At what price can buy a T-Bill maturing Oct 27 that pays $10,000
in 164 days? Information from a newspaper quote: Bid=0.320,
Asked=0.310

Answer:

f= -16

i gotchu

Answer:

f = - 16

Step-by-step explanation:

f - 20 = - 36

f = - 36 + 20

Answer:

Step-by-step explanation:

35/44

0.80 or 4/5

not sure if it was supposed to be a decimal or a fraction so i did both

Answer:

c

my-step explanation:

Khan acadimy

The inequality that represents the following graph is C. x > -4

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.

The inequality that represents the graph;

x > -4x>−4x, is greater than, minus, 4

x > -4

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Given the following proportion:

You can follow the steps shown below in order to solve for "s" and find its value:

1. You can apply the Multiplication property of equality by multiplying both sides of the equation by "s":

2. Apply the Multiplication property of equality again by multiplying both sides of the equation by 21:

3. Finally, you must apply the Division property of equality by dividing both sides of the equation by 36:

The answer is:

Answer:

i think it would be 31.5 inches??

Step-by-step explanation:

Answer: 200

Step-by-step explanation: to get the radius you divided by 2. bc there is only 2 sides , have a great day.

The maximum output of the roll crusher in tons per hour for material less than 1 in. is 40 tons per hour. The amount of the roll crusher output in the range of 1 in. to ½ in. is 20 tons per hour, and the amount less than ½ in. is 10 tons per hour.

To determine the maximum output of the roll crusher, we need to consider the size reduction process and the efficiency of the screen.

Maximum Output of the Roll Crusher: The jaw crusher has a 2½ in. opening, and the screen has 1½-in. openings. Therefore, the maximum size of the material entering the roll crusher is 1½ in. Since the roll crusher is set at 1½ in., it can effectively crush the material to a size less than 1 in. without any recycle of oversize material.

The efficiency of the screen is given as 85%, which means that 85% of the material passing through the jaw crusher will pass through the screen and the remaining 15% will go to the roll crusher.

The maximum output of the roll crusher can be calculated as follows: Maximum Output = (Output from Jaw Crusher) x (Efficiency of Screen) = (40 in. x 22 in.) x (85%) = 880 in.^2 x 0.85 = 748 in.^2

Since the roll crusher is set at 1½ in., the maximum output in tons per hour can be calculated using the following formula: Maximum Output (tons per hour) = Maximum Output (in.^2) x Roll Crusher Setting (in.) x Roll Crusher Efficiency (tons per in.^2) = 748 in.^2 x 1.5 in. x 40 tons per in.^2 = 44,880 tons per hour ≈ 40 tons per hour

Amount of Roll Crusher Output: To determine the amount of roll crusher output in the range of 1 in. to ½ in. and less than ½ in., we need to consider the size reduction process and the size of the roll crusher setting.

Since the roll crusher is set at 1½ in., the amount of roll crusher output in the range of 1 in. to ½ in. can be calculated as follows: Amount in Range (1 in. to ½ in.) = Maximum Output (tons per hour) x Roll Crusher Setting Range Efficiency = 40 tons per hour x (1 - 0.85) = 40 tons per hour x 0.15 = 6 tons per hour

The amount of roll crusher output less than ½ in. can be calculated as follows: Amount less than ½ in. = Maximum Output (tons per hour) x (1 - Roll Crusher Setting Range Efficiency) = 40 tons per hour x (1 - 0) = 40 tons per hour

The maximum output of the roll crusher in tons per hour for material less than 1 in. is 40 tons per hour. The amount of the roll crusher output in the range of 1 in. to ½ in. is 6 tons per hour, and the amount less than ½ in. is 40 tons per hour.

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a) a minimum of 3 doctors required so that at least 70% of the arriving patients.

b) a minimum of 7 doctors are required so that the average time a patient waits for treatment is no more than 30 minutes

a) Minimum number of doctors required so that at least 70% of the arriving patients can receive treatment immediately

Formula used:

The number of patients arriving in an hour: λ = 9

Treatment time: μ = 6 minutes

Per the Little’s law, the waiting time is proportional to the average number of patients present at any given time.

λ/μ is the average number of patients present at any given time.

If there are k servers present in the ER, the number of patients they can serve is given by kμ.

Hence, the percentage of patients who have to wait is given by:

Percentage of patients waiting = λ / (kμ + λ)

Percentage of patients receiving treatment immediately = kμ / (kμ + λ)

Thus, we can now form an equation as:

kμ / (kμ + λ) ≥ 0.7

=> kμ / (kμ + 9) ≥ 0.7

=> k ≥ 3 doctors (Approximately)

Therefore, a minimum of 3 doctors required so that at least 70% of the arriving patients can receive treatment immediately.

b) Minimum number of doctors required so that the average time a patient waits for treatment is no more than 30 minutes as advertised

The percentage of patients who have to wait = λ / (kμ + λ)

Again, let us use the Little's law to find the average time patients spend waiting in the queue, which is equal to

λ / (k(μ - λ/k)).

We are given that the waiting time should not be more than 30 minutes, which can be converted to 0.5 hours.

Thus:

λ / (k(μ - λ/k)) ≤ 0.5

=> 9 / (k(0.1 - 1/k)) ≤ 0.5

=> 18 ≤ k(0.1 - 1/k)

=> 0.1k - 1 ≤ 18/k

=> 0.1k² - k - 18 ≥ 0

Using the quadratic formula, the solution is k = 6.66, which is rounded up to 7, and k = 2.5, which is rounded up to 3.

Therefore, a minimum of 7 doctors are required so that the average time a patient waits for treatment is no more than 30 minutes as advertised and a minimum of 3 doctors are required so that the average time a patient waits for treatment is no more than 15 minutes.

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Solution:

Required margin of error  = 0.05

Estimated population proportion p = 0.8

Significance level = 0.10

The \(\text{provided estimate population proportion}\) p is 0.8

The significance level, α = 0.1 is \(z_c=1.645\), which is obtained by looking into a standard normal probability table.

The number of patients surveyed to estimate the population proportion p within the required margin of error :

\($n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$\)

  \($=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$\)

  = 173.15

Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and  it must be an integer number.

Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.

Answer:

Donna earned a profit of $925, so she sold $925 / $9 profit per bag = 102.78 bags.

She gave away 11 free bags, so she actually sold 102.78 bags + 11 free bags = 113.78 bags.

113.78 bags / 3 bags per set = 37.92 sets of bags.

Therefore, 37.92 sets of bags * 2 bags per set = 75.84 bags were sold in sets of 2.

Therefore, 113.78 bags - 75.84 bags = 37.94 bags were sold individually.

Therefore, 37.94 bags were bought by customers who bought only one bag.

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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The p-value is greater than the level of significance (0.05). Therefore, we fail to reject the null hypothesis. There is not enough evidence to suggest that the mean time to complete a four-year college degree varies based on gender. The conclusion is that there is no difference between the mean number of years for men and women to complete a four-year college degree.

The null hypothesis in the given data set is there is no difference between the mean number of years for men and women to complete a four-year college degree. The null hypothesis is a statement that describes the population parameter being tested. It is usually given the symbol H0. The null hypothesis is that the population parameter is equal to some value.

The null hypothesis is what is assumed to be true if no evidence is available to contradict it. It can be accepted or rejected based on the results of a statistical test. The degrees of freedom is the number of independent observations in a statistical test. It is usually represented by the symbol df. The degrees of freedom is used to calculate the t-value for a statistical test.

It is calculated as n - 1, where n is the sample size. In this problem, the degrees of freedom is 10 (12 - 2).The t-test is a statistical test used to determine if there is a significant difference between two groups. It is used when the population standard deviation is not known. The t-test uses the t-distribution to determine the p-value. The p-value is the probability of observing the data if the null hypothesis is true.

If the p-value is less than the level of significance, the null hypothesis is rejected. In this problem, the null hypothesis is that there is no difference between the mean number of years for men and women to complete a four-year college degree. To test this hypothesis, we will use a two-sample t-test.

The formula for a two-sample t-test is:t = (x1 - x2) / (s1^2/n1 + s2^2/n2)^(1/2)where x1 is the sample mean for group 1, x2 is the sample mean for group 2, s1 is the sample standard deviation for group 1, s2 is the sample standard deviation for group 2, n1 is the sample size for group 1, n2 is the sample size for group 2, and t is the t-value.

Men: (4 + 5 + 4 + 6 + 4 + 5) / 6 = 28 / 6 = 4.67Women: (6 + 4 + 7 + 5 + 3) / 5 = 25 / 5 = 5The sample mean for men is 4.67 years, and the sample mean for women is 5 years. The pooled variance is a weighted average of the variances of two independent samples. It is used to estimate the population variance when the population variances are assumed to be equal.

The formula for the pooled variance is:s^2 = [(n1 - 1)s1^2 + (n2 - 1)s2^2] / (n1 + n2 - 2)where s1 is the sample standard deviation for group 1, s2 is the sample standard deviation for group 2, n1 is the sample size for group 1, n2 is the sample size for group 2, and s^2 is the pooled variance.s1 = [(4 - 4.67)^2 + (5 - 4.67)^2 + (4 - 4.67)^2 + (6 - 4.67)^2 + (4 - 4.67)^2 + (5 - 4.67)^2] / (6 - 1)^(1/2) = 0.763s2 = [(6 - 5)^2 + (4 - 5)^2 + (7 - 5)^2 + (5 - 5)^2 + (3 - 5)^2] / (5 - 1)^(1/2) = 1.87s^2 = [(6 - 1)0.763^2 + (5 - 1)1.87^2] / (6 + 5 - 2) = 1.243

The t-value is calculated using the formula: t = (x1 - x2) / (s1^2/n1 + s2^2/n2)^(1/2)t = (4.67 - 5) / (1.243/6 + 1.243/5)^(1/2)t = -0.555 The p-value is the probability of observing the data if the null hypothesis is true. The p-value is calculated using a t-table or a t-distribution calculator. The p-value for a two-tailed test with 10 degrees of freedom and a t-value of 0.555 is 0.593.

The p-value is greater than the level of significance (0.05). Therefore, we fail to reject the null hypothesis. There is not enough evidence to suggest that the mean time to complete a four-year college degree varies based on gender. The conclusion is that there is no difference between the mean number of years for men and women to complete a four-year college degree.

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The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

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An whole score distribution converted to z-scores would not alter the distribution's shape. "True" statement.

Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.

Thus, an whole score distribution converted to z-scores would not alter the distribution's shape.

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The answer  is 4 - 4yi + y2, .We need to expand it using the rules of exponents.

We need to expand the expression (2 - yi)2 using FOIL (First, Outer, Inner, Last). (2 - yi)2 = (2 - yi)(2 - yi)
= 2(2) - 2(yi) - y(i)(2) + (yi)(i)
= 4 - 4yi + yi2
= 4 - 4yi + y2
So the simplest form of (2 - yi)2 is 4 - 4yi + y2.

To find the simplest form of (2 - yi)², where i is the imaginary unit, you need to expand and simplify the expression. First, you'll apply the formula (a - b)² = a² - 2ab + b². In this case, a = 2 and b = yi. After applying the formula, you'll get (2)² - 2(2)(yi) + (yi)². Next, you'll simplify each term. (2)² = 4, -2(2)(yi) = -4yi, and (yi)² = (y²)(i²). Since i² = -1, then (yi)² = -y². Finally, combining the terms, you'll have 4 - 4yi - y² as the simplest form of (2 - yi)².

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Respuesta:

C: 10xy^4 + 3x^3y^2 - 6x^2y

¡¡Espero te sirva!!

PX ≅ QX, as ΔGXP ≅ ΔIXQ is congruent by the AAS property.

Given, GHIJ is a parallelogram.

Given, HP ≅ JQ

GH ≅ JI, as both are on opposite sides it is a congruency property.

GP ≅ QI, the definition of congruency.

GP + PH ≅ JQ + QI, segment addition property.

∡PXG ≅ ∡ IXQ, vertical angles are congruent.

GH || JI, opposite sides are parallel

∠ PGH ≅ ∠QIX, alternate interior angles

PX ≅ QX, corresponding parts of congruent triangles are congruent.

ΔGXP ≅ ΔIXQ is congruent by the AAS property.

Therefore, PX ≅ QX

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The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

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Signed and unsigned integer expressions differ in how they interpret and represent numerical values. Signed integers can represent both positive and negative values, while unsigned integers can only represent non-negative values.



1. Signed Integer Expressions: Signed integers are capable of representing positive, negative, and zero values. They allocate a bit for the sign, typically using the leftmost bit (the most significant bit). The remaining bits are used to represent the magnitude of the number. The sign bit is set to 0 for positive or zero values and set to 1 for negative values. This representation allows for a wider range of values, but half of the possible bit patterns are reserved for negative numbers, limiting the maximum positive value that can be represented.

2. Unsigned Integer Expressions: Unlike signed integers, unsigned integers do not allocate a bit for the sign. Instead, all bits are used to represent the magnitude of the number, allowing for a wider range of non-negative values. As a result, unsigned integers can represent larger positive values than their signed counterparts. However, they cannot represent negative values or zero, as there is no reserved bit to indicate the sign.

The choice between signed and unsigned integer expressions depends on the specific requirements of a program. Signed integers are typically used when negative values need to be represented or when arithmetic operations may result in negative values. On the other hand, unsigned integers are useful when dealing with quantities that are always expected to be positive, such as array indices or lengths of data structures. It's important to consider the range of values required and the potential impact of overflow or underflow when selecting between signed and unsigned integer expressions.

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Answer: \(3.5\) × \(10^{4}\)

Step-by-step explanation:

Write an expression to represent the problem.

(8.2 × 10²) × 43

= (8.2 × 10²) x (4.3 x \(10^{1}\))

Now, multiply.

(8.2 × 10²) x (4.3 x \(10^{1}\))

= (8.2 x 4.3) x (\(10^{2}\) x \(10^{1}\))

= 35.26 x \((10)^{2+1}\)

= 35.26 x 10³

= 3.526 x \(10^{4}\)

The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

The equation 5x = x + 3 has 1 solution.

The solution to the equation 5x = x + 3 is x = 3.

The vector [0.50, 0.50, 0.50, 0.55] represents the prices of onion, chocolate chip, sunflower, and wheat bagels, respectively.

To represent the selling prices of the different bagels as a vector, we can assign each price to an element in the vector. In this case, there are four kinds of bagels: onion, chocolate chip, sunflower, and wheat.

Let's assign the selling price of each bagel to the corresponding position in the vector. Since the selling price for all bagels except chocolate chip is $0.50, we assign 0.50 to the first three elements of the vector. For the chocolate chip bagels, which are priced at $0.55, we assign 0.55 to the fourth element of the vector.

Thus, the vector representation of the selling prices is [0.50, 0.50, 0.50, 0.55]. Each element in the vector corresponds to a specific kind of bagel, maintaining the order of onion, chocolate chip, sunflower, and wheat.

This vector representation allows for easy manipulation and access to the selling prices of the different bagels. It provides a concise and organized way to represent the information about the prices of the various bagel types in a structured format.

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In mathematics, a constant rate of change is a rate of change that stays the same and does not change.

Answer:

\(3x^2\)

Step-by-step explanation:

\(12x^4-6x^2+9x^2\)

Let's break down these terms into three parts; our number, our base (variable), and our power (exponent).

First, let's think of a number that could be factored out of the numbers 12, 6, and 9. If you're thinking of the number 3, you'd be correct.

Second, look at the bases. We can see that the variables in these terms are all \(x\), so we can combine that with our number 3.

Third, look at the powers. We can see that the exponent of 2 can be factored out, so let's combine that with our 3x:

\(3x^2\)

To put that in perspective:

\(3x^2(4x^2-2+3)\)

_

To check your work, you can distribute the greatest common factor into the parentheses:

\(3x^2(4x^2-2+3)\)

\(12x^4-6x^2+9x^2\)

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.