Magnus has to play 15 games in a chess tournament. At some point during the tournament Magnus has: ● Won half the games he has played ● Lost one-third of the games he has played ● 2 games have ended in a tie How many games does Magnus have left to play?

Answer:

The answer is irrational

Step-by-step explanation:

The number pi is irrational because its digits go on and on in an unpredictable pattern. So if you added 18 to it, it wouldn't change the fact that the numbers in the decimal places are unpredictable.

Answer:

(-14,-6)

Step-by-step explanation:

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

A. 312

Step-by-step explanation:

For the rectangle center multiply 6*4=24

Area of a trapezoid: ((a+b)/2)h so with this we can determine that the area of one side is 40, since there are 2 sides the area would be 80 total

24+80=104

For 3 bows: 104*3=312

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64

We have that in Tom's survey he obtained that 20% of the students like the yellow color (see graph above).

Then, in Candance's (small) survey, she asked 15 friends. According to Tom's survey, Candance should have obtained that 20% of her friends like the yellow color.

Therefore, we need to find 20% of 15 (friends) to find the expected number of friends that Candance should have had using the results of Tom's survey. Then, we have:

Hence, according to Tom's survey, Candance's friends would have been expected to be 3 to choose (of her 15 friends) yellow (3 is 20% of 15).

The smallest Value that the expression (a - b) can have is 1 when 'a' is 2 and 'b' is 1.

To determine the smallest value that the expression can have, let's analyze the given scenario. We are selecting two different numbers, 'a' and 'b,' from the first twenty-five whole numbers (1 through 25). Since 'a' is stated to be greater than 'b,' we need to find the minimum possible value for the expression.

The expression is not specified, so we'll consider the difference between 'a' and 'b' (a - b) as the expression in this case. To minimize this expression, we need to select the smallest possible values for 'a' and 'b.'

Since 'a' must be greater than 'b' and both 'a' and 'b' are different numbers, the smallest value for 'a' would be 2 (the smallest whole number greater than 1), and the smallest value for 'b' would be 1.

Now we can substitute these values into the expression: (a - b) = (2 - 1) = 1.

Therefore, the smallest value that the expression (a - b) can have is 1 when 'a' is 2 and 'b' is 1.

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Answer:

1065. 1 * 10^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 + x/2 >= -4

x/2 >= -10

x >= -20

solution is b

Answer:

900000000000000

Step-by-step explanation:

Answer:

2-3 is 1 ~

1 + 4 is 5

5+6 = 11

Step-by-step explanation:

So ur answer is 11.

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

i cant understand your question define briefly

Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

Answer:

2x² - xy - 15y²

Step-by-step explanation:

(2x + 5y)(x - 3y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x - 3y) + 5y(x - 3y) ← distribute parenthesis

= 2x² - 6xy + 5xy - 15y² ← collect like terms

= 2x² - xy - 15y²

Answer: -27a³b⁶ + 8a⁹b¹²

Step-by-step explanation:

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Answer:

\({\frac{1}{x^{\frac{5}{3} } }\)

Step-by-step explanation:

Apply exponent rule:  \(a^{-b}=\frac{1}{a^{b}}\)

So:  \(x^{-\frac{5}{3}}={\frac{1}{x^{\frac{5}{3} } }\)

Answer:

1 / 3 sqrt x^5

Step-by-step explanation:

aka B on edge

The probability that the first applicant with advanced training in programming is found on the third interview is  0.0469

Let X denote the number interviewed until 1 has advanced training and follows a geometric distribution with parameter 75%, so

Geometric distribution is: (1-75%)

                                        =0.75

The density function of geometric distribution is,

\(P(X=x)=p(1-p)^{x-1}\), for all x = 1,2,3,....

Now, we calculate the probability that the first applicant with advanced training in programming is found on the third interview:

P(X=3) =\(0.75(1-0.75)^{3-1}\)

          =\(0.75(1-0.75)^{2}\)

          =0.75×0.0625

          =0.0469

Hence, the required probability is 0.0469

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Answer:

Volume is 602.88

Step-by-step explanation:

Here, we are asked to

calculate the volume of the cone.

Mathematically, to do this, we need to use the formula for finding the volume of cone= 1/3 * pi *r^2 * h

now we know that radius is 12 yards and height 4 yards. Plugging these values we have;

V = 1/3 * 3.14 * 12^2 * 4

V = 602.88 inches^3

Answer:

14 feet

Step-by-step explanation:

We solve the above question by using the Greatest Common Factor method

We find the factors of 56 and 98

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet

Answer:

He does not have enough money, as 10 < 10.50.

Step-by-step explanation:

The first step to solve this question is finding the cost of 7 packs of gum.

1 pack costs $1.50.

So 7 packs will cost 7*1.50 = $10.50.

Pablo has 10 dollars, which is less than $10.50(10 dollars and 50 cents). So he does not have enough money.

Using the Law of Sines, the length of the side c is 33.11 and by using sum of the angles in a triangle is equal to 180° angle B is 31°.

Given, a = b = C = 24, A = 104° and B = 45°.

To find the length of the side c, we use the Law of Sines.

Law of Sines:

sin A/a = sin B/b = sin C/c

Let us find angle A and C.

We know that the sum of the angles in a triangle is equal to 180°.

So, angle B = 180° - (104° + 45°) = 31°

Therefore, angle C = 180° - (104°) - 31° = 45°

Applying Law of Sines, we get sin 104°/24 = sin 45°/c

On solving, we get, c = 33.11°.

Therefore, the length of the side c is 33.11.

We have solved the triangle using the Law of Sines. We have found out the length of the side c which is equal to 33.11.

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The local minimum values are 1, and the local maximum values are 0.

To find the local maximum and minimum values of the function M(t) = 6t³ + 9t² - 20t + 6 using the First Derivative Test, we follow these steps:

Find the derivative of the function:

M'(t) = 18t² + 18t - 20.

Set the derivative equal to zero and solve for t to find the critical points:

18t² + 18t - 20 = 0.

Using the quadratic formula, we get:

t = (-18 ± √(18² - 4(18)(-20))) / (2(18))

t = (-18 ± √(324 + 1440)) / 36

t = (-18 ± √1764) / 36

t = (-18 ± 42) / 36.

Simplifying, we have two possible critical points:

t1 = (-18 + 42) / 36 = 24 / 36 = 2/3

t2 = (-18 - 42) / 36 = -60 / 36 = -5/3.

Analyze the intervals formed by the critical points and the endpoints of the domain:

We consider the intervals (-∞, -5/3), (-5/3, 2/3), and (2/3, +∞).

Test the sign of the derivative in each interval:

For (-∞, -5/3), we choose a test value t = -2. Plugging this value into M'(t), we get M'(-2) = 18(-2)² + 18(-2) - 20 = 72 - 36 - 20 = 16, which is positive.

For (-5/3, 2/3), we choose a test value t = 0. Plugging this value into M'(t), we get M'(0) = 18(0)² + 18(0) - 20 = -20, which is negative.

For (2/3, +∞), we choose a test value t = 1. Plugging this value into M'(t), we get M'(1) = 18(1)² + 18(1) - 20 = 16, which is positive.

Apply the First Derivative Test:

Since the derivative changes from positive to negative at t = 0, this indicates a local maximum. And since the derivative changes from negative to positive at t = 1, this indicates a local minimum.

Therefore, the local minimum value is at t = 1, and the local maximum value is at t = 0.

The local minimum values are 1, and the local maximum values are 0.

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