How do you solve 8x-2(x+1)=7x+8

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

to learn more about null hypothesis visit:

https://brainly.com/question/16261813

#SPJ4

Answer: Mean is 7 and median is 7

Step-by-step explanation:

2+6+3+10+9+8+10+6+6+10/10

=7

2,3,6,6,6,8,9,10,10,10

6+8/2

=7

Answer:

Terry= mean is 7, median is 7

David= mean is 4.4, median is 4

Step-by-step explanation:

I do not really understands what it means by compare them.

Answer:

The above one

The formula should be the same. most likely

Answer:

D

Step-by-step explanation:

Dustin's mean number of situps is 42.5714285714, while Jacob's is 41.4285714286.

You can get the mean of Dustin's data by adding all of the data of Dustin's situps together and dividing by 7, and the same thing with Jacob's.

Answer:

The mean is lower than the median which is lower than the mode.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

the angle of elevation is 11.537 degrees

Step-by-step explanation:

Simplifying the expression further, we get `\((4x + 3)^(1/2) - (x + 8)(4x + 3)^(-1/2) = (4x - 5)(4x + 3)^(-1/2)\)`. Therefore, the simplified expression is \(`(4x - 5)(4x + 3)^(-1/2)`\).

The given expression is \(`(4x + 3)^(1/2) - (x + 8)(4x + 3)^(-1/2)`\)

Let us now factorize the numerator `4x + 3`.We can write \(`4x + 3` as `(4x + 3)^(1)`\)

Now, we can write \(`(4x + 3)^(1/2)` as `(4x + 3)^(1) × (4x + 3)^(-1/2)`\)

Thus, the given expression becomes `\((4x + 3)^(1) × (4x + 3)^(-1/2) - (x + 8)(4x + 3)^(-1/2)`\)

Now, we can take out the common factor\(`(4x + 3)^(-1/2)`\) from the expression.So, `(4x + 3)^(1) × (4x + 3)^(-1/2) - (x + 8)(4x + 3)^(-1/2) = (4x + 3)^(-1/2) [4x + 3 - (x + 8)]`

Simplifying the expression further, we get`\((4x + 3)^(1/2) - (x + 8)(4x + 3)^(-1/2) = (4x - 5)(4x + 3)^(-1/2)\)

`Therefore, the simplified expression is `(4x - 5)(4x + 3)^(-1/2)

Given expression is \(`(4x + 3)^(1/2) - (x + 8)(4x + 3)^(-1/2)`.\)

We can factorize the numerator \(`4x + 3` as `(4x + 3)^(1)`.\)

Hence, the given expression can be written as `(4x + 3)^(1) × (4x + 3)^(-1/2) - (x + 8)(4x + 3)^(-1/2)`. Now, we can take out the common factor `(4x + 3)^(-1/2)` from the expression.

Therefore, `(\(4x + 3)^(1) × (4x + 3)^(-1/2) - (x + 8)(4x + 3)^(-1/2) = (4x + 3)^(-1/2) [4x + 3 - (x + 8)]\)`.

Simplifying the expression further, we get \(`(4x + 3)^(1/2) - (x + 8)(4x + 3)^(-1/2) = (4x - 5)(4x + 3)^(-1/2)`\). Therefore, the simplified expression is `\((4x - 5)(4x + 3)^(-1/2)\)`.

To know more about numerator

https://brainly.com/question/20712359

#SPJ11

Answer:

\(x = 20\) --- x intercept

\(y = 24\) --- y intercept

Step-by-step explanation:

Given

\(y = -1.2x + 24\)

\(Amount = \$120\)

Required

Determine the intercepts

To find the x intercept;

Set \(y = 0\)

This gives:

\(0 = -1.2x + 24\)

Collect Like Terms

\(1.2x = 24\)

Make x the subject

\(x = \frac{24}{1.2}\)

\(x = 20\)

To find the y intercept;

Set \(x= 0\)

This gives:

\(y = -1.2 * 0 + 24\)

\(y = 0 + 24\)

\(y = 24\)

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Step 3: Solve for y

Answer:

angle BDC= 95°............

Step-by-step explanation:

<NDC=<NCD (Given)

<NCD=35°.

<CAN=<DBN (Given)

<DBN=50°.

therefore, <CND = 180-35-35=110.

and <CND and <DNB are linear pair.

<CND+<DNB=180°

<DNB=180-110

<DNB=70.

therefore, <BDN = 180-50-70 = 60.

therefore, <BDC= 35°+60°=95°.

hope this helps you.

There are 2520 ways to seat 8 people around a circular table where two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors.

There are a total of seven different ways for eight individuals to sit around a circular table: (8-1)!=7!. We are using the concept of circular permutation.

By using circular permutation we have,

7!=5040

All of the seating is included in these 5040 ways. Given that everyone has the same two neighbors, regardless of whether they are left or right neighbors, two seating are said to be equal. To achieve the desired outcomes, we must divide the total number of methods by 2.

5040/2

=2520 ways

Therefore, there are 2520 ways to seat 8 people around circular table where two seating are considered the same.

To learn more on circular permutation here:

https://brainly.com/question/2855943#

#SPJ4

Answer:

n = 17

Step-by-step explanation:

+(-6) is the same thing as n - 6 = 11 to take out the + sign in order to avoid confusion.  Add 6 on both sides to get your n value which is 17.

Answer:

Step-by-step explanation:

here you go mate

step 1

n +-6 = 11  equation/Question

step 2

n +-6 = 11  add 6 to each side

n-6(+6)=11(+6)

answer

n=17

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

The rational values are :

and

The Irrational values are :

and

Answer:

hello i want 30 ponits and by the way im a 4th grader and lets be friends

For the budget constraint X + Y = 12, there is no optimal bundle that maximizes the utility function U(X, Y).

A) To find the optimal bundle, we need to maximize the utility function U(X, Y) subject to the budget constraint 3X + 5Y = 60.

Let's solve this problem using the Lagrange multiplier method:

1. Set up the Lagrangian function:

L(X, Y, λ) = -(X - 7)^2 - (Y - 7)^2 + λ(3X + 5Y - 60)

2. Find the first-order conditions:

∂L/∂X = -2(X - 7) + 3λ = 0

∂L/∂Y = -2(Y - 7) + 5λ = 0

∂L/∂λ = 3X + 5Y - 60 = 0

3. Solve the system of equations:

-2X + 14 + 3λ = 0    --(1)

-2Y + 14 + 5λ = 0    --(2)

3X + 5Y - 60 = 0     --(3)

From equations (1) and (2), we can solve for X and Y:

X = (14 - 3λ) / 2

Y = (14 - 5λ) / 2

Substituting these expressions into equation (3), we can solve for λ:

3(14 - 3λ) / 2 + 5(14 - 5λ) / 2 - 60 = 0

Simplifying and solving the equation, we find λ = -4.

Substituting λ = -4 back into X and Y expressions:

X = (14 - 3(-4)) / 2 = 13

Y = (14 - 5(-4)) / 2 = 9

Therefore, the optimal bundle is X = 13 and Y = 9.

B) To find the optimal bundle for the budget constraint X + Y = 12, we can rewrite it as Y = 12 - X.

Substituting this into the utility function, we have U(X) = -(X - 7)^2 - (12 - X - 7)^2.

To find the optimal bundle, we need to find the maximum value of U(X) by taking the derivative with respect to X and setting it equal to zero:

dU/dX = -2(X - 7) + 2(12 - X - 7) = 0

Simplifying the equation, we find:

-2X + 14 + 2X - 40 = 0

-26 = 0

Since -26 ≠ 0, there is no value of X that satisfies the first-order condition for optimization.

To read more about constraint, visit:

https://brainly.com/question/30667875

#SPJ11

The correct statement that assigns the value 1.667 to the array "fractions" at element 9 is not included in the options given.

It is important to note that arrays start counting from 0, so the 9th element would be at index 8. If there was a statement like "fractions[8] = 1.667", then that would be the correct answer.

However, since none of the options include the correct index, none of them are assigning the value 1.667 to the 9th element of the "fractions" array.

None of the options have the index of 9, and therefore cannot assign a value to that specific element

Learn more about arrays at https://brainly.com/question/15869076

#SPJ11

The required slope-intercept form of the line is y = x /2 - 4.

Given that,
A line has a slope of 1/2 and passes through the point (10, 1). What is its equation in slope-intercept form is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

y - y₁ = m (x - x₁)

Substitute the value in the above equation,
y -1 = 1/2(x - 10)
y = x /2 -5 + 1
y = x/2 -4

Thus, the required slope-intercept form of the line is y = x /2 - 4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

Step-by-step explanation:

First, we need to put this standard form into slope-intercept form

To do this you need to move the "y" to all by itself

-25x+25x-20y=100-25x

-20y=100-25x

y=5/4x-5

Answer:

y=5/4x-5

The slope is-5/4 and the -intercept is (0,5)

Locating the y-intercept on a graph requires knowing the value of y at x=0. This is where the graph intersects the y-axis.

25x−20y=100

20y = 100 + 25x

20y=100+25x

y = \(5 + \frac{5}{4}\)

She concluded that the slope is   \(\frac{5}{4}\)

​and the y-intercept is (0,5).

y = mx + b where m is the slope and b is the y-intercept. So, the slope is 5/4 and the y-intercept is -5.

The slope is-5/4 and the -intercept is (0,5)

To learn more about slop refer to:

https://brainly.com/question/3493733

#SPJ2

The present value of receiving $1,354.00 per year forever, with the first payment next year and a discount rate of 15.00%, is approximately $9,026.67.


To calculate the present value of an infinite cash flow, we use the formula: Present Value = Cash Flow / Discount Rate. In this case, the cash flow is $1,354.00 per year, and the discount rate is 15.00%. By plugging these values into the formula, we get Present Value = $1,354.00 / 0.15 = $9,026.67, rounded to two decimal places.

This means that receiving $1,354.00 per year forever has a present value of approximately $9,026.67. The present value represents the worth of the infinite cash flow in today’s dollars, considering the time value of money and the given discount rate.

Learn more about Cash Flow here: brainly.com/question/33221318
#SPJ11

Answer: x = -6

Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.

y = x - 6

y = 2x

2x = x - 6 (substitute the y value into the equation)

1x = -6 (subtract x on each side)

x = -6 (1x is basically saying x so you do not need to divide)

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

\( 3x(2x - 8) -4(2x - 8) \)

\( 3x*2x -3x*8 -4*2x -4*-8 \)

\( 6x^2 - 24x - 8x + 32 \) (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

\( 6x^2 - 32x + 32 \)

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=384 \end{cases}\implies 384=\cfrac{4\pi r^3}{3}\implies 384(3)=4\pi r^3 \\\\\\ \cfrac{384(3)}{4\pi }=r^3\implies \sqrt[3]{\cfrac{384(3)}{4\pi }}=r\implies 4.5\approx r\)

Answer:

\( \frac{4}{3} \pi {r}^{3} = 384\)

\(r = 4.5 \)

So the radius of this sphere is approximately 4.5 feet.

Answer: 4 ways of solving one-step equations are the following: Adding, Substracting, Multiplication and Division. If we add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Adding, Substracting, multiplication and division

We have four methods for solving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of an equation will stay equal if we add the same integer to both sides. Both sides of an equation will stay equal if we deduct the same integer from both sides. To solve systems of equations, three approaches are used: graphing, substitution, and elimination.

Fong, Alissa. A system of equations is made up of two or more equations with the same variables. A solution to an equation system is the point at which the lines intersect. Graphing, substitution, elimination, and matrices are the four methods for solving systems of equations.

To learn more about  solve equations to refer:

https://brainly.com/question/11653895

#SPJ4

Angle ZWY has a measure of 13 degrees.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. a geometric shape made up of two lines that meet at the same point or two planes that meet at the same line. the distance in degrees between such lines or planes.

Given,

Angle WXY has a measure of 133 degrees

Angle ZYX has a measure of 34 degrees

Angle ZWY:

= 180 - 133 -34

= 13

Angle ZWY has a measure of 13 degrees.

To learn more about angle, visit:

https://brainly.com/question/18313843

#SPJ13

Step-by-step explanation:

f(x) = 2x + 1. Let y = f(x).

Then y = 2x + 1, 2x = y - 1, x = (y - 1)/2.

If h(x) is the inverse of f(x), then h(x) = (x - 1)/2 = 0.5x - 0.5.

Given the logistic equation of a population of frogs: \(`dP/dt = kP(1200 - P)`.\)

Here, `P(t)` represents the number of frogs at time `t` in months and `k` is a growth parameter. Let's sketch the graph of `P(t)` over the first 18 months in the coordinate plane.

Graph of `P(t)` over the first 18 months The graph is shown below: We can observe that the graph starts at `P(0) = 10` and grows to a maximum of around `P(14) = 600`.Then, it stabilizes and reaches the carrying capacity at `P(18) = 1200`.

The roots of the equation are

`P(t) = 0` and

`P(t) = 1200`.

The `x-axis` represents time (`t`) in months. The\(`y-axis`\)represents the number of frogs (`P(t)`).

The `y-intercept` is \(`P(0) = 10`\).

The `x-intercept` is the carrying capacity\((`P(t) = 1200`).\) The `asymptotes` are the lines

\(`P(t) = 0`\) and

\(`P(t) = 1200`.\)

To know more about logistic visit:

https://brainly.com/question/32571029

#SPJ11

Answer:

You add 4 1/3 + 3 2/3 and you'll have 8. Therefore, her shake has eight cups in total.

Divide price by quantity:

3.00 / 12 = $0.25 per can.

In terms of the top 5%, the exact net worth that would place an individual in this category can vary depending on the time and location.

However, as of 2021, the median net worth of American households was around $121,000, so being in the top 5% would likely mean having a net worth significantly higher than this amount.

It is important to note that having a high net worth does not guarantee financial security, as factors such as income and spending patterns also play a role in overall financial well-being.

Nevertheless, having a high net worth can provide greater flexibility and security in terms of financial planning and decision-making.

to know more about net worth refer here

https://brainly.com/question/1425497#

#SPJ11

Answer:

Linear

Step-by-step explanation:

The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to

y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation

y - mx + b where m is the slope and m is the y intercept.