If two pounds of steak will serve 5 people, how many
pounds will be needed to serve 13 people?

Answer: 30, 52, 1/6, and 5/234

Step-by-step explanation:

1. 10x3 = 30

2. 26x2 = 52

3. 1/2 x 3 = 1/6 Chance of getting one exact number is 1/2

4 1/26 x 5/9 = 5/234 5 odd numbers in-between 1 and 9

Yes, the identity \(cos^{2}\)(2x) + \(sin^{2}\)(2x) = 1 is true. This identity is a fundamental trigonometric identity known as the Pythagorean identity.

The Pythagorean identity states that for any angle x, the square of the cosine of x plus the square of the sine of x is always equal to 1. Mathematically, it can be written as \(cos^{2}\)(x) + \(sin^{2}\)(x) = 1.

In the given expression, \(cos^{2}\)(2x) + \(sin^{2}\)(2x), we have an angle of 2x. According to the Pythagorean identity, the sum of the squares of the cosine and sine of this angle will also equal 1. Therefore, \(cos^{2}\)(2x) + \(sin^{2}\)(2x) simplifies to 1.

This identity is fundamental in trigonometry and has numerous applications in solving trigonometric equations and identities. It demonstrates the relationship between the cosine and sine functions and their squares, highlighting their complementary nature.

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Answer:

3 terms 2d,7 and 5f

Step-by-step explanation:

Answer:

The answer would be 2d 7 5f hope this helps

Step-by-step explanation:

\(~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5\)

The value of p -q is 6.5.

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.

\(6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\\)

(2x + 1) (x-6) = 0

Thus, x = -1/2 , 6

Since p>q

p = 6 , q = -1/2

So, p -q = 6 - (-1/2)

= 6 + 1/2

= 13/2

= 6.5

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Answer:

Can't read it.

To solve for x using trigonometry, we need to have at least one angle measurement and one side length. Let's assume we have an angle measurement and the length of the adjacent side to the angle. Then, we can use the trigonometric function cosine to find the length of the hypotenuse, and the trigonometric function tangent to find the length of the opposite side.

In this case, we are solving for x, which means we are looking for the length of one of the sides of a right triangle. To do this, we need to use one of the trigonometric ratios, which are based on the ratios of the sides of a right triangle. The three basic trigonometric ratios are sine, cosine, and tangent, and they are defined as follows:

- Sine: opposite/hypotenuse
- Cosine: adjacent/hypotenuse
- Tangent: opposite/adjacent

To use these ratios, we need to have one angle measurement and the length of at least one of the sides of the right triangle. Let's say we have an angle measurement of θ and the length of the adjacent side to the angle, which we'll call A. Then, we can use the cosine function to find the length of the hypotenuse, which we'll call H:

cos(θ) = A/H
H = A/cos(θ)

Similarly, we can use the tangent function to find the length of the opposite side, which we'll call O:

tan(θ) = O/A
O = A*tan(θ)

Once we have the length of two sides of the right triangle, we can use the Pythagorean theorem to find the length of the third side:

H^2 = A^2 + O^2

So, to solve for x, we need to identify which angle we are dealing with, and which side length we know. Then, we can use the appropriate trigonometric function to find the length of the other side, and use the Pythagorean theorem to find x.

To solve for x using trigonometry, we need to use one of the trigonometric ratios (sine, cosine, or tangent) and the Pythagorean theorem. We must have one angle measurement and the length of at least one of the sides of the right triangle to use these formulas. Once we have the length of two sides, we can use the Pythagorean theorem to find the length of the third side. Finally, we round our answer to the nearest tenth if necessary.

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Answers: Equation: 52 = 7x

Octaves: x = 7.43

Explanation:

Let's call x the number of octaves in a piano

Then, every octave has 7 white keys. It means that the number of keys in a piano can be calculated as 7 times x or 7 times the number of octaves:

Number of keys = 7x

Then, the number of keys, in this case, is equal to 52, so we can replace the number of keys by 52 and get:

52 = 7x

Now, we can solve for x, dividing both sides by 7 as:

52/7 = 7x/7

7.43 = x

Therefore, the piano has 7.43 octaves

Answer:

(0,-3)

Step-by-step explanation:

The price of gasoline and oil will be equal in price after 4 years when the price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months.

To find out when the price of gasoline and oil will be equal, we have to set the two prices equal to each other and solve for time. The price of gasoline decreases at the rate of $0.03 every two months and the price of oil increases at a rate of $0.05 every six months.

We can start with the initial prices and solve for the time when they are equal:

$2.27 - 0.03t = 0.45 + 0.05t

where t represents the time in years.

Solving for t, we get:

$2.27 - 0.03t = 0.45 + 0.05t

$1.82 = 0.08t

t = 22.5

Since t is in months, we have to divide by 12 to convert it to years:

t = 22.5 / 12 = 1.875

So the price of gasoline and oil will be equal in price after approximately 4 years.

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Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

3

\( \sf \sqrt{x + 3 = 12} \)

\( \sf = \sqrt{x = 12 - 3} \)

\( \sf = \sqrt{x = 9} \)

\( \sf = \sqrt{9} \)

\( \sf = \sqrt{3 \times 3} \)

= 3

The solution of the linear equation \(\sqrt{x+3} = 12\)  for the variable, x is 141.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable

The solution of the equation can be calculated as:

\(\sqrt{x+3} = 12\)

Squaring both side,

\(x+3 = (12)^2\)

x+3 = 144

Subtract 3 from both the sides,

x = 141

The solution of the linear equation for the variable x is 141.

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Answer: I think B

Step-by-step explanation:

Answer:

2,1

Step-by-step explanation:

T-5 .9(×,y)

-2,-3

=2,1

Answer:

D

Step-by-step explanation:

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

-11, -2, 3, 6

-16, -5, 21, 29

Step-by-step explanation:

Answer:

You are almost correct

2. -11, -2, 3, 6

3. -16, -5, 19, 21

Step-by-step explanation:

This is the answer because:

1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have

2) Therefore, the answers would be

2. -11, -2, 2, 6

3. -16, -5, 19, 21

Hope this helps! :D

There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:

\($$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$\)

where E is the margin of error, \($z_{\alpha/2}$\) is the critical value for the desired confidence level (let's assume 95%, so \($z_{\alpha/2} = 1.96$\)), p is the population proportion of websites experiencing click fraud, and n is the sample size.

We know that p=0.15, so we can plug in the values:

\($$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$\)

So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

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Answer:

1/20

Step-by-step explanation:

The rate of the slower bus and faster bus is 135.5 miles per hour and 146.5 miles per hour respectively

Let

The train meets at a distance of 846 miles

The train meets in 3 hours

3(s) + 3(s + 11) = 846

3s + 3s + 33 = 846

6s = 846 - 33

6s = 813

divide both sides by 6

s = 813 / 6

s = 135.5

Therefore,

Speed of the slower train = s

= 135.5 miles per hour

Speed of the faster train = s + 11

= 135.5 + 11

= 146.5 miles per hour

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Answer:

True.

Step-by-step explanation:

That is exactly what a perimeter is. Hope this helps

Answer:

-2/3 is equal to -0.66666666667 And so -0.8 and -0.7 are not equivalent

I dont know what the question is about, but if I have to guess itd be this maybe.

Step-by-step explanation:

The probability that at least 1 ell phone of 8 randomly selected phones is defective will be 0.5577.

We have,

The probability that a cell phone manufactured at Electronics Unlimited is defective i.e. p = 0.11

And,

Total number of phones i.e. n = 8,

Now,

Using the Binomial Probability Distribution,

i.e.

P(X = x) = Cₙ, ₓ * pˣ * (1 - p)ⁿ⁻ˣ,

Here,

x = number of successes

n = number of trials

p = probability of a success on a single trial,

And,

Cₙ, ₓ =  \(\frac{n!}{x!(n-x)!}\)

Now,

According to the question,

The probability that at least 1 is defective,

i.e.

P(X ≥ 1) = 1 - P(X = 0)

And,

We have,

P(X = x) = Cₙ, ₓ * pˣ * (1 - p)ⁿ⁻ˣ,

Now,

Substituting values in above equation,

P(X = 0) = C₈,₀ * (0.11)⁰ * (1 - 0.11)⁸⁻⁰,

On solving we get,

P(X = 0) = \(\frac{8!}{0!(8-0)!}\) * (0.11)⁰ * (1 - 0.11)⁸⁻⁰,

We get,

P(X = 0) = 1 × 1 × (1 - 0.11)⁸

i.e.

P(X = 0) = 0.4423

So,

Now,

The probability that at least 1 is defective,

i.e.

P(X ≥ 1) = 1 - 0.4423

i.e.

P(X ≥ 1) = 0.5577

So,

The probability that at least 1 is defective is 0.5577.

Hence we can say that the probability that at least 1 ell phone of 8 randomly selected phones is defective will be 0.5577.

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Answer:

its 60

Step-by-step explanation:

Answer:

The Lcm of Given Numbers.

1. 6,7 = 42 2. 4,5 = 20 3. 10, 11 = 110

4. 2,5 = 10 5. 6, 11 = 66 6. 8, 10 = 80

7. 3, 10 = 30 8. 5, 10 = 50 9. 7, 8 = 56

Step-by-step explanation:

Ok

best trick for Lcm you can multiply the given number and its answer is your Lcm of given numbers.

Thank you..

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

The series ∑=0infinity diverges, meaning it does not have a finite sum. The sequence of series of partial sums increases without bound, meaning it diverges.

The series ∑=0infinity is an infinite sum of the constant value 23. To determine whether this series converges or diverges, we can use the definition of convergence: if the sequence of partial sums converges to a finite value, then the series converges. Otherwise, if the sequence of partial sums diverges or oscillates, then the series diverges.

The sequence of partial sums for this series is:

S1 = 23

S2 = 23 + 23 = 46

S3 = 23 + 23 + 23 = 69

...

As we can see, the sequence of partial sums increases without bound, meaning it diverges. Therefore, the series ∑=0infinity does not have a finite sum and is said to be divergent.

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(a) To find the product of 1/2x-1/4 and 5x^2-2x+6, we can use the distributive property of multiplication:

(1/2x - 1/4)(5x^2 - 2x + 6)

= (1/2x)(5x^2) + (1/2x)(-2x) + (1/2x)(6) - (1/4)(5x^2) + (1/4)(2x) - (1/4)(6)

= (5/2)x^2 - x + 3 - (5/4)x + (1/2)x - (3/2)

= (5/2)x^2 - (3/4)x + 3/2

Therefore, the product of 1/2x-1/4 and 5x^2-2x+6 is (5/2)x^2 - (3/4)x + 3/2.

(b) No, the product of 1/2x-1/4 and 5x^2-2x+6 is not equal to the product of 1/4x-1/2 and 5x^2-2x+6. This is because when we expand both products using the distributive property, we get different expressions:

(1/2x - 1/4)(5x^2 - 2x + 6) = (5/2)x^2 - (3/4)x + 3/2

(1/4x - 1/2)(5x^2 - 2x + 6) = (5/4)x^2 - (7/4)x + 3

So the coefficients of the x^2 and x terms in the two products are different. Therefore, the two products are not equal.

The angle the road makes is 3.43°

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

A 6% downgrade means that for every 100 units of horizontal run.

The vertical height decreases by 6 units.

The grade has a downward angle of

tan⁻1(6/100) = 3.43°

Hence, the angle the road makes is 3.43°

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The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?