AB =8 and AD=5. What is BC

The probability that 115 or fewer of the 250 homes were partially financed by the seller is approximately 0.9733.

This problem can be solved using the binomial distribution, where

n = 250 is the total number of home sales in the sample.

p = 0.4 is the probability that any given home sale is partially financed by the seller.

X is the number of home sales in the sample that are partially financed by the seller, which we are interested in.

The probability of X successes in n independent Bernoulli trials, each with success probability p, is given by the probability mass function of the binomial distribution

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n without regard to order.

To solve this problem, we need to calculate the cumulative probability of 115 or fewer home sales being partially financed by the seller

P(X ≤ 115) = P(X = 0) + P(X = 1) + ... + P(X = 115)

We can use a statistical software or calculator to calculate this probability directly, or we can use the normal approximation to the binomial distribution, which is valid when n is large and p is not too close to 0 or 1.

The mean of the binomial distribution is μ = np = 250 * 0.4 = 100, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(60) ≈ 7.746.

To use the normal approximation, we standardize the random variable X as follows

Z = (X - μ) / σ

Then, we can use the standard normal distribution to calculate the probability

P(X ≤ 115) ≈ P(Z ≤ (115 - μ) / σ)

P(Z ≤ (115 - μ) / σ) = P(Z ≤ (115 - 100) / 7.746) ≈ P(Z ≤ 1.934)

Using a standard normal table or calculator, we find that P(Z ≤ 1.934) ≈ 0.9733.

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Answer:she will have $25 left .

Step-by-step explanation:

0.25(60)  = 15

$40 - $15 = $ 25

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can best determine this by putting the quadratic into work (vertex) form by completing the square. Move the -3 over to the other side to get

x^2 - 2x = 3. Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1, so we add that to both sides:

x^2 - 2x + 1 = 3 + 1 and do some simplifying to both sides. The left side is a perfect square binomial:

(x - 1)^2 = 4

Move the 4 back over to get the vertex form of the quadratic:

y = (x-1)^2 - 4

The "a" value is a 1. Since p is found using a, and the coordinates of the focal point are (h, k + p), we need the vertex and the value of a. Now we have both. The value of p is found in:

\(p=\frac{1}{4lal}\) (those are absolute value symbols), hence, our p value is 1/4.

The coordinates of the focal point are (1, -4 + 1/4) or (1, -15/4)

Answer:

y=-2x+5

Step-by-step explanation:

For every increase in x, y decreases by 2

so the slope is -2

You can solve for the y-intercept by going backward, 1-1=0, 3+2=5

the y-intercept is (0,5)

Using the slope intercept equation format, the answer is y-2x+5

The annual effective rate of interest is approximately 3.218%.

To find the annual effective rate of interest, we can use the formula for the present value of a perpetuity:

PV = C / i

where PV is the present value, C is the cash flow, and i is the interest rate.

In this case, the present value (PV) is given as 0.5 and the cash flow (C) is 1, as the perpetuity pays 1 at the end of every 6 years. Plugging these values into the formula, we have:

0.5 = 1 / i

Rearranging the equation to solve for i, we get:

i = 1 / 0.5

i = 2

So the annual effective rate of interest (i) is 2.

However, since the interest is paid at the end of every 6 years, we need to convert the rate to an annual rate. We can do this by finding the equivalent annual interest rate, considering that 6 years is the period over which the cash flow is received.

To find the equivalent annual interest rate, we use the formula:

i_annual = \((1 + i)^(^1^ /^ n^)\) - 1

where i is the interest rate and n is the number of periods in one year. In this case, n is 6.

Plugging in the values, we have:

i_annual =\((1 + 2)^(^1 ^/^ 6^) - 1\)

i_annual = \((3)^(^1 ^/^ 6^) - 1\)

i_annual ≈ 0.03218

So the annual effective rate of interest (i_annual) is approximately 3.218%.

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Answer: A

Step-by-step explanation:

Before we find the equation of the perpendicular line, we have to find the slope of the original line.

The slope-intercept form of the equation is y=mx+b, so let's change that.

\(-2x+3y=-6\)            [add both sides by 2x]

\(3y=2x-6\)                  [divide both sides by 3]

\(y=\frac{2}{3} x-2\)

This gives slope as \(\frac{2}{3}\).

There are 2 things for us to do to find the slope of a perpendicular line.

1. reciprocal

2. change sign

Let's apply those rules.

1. \(\frac{3}{2}\)

2. \(-\frac{3}{2}\)

Now, we can find the perpendicular lines by plugging in our new point.

\(y=-\frac{3}{2} x+b\)          [plug in x and y]

\(-1=-\frac{3}{2}(6)+b\)     [multiply]

\(-1=-9+b\)          [add both sides by 9]

\(b=8\)

Now we can plug in for our slope-intercept equation.

\(y=-\frac{3}{2} x+8\)

Since answers are in standard form, we have to manipulate it.

\(y=-\frac{3}{2} x+8\)        [add both sides by \(\frac{3}{2} x\)]

\(\frac{3}{2}x+y=8\)            [multiply both sides by 2]

\(3x+2y=16\)

Therefore, our final answer is A.

it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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Answer:

\(y = - \frac{3}{2} x + 1\)

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

slope of given line

\( = \frac{0 - ( - 3)}{ - 2 - 0} \)

\( = \frac{0 + 3}{ - 2} \)

\( = - \frac{3}{2} \)

\(y = - \frac{3}{2} x + c\)

Given that the y- intercept is 1, c= 1.

\(y = - \frac{3}{2} x + 1\)

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

1 kg = 2.2 pounds ( rounded to the nearest tenth)

500 kg x 2.2 = 1,100 pounds

1100 pounds is less than 2,500 so the forklift can lift it.

Answer:

2,500= 1133.981

Step-by-step

The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237

= 1133.980925 kg

0.45359237  this is the conversion rate therefore 1134 is the answer (was rounded)

The smallest of the two integers is 61

Represent the consecutive numbers with x and y, where x is the smallest of the two numbers.

So, we have the following system of equations

x + y =123

y = x + 1

Substitute x + 1 for x in x + y =123

x + x + 1 =123

Subtract 1 from both sides

x + x =122

Evaluate the like terms

2x = 122

Divide both sides by 2

x = 61

Hence, the smallest of the two integers is 61

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Answer:

I would love to help but the image is not there on my screen. :(

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

To calculate the price of a common stock that pays regular dividends, we could begin with the general formula for the valuation of a dividend-paying stock.

The formula is known as the Dividend Discount Model (DDM) or the Gordon Growth Model. It calculates the present value of all future dividends and the stock's expected growth rate. The general formula is:

Price of Stock = Dividend / (Required Rate of Return - Dividend Growth Rate)

In this formula:

- Dividend refers to the expected dividend payment for a specific period.

- Required Rate of Return is the minimum rate of return an investor expects to receive from the stock. It represents the opportunity cost of investing in that stock.

- Dividend Growth Rate is the estimated rate at which the company's dividends are expected to grow over time.

By plugging in the appropriate values for the dividend, required rate of return, and dividend growth rate, you can calculate the price of a common stock using this formula. It's important to note that this formula assumes a constant growth rate in dividends, which might not be applicable for all stocks.

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Answer:

Slope: -11/10

Step-by-step explanation:

always do    y2 - y1/x2 - x1

12 - 1 / -19 + 9 = -11/10

it is shown that if events A and B are independent, then A' and B are also independent.

If events A and B are independent, it can be shown that the complement of event A (A') and event B are also independent. This means that the occurrence or non-occurrence of event A does not affect the probability of event B, and vice versa.

The proof involves using the definition of independence and the complement rule.

To show that A' and B are independent, we need to demonstrate that the probability of the intersection of A' and B is equal to the product of their individual probabilities.

Let's denote P(A) as the probability of event A, P(B) as the probability of event B, and P(A') as the probability of the complement of event A.

By the definition of independence, we have P(A ∩ B) = P(A) * P(B).

Now, using the complement rule, we know that P(A') = 1 - P(A).

Next, we can express event A' and B in terms of their intersection:

A' ∩ B = (A ∪ A') ∩ B

= (A ∩ B) ∪ (A' ∩ B)

Using the inclusion-exclusion principle, we can rewrite the above equation as:

P(A' ∩ B) = P(A ∪ A') + P(B) - P(A ∩ B)

Since A and A' are mutually exclusive, we have P(A ∪ A') = P(A) + P(A') = P(A) + 1 - P(A) = 1.

Substituting these values into the equation, we get:

P(A' ∩ B) = 1 + P(B) - P(A ∩ B) - P(A ∩ B)

= 1 + P(B) - 2 × P(A ∩ B)

Now, we can rewrite P(A ∩ B) using the independence of A and B:

P(A' ∩ B) = 1 + P(B) - 2 × P(A) × P(B)

= 1 + P(B) × (1 - 2 × P(A))

Since P(A) and P(B) are independent events, we have P(B) * P(A) = P(A ∩ B), which simplifies the equation to:

P(A' ∩ B) = 1 - P(A') * P(B)

Therefore, we have shown that if events A and B are independent, then A' and B are also independent.

The probability of the intersection of A' and B is equal to the product of their individual probabilities, which confirms their independence.

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The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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Answer:

48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Hope this helps you!

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A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

No solutions

Step-by-step explanation:

1. - x +3 > 0  ⇒ x < 3

Not an answer as x must be smaller than 3

2. - x +3 < 0  ⇒ x > 3

Not an answer as x must be greater than 3

There are no solutions to the given equation

Steps to solve:

3|-3x + 9| = -18

~Divide 3 to both sides

|-3x + 9| = -6

Since the absolute value cannot be less than zero, there are no solutions.

Best of Luck!

Answer:

18, 27, 72

Step-by-step explanation:

Let's say the first number is x

First number: x

Second number: x + 9

Third number: 4x

The sum of the 3 numbers is 117

Write an equation: first number + second number + third number = 117

x + x + 9 + 4x = 117

Combine like terms

6x + 9 = 117

Minus 9 on both sides

6x = 108

Divide by 6 on both sides to isolate x

x = 18

Substitute each number using the given value of x

First number: 18

Second number: 27

Third number: 72

Hope this helps :)

Have a great day!

Answer:

18, 27, 72

Step-by-step explanation:

let the number be x

first number = x

second number = x + 9

third number = 4x

sum of numbers is 117

set up equation: x + x + 9 + 4x = 117

simplify (combine like terms): 6x = 108

solve: x = 18

so, the first number is 18, the second number is 27 and the third number is 72

The work to empty a parabolic tank filled with water which can be seen as the rotation about the y-axis of the function is -ρgπ(a³ - b²(3a - 2b))/6.

The equation of parabola is y = x². Therefore x = √y. Let us assume the parabolic tank is of height (a-b) where a is the y-coordinate of the top of the tank and b is the y-coordinate of bottom of the tank.

The work done to empty the parabolic tank filled with water is the integral (summation) of the work done to remove a circular area strips of height dy from height y to b.

Work done = ∫dW

= ∫FΔy

= ∫ρgdVΔy

= ∫ρg(y - a)dV  

Volume of the circular area strip ,dV = πr²dy  

= πx²dy

= π(√y)²dy

= πydy

Total work done to empty the tank = ₐ∫ᵇρg(y - a)dV

= ₐ∫ᵇρgπy(y - a)dy

= ρgπ[y³/3 - ay²/2]ₐᵇ

= ρgπ(b³/3 - a³/3 - ab²/2 + a³/2)

= -ρgπ(a³ - b²(3a - 2b))/6

The work done is negative when emptying the tank.

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Answer:

-12y + 48 !

Step-by-step explanation:

hope this helps :))

Answer:

48 - 12y

Step-by-step explanation:

6(7-3y)+6(y+1)

Distribute 6.

(42 - 18y) + (6y + 6)

Now add the "y"

42 - 12y + 6

Now add the intergers

48 - 12y