Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answer:

a variable is isolated by using the many properties.

these are addition, subtraction, division, and multiplication

Step-by-step explanation:

hope this helps!

Answer:

400 feet

Step-by-step explanation:

on way up you travel 35 ft in 30 sec or 144 ft in 120 sec (2 min)

on way down you travel 304 ft in 120 sec (2 min)

the distance traveled for 5 minutes at rate from way 'up' is 360 feet

the distance traveled for 5 minutes at rate from way 'down' is 760 feet

difference is 400 feet

Answer:

400

Step-by-step explanation:

Sleepy

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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(a) The example size required is 1937. (b) MoE = 1.645 * sqrt((0.12 * (1 - 0.12)) / 1937) MoE  0.013 The confidence interval's margin of error is approximately 0.013.

(a) The following formula can be used to determine the required sample size for a given error margin:

Where: n = (Z2 * p * (1-p)) / E2.

n = Test size

Z = Z-score comparing to the ideal certainty level (90% certainty relates to a Z-score of roughly 1.645)

p = Assessed extent of clients not fulfilled (0.2)

E = Room for mistakes (0.015)

Connecting the qualities:

Simplifying the equation: n = (1.6452 * 0.2 * (1-0.2)) / 0.0152

The required sample size is 1937 by rounding to the nearest whole number: n = (2.7056 * 0.16) / 0.000225 n = 1936.4267

Hence, the example size required is 1937.

(b) Considering that 12% of the example (n = 1937) says they are not fulfilled, we can ascertain the room for mistakes utilizing the equation:

MoE = Z / sqrt((p * (1-p)) / n), where:

MoE = Room for mistakes

Z = Z-score comparing to the ideal certainty level (90% certainty relates to a Z-score of roughly 1.645)

p = Extent of clients not fulfilled (0.12)

n = Test size (1937)

Connecting the qualities:

MoE = 1.645 * sqrt((0.12 * (1 - 0.12)) / 1937) MoE  0.013 The confidence interval's margin of error is approximately 0.013.

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Answer:

A- 35103$

Step-by-step explanation:

Answer: x=4y+18

Step-by-step explanation:

Let's solve for x.

4y+18=x

Step 1: Flip the equation.

x=4y+18

By utilizing a programmable calculator or computer, it is possible to evaluate the sum of areas of approximating rectangles for a given function using looping techniques.

To compute the sum of the areas of approximating rectangles for the region under the function f(x) = x from 0 to 1, we can use a programmable calculator or computer. By dividing the interval [0, 1] into n equal +and using the right endpoints of these subintervals, we can approximate the area.

Using looping techniques like the "is" command on a TI calculator, the "isz" command on a Casio calculator, or a for-next loop in BASIC or on an HP calculator, we can systematically evaluate the areas of the rectangles. For each subinterval, we calculate the width (Δx) as 1/n and the height (f(x)) as the value of the function at the right endpoint of the subinterval. Multiplying the width and height gives us the area of each rectangle, and summing up these areas gives us an approximation of the total area under the curve.

By increasing the value of n, we can refine our approximation and approach the exact area under the curve. The more rectangles we use, the closer our approximation becomes to the true value of the area. To obtain the exact area, mathematical techniques such as integration can be employed.

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800 ways meal be ordered.

There are 5 main courses to choose from, so there are 5 ways to choose a main course. There are 4 vegetables to choose from, so there are 4 ways to choose a vegetable. There are 5 beverages to choose from, so there are 5 ways to choose a beverage. And there are 4 desserts to choose from, so there are 4 ways to choose a dessert.

The total number of ways to order a meal is the product of the number of choices for each category.

So there are 5 * 4 * 5 * 4 = 800 ways to order a meal.

Hence, 800 ways meal be ordered.

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Based on these observations, we can select the following statements that are true: Function 2 has smaller residuals than Function 1, Function 2 is a better fit for the data than Function 1.

From the given scatter plot and residual plots, we can make the following observations:

- Both functions appear to have a general linear trend that fits the data reasonably well.

- Function 2 appears to have smaller residuals than Function 1 for most of the data points.

- Function 2 appears to best fit the data than Function 1, as it follows the general trend of the data more closely.

- There does not appear to be an outlier at z = 7 for either function.

Based on these observations, we can select the following statements that are true:

- Function 2 has smaller residuals than Function 1.

- Function 2 is a better fit to the data than Function 1.

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The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= \(x^3}\)

Then,

\(x^{3}=1000\\ x=\sqrt[3]{1000}\)

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.

The number of simulation trials that would be likely to produce results that are  closest to the actual probability is 25. The correct option is C).

The following steps can be used  in order to determine the number of simulations:

Step 1 - Remember the maximum number of trials gives the maximum chance to produce results that are  closest to the actual probability.

Step 2 - Now, check all the options given in the question and choose the largest one.

From the above steps, it can be concluded that the correct option is C) 25.

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Full question :

Which number of simulation trials would be likely to produce results that are closest to those predicted by probability theory?.

A. 10

B. 15

C. 25

D. 20

Correct question is;

Terry is filling spherical water balloons with a faucet that puts out 100 cm³ of water per second. At that rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?

Answer:

r = 5 cm

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr³

It takes 6 seconds to fill the balloon when a faucet that puts out 100 cm³ of water per second.

Thus,

Volume of balloon = 100 × 6 = 600 cm³

Thus;

(4/3)πr³ = 600

r³ = (600 × 3)/4π

r³ = 143.239

r = ∛143.239

r = 5.23

Approximation to the nearest whole number gives; r = 5 cm

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The linearization of the function f(x, y, z) = x²y + 4z at the point (1, -1, 2) is L(x, y, z) = -1 - 2(x - 1) + y + 4(z - 2). This linearization provides an approximation of the function's behavior near the given point by considering only the first-order terms in the Taylor series expansion.

To find the linearization, we need to compute the partial derivatives of f with respect to each variable and evaluate them at the given point. The linearization is an approximation of the function near the specified point that takes into account the first-order behavior.

First, let's compute the partial derivatives of f(x, y, z) with respect to x, y, and z:

∂f/∂x = 2xy,

∂f/∂y = x²,

∂f/∂z = 4.

Next, we evaluate these derivatives at the point (1, -1, 2):

∂f/∂x = 2(-1)(1) = -2,

∂f/∂y = (1)² = 1,

∂f/∂z = 4.

Using these derivative values, we can construct the linearization L(x, y, z) as follows:

L(x, y, z) = f(1, -1, 2) + ∂f/∂x(x - 1) + ∂f/∂y(y + 1) + ∂f/∂z(z - 2).

Substituting the computed values, we have:

L(x, y, z) = (1²)(-1) + (-2)(x - 1) + (1)(y + 1) + (4)(z - 2).

Simplifying this expression yields the linearization L(x, y, z) = -1 - 2(x - 1) + y + 4(z - 2).

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Answer:No solution

Step-by-step explanation:

|x + 4| = -1

The expression |x + 4| is telling us that regardless the value of x, the expression will always be positive, since we are taking the absolute value of whatever result x+4 provides.  We can try x = -1000.  

|-1000 + 4|

|-996|

996

There is no value of x that could possibly result in -1 as a solution to |x + 4|

Answer:

D

Step-by-step explanation:

Just did it

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

or

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

The procedure described, where participants are assigned into groups through a coin flip to ensure equal probability, is called random assignment.

Random assignment is a fundamental technique in experimental research. It is used to minimize potential biases and ensure that participants have an equal chance of being assigned to different groups. In this case, the two groups are Group 1 and Group 2 of the independent variable.

By using a coin flip, a randomization process is employed where the outcome (heads or tails) determines the group assignment. This random assignment helps to control for confounding variables and distribute their potential effects evenly across the groups.

It increases the likelihood that any observed differences between the groups are due to the manipulation of the independent variable rather than pre-existing differences among participants.

Random assignment is crucial in experimental design as it enhances the internal validity of the study. It allows researchers to make causal inferences and draw conclusions about the effects of the independent variable on the dependent variable.

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The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

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Answer: Sue has 1 more brother than sisters

Step-by-step explanation:

To calculate the volume of the complete ring with the given cross-section, we need to determine the area of the cross-section and multiply it by the width or thickness of the ring.

To find the volume V of the complete ring, we first need to calculate the area of the cross-section. The cross-section is likely to have a shape such as a circle, rectangle, or some combination of geometric figures. Once the cross-sectional area is determined, we can multiply it by the width or thickness of the ring to obtain the volume.

The specific calculation method will depend on the shape of the cross-section. For example, if the cross-section is a circle, the area can be found using the formula A = πr^2, where r is the radius of the circle. If the cross-section is a rectangle, the area can be found using the formula A = length × width.

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Answer:

5.8 = \(5\frac{4}{5}\)

4.5 = \(4\frac{1}{2}\)

9.2 = \(9\frac{1}{5}\)

Answer:

(-3 , -2)

Step-by-step explanation:

First find L coordinates : (-1 , 3)

then the translation , (x , y) => (x + 4 , y - 5)

(-1 + 4 , 3 - 5)

after the translation (3 , -2)

Then the reflection over y-axis  (x , y) => (−x , y)

(3(-1) , -2)

(-3 , -2)

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

x = 4

Step-by-step explanation:

here's my work :D

Answer:

x = 4

Step-by-step explanation:

3/4(x + 8) = 9 <== convert the fraction to a decimal

0.75(x + 8) = 9 <== distribute

0.75x + 6 = 9 <== subtract 6 from both sides

          - 6   - 6

0.75x = 3 <== divide both sides by 0.75 to isolate the variable

/0.75    /0.75

x = 4

Hope this helps!

The area of the triangle with the given vertices is 6.6.

The formula for finding the area of a triangle given its vertices is A = 1/2 abs(x1y2 + x2y3 + x3y1 - x2y1 - x3y2 - x1y3). To calculate the area of the given triangle, we substitute the coordinates of each vertex into the formula. First we find the three cross-products: x1y2 = 0 * 6 = 0, x2y3 = 2.8 * 6 = 16.8, and x3y1 = 5 * 0 = 0. Then, we find the two products of the y-coordinates: x2y1 = 2.8 * 0 = 0, and x3y2 = 5 * 6 = 30. Lastly, we find the product of the x-coordinates: x1y3 = 0 * 6 = 0. Adding all these up, we get 0 + 16.8 + 0 - 0 - 30 - 0 = -13.2. We then take the absolute value of the result, abs(-13.2) = 13.2. Finally, we multiply the result by 1/2 to get the area of the triangle, A = 1/2 abs(-13.2) = 1/2 * 13.2 = 6.6. Therefore, the area of the triangle with the given vertices is 6.6.

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We can compare these values to find the absolute maximum and minimum values of F(x, y).

To find the absolute maximum and minimum values of the function\(F(x, y) = r + y + ry + 3\) on the domain\(D = {(x, y) | x^2 + y^2 ≤ 51}\), we need to evaluate the function at critical points and boundary points of the domain. First, let's find the critical points by taking the partial derivatives of F(x, y) with respect to x and y:

\(∂F/∂x = r∂F/∂y = 1 + r\)

To find critical points, we set both partial derivatives equal to zero:

\(r = 0 ...(1)1 + r = 0 ...(2)\)

From equation (2), we can solve for r:

\(r = -1\)

Now, let's evaluate the function at the critical point (r, y) = (-1, y):

\(F(-1, y) = -1 + y + (-1)y + 3F(-1, y) = 2y + 2\)

Next, let's consider the boundary of the domain, which is the circle defined by \(x^2 + y^2 = 51.\)To find the extreme values on the boundary, we can use the method of Lagrange multipliers.

Let's define the function \(g(x, y) = x^2 + y^2.\) The constraint is \(g(x, y) = 51.\)

Now, we set up the Lagrange equation:

\(∇F = λ∇g\)

Taking the partial derivatives:

\(∂F/∂x = r∂F/∂y = 1 + r∂g/∂x = 2x∂g/∂y = 2y\)

The Lagrange equation becomes:

\(r = λ(2x)1 + r = λ(2y)x^2 + y^2 = 51\)

From the first equation, we can solve for λ in terms of r and x:

\(λ = r / (2x) ...(3)\)

Substituting equation (3) into the second equation, we get:

\(1 + r = (r / (2x))(2y)1 + r = ry / xx + xr = ry ...(4)\)

Next, we square both sides of equation (4) and substitute \(x^2 + y^2 = 51:(x + xr)^2 = r^2y^2x^2 + 2x^2r + x^2r^2 = r^2y^251 + 2(51)r + 51r^2 = r^2y^251(1 + 2r + r^2) = r^2y^251 + 102r + 51r^2 = r^2y^251(1 + 2r + r^2) = r^2(51 - y^2)1 + 2r + r^2 = r^2(1 - y^2 / 51)\)

Simplifying further:

\(1 + 2r + r^2 = r^2 - (r^2y^2) / 51(r^2y^2) / 51 = 2rr^2y^2 = 102ry^2 = 102\)

Taking the square root of both sides, we get:

\(y = ±√102\)

Since the square root of 102 is approximately 10.0995, we have two values for \(y: y = √102 and y = -√102\).

Substituting y = √102 into equation (4), we can solve for x:

\(x + xr = r(√102)x + x(-1) = -√102x(1 - r) = -√102x = -√102 / (1 - r)\)

Similarly, substituting y = -√102 into equation (4), we can solve for x:

\(x + xr = r(-√102)x + x(-1) = -r√102x(1 - r) = r√102x = r√102 / (1 - r)\)

Now, we have the following points on the boundary of the domain:

\((x, y) = (-√102 / (1 - r), √102)(x, y) = (r√102 / (1 - r), -√102)\)

Let's evaluate the function F(x, y) at these points:

\(F(-√102 / (1 - r), √102) = -√102 / (1 - r) + √102 + (-√102 / (1 - r))√102 + 3F(r√102 / (1 - r), -√102) = r√102 / (1 - r) + (-√102) + (r√102 / (1 - r))(-√102) + 3\)

To find the absolute maximum and minimum values of F(x, y), we need to compare the values obtained at the critical points and the points on the boundary.

Let's summarize the values obtained:

\(F(-1, y) = 2y + 2F(-√102 / (1 - r), √102)F(r√102 / (1 - r), -√102)\)

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