3h/h^2-12h+36 -18/h^2-12h+36

The measures of angle N and O are: 34°

We know that Isosceles triangle has two equal sides and we also know that the sum of angles in a triangle is equal to 180 degrees.

Since an Isosceles triangle has two equal sides, we know that the base angles are equal.

We are given the apex angle as 112 degrees. Thus:

2x + 112 = 180

2x = 180 - 112

2x = 68

x = 34

Thus:

The measures of angle N and O are 34°

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The question, "How many countries are in North America" is not a statistical question.

Statistical questions are defined as the questions which are answered by collecting data from many which will probably vary.

The given question is,

How many countries are in North America"How many countries are in North America.

Although the answers to this from the students may vary because they don't know, the answer to this question is a constant.

This is not something which varies.

Hence this is not a statistical question.

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Answer:

A) 1/6

Step-by-step explanation:

Answer:

the first box is "two or more 1s"

the second box is "0.13"

Step-by-step explanation: Im a K12 Student

The probability that 2 or more out of 6 packs will have an all-star card is given by the equation P = 0.1333

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that 2 or more out of 6 packs will have an all-star card be P

The probability of finding an all-star card in a game pack is 12.5 %

The student has pointed that 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card

The test results are given in set A = { 561673, 366468, 314255, 361362, 838443, 126285, 257231, 768551, 652585, 468113, 123711, 322764, 487626, 783134, 384664 }

The number of trials that represent that 2 or more out of 6 packs have an all-star are = { 468113 , 123711 }

Therefore , the probability is given as

Probability that 2 or more out of 6 packs will have an all-star card P = 2/15

On simplifying the equation , we get

Probability that 2 or more out of 6 packs will have an all-star card P = 0.133

Hence , the probability is 13.33 %

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The two numbers are 7 and 4

Let the first number = x

let the second number = y

The sum of the numbers is 11, in algebra form x + y  = 11

The difference of the two numbers is 3, in algebra form, x - y = 3

To obtain the two unknown numbers, we solve the two equations;

from the first equation, x = 11 - y

substitute the value of x into the last equation;

(11 - y) - y = 3

11 - y - y = 3

11 - 2y = 3

2y = 11 - 3

2y = 8

y = 4

The value of x = 11 - 4 = 7

Thus, the two numbers are 7 and 4

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To find the product of two numbers with a sum of 11 and a difference of 3, solve the system of equations to find the numbers (7 and 4) and multiply them to get the product, which is 28.

To find the product of two numbers whose sum is 11 and whose difference is 3, we can let the two numbers be x and y, with x being the larger number. Therefore, we have two equations from the given information: x + y = 11 and x - y = 3.

Adding these two equations, we get:

Using x = 7 in the first equation, we have:

Now that we have both numbers, we can find their product:

The product of the two numbers is 28.

The point with the given coordinates (4 -2) is h.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

We are given that;

The graph of four points

Now,

One point is k with (-4,2)

One point is g with (2,4)

One point is h with (4,-2)

One point is j with (-2,-4)

Therefore, by the midpoint the answer will be h(4,-2).

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A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's call the faster constructor "A" and the slower constructor "B".

We know that B takes 5 more days than A to complete the job.

Let's call the number of days it takes A to build the room "x".

Then the number of days it takes B to build the room is "x+5".

Now,

We also know that if they work together, they can finish the room in 6 days.

Let's call the fraction of the job that A can do in one day "a"

(which means that B can do "a - 1/6" of the job in one day).

We can use the following equation to solve for "a":

1 = (a + a - 1/6) x 6

Simplifying this equation, we get:

1 = (2a - 1/6) x 6

1 = 12a - 1

12a = 2

a = 1/6

So A can do 1/6 of the job in one day.

We can use this information to solve for "x" and "x+5":

1/x + (1/(x+5)) = 1/6

Multiplying both sides by the least common multiple of the denominators (6x (x+5) ), we get:

6 (x+5) + 6x = x (x+5)

Expanding and simplifying, we get:

x² - 7x - 30 = 0

Solving for x using the quadratic formula, we get:

x = 10 or x = -3

Since x has to be a positive number (because it represents the number of days it takes A to build the room), we can ignore the negative solution.

Now,

It takes A 10 days to build the room, and it takes B 15 days to build the room (since B takes 5 more days than A).

Therefore,

A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

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Harry's monthly payment for the sofa set is approximately $175, which includes principal and simple interest. The estimated total payment amount after 12 months is $2100.

Harry buys a sofa set that costs $2000 and chooses to pay for it in 12 monthly installments. First, to find out the monthly payment without interest, we divide the total cost by the number of installments. So, $2000 divided by 12 months equals to $166.67.

However, there is an interest of 5% on the outstanding amount. To calculate the total interest on an installment plan, we typically would need to calculate the interest on the reducing balance each month; however, for simplicity, let's assume it's 5% of 2000 for the year, which is $100 (5/100 * $2000). Divided by 12 months, that's about $8.33 in interest per month, giving a total monthly payment of $175 ($166.67 + $8.33).

This simplistic approach gives us a rough estimate, and the actual amount could be slightly different due to the reducing balance method used by most financing options. Assuming the simple interest calculation, Harry will pay $175 per month, and in all, he will pay an estimated total of $2100 ($175 * 12) for the sofa set.

To simplify 5√180, break down 180 into its prime factors, take out the square of the prime factors, and simplify.

To simplify 5√180, we can break down 180 into its prime factors which are 2^2 * 3^2 * 5. Then, we can take out the square of the prime factors since we have a square root. This leaves us with 2 * 3 * 5√5. Simplifying further, we get 30√5.

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