You have 25 coupons for the hotel A, and 20 coupons for the hotel B. What is the maximum number of coupons for the hotel C that you can use if you are not allowed to spend two consecutive nights at the same hotel? How would I set up an equation to solve this problem?

The probability that her third child would be a girl is 50%.

Probability:

In math probability means the possible of happening a particular event amount the total number of event.

Given,

Here we need to find if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl.

We already know that, there are two sex chromosomes X and Y.

And in the humans are diploid having two sex chromosomes, in females a pair of the X chromosome is found while in males an X and Y chromosome is present.

So, there is  50% chance that the subsequent child is going to be a girl because it entirely depends upon the chromosome of the sperm which fertilizes the ovum.

For each pregnancy features a  50% chance of leading to a boy or girl and this doesn't include the likelihood of multiples.

Here already having 2 girls previously doesn't affect the probabilities of any resulting pregnancy.

Therefore, the prospect of getting a girl remains at  50%.

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Answer:

the answer isC n D= {1,7}

Answer:

The intersection in them is {1, 7}

Step-by-step explanation:

Let us revise some definition in the  operation of sets of numbers

→ Ex: set A = {1, 2, 3, 5, 6} and set B = {4, 5}, then

Let us solve the problem

∵ C = {0, 1, 3, 5, 7} , D = {1, 2, 4, 6, 7}

→ The common elements in the two sets are 1 and 7

∴ C ∩ D = {1, 7}

∴ The intersection in them is {1, 7}

Answer:

1/3

Step-by-step explanation:

\(g(f(x))=x \\ \\ g'(f(x))f'(x)=1 \\ \\ g'(f(x))=\frac{1}{f'(x)} \\ \\ g'(f(x))=\frac{1}{\cos x+2} \\ \\ g'(f(0))=\frac{1}{\cos(0)+2} \\ \\ g'(1)=\frac{1}{3}\)

Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}

Step-by-step explanation:

"U" is the union of two sets. The no of values in Union of two sets G , H

is G U H = G + H - (G ∩ H)

To learn more about sets notation,

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

As given in the question,

Given expression is equal to :

8.2 x 19

Apply compensation method to make the calculation easily and get the value of the given expression we have,

8.2 x 19

Rewrite 19 as ( 20 -1 ) we get,

= 8.2 × ( 20 - 1 )

Apply distributive law multiplication over subtraction we get,

= ( 8.2 × 20 ) - ( 8.2 × 1 )

= 164.0 - 8.2

= 155.8

Therefore, value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

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Answer:

12x² + 6xy - 30x

Step-by-step explanation:

Given expression,

→ 6x(2x + y - 5)

Simplifying the given expression,

→ 6x(2x + y - 5)

→ (6x × 2x) + (6x × y) - (6x × 5)

→ 12x² + 6xy - 30x

Thus, answer is 12x² + 6xy - 30x.

Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.

The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the

interest rate. It is calculated by dividing 72 by the interest rate.

For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.

Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.

And for Manuel's investment to double: 72 / 7.25 = 10 years.

Since Manuel's investment will double in approximately 9 years, he will double his money first.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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Answer:

D

Step-by-step explanation:

Answer:

180-130=50

Step-by-step explanation:

done hope you like it

i use the 180 because its a straight line from the x to the 130

Answer:

36

Step-by-step explanation:

A metal rod is 3/4 meters long. It will be cut into pieces that are each 1/48 meters long. How many pieces will be made from the rod?

let n = number of pieces the rod would be cut into

the following equation can be used to represent the question

3/4 x 1/n = 1/48

divide both sides of the equation by 3/4

1/n = 1/48 ÷ 3/4

1/n = 1/48 x 4/3 = 1/36

n = 36 rods

Answer:a

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

0.64 x 2000 = 1280

2000 - 1280 = 720

No. of people supporting the home team out of 2000 people is 720.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, At a basketball game, 64% were supporting the visiting team.

The percentage of people supporting the home team is

(100 - 64)% = 36%.

Now, Total number of people who came to watch is 2000.

∴ No. people supporting the home team is,

= (36/100)×2000.

= 36×20.

= 720 people.

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Answer:

Step-by-step explanation:

Area of a rectangle

Rectangle B

Rectangle D

Answer:

Options B and D

Step-by-step explanation:

Step 1:  Determine the area of Option A

\(A = l * w\)

\(A = (5/8\ in) * (10/3\ in)\)

\(A = 50/24\ in^2\)
\(A = 25/12\ in^2\)

Step 2:  Determine the area of Option B

\(A = l * w\)

\(A = (5/3\ in) * (3/8\ in)\)

\(A = 15/24\ in^2\)

Step 3:  Determine the area of Option C

\(A = l * w\)

\(A = (8/6\ in) * (7/4\ in)\)

\(A = 56/24\ in^2\)

\(A = 7/3\ in^2\)

Step 4:  Determine the are of Option D

\(A = l * w\)

\(A = (3/6\ in) * (5/4\ in)\)

\(A = 15/24\ in^2\)

Step 5:  Determine the area of Option E

\(A = l * w\)

\(A = (5/15\ in) * (3/9\ in)\)

\(A = 15/135\ in^2\)

\(A = 1/9\ in^2\)

Answer:  Options B and D

Answer:is

=x(x-4)-45

Step-by-step explanation:q= (x+5) (x-9)

in the mathematical rules when the variables are in the brackets it means we have to remove the brackets by,multiplying the first variable to the second variable in another bracket, and then so on.

=x^2-9x+5x-45

=x^2-4x-45

by simplifying completely it will become,

=x(x-4) -45

that's the answer.

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

A graph of the given equation (x - y = 6) is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would rewrite the given equation in standard form as follows:

x - y = 6

Adding y to both sides of the equation, we have the following:

x - y + y = 6 + y

x = 6 + y

Rearranging the equation, we have the following:

y = x - 6

By critically observing the graph (see attachment), the y-intercept is equal to -6 and the x-intercept is equal to 6.

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Step-by-step explanation:

A compact disc with a diameter of 120.

the area=π(d/2)²=π×(120/2)²=60²π=3600π or 11309.73units²

Answer: (y,x)

Step-by-step explanation:

smth like that and it is the y-axis and x-axis

The teacher has to select four members out of a math club of twelve members. There are 495 possible ways for her to make the selection.

To determine the number of ways the teacher can select four members from a math club of twelve, we can use the concept of combinations. A combination is a selection of items without regard to the order in which they are chosen. In this case, the teacher needs to select four members, and the order in which they are chosen does not matter.

The formula for calculating combinations is given by "n choose k," which is denoted as C(n, k) or nCk. In this case, the teacher needs to choose four members out of twelve, so the calculation would be 12C4.

Using the formula for combinations, 12C4 = 12! / (4!(12-4)!), where "!" represents the factorial function. Simplifying the expression gives us 12! / (4!8!).

The factorial function represents the product of all positive integers up to a given number. So, 12! is equal to 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Simplifying further, we have 12! / (4!8!) = (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1).

Calculating the expression gives us (11880) / (24) = 495.

Therefore, there are 495 possible ways for the teacher to make her selection of four members from the math club of twelve.

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The net return, in this case, is -$3,650, indicating a negative return. A negative net return suggests that the investment is not profitable and results in a loss of $3,650.

The net return can be calculated by multiplying the price and yield, and then subtracting the cost. In this scenario, with a price of $350, yield of 11 tons, and a cost of $7,500, the net return is calculated as follows:

Net Return = (Price * Yield) - Cost

= ($350 * 11) - $7,500

= $3,850 - $7,500

= -$3,650

The net return in this case is -$3,650, indicating a negative return. This means that the cost of $7,500 exceeds the revenue generated from the given price and yield values of $3,850. A negative net return suggests that the investment is not profitable and results in a loss of $3,650. It is important to consider these financial aspects when making decisions related to pricing, yield, and cost in order to achieve positive net returns and profitability.

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The answer is B

because

-2(5 - 3)= -4

then,

-10-6= -16

-10+6= -4

So -10+6 is the answer

Answer:

Step-by-step explanation:

10/40

Answer:

The answer is x= \(\frac{9+\sqrt{69}}{2}\), x= \(\frac{9-\sqrt{69}}{2}\)

Step-by-step explanation:

x^2=a

-9x=b

3=c

Plug into formula.

Equation: \(\frac{9+-\sqrt{(-9)^2-4(1)(3)}}{2}\)

Simplify the equation.

Equation: \(\frac{9+-\sqrt{81-12}}{2}\)

Subtract 81 and 12.

Equation: \(\frac{9+-\sqrt{69}}{2}\)

Spit into two equations

Equation 1: \(\frac{9+\sqrt{69}}{2}\)

Equation 2: \(\frac{9-\sqrt{69}}{2}\)

Hope this helps!

awnser

The correct answer is C. f(x) = x - 7

Step-by-step explanation:

In order to find this, you simply need to know that vertical shifts can be added on to the end of parent equations as constants. Since this is a downward shift, we use a negative number.