for a.

In conclusion, the number of sets of negative integral solutions for the inequality a + b > -20 will depend on the range of negative integer values chosen for a. The exact number of sets will vary based on the specific range of negative integers considered

Learn more about integral here:

https://brainly.com/question/31059545

#SPJ11

To find the length of the segment between the given points, we can use the distance formula. The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
\[d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\]

Let's apply this formula to the given points: $(2a, a-4)$ and $(4, -1)$.

The distance between these two points is $2\sqrt{10}$ units. So we have:
\[2\sqrt{10} = \sqrt{{(4 - 2a)^2 + (-1 - (a-4))^2}}\]

Simplifying the equation, we get:
\[4\sqrt{10} = \sqrt{{(4 - 2a)^2 + (-5 - a)^2}}\]

Squaring both sides of the equation, we have:
\[160 = (4 - 2a)^2 + (-5 - a)^2\]

Expanding the equation, we get:
\[160 = 16 - 16a + 4a^2 + 25 + 10a + a^2\]

Combining like terms, we have:
\[0 = 5a^2 - 6a + 1\]

Now, we can solve this quadratic equation for the possible values of $a$.

Factoring the equation, we have:
\[0 = (5a - 1)(a - 1)\]

Setting each factor equal to zero and solving for $a$, we get:

\[5a - 1 = 0 \quad \Rightarrow \quad a = \frac{1}{5}\]
\[a - 1 = 0 \quad \Rightarrow \quad a = 1\]

Therefore, the possible values for $a$ are $\frac{1}{5}$ and $1$. The product of these values is:
\[\left(\frac{1}{5}\right) \cdot 1 = \frac{1}{5}\]

So, the product of all possible values for $a$ is $\frac{1}{5}$.

Learn more about distance formula here : brainly.com/question/25841655

#SPJ11