Two students, Mattie and Pete agreed to display their work.
Their work is shown below.

The standard deviation of the number of incorrect answers in an exam will be equal to 1.12.

If a student randomly guesses on an exam containing 5 true or false questions, the number of incorrect answers will follow a binomial distribution with n = 5 (the number of questions) and p = 0.5 (the probability of guessing incorrectly on each question). The standard deviation of a binomial distribution is given by the formula:

sd = √(np(1-p))

Plugging in the values n = 5 and p = 0.5, we get:

sd = √(50.5(1-0.5)) = √(50.50.5) = √(1.25) = 1.12

Rounding to two decimal places, the standard deviation of the number of incorrect answers is 1.12.

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Hey there!

72 * 1/8 = 9

= 72/1 * 1/8

= 72(1) / 1(8)

= 72 / 8

= 72 ÷ 8

= 9

Thus, the answer could either be:

• 72/1 * 1/8

• 72 / 8

OR

• 72(1) / 1(8) (hence how we possibly received answer number 2)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

v = 120

Step-by-step explanation:

The right angle is egual to 180-39-v, so it is: v-141

U now that the sum of the internal angles of a triangle is 180°.

180 = (v-48)+(v)+(v-141)

180 = 3v - 180

3v = 360

v = 360/3

v = 120

Answer:

89 = v

Step-by-step explanation:

not completely sure how i got it

good luck

Answer:

(3, 6); (-3, 18)

Step-by-step explanation:

We equate the 2 expressions in x :-

x^2 - 2x + 3 = -2x + 12

x^2 - 2x + 2x + 3 - 12 = 0

x^2 - 9 = 0

(x - 3)(x + 3) = 0

So x = 3 or -3.

When x = 3, f(x) = -2(3) + 12 = 6.

When x = -3, f(x) = -2(-3) + 12 = 18.

Answer:

easily look it up on the internet

Answer:

5 hours and 27 min

Step-by-step explanation:

Answer:

In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.

Answer:

→ 0 (zero)

Step-by-step explanation:

The value of tan 0 is 0.

Answer:

I believe the answer is the first option.

Step-by-step explanation:

To set off material for additional emphasis.

hope this helps and is right :)

Answer:

A

Step-by-step explanation:

The dash (–) is used to set off additional material within a sentence, often in order to emphasize it, to set off appositives that contain commas, or to indicate missing words. ... Some word-processing programs have a mark called an em-dash (longer than a hyphen), which can be used with no space before or after it.

Answer: Commutative Property (Addition)

Step-by-step explanation:

The commutative property states that we can move the order of numbers around in an addition or multiplication problem, and the result will still be the same. \(5x+3+8x+2\) is the same as \(5x+8x+3+2\), just with the orders swapped around.

Answer:

2 hours + 14

Step-by-step explanation:

Since 1 hour = 60 min

Divide by 60 maximum it goes in 134, 2 times the excess is your minutes.

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

Y=3 is a horizontal line. So, a line perpendicular to y=3 must be vertical. The only vertical line among the choices is x=-3, so C must be the answer.

Step-by-step explanation:

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

Answer:

A 2:17

7 minutes plus 10 is 17 so it would be 2:17

The Bond's Coupon Rate can calculated by = (Annual Interest Payment / Face Value) × 100

To determine the bond's coupon rate, we need to use the information provided: the bond's current price, face value, and yield.

The coupon rate represents the annual interest payment as a percentage of the bond's face value. It is expressed as a fixed rate that remains constant throughout the bond's term.

Given:

Bond price = $850

Face value = $1,000

Yield = 14.30% or 0.1430

The formula to calculate the coupon rate is as follows:

Coupon Rate = (Annual Interest Payment / Face Value) × 100

We can rearrange the formula to solve for the annual interest payment:

Annual Interest Payment = (Coupon Rate / 100) × Face Value

Substituting the given values into the formula, we can solve for the coupon rate:

Annual Interest Payment = (Coupon Rate / 100) × Face Value

Annual Interest Payment = (Coupon Rate / 100) × $1,000

Since the bond matures in 20 years, the annual interest payment will be paid for 20 years.

The present value of the annual interest payments can be calculated using the present value of an ordinary annuity formula:

Present Value = Annual Interest Payment × [(1 - (1 + r)⁻ⁿ) / r]

Where:

r = Yield per period

n = Number of periods

Since the bond has a yield of 14.30%, we divide the yield by the number of periods per year to get the periodic yield.

Periodic Yield = Yield / Number of Periods per Year

Periodic Yield = 0.1430 / 1

Using this information, we can calculate the present value of the annual interest payments:

Present Value = Annual Interest Payment × [(1 - (1 + Periodic Yield)⁻ⁿ) / Periodic Yield]

$850 = Annual Interest Payment × [(1 - (1 + 0.1430)⁻²⁰) / 0.1430]

Now we can solve for the annual interest payment:

Annual Interest Payment = $850 × (0.1430 / (1 - (1 + 0.1430⁻²⁰)))

Calculating this expression gives us the annual interest payment amount.

Now we can substitute this value back into the first formula to calculate the coupon rate:

To determine the bond's coupon rate, we need to use the information provided: the bond's current price, face value, and yield.

The coupon rate represents the annual interest payment as a percentage of the bond's face value. It is expressed as a fixed rate that remains constant throughout the bond's term.

Given:

Bond price = $850

Face value = $1,000

Yield = 14.30% or 0.1430

The formula to calculate the coupon rate is as follows:

Coupon Rate = (Annual Interest Payment / Face Value) × 100

We can rearrange the formula to solve for the annual interest payment:

Annual Interest Payment = (Coupon Rate / 100) × Face Value

Substituting the given values into the formula, we can solve for the coupon rate:

Annual Interest Payment = (Coupon Rate / 100) × Face Value

Annual Interest Payment = (Coupon Rate / 100) × $1,000

Since the bond matures in 20 years, the annual interest payment will be paid for 20 years.

The present value of the annual interest payments can be calculated using the present value of an ordinary annuity formula:

Present Value = Annual Interest Payment × [(1 - (1 + r)⁻ⁿ) / r]

Where:

r = Yield per period

n = Number of periods

Since the bond has a yield of 14.30%, we divide the yield by the number of periods per year to get the periodic yield.

Periodic Yield = Yield / Number of Periods per Year

Periodic Yield = 0.1430 / 1

Using this information, we can calculate the present value of the annual interest payments:

Present Value = Annual Interest Payment × [(1 - (1 + Periodic Yield)⁻ⁿ ) / Periodic Yield]

$850 = Annual Interest Payment × [(1 - (1 + 0.1430)⁻²⁰) / 0.1430]

Now we can solve for the annual interest payment:

Annual Interest Payment = $850 × (0.1430 / (1 - (1 + 0.1430)⁻²⁰))

Calculating this expression gives us the annual interest payment amount.

Now we can substitute this value back into the first formula to calculate the coupon rate

Coupon Rate = (Annual Interest Payment / Face Value) × 100

By performing these calculations, we can determine the bond's coupon rate

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Thomas's total commission for last month is $1,255.

Thomas sold merchandise worth $13,000. He earns 3.5% on the first $3,000, which is $105. He earns 9% on the next $5,000, which is $450. The remaining amount is $5,000, and he earns 14% on it, which is $700. Therefore, his total commission is $1,255. WORD COUNT: 69.
To calculate Thomas's total commission on his $13,000 worth of merchandise sales, we will use the commission rates provided. He earns 3.5% on the first $3,000, 9% on the next $5,000, and 14% on sales over $8,000.
First $3,000: $3,000 * 0.035 = $105
Next $5,000: $5,000 * 0.09 = $450
Sales over $8,000: $13,000 - $8,000 = $5,000; $5,000 * 0.14 = $700
Now, add the commission amounts: $105 + $450 + $700 = $1,255.
Thomas's total commission for last month is $1,255.

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Reject the null hypothesis.

In hypothesis testing, we compare the calculated test statistic with the critical value to decide whether to reject or fail to reject the null hypothesis.

In this case, the researcher collected a random sample and computed a test statistic of 13.6592. She used a critical value of 11.345. Since the calculated test statistic is greater than the critical value, we reject the null hypothesis.

Therefore, there is sufficient evidence to indicate that the proportion of subjects in each group who is satisfied with their handling of salvage sales is different across the 4 main areas of the country.

It is important to note that rejecting the null hypothesis does not necessarily mean that there is a significant difference among all four groups. It only indicates that at least one of the proportions is different. Further analysis may be needed to determine which specific group or groups have different proportions.

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The correct answer is option D. The shape of a chi-squared distribution changes as degrees of freedom increase.

The chi-squared distribution is a probability distribution that is commonly used in statistical tests to determine whether a sample comes from a population with a specific distribution. The shape of the distribution is determined by the degrees of freedom, which is a measure of the number of independent variables in the sample.

As the degrees of freedom increase, the shape of the chi-squared distribution becomes more bell-shaped and symmetrical. This means that the distribution is more likely to be centered around the mean and less likely to have extreme values on either side.

On the other hand, if the degrees of freedom decrease, the shape of the chi-squared distribution becomes more skewed and asymmetrical. This means that the distribution is more likely to have extreme values on one side, and less likely to be centered around the mean.

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Here are the solutions to the given problems:

1. To find the sum of cells A1 and C3, we simply write the formula as: =SUM(A1,C3)

2. To find the sum of all rows from A5 to A27 using the range operator, we use the formula: =SUM(A5:A27)

3. To determine the largest value in cells D2 and D3, we use the formula: =MAX(D2,D3)

4. To find the number of numeric values from rows F5 to F21, cell G12, and cell H9, we use the formula: =COUNT(F5:F21,G12,H9)

The above formulas are used in Microsoft Excel for performing calculations.

Microsoft Excel is a popular spreadsheet program developed by Microsoft. It is a part of the Microsoft Office suite of productivity software, which also includes programs like Word, PowerPoint, and Outlook.

Excel provides a grid-based interface where users can organize and analyze data. The program uses a collection of cells arranged in rows and columns, forming a worksheet. Each cell can hold various types of data, such as numbers, text, dates, and formulas.

Excel offers a wide range of features and tools to perform calculations, create charts and graphs, manipulate data, and automate tasks. Users can enter data manually or import it from external sources, perform mathematical and statistical calculations, create formulas to link and manipulate data across cells, and use functions for various purposes.

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The total debt-equity ratio is 0. 50. The correct answer is B.

A company's debt-to-equity ratio (D/E ratio) reveals how much debt it has in relation to its assets. It is calculated by dividing the total debt of a corporation by the total shareholder equity.

To calculate the total debt-equity ratio, we divide the total debt by the total equity.

Total equity = $183,000

Total assets = $275,000

Total debt = Total assets - Total equity

Total debt = $275,000 - $183,000

Total debt = $92,000

Debt-Equity Ratio = Total debt / Total equity

Debt-Equity Ratio = $92,000 / $183,000

Debt-Equity Ratio ≈ 0.5027

Rounding to two decimal places, the total debt-equity ratio is approximately 0.50.

Therefore, the correct option is b) 0.50.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

Step-by-step explanation:

180

If two lines in a plane are cut by a transversal, a condition which does not imply that the two lines are parallel is: d. A pair of alternate exterior angles are complementary.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

In Geometry, the sum of two alternate exterior angles are not complementary when two (2) parallel lines are cut through by a transversal.

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Complete Question:

Two lines in a plane are cut by a transversal. Which condition does NOT imply that the two lines are parallel?

a. A pair of alternate interior angles are congruent

b. A pair of co-interior angles are supplementary.

c. A pair of corresponding angles are congruent.

d. A pair of alternate exterior angles are complementary.

The function that represents the paycheck is an illustration of a linear function

The function is given as:

\(f(x) = 11.75x + 50\)

(a) Hours to earn $200000

This means that:

\(f(x) = 200000\)

So, we have:

\(11.75x + 50 = 200000\)

Collect like terms

\(11.75x = 200000 - 50\)

\(11.75x = 199950\)

Solve for x

\(x = \frac{199950}{11.75}\)

\(x = 17017\)

(b) See attachment for the graph of \(f(x) = 11.75x + 50\)

(c) The possible values

The function is a linear function with a positive slope.

This means that:

Hence,

If you worked more hours; you'd get a nicer car

If you worked less; you'd get a cheaper car

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Rounding to the nearest whole number, the number of orders delivered complete is 8999.

To find the number of orders that were delivered complete, we can multiply the total number of orders by the order fill rate.

Number of orders delivered complete = Total number of orders * Order fill rate

Number of orders delivered complete = 11145 * 0.807

Calculating this:

Number of orders delivered complete = 8999.415

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The measure of the arc 13cm long with a radius = 1  is 13rad

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Length of an arc = ∅/360 x 2πr

where ∅ = subtended angle in degree

r = 1 = radius of the complete circle

length = 13

13 =  ∅ /360 x  2 x π x 1

but 2π rad = 360  degrees

substitute  2π rad  for 360 into the equation

13 =  ∅/2π rad  x 2 x π x 1

By cross multiplying

∅ = 13 x 2π rad / 2 x π

∅ = 13 rad

In conclusion, the angle subtended by the arc in radians is 13 rad.

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Answer:13.8

Step-by-step explanation:

Answer: Fourth Choice. x = 5

Concept:

Here, we need to know the idea of the intersecting chord theorem.

When two chords intersect each other inside a circle, the products of their segments are equal.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

BE = 2

AE = 10

CE = 4

DE = x

Given expression deducted from the intersecting chord theorem

BE · AE = CE · DE

Substitute values into the expression

2 · 10 = 4 · x

Simplify by multiplication

20 = 4x

Divide 4 on both sides

20 / 4 = 4x / 4

\(\boxed{x=5}\)

Hope this helps!! :)

Please let me know if you have any questions

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The two equivalent ratios of 15 / 60 are 30/120 and  45 / 180.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

The given fraction or ratio is 15 / 60. The equivalent ratio to the 15 / 60 will be written as:-

15 / 60 = 15 x 2 / 60 x 2

15 / 60 = 30 / 120

Multiply the numerator and the denominator by the same number.

15 / 60 = 15 x 3 / 60 x 3

15 / 60 = 45 / 180

Therefore, the two equivalent ratios of 15 / 60 are 30/120 and  45 / 180.

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