Write: x^2 + 8x + 10 in the form (x + a)^2 + b

....................................

The probability of selecting a jack, replacing the card, and then selecting a king is 1/169

In a standard deck of cards, we have:

Total = 52

Jack = 4

King = 4

The probability of each is:

P(Jack) = 4/52

P(King) = 4/52

So, we have:

P = 4/52 * 4/52

Simplify

P = 1/13 * 1/13

Evaluate

P = 1/169

Hence, the probability is 1/169

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Certainly!

This text is discussing two linear functions, g and h, which have different slopes. A linear function is a function that can be graphed as a straight line. The value of both functions at a specific point (x = a) is the same (b).

The question being asked is what happens at the point (a, b) when both functions are graphed on the same coordinate plane.

Pls Mark brainliest

Answer:

28 litres of mango juice will be required

Step-by-step explanation:

11). b. Internal dimensions of the rectangular prism are,

         Length = 40 cm

         Width = 20 cm

         Height = 35 cm

         Volume of the rectangular prism = Length × Width × Height

                                                                 = 40 × 20 × 35

                                                                 = 28000 cm³

          Since, 1 cm³ = 1 mL

          Therefore, 28000 cm³ = 28000 mL

          Since, 1000 mL = 1 L

          28000 mL = 28 L

          Therefore, to fill this jar 28 L of orange juice will be required.

Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

Answer:

Answered Perimeter and Area

Step-by-step explanation:

I am unsure of what you need here but here's 2 possible answers

Area

We can use composite shapes to figure out the area here (splitting one shape into more then adding up their total areas)

This shape has a rectangle with an Area of (24*30mm) but wwith a square cut out (20^2)

If we just solve we get the Area

A = (24*30) - 20^2

A = 720 - 400

A = 320mm^2

Perimeter

Perimeter is also pretty easy since we just add up side lengths.

(30 + (24*2) + (10*2) + (20*3))

(30 + 96 + 20 + 60)

= 206mm

a: 60

b: 225

To find perimeter, first add every side of the figure together.

To slove area take rhe height and width of the digure and multiply.

The subspaces of R^3x3 are: B. The invertible 3x3 matrices, C. The 3x3 matrices with all zeros in the third row, D. The diagonal 3x3 matrices, and F. The 3x3 matrices of rank 1.

A subspace of R^3x3 is a subset that satisfies three conditions: it contains the zero matrix, it is closed under matrix addition, and it is closed under scalar multiplication.

B. The invertible 3x3 matrices form a subspace because the zero matrix is invertible and any linear combination or product of invertible matrices is also invertible.

C. The 3x3 matrices with all zeros in the third row form a subspace. Adding two matrices with all zeros in the third row results in a matrix with all zeros in the third row, and multiplying a matrix with all zeros in the third row by a scalar also yields a matrix with all zeros in the third row.

D. The diagonal 3x3 matrices form a subspace because the sum of two diagonal matrices is still a diagonal matrix, and scaling a diagonal matrix by a scalar preserves its diagonal structure.

E. The 3x3 matrices with a specific trace value do not form a subspace because the sum of two matrices with different trace values will generally not have the same trace.

F. The 3x3 matrices of rank 1 do form a subspace. The zero matrix is of rank 0, and any linear combination of rank 1 matrices will also have rank 1. Furthermore, scaling a rank 1 matrix by a scalar preserves its rank.

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question:

Type the correct answer in each box. x f(x) -1 1 2 3 3 6 5 7 7 8 The values in the table define the function f ⁡ ( x ) . The value of f - 1 ⁡ ( 3 ) is , and the value of f - 1 ⁡ ( 8 ) is

Answer:3x4=x

Step-by-step explanation:

The probability that the sample mean rent is greater than $2700 is 8.4%, using the population mean of $2631, standard deviation of $500, and sample size of 100 apartments.

To solve this problem, we can use the central limit theorem, which states that the distribution of sample means of a sufficiently large sample from a population with a finite mean and standard deviation will be approximately normally distributed.

Using the given information, the population mean is μ = $2631 and the population standard deviation is σ = $500. We are also given a sample size of n = 100.

The formula for the standard error of the mean is:

SE = σ / sqrt(n)

SE = $500 / sqrt(100) = $50

To find the probability that the sample mean rent is greater than $2700, we need to standardize the sample mean using the z-score formula:

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.

z = (2700 - 2631) / 50 = 1.38

Using a standard normal distribution table or calculator, we can find the probability that a z-score is greater than 1.38 to be approximately 0.084.

Therefore, the probability that the sample mean rent is greater than $2700 is approximately 0.084 or 8.4%.

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It is impossible to determine if 443 is a plausible value for the true average degree of polymerization.

The interval you mentioned might provide some information about the possible range of values for the true average degree of polymerization. However, it would depend on how the interval was calculated and what assumptions were made in the calculation.

In general, if the interval was calculated using a reliable and appropriate statistical method, and if the underlying data is representative and unbiased, then it is possible that 443 is a plausible value for the true average degree of polymerization. However, without more information about the context and the data, it is difficult to make any definitive conclusions.

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Answer:

Your screen is black hun

Step-by-step explanation:

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

In conclusion, we can infer and logically deduce that this test would be left-tailed.

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The probability that a call lasts less than 4 minutes is 0.1474.

Given, Mean = μ = 6.3 minutes

Standard deviation = σ = 2.2 minutes

Using z-score formula, z = (X - μ) / σ(a) To find P(5 < X < 10), we have to calculate z1 and z2 respectively, z1 = (5 - 6.3) / 2.2 = -0.59z2 = (10 - 6.3) / 2.2 = 1.68

Now, we can find the probability, P(5 < X < 10) = P(-0.59 < z < 1.68)P(-0.59 < z < 1.68) = Φ(1.68) - Φ(-0.59)  ≈ 0.833 - 0.2778 = 0.5552

Therefore, the probability that a call lasts between 5 and 10 minutes is 0.5552.

(b) To find P(X > 7), we have to calculate the z-score first,z = (X - μ) / σz = (7 - 6.3) / 2.2 = 0.32

Now, we can find the probability, P(X > 7) = P(z > 0.32) = 1 - Φ(0.32)≈ 1 - 0.6255 = 0.3745

Therefore, the probability that a call lasts more than 7 minutes is 0.3745.

(c) To find P(X < 4), we have to calculate the z-score first,z = (X - μ) / σz = (4 - 6.3) / 2.2 = -1.05Now, we can find the probability, P(X < 4) = P(z < -1.05) = Φ(-1.05)≈ 0.1474

Therefore, the probability that a call lasts less than 4 minutes is 0.1474.

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You could say “you had 18 t-shirts and bought 12 more and now you have a total of 30 t-shirts”

The z-score for which 99% of the distribution's area lies between -z and z is approximately ±2.575. This corresponds to option (-2.575, 2.575).

In statistics, the z-score represents the number of standard deviations an observation or data point is from the mean of a distribution. To find the z-score for which 99% of the distribution's area lies between -z and z, we need to determine the critical value z that leaves 0.5% of the area in each tail.

By looking up the z-score in the standard normal distribution table or using statistical software, we find that the z-score for a one-tailed 0.5% area is approximately ±2.575. Therefore, the z-score for which 99% of the distribution's area lies between -z and z is approximately ±2.575, as stated in option (-2.575, 2.575).

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Answer:

76.2

Step-by-step explanation:

Answer:

As this is a super-serious totally relevant question, I will do my best to answer.

Explanation:

This has been erroneously mislabeled as mathematics instead of English because this is clearly a grammar problem.

The first error is capitalization at the beginning of the sentence.

You aint even saying why is yes you chould try explaining it better next time.

The second problem is the punctuation in multiple places. An apostrophe is needed in aint to make it ain't, and a period is needed after yes. Because of that period, you must capitalize that second you.

You ain't even saying why is yes. You chould try explaining it better next time.

The next error is a missing word to improve cohesiveness and make the sentence grammatically correct. You must add it after why.

You ain't even saying why it is yes. You chould try explaining it better next time.

The final thing to fix is a simple misspelling. Should was typed as chould which can be fixed with the easy changing of a single letter.

You ain't even saying why it is yes. You should try explaining it better next time.

And there we go! Your sentence has been corrected and it is now a grammatically correct and well-written sentence.

As there is no variables, so the given expression 9 + 10 is the numerical expression.

An object can be counted, measured, or labelled using a number, which is a mathematical value. Arithmetic calculations are often done with numbers. Natural numbers, whole numbers, rational and irrational numbers, among other types of numbers, are examples. A null value is also represented by the integer zero, or 0.

Numerical expression is a combination of the words numerical, which refers to numbers, and expression, which denotes a statement. Consequently, it is a statement that uses numbers.

Mathematical operations like add, subtract, multiply, and divide can be used to mix integers with numbers to create a numerical expression.

Given Expression 9 + 10

As it contains only numbers and mathematical operators,

So, it is the numerical expression.

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Answer:

2/6 0.5/1.5 or 3/9

Step-by-step explanation:

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The money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

Given that, Sam is an agricultural inspector who earns $3,528 per month.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tax money be x.

x = 3,528 - (258+56.23)

x = 3,528 - 314.23

x = 3213.77

Therefore, the money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

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The first problem is asking for the number of combinations which is 20, while the second problem is asking for the number of permutations which is 336.

In the first problem, the homeowners' association needs to form a committee of 3 people from a board of 6 supervisors. Here, the order in which the committee members are selected does not matter, and only the combination of individuals is important. Therefore, the problem is asking for the number of combinations, and the formula to calculate it is nCr = n! / (r!(n-r)!), where n is the total number of items (6 supervisors) and r is the number of items to be selected (3 committee members). Thus, the answer to the first problem is the number of combinations: 6C3 = 6! / (3!(6-3)!) = 6! / (3!3!) = (6x5x4) / (3x2x1) = 20.

In the second problem, the director needs to cast the male roles of Romeo, Mercutio, and Benvolio from a pool of 8 actors. Here, the order in which the actors are selected matters, as each actor will be assigned to a specific role. Therefore, the problem is asking for the number of permutations, and the formula to calculate it is nPr = n! / (n-r)!, where n is the total number of items (8 actors) and r is the number of items to be selected (3 roles). Thus, the answer to the second problem is the number of permutations: 8P3 = 8! / (8-3)! = 8! / 5! = (8x7x6) / (3x2x1) = 336.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The tick marks on the two sides mean those two lengths are the same, which also means the angles opposite them are the same measure.  (AKA It's an isosceles triangle.)

Since the two missing angles are equal, we can solve:

    28 + x + x = 180

to find that x = 76.

The two angles are 76 degrees.

And since LM = LN, we know LN = 18 in.

The correct statement regarding the mode of the sample is given as follows:

a. can be larger, smaller or equal to the mode of the population.

The mode of a data-set is the observation that appears the most often in the data-set.

The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.

As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,

Hence, option (a) is correct.

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The number of batches of muffins and bread to be made in order to maximize the profits is 16 and 2.

Considering the x to be the number of batches of bread and y be the number of batches of muffins.

In the problem, it is mentioned that the preparation of both the bread and muffin takes 4 hours and 0.5 hours since the maximum preparation time is 16 altogether

The inequality equation for it will be  \(4x+0.5y\leq 16\)

For baking the bread and  muffin it takes 1 hour and 0.5 hours, the maximum baking  time all together is  10

The inequality equation for it will be  \(x+0.5y\leq 10\)

The profit  got from one batch of bread if  35 $ and from one batch of muffins is 10$

 f(x,y)= 35x+ 10y

for f(0,0)= 0, f(0,20)= 200, f(2,16)= 230 , f(4,0) =140

So it requires 2 batches of bread and  16 batches of muffins.

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A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. What constraints can be used to find the number of batches of bread and muffins that should be made to maximize profits?

Answer:

Step-by-step explanation:

180 - m∠1

Answer: A

Step-by-step explanation:

I don’t know how to explain this, but I’m pretty sure it’s A