Identify all values that are irrational.
-1/3
-3
13
Pi/3​

Given that of the new books the new books the new liberian ordered;

-1/3 are science

-2/5 are biography

Let s, b and f represent the fraction of science, biography and fiction of the new book.

substituting the values of s and b given;

Answer:

yep

Step-by-step explanation:

Answer: Yeah-     I

..................................I

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

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Answer:

a) $2000

b) 15000(3.20)/(24+x) = new gasoline cost (replace with variable of your choice)

c) 2000-(15000(3.20)/(24+x)) = money saved (replace with variable)

d) ~34.29 miles (34.28571 miles)

Step-by-step explanation:

a) [15000(3.20)]/24 = 2000

b) use the formula above, but the denominator is 24+x (or variable of your choice) because the amount of mpg is increased

c) take the formula from a, then subtract formula in b from it

d) take formula c, replace the variable (variable = money saved) with 600

Answer:

8

Step-by-step explanation:

Answer:

we need the linear graph ._.

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

After it's enlarged, the new dimensions will be 6 * 3.5 = 21 and 8 * 3.5 = 28, therefore, the new perimeter will be 2(21 + 28) = 2 * 49 = 98 and the area will be 21 * 28 = 588.

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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The slot will be used by the key 18 is 2

When using a division method, the key value is first divided by a prime number, usually a number close to the table size, and then the remainder is used as the slot number. For example, if N = 12, then we can choose a prime number such as 7 as the divisor.

To map the given keys to the table of size N=12, we first find the remainder of each key when divided by 7:

key remainder slot number

8 1 1

15 1 1 (collision with key 8)

6 6 6

30 2 2

11 4 4

12 5 5

17 3 3

13 6 6

Here, we use a probe sequence of k=5, which means we try slots that are 5 apart.

To find the slot for key 18, we first calculate its remainder when divided by 7, which is 4. The first slot we try is slot 4, which is already occupied by key 11. Using linear probing with k=5, we try slot 9, which is also occupied by key 17. The next slot we try is slot 2, which is empty and hence can be used for key 18.

Therefore, the slot used by key 18 is slot 2.

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Complete Question:

Assuming a division method (modulo operation). Mapping the key values into a table of N = 12. And solving collisions with the open address/linear probing with k = 5. What are the slots that will be used for the following hash values? Input only one numeric value of the slot.

key 8 15 6 30 11 12 17 13

slot 8  3  6 11   4  0 5    1

As a continuation of the previous question (with the same slots used by the previous keys), what slot will be used by the key 18?

The option that shows a two-way conditional frequency table is option B as shown in the image attached.

A two-way conditional frequency table is a type of table that shows the frequency determined by two variables. In this case, the variables are:

Moreover, this table uses numbers from 0 to 1 to express frequency rather than percentages or numbers of people.

The correct option is option B because it meets the following requirements:

Reason:

PEMDAS says that we first evaluate what's in the parenthesis

6/2(1+2) = 6/2*3

Then we evaluate the division operation first before multiplying later. The "M" and "D" of PEMDAS are on the same precedent level or operation level. The rule is to evaluate from left to right when faced with these two operations together.

6/2*3 = 3*3 = 9

If the original expression was 6/( 2(1+2) ) then the answer would be 1 since

6/( 2(1+2) ) = 6/( 2(3) ) = 6/6 = 1

The rate of change of the volume of water in the pool is 12 gallons/second.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

When one quantity increases or declines, the other quantity also rises or falls in direct proportion. On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.

When the ratio x:y is constant, two values, x and y, are said to be directly proportional to one another. If we spend Rs. 50 on two pens, as an example. For four pens, it will cost us 100 Rs. When the ratio x:y1 is constant, two values, x and y, are said to be inversely proportional to one another.

The rate of change of the volume of water in the pool is the rate at which the volume is decreasing, which is the same as the rate at which the pool is being drained.

This is given by the number of gallons of water being drained per second, which is 12 gallons/second.

So the rate of change of the volume of water in the pool is 12 gallons/second.

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The rate of change of the volume of water in the pool is 12 gallons/second.What is the Unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.What is direct and indirect proportion?When one quantity increases or declines, the other quantity also rises or falls in direct proportion. On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.When the ratio x:y is constant, two values, x and y, are said to be directly proportional to one another. If we spend Rs. 50 on two pens, as an example. For four pens, it will cost us 100 Rs. When the ratio x:y1 is constant, two values, x and y, are said to be inversely proportional to one another.The rate of change of the volume of water in the pool is the rate at which the volume is decreasing, which is the same as the rate at which the pool is being drained.This is given by the number of gallons of water being drained per second, which is 12 gallons/second.So the rate of change of the volume of water in the pool is 12 gallons/second. I got the same thing the other person did so they are correct

Answer:

sorry i didnt really understand

Answer:

12 is the answer

Step-by-step explanation:

6 y = 6 × 36 in. ( y = yards, in = inches )

do the math:

6(36) ÷ 18 = 12 ( for 18 sections of course )

12 × 18 = 6 × 36

becuase;

12 × 18 = 216 \

                       ——- They are the same

6 × 36 = 216  /

= 216

Divide

216 ÷ 18 = 12

12 being the answer

Answer:

12 inches long

Step-by-step explanation:

One yard is equal to 36 inches, so 6 yards is equal to:

\(\sf:\implies 6 \times 36 = 216\: inches\)

To find the length of each section, we need to divide the total length of the banner (216 inches) by the number of sections (18):

\(\sf:\implies 216 \div 18 = \boxed{\bold{\:\:12\:\:}}\:\:\:\green{\checkmark} \)

Therefore, each section is 12 inches long.

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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Answer:

C. (x - 6)(x - 8)

Step-by-step explanation:

To factorize the expression x^2 - 14x + 48, we need to find two binomial factors whose product is equal to the given expression. We are looking for two numbers that multiply to give 48 and add up to -14.

The possible factor pairs of 48 are:

1 * 48

2 * 24

3 * 16

4 * 12

6 * 8

Among these pairs, the only pair whose sum is -14 is 6 and 8.

So, the factorization of the expression x^2 - 14x + 48 is:

(x - 6)(x - 8)

Answer: C

Step-by-step explanation:

To factorize the equation x^2 - 14x + 48, we need to find two binomial factors that, when multiplied together, result in the given quadratic expression.

To factorize the quadratic equation, we look for two numbers that multiply to give the constant term (48) and add up to give the coefficient of the linear term (-14). In this case, the numbers are -6 and -8 since (-6) * (-8) = 48 and (-6) + (-8) = -14.

Now, we can rewrite the quadratic expression as follows:

x^2 - 14x + 48 = (x - 6)(x - 8)

Therefore, the factored form of the equation x^2 - 14x + 48 is (x - 6)(x - 8).

Answer:

2100

Step-by-step explanation:

2000+400= 2400

2400-300= 2100

If tan(x) = -3/2 and x terminates in quadrant II, then sin(x) = -3/√13, cos(x) = -2/√13. Using double angle formulas, we can find that sin(2x) = -24/13, cos(2x) = 5/13, and tan(2x) = -24/5.

We can start by drawing a right triangle in quadrant II with a reference angle α, such that tan(α) = 3/2. Then, since x terminates in quadrant II, we have x = π - α. Using the Pythagorean theorem, we find that the adjacent side of the triangle is -2 and the hypotenuse is √13. Therefore, sin(x) = -3/√13 and cos(x) = -2/√13.

Next, we can use double angle formulas to find sin(2x), cos(2x), and tan(2x). Specifically, we have:

sin(2x) = 2sin(x)cos(x) = 2(-3/√13)(-2/√13) = -24/13

cos(2x) = cos²(x) - sin²(x) = (-2/√13)² - (-3/√13)² = 5/13

tan(2x) = (2tan(x))/(1 - tan²(x)) = (2(-3/2))/(1 - (-3/2)²) = -24/5

Therefore, we have found that sin(2x) = -24/13, cos(2x) = 5/13, and tan(2x) = -24/5.

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Answer: The answer is b

Step-by-step explanation:

The minimum standard deviation obtained using Excel's solver is about 13.45%. This corresponds to the answer option provided in the question: About 13.45%.

Using the provided Excel template for the two-asset efficient frontier, we set the mean return for the SP500 to be 10% with a standard deviation of 20%, the mean return for the TBond to be 5% with a standard deviation of 10%, and a correlation of 10% between the SP500 and the TBond. We then set the target portfolio return to be 10% in expectation. The question asks us to find the minimum standard deviation using Excel's solver.

Using Excel's solver, we can optimize the portfolio allocation to find the minimum standard deviation for the given target portfolio return. By adjusting the weights assigned to the SP500 and TBond, the solver finds the combination that minimizes the portfolio's risk.

The minimum standard deviation obtained using Excel's solver, in this case, is about 13.45%. This represents the lowest level of risk achievable for the given set of assets and their correlations while targeting a portfolio return of 10%. It indicates the optimal allocation that balances risk and return based on the specified parameters.

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Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

Answer:

Division

Step-by-step explanation:

Divide 100 by 9 which is 90 division is multiplication backwards

The probability that a randomly selected squirrel has a weight less than 3 pounds:  P(x < 3) = 0.0139

What is Probability?

Chance is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes certainty.

Given,

μ = 4.1

σ = 0.5

∴ P(x < 3) = P(z < (3 - μ) / σ)

= P(z < (3 - 4.1) / 0.5)

= P(z < -1.1/0.5)

P(x < 3) = P(z < -2.2)

P(x < 3) = 0.0139

As a result, P(x 3) = 0.0139 is the probability that a squirrel chosen at random weighs less than 3 pounds.

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The given manufacturing process has a CpK value of 0.4, which indicates that it is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces.

Explanation:

The CpK (Process Capability Index) value is a measure of how well a process is capable of meeting the specifications or requirements. It takes into account both the process mean and the variability of the process. A CpK value of 1 indicates that the process is capable of meeting the requirement, while a CpK value less than 1 indicates that the process is not capable of meeting the requirement.

In this case, the process mean is 18 ounces and the standard deviation is 2.5 ounces. To find the CpK value, we need to calculate the upper and lower specification limits. Since the requirement is to produce protein bars with a weight of 17.5 ounces, and the requirement is at -2.5 from the process mean, the lower specification limit would be 18 - 2.5 = 15.5 ounces. The upper specification limit would be 18 + 2.5 = 20.5 ounces.

The CpK value can be calculated using the formula:

CpK = min((USL - mean)/3σ, (mean - LSL)/3σ)

where USL is the upper specification limit, LSL is the lower specification limit, σ is the standard deviation, and mean is the process mean.

Substituting the values, we get:

CpK = min((20.5 - 18)/(3 × 2.5), (18 - 15.5)/(3 × 2.5))

= min(0.4, 0.4)

= 0.4

Since the CpK value is less than 1, the process is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces. Therefore, the company needs to improve its manufacturing process to meet the requirements.

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A 6-sided die must be rolled 36 times before sequence 65 appears. (i.e., a 6 followed by a 5)

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let E as the expected rolls, and E₆ as the expected rolls given we rolled a 6.

Given that we rolled a 6, there is a 1/6 chance that two rolls will be enough, a 4/6 chance that we didn't roll a 5 or 6 and so spent two rolls, and a 1/6 chance that we rolled a 6 and only wasted one roll:

E₆ = (1/6)2 + (4/6)(E+2) + (1/6)(E₆ + 1)

Rearrange the terms and apply arithmetics operations

E₆ = (4E + 11)/5

According to the question,

We have 5/6 that we rolled [1,5]

So we wasted a roll, and 1/6 that we rolled a 6,

E = (1/6)×E₆ + (5/6)×(E+1)

Substitute the value of E₆ in the equation,

E = (1/30)×(4E+11) + (5/6)×(E+1)

E = 36

Hence, a 6-sided die must be rolled 36 times before sequence 65 appears.

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The step of the five-step model of decision-making that includes studying the positives and negatives of a list of possible solutions to a problem is rate alternatives on the basis of decision criteria (option d).

In this step, after generating multiple alternatives (step a) and identifying and weighing decision criteria (step b), the focus shifts to evaluating each alternative. The decision criteria are used as a framework to assess the alternatives and determine their strengths and weaknesses. This involves studying the positives and negatives of each alternative in relation to the established criteria.

By examining the alternatives based on the decision criteria, decision-makers can gain a comprehensive understanding of the potential outcomes and consequences associated with each option. This analysis allows for an informed comparison of the alternatives, facilitating the selection of the most suitable solution.

Once the alternatives have been rated and evaluated in light of the decision criteria, decision-makers can proceed to the subsequent steps of the model, such as choosing, implementing, and evaluating the best alternative (step c). The correct option is d.

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The complete question is:

Which step of the five-step model of decision-making includes studying the positives and negatives of a list of possible solutions to a problem?

a. generate multiple alternatives

b. identify and weigh decision criteria

c. choose, implement, and evaluate the best alternative

d. rate alternatives on the basis of decision criteria

A diagram that models the ratio in the story is shown in the image attached below. If the Capybaras had 80 fans in the stands, the number of Iguanas fans that were in the stands is equal to 96 Iguanas fans.

In Mathematics, a ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.

Let the variable I represent the number of Iguanas fans.

Let the variable C represent the number of Capybaras fans.

Therefore, the ratio of the 6 Iguanas fans to 5 Capybaras fans is given by:

I:C = 6:5

Next, we would determine the number of Iguanas fans if there are 80 Capybaras fans:

6 Iguanas fans = 5 Capybaras fans

x Iguanas fans = 80 Capybaras fans

Cross-multiplying, we have:

x Iguanas fans = (80 × 6)/5

x Iguanas fans = 480/5

x Iguanas fans = 96 Iguanas fans.

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Answer:

52 units.

Step-by-step explanation:

Use the Triple 5-12-13

20 / 4 = 5

48/ 4 = 12

So  the hypotenuse = 4 * 13 = 52.

The lengths of Hypotenuse 52 units.

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

The measurement of two sides are 20 units and 48 units.

Now, Using Pythagoras theorem

H² = P² + B²

H² = 20² + 48²

H² = 400 + 2304

H² = 2704

H = 52 units.

Hence, lengths of Hypotenuse 52 units.

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Answer:

9

Step-by-step explanation:

3^3 + 3^3 = 9

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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