if point A is located at -6,3 on a coordinate plane, and point B is located at -6,0 what is the distance between the two points?

Answer: 45%

Step-by-step explanation:

Given:

Find:

The number of groups which contains 9 is 9 and the total number of groups are 20.

So,

P = 9 / 20 = 0.45 = 45%

Therefore, the experimental probability is 45%

Answer:

[(1.7×106)÷(2.63×105)]+7.33

=7.9825439073

I HOPE IT HELP YOU

Step-by-step explanation:

red feeder is smarter

Answer:

7.5

Step-by-step explanation:

The actual fraction is 15/2, which is equivlent to 7.5

Im pretty sure its infinite solutions

Answer:

A slice of a pie weighs 8 ounces. How many pounds do 6 slices of pie weigh?

Answer: 48 pounds

Step-by-step explanation:

Hope this helps :D

Answer:

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

Answer:

a) lilla has 1/5 of the book left to read

b) lilla has 15 pages left to read

Step-by-step explanation:

a) 1/5 + 3/5 = 4/5

b) 75÷ 5= 15

15× 4= 60

75-60= 15

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

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The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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Answer:

The warranty the company should use is of 57,520 mile.

Step-by-step explanation:

Let X denote the tread life of a particular brand of tire.

It is provided that,  \(X\sim N(60,000, 1600^{2})\).

Also provided that the company wants 94% of the tires to outlast the warranty.

Let x denote the warranty .

That is, P (X > x) = 0.94.

⇒ P (X < x) = 0.06

⇒ P (Z < z) = 0.06

The corresponding value of z is -1.55.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520\)

Thus, the warranty the company should use is of 57,520 mile.

The amount of time between interest payments is know as period.

Period is the time between when interests are paid. Period can vary depending on the terms of the investment. Periods can be yearly, quarterly, semi-annually, biweekly or weekly.

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Answer:

≈ -0.0005

Step-by-step explanation:

1/3

The notation P(x) is used to describe the probability of event x occurring.

Divisors

Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:

All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.

Probability

The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.

The probability of rolling a number that is not a divisor of 6 is 1/3.

Answer:

A) 42 boys can count. B) 42/53

Step-by-step explanation:

Good luckk

Answer:

The correct answer is B.

Approximately 200 students received a test score between 70.5 and 80.

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer:

y = 1444

2nd power means 38 x 38 making it equal 1444

\(y = \sqrt{38} \)

The unpaid balance after three years is approximately $26971.

The down payment is 25% of $21,000, which is:

Down payment = 0.25 x $21,000 = $5,250

So the amount financed is:

Amount financed = $21,000 - $5,250 = $15,750

We can use the formula for the unpaid balance on a loan to find the unpaid balance after three years. The formula is:

Unpaid balance = P((1 + r)ⁿ - (1 + r)ᵇ)/(1 + r)ⁿ - 1

where:

P = principal (amount financed)

r = monthly interest rate

n = total number of payments

b = number of payments already made

The monthly interest rate is 9%/12 = 0.0075, and the total number of payments is 6 x 12 = 72.

After three years, the number of payments made is 3 x 12 = 36.

Substituting the values into the formula, we get:

Unpaid balance = $15,750((1 + 0.0075)⁷² - (1 + 0.0075)³⁶)/(1 + 0.0075)⁷² - 1

                          = 15750(1.71255270682)-(0.76414896061)-1

Unpaid balance ≈ $26971

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Answer:

42 gallons

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Answer:

x=5/2, x=-4/3

Step-by-step explanation:

Answers:

===============================================================

Explanation:

Apply the derivative (see attached image for the steps)

You should get \(\frac{dy}{dx} = -\frac{1}{(x+2)^{2}}\\\\\)

The line y = x is really y = 1x+0. We see that it's in the form y = mx+b with m = 1 as the slope. The negative reciprocal of this is m = -1, which is the perpendicular slope. As a rule, any two perpendicular lines always have their slopes multiply to -1 as long as neither line is vertical or horizontal.

So we want the derivative we just found to be set equal to -1, that way we have the x value lead to this derivative slope value.

We want dy/dx = -1

In short, the equation we need to solve is \(-\frac{1}{(x+2)^{2}} = -1\\\\\)

Let's solve for x

\(-\frac{1}{(x+2)^{2}} = -1\\\\\frac{1}{(x+2)^{2}} = 1\\\\(x+2)^{2} = 1\\\\x+2 = \pm\sqrt{1}\\\\x+2 = \pm1\\\\x+2 = 1 \ \text{ or } \ x+2 = -1\\\\x = -2+1 \ \text{ or } \ x = -2-1\\\\x = -1 \ \text{ or } \ x = -3\\\\\)

The smaller x value is -3 while the larger x value is x = -1.

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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