justine practiced for 5 minutes more than twice as many minutes as verity. if v represents the number of minutes that verity practiced, which algebraic expression represents the number of minutes that justine practiced?​

Answer:

C=32°

because sum of three angles of triangles is 180°

A random variable with a uniform probability density function (pdf) over the interval [5, 10] means that all values within this interval have an equal likelihood of occurring.

A random variable is a variable whose value is determined by the outcome of a random process. In this case, we have a random variable with a uniform pdf, which means that the probability of the variable taking on any specific value within the interval [5, 10] is the same. The uniform pdf is a flat, constant function over this interval, indicating that all values within the interval have an equal likelihood of being observed.

The probability density function (pdf) describes the probability distribution of a continuous random variable. In the case of a uniform distribution, the pdf is constant within the interval [5, 10] and zero outside of this interval. This implies that the variable has an equal chance of assuming any value within the interval, and the probability of it taking on a value outside this interval is zero.

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Therefore, the correct option is (b) 46 that is the number of students who like Twix and Reese's peanut butter cups only (region D) by principle of inclusion-exclusion, we need to subtract the number of students who like Snickers, as well as the number of students who like all three kinds of candy, from the number of students who like Twix and Reese's peanut butter cups along with one or both of the other kinds of candy.

We can start by using the principle of inclusion-exclusion, which tells us that:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

where |X| denotes the number of elements in set X.

Using the numbers given in the problem, we have:

|A| = 129

|B| = 118

|C| = 145

|A ∩ B| = 22

|B ∩ C| = 54

|A ∩ C| = 55

|A ∩ B ∩ C| = 8

Substituting these values into the formula, we get:

|A ∪ B ∪ C| = 129 + 118 + 145 - 22 - 55 - 54 + 8 = 269

This tells us that 269 students like at least one of the three kinds of chocolate candy.

To find the number of students who like Twix and Reese's peanut butter cups only (region D), we need to subtract the number of students who like Snickers, as well as the number of students who like all three kinds of candy, from the number of students who like Twix and Reese's peanut butter cups along with one or both of the other kinds of candy:

|D| = |B ∩ C| - |A ∩ B ∩ C|

= 54 - 8

= 46

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it will take them both 600 seconds to ice 35 cupcakes.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here,  Ann can ice a cupcake in 30 seconds,

Then, the total number of cupcakes iced by Ann is,

t/30 cupcakes

Similarly, If Sarah can ice a cupcake in 40 seconds,

Then, the total number of cupcakes iced by Sarah is

t/40 cupcakes,

Hence, For them to ice 35 cupcakes together, then;

t/30 +  t/40 = 35

where t is the times taken by both of them to ice 35cupcakes

40t+30t/1200 = 35

70t/1200 = 35

7t/120 = 35

t/120 = 5

t = 600

Thus, This shows that it will take them both 600seconds to ice 35 cupcakes.

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Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

Answer:

C

Step-by-step explanation:

Move 2x to the right side of the equation and it becomes -7y= -2x + 24 and then divide by -7 and then it becomes y = 2/7 x -24/7

Answer:

2x - 7y = 24

2x - 24 = 7y

7y = 2x - 24

y = (2x - 24)/7

= 2/7x - 24/7

Answer:

a

Step-by-step explanation:

Answer:

d. 1192.16

Step-by-step explanation:

Yes, an airport without an authorized Instrument Approach Procedure (IAP) may be included as an alternate on an IFR flight plan if the current weather forecast indicates that the ceiling and visibility at the estimated time of arrival (ETA) will meet the required criteria for an alternate airport.

When creating an IFR flight plan, pilots must identify an alternate airport in case the destination airport becomes unavailable. The alternate airport should have suitable weather conditions to ensure a safe approach and landing. Typically, an airport with an authorized IAP is preferred as an alternative since it provides established instrument procedures.

However, in certain circumstances, an airport without an authorized IAP can be considered as an alternate if the current weather forecast indicates that the ceiling and visibility at the ETA will meet the minimum requirements. This allows for flexibility in flight planning and provides additional options for pilots.

It's important to note that pilots should carefully assess the weather conditions and evaluate the available resources, such as navigational aids and facilities, at the alternate airport to ensure a safe and successful diversion if needed. Flight planning should always prioritize safety and adherence to applicable regulations and guidelines.

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Answer:

B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

Step-by-step explanation:

Got it right on the quiz

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)

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The probability of the value of  (0.21) distribution using the normal distribution table is: 0.3166

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

In the question, we have

Probability of (0.21 < z <1.28)

= P(z < 1.28) - P(z < 0.21)

Probability of value for z

= 1.28 using z table is 0.8997

=> P(z < 1.28)

= 0.8997

probability of value for z = 0.21

Now, find the value of the probability using the normal distribution table:

using the z table of 0.21; we get:

The value of z is: 0.5832

=> P(z < 0.21) = 0.5832;

The value of  Probability of (0.21 < z <1.28)

= Probability of (z < 1.28) - Probability of (z < 0.21)

= 0.8997 - 0.5832

= 0.3165

~ 0.3166

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Three right angles are 270, the rest of two angle are 135 degree for each.

What is right angle triangle explain?

it is not a diamond shape. it is five angles, five sides.

sum of 5 angles is 540

three right angles are 270, the rest of two angle are 135 degree for each.

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Answer:

The perimeter of the portrait is $2\times(1+2)=6$ yards.

To find the cost of the frame, we need to calculate the length of the frame needed, which is the same as the perimeter of the portrait. So, the length of the frame needed is 6 yards.

The cost of the frame will be the cost per yard multiplied by the length of the frame:

$6~\text{yards} \times $10.17/\text{yard} = $61.02$

Therefore, the frame will cost $61.02.

Answer:

A.

Step-by-step explanation:

Answer:

a.12

Step-by-step explanation:

4.8x2.5=12

The 50th term is 290.

It is a sequence where there is a common difference between each consecutive term.

Example:

12, 14, 16, 18, 20 is an arithmetic sequence.

We have,

-4, 2, 8, 14,

This is an arithmetic sequence.

First term = a = - 4

Common difference.

d = 2 - (-4) = 6

d = 8 - 2 = 6

Now,

The nth term = a + (n -1)d

So,

n = 50

a = -4

d = 6

50th term.

= -4 + (50 - 1) 6

= - 4 + 49 x 6

= - 4 + 294

= 290

Thus,

The 50th term is 290.

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The complete question:

What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?

The reformulated problem becomes minimize Z = 2x1 + 3x2 + x3 + M1 + M2 + M3, subject to -  x1 + 4x2 + 2x3 - M1 + A1 = 8, 3x1 + 2x2 - M2 + A2 = 6, x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0, where M1, M2, and M3 are the artificial variables associated with each constraint, and A1 and A2 are the artificial variables for the artificial objective function.

To convert the given problem into a convenient artificial problem for the simplex method, we introduce artificial variables. The objective function remains the same, Minimize Z = 2x1 + 3x2 + x3.

For each constraint, we subtract an artificial variable (M) to represent a surplus or excess value and add an artificial variable (A) to the left-hand side to form equality.

The first constraint becomes x1 + 4x2 + 2x3 - M1 + A1 = 8. Here, M1 serves as an artificial variable representing the surplus or excess of the constraint.

The second constraint becomes 3x1 + 2x2 - M2 + A2 = 6, with M2 as the artificial variable.

Additionally, we introduce artificial variables M3, A1, and A2 in the objective function to track the artificial problem's feasibility.

All variables, including the artificial variables, are non-negative (x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0).

By introducing artificial variables, we can transform the original problem into a form that can be solved using the simplex method, allowing us to determine the feasibility and optimal solution.

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The major variable in this statistics class is considered a nominal variable.

The major variable is considered a nominal level of measurement because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

In other words, the values assigned to different majors (e.g. Engineering, English, History) do not represent numerical quantities or differences.

The level of measurement of a variable determines the type of statistical analyses that can be conducted with that variable. In this case, the major variable is considered a nominal variable because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

Nominal variables are often used to categorize or group data based on non-numeric characteristics, such as gender, race, or occupation. By collecting data on both GPA and major, the statistics instructor can explore relationships between these variables, such as whether certain majors tend to have higher or lower GPAs.

In conclusion, the major variable in this statistics class is considered a nominal variable.

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Answer:

4

Step-by-step explanation:

x1 = 2, y1 = 4

x2 = 3, y2 = 8

from, (y2-y1)/(x2-x1) = m

m = (8-4)/(3-2)

m = 4/1

m = 4

Therefore, the slope of the line is 4

The order should include: 32 chairs, 24 monitors, 14 desks, 25 company orientation bulletins, and 18 hard drives.

To determine what should be ordered based on the given instructions and information provided by the office manager, let's break down each requirement:

1- Number of Chairs: The order for chairs should be based on the increase in headcount. Given that 17 people have left the company and 33 have joined in the past 60 days, the net increase is 33 - 17 = 16 people. Therefore, the number of chairs to be ordered should be double this increase, which is 2 * 16 = 32 chairs.

2- Number of Monitors: The IT department has requested 12 monitors. According to the instructions, we need to order double the number requested. Thus, the number of monitors to be ordered is 2 * 12 = 24 monitors.

3- Number of Desks: The accounting department has requested 40 desks. We are required to order 1/3 of the desks requested, rounding up if necessary. 1/3 of 40 is approximately 13.33, which rounds up to 14 desks.

4- Number of Company Orientation Bulletins: The administrative department requested 20 company orientation bulletins. We need to order 1/4 more than what they requested, which is 1/4 * 20 = 5 additional bulletins. Therefore, the total number of bulletins to be ordered is 20 + 5 = 25.

Number of Hard Drives: The instructions state that 18 hard drives should be ordered.

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The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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Answer:

NO IT IS NOT A SOLUTION

Step-by-step explanation:

When it is given in points such as (1,6) then we consider 1st point as x and second as y so replacing it dosent makes correct solution.

Answer:

x=35

Step-by-step explanation:

Answer:

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Answer:

Yes, Alternate Exterior Angles

Step-by-step explanation:

A testicle cuff is a ring-shaped device around the scrotum between the body and the testicles which when closed does not allow the testicles to slide through it. A common type has two connected cuffs, one around the scrotum and the other around the base of the penis. They are just one of many devices to restrain the male genitalia. A standard padlock, which cannot be removed without its key, may also be locked around the scrotum.

We have created our own arithmetic sequence which is: a₁ = 3; a₂ = 6; a₃ = 9

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

An arithmetic progression is another name for an arithmetic sequence.

So, make up your own arithmetic order. the first three terms in writing.

Think about the numbers 3, 6, 9, 12, 15, etc.

a₁ = 3

a₂ = 6

a₃ = 9

Therefore, we have created our own arithmetic sequence which is: a₁ = 3; a₂ = 6; a₃ = 9

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Correct question:

An arithmetic sequence is a sequence with a common difference. It can be represented by the recursive formula a1 = a (where a is the first term of the sequence); an = an - 1 + d. Create your own arithmetic sequence. Write out the first 3 terms.

Answer:

$3210

Step-by-step explanation:

Answer:

3210

Step-by-step explanation:

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,