Graph the line whose x-intercept is & and whose y-intercept is 7.

Answer:

4,680

Step-by-step explanation:

I hope this helps!

The required expectation of the probability distribution of a binomial distribution (X) is \(E(etX) = (1 - p + pe^t)^n\)

For a random variable X, we can calculate its moment-generating function by taking the expected value of \(e^(tX)\). In this case, we want to find the moment-generating function for a binomial distribution, where X ~ Bin(n,p).The moment-generating function for a binomial distribution can be found using the following formula:

\(M_X(t) = E(e^(tX)) = sum [ e^(tx) * P(X=x) ]\)

for all possible x values The probability mass function for a binomial distribution is given by:

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

Plugging this into the moment-generating function formula, we get:

\(M_X(t) = E(e^(tX)) = sum [ e^(tx) * (n choose x) * p^x * (1-p)^(n-x) ]\)

for all possible x values Simplifying this expression, we can write it as:

\(M_X(t) = sum [ (n choose x) * (pe^t)^x * (1-p)^(n-x) ]\)

for all possible x values We can recognize this expression as the binomial theorem with (pe^t) and (1-p) as the two terms, and n as the power. Thus, we can simplify the moment-generating function to:

\(M_X(t) = (pe^t + 1-p)^n\)

This is the moment-generating function for a binomial distribution. To find the expected value of e^(tX), we can simply take the first derivative of the moment-generating function:

\(M_X'(t) = n(pe^t + 1-p)^(n-1) * pe^t\)

The expected value is then given by:

\(E(e^(tX)) = M_X'(0) = n(pe^0 + 1-p)^(n-1) * p = (1-p + pe^t)^n\)

Therefore, the required expectation of the probability distribution of a binomial distribution (X) is \(E(etX) = (1 - p + pe^t)^n.\)

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Answer:

B) The mean increases by 2.4 because the mean is 1149 and there 6 outliers.

The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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The curve that describes the level curve of value c of the surface \(z=x^{2}/4 + y^{2}/25\)  where c < 0 is a hyperbola i.e., the correct option is B.

To find the level curve, we set the surface equation equal to the constant value c:
\(c = x^{2}/4 + y^{2}/25\)
Since c is negative, let's rearrange the equation to isolate the terms with x and y:
\(y^{2}/25 - x^{2}/4 = -c\)
Now, we can rewrite the equation in a more recognizable form by dividing both sides by -c:
\(y^{2}/(25 * -c) - x^{2}/(4 * -c) = 1\)
This equation represents a hyperbola, as it has the general form of the equation for a hyperbola centered at the origin:
\(x^{2}/a^{2} - y^{2}/b^{2} = 1\)
Therefore, the level curve is a hyperbola.

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Answer:

67°

Step-by-step explanation:

● cos<PQR = adjacent/hypotenus

● cos<PQR = 5/13

● cos< PQR = 0.384

Using a calculator:

● cos^-1(0.384) = 67°

● <PQR = 67°

Answer:

y = - [x - 1] + 2

Step-by-step explanation:

I think this is right

Im sorry if not :)

The perimeter of rectangle ABCD is 12 sq. Units

The perimeter of rectangle is defined as the sum of all the sides of a rectangle.

For any polygon, the perimeter formulas are the total distance...

The vertices of the rectangle A (-2,1), B (3,1), C (3,4), and D (-2,4)

From the graph,

The coordinates of point Dare (3,3).

Area of rectangle ABCD=l × b=AB×BC

On further calculation we get

Area of rectangle ABCD=6×2

Area of rectangle ABCD=12 sq. Units

Hence, the perimeter of rectangle ABCD is 12 sq units.

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A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answer:

c = 256

Explanation:

Given the equation:

We apply the division law of indices to obtain:

The value of c is 256.

For Mayda, who is 40 years old, the probability of giving birth to an infant with Down syndrome is 1 in 85.

To find out the maternal age-specific risk of Down syndrome,

The maternal age-specific risk of Down syndrome is the probability that a baby will be born with Down syndrome based solely on the age of the mother.

Use the maternal age-specific risk of Down syndrome for the specific maternal age,

For example, the maternal age-specific risk of Down syndrome for a 40-year-old mother is 1 in 85.

So the probability for Mayda, who is 40 years old, is 1 in 85.

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Answer:

(x - 2)² + (y - 6)² = 4

Step-by-step explanation:

Equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle

r = Radius of the circle,

From the graph attached,

Center of the circle → (2, 6)

Radius of the circle = 2 units

Therefore, equation of the circle will be,

(x - 2)² + (y - 6)² = 2²

(x - 2)² + (y - 6)² = 4

Answer:

Is there an error in the question? it has BC = 27 twice and we don't know much about the other sides. Anyway let's try

Step-by-step explanation:

You are told that to go from WXYZ to ABCD the scale factor is 2/3, which means that you multiply by 2/3. So to go the other way round, from ABCD to WXYZ which is what you want, you divide by 2/3, or multiply by 3/2.

So, to find XY you multiply the right side from ABCD by 3/2. I think BC is the right side?

So XY = 27 × 3/2

XY = 81 / 2 or 40.5 or 40 1/2

Answer:

45, 47, and 49.

Step-by-step explanation:

The sum of the three consecutive odd integers is 141. So, n + (n + 2) + (n + 4) = 141. The integers are 45, 47, and 49.

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

2x - 4

Step-by-step explanation:

Q) Simplify: -4(x+1) + 6x

→ -4(x+1) + 6x

→ -4x-4 + 6x

→ 2x - 4

The simplified form of the given polynomial is 2x-4 and the factors are 2 and (x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is -4(x+1)+6x.

Using distributive property, multiply -4 into the bracket, that is

-4x-4+6x

= (-4x+6x)-4

= 2x-4

= 2(x-2)

Therefore, the simplified form of the given polynomial is 2x-4.

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Answer:

the answer is B

Step-by-step explanation:

-4 * box

and you know that is meant to be 8 so you have to ask what would x 4 and give you -8 so you do -8/-4 to give you 2 so that means you know that that is -4 * 2 which would give you - 8 then that will replace all the other missing box.

If chuck earns additional 40,000 of taxable income, 23.52% the marginal tax rate on this income

Chuck, a single taxpayer, earns $76,000 in taxable income and $1 in interest from an investment in city of heflin bonds.

Tax on $76,000

4,617.5 + (76,000 - 40,125) * 22% = 12,510.0

Taxable income 76,000 + 40,000 = 116,000

Tax on $116,000  

14,605.5 + (116,000 - 85,525) * 24% = 21,919.5

Marginal tax rate

(21,919.5 - 12,510) / 40,000 = 23.52%

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Answer:

Between -3 and -2, but closer to -2

Step-by-step explanation:

The square root of 45 is approximately 6.708.

Subtract 9 from that and you get -2.292.

-2.292 is between -3 and -2, but is closer to -2.

Answer:

A straight line can be drawn through all the points and the line passes through the origin.

Answer:

It is rational because 121 is a perfect square.

Answer:

Step-by-step explanation:

I'm sure of it i even used my calculatr... it 13

By unitary method we can say that number of stacks of papers Lashona will pass back  from 140 if each stack conatins 28 papers is 5.

According to the given question.

Total number of papers Lashonna passed back = 140

And one stack is made up of 28 papers.

As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Therefore,

By unitary method number of stacks of papers would be made from 140 if each stack conatins 28 papers

= 140/28

= 5

Hence, by unitary method we can say that number of stacks of papers Lashona will pass back  from 140 if each stack conatins 28 papers is 5.

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Answer:

First, transform the given equation into the slope-intercept form, y = mx + b.

2x - 3y < 12

3y > 2x - 12

y > \(\frac{2}{3}\)x - 4

Since the equation is y > \(\frac{2}{3}\)x - 4, first draw the graph of y = \(\frac{2}{3}\)x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.