1, 3, 5, 7, 9
what is the variance of this data?

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity  of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity  of White paint

=6.2 pints-2.48 pints

=3.72 pints

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

yes it does

Step-by-step explanation:

the slope is y = 4x -1 and it stays consistant

Answer:

the data in the table does not show a proportional relationship.

Yes, the figure shown in the xy-coordinate plane is a parallelogram because side OP is parallel to side TS and side OT is parallel to side PS

In order for any quadrilateral to be considered a parallelogram, two pairs of its parallel sides must be equal (congruent). Therefore, we would determine the slope of each side by using this mathematical equation:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

For side OP, the slope is given by:

Slope (m) = (b - 0)/(a - 0)

Slope (m) = b/a.

For side TS, the slope is given by:

Slope (m) = (0 - )/(c - (a + c))

Slope (m) = -b/-a = b/a

Therefore, side OP is parallel to side TS.

For side OT, the slope is given by:

Slope (m) = (0 - 0)/(c - 0)

Slope (m) = 0.

For side PS, the slope is given by:

Slope (m) = (b - b)/((a + c) - c)

Slope (m) = 0

In conclusion, the figure shown above is a parallelogram because side OT is parallel to side PS and side OP is parallel to side TS.

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Answer:

Step-by-step explanation:

Answer:

a=60 b=60 c=120 is the answer

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

One of the primary factors determining your card's A.P.R. is your credit score is "True". The correct answer is B.

Credit card issuers evaluate applicants' creditworthiness based on their credit scores, among other factors, and use this information to determine the interest rate they will be charged. Higher credit scores generally result in lower A.P.R.s, reflecting a lower risk profile.

However, it is important to note that the specific A.P.R. offered to an individual may also depend on other factors, such as the card's terms and conditions, the applicant's income, and the card issuer's policies. It is incorrect to assume that most cardholders pay the lowest rate listed when given a range of A.P.R.s, as individual circumstances and creditworthiness vary.

Additionally, higher A.P.R.s do not benefit cardholders, as they result in increased interest charges. The notion that A.P.R.s on credit cards are usually fixed and not adjusted is also incorrect, as A.P.R.s can be variable and subject to change based on various factors.

Therefore, the correct answer is B) One of the primary factors determining your card's A.P.R. is your credit score.

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Note: The question would be as

Reading through a credit card disclosure (aka the Schumer Box), you see the A.P.R. for a specific card is set at 9.99% -23.99%. Which of the following statements is probably TRUE?

a. When given a range of A.PR.s like this, you can assume most cardholders pay the lowest rate listed

b. One of the primary factors determining your card's A.P.R. is your credit score

c. With credit card A.PR.s, cardholders like higher A.P.R.s because they earn more

d. The A.PR. on credit cards is usually fixed so they won't be adjusted as long as you are a cardholder

9514 1404 393

Answer:

Step-by-step explanation:

First differences are ...

  -38 -(-45) = 7

  -31 -(-38) = 7

  -24 -(-31) = 7

The first differences are constant, so this is an arithmetic sequence with a common difference of 7.

Answer:

1) Maximum number of tables that can be kept in the dinning room is 10 tables

2)The maximum number of customers, given 6 people per table is 60 customers

Step-by-step explanation:

The parameters given are;

Distance between people seated at different tables = 6 ft

Dimension of table = 2 m by 1.5 m

Number of people at a table = 6 people

Dimension of dinning;

Width = 12 m

Length = 20 m

Dimension of entrance;

Width = 20/21*30  m

Length = 10 m

With 6 meters between tables and a table with of 1.5, we have for the arrangement in the question;

3 tables = 4.5 m

Distance between = 2 × 6 = 12

4.5 + 12 = 16 m (More room required)

With two tables, we have;

Width of tables = 2×1.5 = 3 m

Distance between = 6 m

Dining room width required = 3 + 6 = 9 m

Therefore, the maximum tables in each row = 2

Given that the dining room area extends to the entrance area, total length = 30 m.

With 4 tables we have;

Length = 4 × 2 + 6 × 3 = 26

While on the entrance side of the dinning room area which is 20 m, we have 3 tables;

Length = 3 × 2 + 6 × 2 = 18

Therefore, both arrangements are acceptable;

Just on entering by the right the length = 20/21×30 m

Therefore, with 3 tables will required number due to proximity wit the door and tables arranged along the right wall of the dinning

1) Maximum number of tables that can be kept in the dinning room = 4 + 3 + 3 = 10 tables

2)The maximum number of customers, given 6 people per table = 6×10 = 60 customers.

The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225. The probability that a light bulb will survive at most 533 hours is 0.86.

Given that,

The lifespan of light bulbs is generally distributed. The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225.

We have to calculate the probability that a light bulb will survive at most 533 hours.

We would use the normal distribution formula, which is stated as, because the lifespan of light bulbs is distributed regularly,

z = (x - µ)/σ

Where

x = life of light bulbs.

µ = mean lifetime

σ = standard deviation

From the information given,

µ = 520 hours

Variance = 225

σ = √variance = √225

σ = 15

The probability that a light bulb will last for no more than 560 hours is given by

P(x ≤ 533)

For x = 533

z = (533 - 520)/15 = 0.86

According to the normal distribution table, 0.86 represents the probability for the z score.

Therefore, the probability that a light bulb will survive at most 533 hours is 0.86.

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The total cost of the repair job is determined by adding the fixed call-out charge to the additional charge for each half-hour spent on the repair. The exact amount will depend on the specific duration of the repair job.

The £28 call-out charge refers to the fixed fee that is charged regardless of the amount of time spent on the repair job. This means that even if the repair takes less than half an hour, you will still need to pay this fixed fee.

The additional charge of £16 for each half-hour he spends on the pair means that for every 30 minutes spent working on the repair job, an extra £16 will be added to the total cost.

To calculate the total cost of the repair job, you need to consider the call-out charge and the time spent on the repair.

For example, let's say the repair took 1 hour and 15 minutes.

First, calculate the number of half-hours spent on the repair. In this case, it would be 1 hour (2 half-hours) plus an additional 15 minutes, which is less than half an hour. So the total number of half-hours spent on the repair would be 2.

Next, multiply the number of half-hours by the additional charge of £16. In this case, 2 half-hours multiplied by £16 equals £32.

Finally, add the call-out charge of £28 to the additional charge of £32. The total cost of the repair job would be £60 (£28 + £32).

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Answer:   73 degrees

=======================================================

Explanation:

We're given that segment AC bisects angle BAD.

This means the angle has been split into two equal parts.

Angle CAD = angle BAC = 30

So,

angle BAD = (angleCAD)+(angleBAC) = 30+30 = 60 degrees

Let's find angle ABD. I'll use the fact that the three interior angles of a triangle always add to 180. This idea will be used a few times in this solution.

(angeBDA)+(angleBAD)+(angleABD) = 180

(34)+(60)+(angleABD) = 180

94+angleABD = 180

angleABD = 180-94

angleABD = 86

-----------------------------

We're also given that segment BE bisects angle ABD, which means:

angleABE = angleEBD = 86/2 = 43

We'll use angle ABE and angle BAD to determine angle AEB.

(angeABE)+(angleBAD)+(angleAEB) = 180

(43)+(60)+(angleAEB) = 180

103+(angleAEB) = 180

angleAEB = 180-103

angleAEB = 77

This is the same as angle AEF.

-----------------------------

Now focus your attention on triangle EFA.

(angeAEF)+(angleFAE)+(angleEFA) = 180

(77)+(30)+(angleEFA) = 180

107+(angleEFA) = 180

angleEFA = 180-107

angleEFA = 73

Notice how angle EFA and angle BFC are vertical angles. Therefore, they are congruent and we can say angle BFC = 73

Answer:

  m∠BFC = 73°

Step-by-step explanation:

Given the angles and bisectors in the figure, you want the measure of angle BFC.

AC bisects angle BAD, so angle BAC is the same as angle CAD, 30°.

The sum of angles BAD and ADB is 60° +34° = 94°, so the measure of angle ABD is ...

  ∠ABD = 180° -94° = 86°

BE bisects angle ABD, so the measure of angle  ABE is 86°/2 = 43°.

An exterior angle of a triangle is equal to the sum of the remote interior angles.

The angle of interest, ∠BFC, is an exterior angle to triangle AFB, so is the sum of angles FAB and FBA.

  ∠BFC = 30° +43°

  ∠BFC = 73°

Answer:

i'm pretty sure its 2.5 hours

Step-by-step explanation:

Answer:

475.2

Step-by-step explanation:

682 is 1.55 of the original amount so 1.55x=682

682/1.55=440

440*1.08=475.2

The standard deviation for that probability distribution is 0.520.

R = amount red ball drawn from the hat

P(R) = probability red ball drawn from the hat

σ = standard deviation

Standard deviation for probability distribution can be calculated by this formula,

σ = \(\sqrt{\sum R^2P(R)-(\sum RP(R))^2}\)

First, we calculate \(\sum R^2P(R)\)

\(\sum R^2P(R)\) = \(0^2\) × 0.729 + \(1^2\) × 0.243 + \(2^2\) × 0.027 + \(3^2\) × 0.001

= 0 × 0.729 + 1 × 0.243 + 4 × 0.027 + 9 × 0.001

= 0 + 0.243 + 0.108 + 0.009

= 0.36

Next, we calculate \(\sum RP(R)\)

\(\sum RP(R)\) = 0 × 0.729 + 1 × 0.243 + 2 × 0.027 + 3 × 0.001

= 0 + 0.243 + 0.054 + 0.003

= 0.3

Now, we can calculate standard deviation,

σ = \(\sqrt{\sum R^2P(R)-(\sum RP(R))^2}\)

= \(\sqrt{0.36-(0.3)^2}\)

= \(\sqrt{0.27}\)

= 0.51961524227

round to 3 decimal places

= 0.520

Thus, this probability distribution of red balls drawn from the hat has a standard deviation of 0.520.

Your question is incomplete, but most probably your full question was (image attached)

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Answer:

The correct option is;

1 box contains x and 2 boxes contain minus sign

Step-by-step explanation:

Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²

The parameters given are;

Ada drove 2 fewer miles today than she drove yesterday, therefore;

Let X = number of miles Ada drove yesterday

We have number of miles Ada drove today = X - 2

Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign

Answer:

its b

Step-by-step

i got it right on my test

The maximum number of students that can be seated is 200 students.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

A series is produced by sequence, which is also known as progression. One of the fundamental ideas in mathematics is sequence and series. A series is the total of the components in a sequence, whereas sequences are groups of numbers arranged in an ordered and specified manner.

The group or sequential arrangement of numbers in a certain order or according to a set of criteria is called a sequence. The terms of a sequence are added to create a series. An one phrase may appear many times in a sequence. There are two different types of sequences: infinite sequences and finite sequences. Series are defined by combining the terms of the sequence. In rare circumstances, a series may also include a sum of infinite terms.

For even number of seats row no. of students in each row = n/2

and for odd number of seats number of students in each row = n/2 + 1

here n is the number of seats in each row.

So, the sequence is like :

5, 6, 6, 7,7, 8, 8, 9, 9, 10, 10 ,11, 11, 12, 12, 13, 13, 14, 14 ,15

So, the maximum number of students that can be seated is = 200 students.

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The time after 21 minutes from 9:39 is 2:56am.

Given that it is now twenty-one minutes to ten, we need to determine the time in 5 hours and 17 minutes.

To find the answer, we can add 5 hours and 17 minutes to the current time, which is 9:39 PM. Let's first convert the hours to minutes:5 hours = 5 x 60 = 300 minutes.

Then, add 300 minutes and 17 minutes:300 minutes + 17 minutes = 317 minutes.

Since there are 60 minutes in an hour, we need to divide 317 by 60 to determine the number of hours:317 / 60 = 5 with a remainder of 17.

Therefore, the time in 5 hours and 17 minutes will be 2:56 AM.

To check our answer, we can work backward:

Start with 2:56 AM and subtract 5 hours and 17 minutes:2:56 AM - 5 hours = 9:56 PM9:56 PM - 17 minutes = 9:39 PMAs expected, we arrived back at the original time of 9:39 PM. Therefore, the final answer is 2:56.

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Each sweatshirt costs $18.99.

To solve the problem, we need to set up a system of equations based on the information given. Let's let x be the cost of one sweatshirt and y be the cost of one pair of pants.

From the first sentence, we know that Jacob purchased 2 sweatshirts and 4 pairs of pants for $145.94, so we can write:

2x + 4y = 145.94

From the second sentence, we know that David purchased 5 of the same brand of sweatshirts and 3 of the same brand of pants for $175.92, so we can write:

5x + 3y = 175.92

Now we have two equations with two variables. To solve for x, we can use either substitution or elimination.

Using elimination, we can multiply the first equation by 5 and the second equation by -2, and then add them together to eliminate y:

(2x + 4y) * 5 = 729.70

(5x + 3y) * -2 = -351.84

10x + 20y - 10x - 6y = 377.86

14y = 377.86

y = 26.99

Now we can substitute this value of y into either of the original equations to solve for x. Let's use the first equation:

2x + 4(26.99) = 145.94

2x + 107.96 = 145.94

2x = 37.98

x = 18.99

Therefore, each sweatshirt costs $18.99.

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No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

Answer:

y= =1/2x-8

Step-by-step explanation:

Answer:

\((2 + \sqrt{3}) - (1 + \sqrt{3})i\)

Answer:

  (b)  (2+√3) -(1+√3)i

Step-by-step explanation:

Add like terms. Real terms are added; imaginary terms are added.

  (√3 -i) + (2-√3i) = (√3 +2) +(-i -√3i)

  = (√3 +2) -i(1 +√3) . . . . . the common factor of -i can be factored out

  = (2 +√3) -(1 +√3)i

Answer: x=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

that other person is right

Answer:

The area of the figure is 61.24 cm

Step-by-step explanation:

The area for the parallelogram is determined by base x height, so 7 x 6 = 42.

The area of a circle is \(\pi\)r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.

42 + 19.24 = 61.24

Answer:

C.6x + 10

Step-by-step explanation:

2(3x+5)

=2*3x+2*5

=6x+2*5

=6x+10