Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

The daily high temperature on Sam's birthday was warmer than the median temperature (first option).

Median is used to determine the value at the center of a dataset. It is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. The median represents 50% of the dataset.

The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is a measure of variation. The first quartile represents 25% of the dataset. While, the third quartile represents 75% of the dataset.

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Answer:

Umm Where's The Answer?

The value of x from the triangle inscribed in the circle which is the unknown angle is 22°

For a given triangle inscribed in a circle, it should be noted that the angle that is inscribed along the diameter of the circle will be regarded as the right angle.

This means that the angle facing the diameter line (C), i.e angle c is 90 degrees. We all know that the sum of angles in a triangle is 180 degrees. Therefore, to find the third unknown angle x, we have:

x  + 68° + 90° = 180°

x + 158° = 180°

x = 180° - 158°

x = 22°

Therefore, we can conclude that the value of x which is the unknown angle is 22°

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Answer:one pencil would be $0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to a recent survey, nearly half of the respondents cited better pay as their primary reason for changing jobs.

The survey was conducted on a national level and the results indicate that a majority of people are looking to increase their earnings by switching jobs.

Other reasons are:

In conclusion, the survey clearly showed that the main reason for job changes among respondents was better pay. However, various other factors also play a role in an individual's decision to switch jobs, such as working conditions, career paths, and location.

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Answer:

p+4

Step-by-step explanation:

Answer: d. 73,15

Step-by-step explanation:

10r + s -t =  ⟨73, 15⟩

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane.

Given:

r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩.

10r + s -t

=10(7,1 ) + (-6, 2) - (-9, -3)

=(70 - 6 + 9 , 10 + 2 + 3)

= (73, 15)

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1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.

2. The average utilization of the truck 141.67 seconds.

3. On average, there is 1 person waiting in line.

4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.

1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).

2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.

Average Waiting Time = 1.4167 * (50 + 50)

= 141.67 seconds.

3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.

Utilization = 0.5 / 1.2

= 0.4167 (or 41.67%).

The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.

Average Number of Customers - Average Utilization = 1.4167 - 0.4167

= 1.

4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:

Utilization = Delay Probability / (1 + Delay Probability).

=

Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).

The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.

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The probability of getting to game 7 is 31.25%.If the series is tied at 3-3, then the probability of each team winning 3 games is not 1/2.

Given that in a baseball World Series, there are two teams A and B, and we have to calculate the probability of getting to game 7, i.e., each team wins 3 games.

Let us solve the problem:Let's assume that the two teams are A and B. Now, since team A has to win three games and team B also has to win three games to make it to game 7, this means that the series should be tied at 3-3, i.e., both teams should have won an equal number of games.

Now, to calculate the probability, we can use the binomial distribution, which is a statistical formula that helps us calculate the probability of an event.

We can use the formula:

 P(X = b) = C(n,b) * pᵇ * (1 - p)ᵃ  (a=n-b)

Here, n = 6, k = 3, and p = 0.5 since both teams have an equal chance of winning a game.

So, the probability of each team winning three games and reaching game 7 is:

P(X = 3) = C(6,3) * 0.5³* (1 - 0.5)³  

P(X = 3) = 20 * 0.125 * 0.125

P(X = 3) = 0.3125 or 31.25%

Therefore, the probability of getting to game 7 is 31.25%.If the series is tied at 3-3, then the probability of each team winning 3 games is not 1/2.

It is incorrect because, in the last game, only one team can win, and the probability of each team winning is not equal. This is why the solution is wrong.

The probability of getting to game 7 in a baseball World Series, i.e., each team wins 3 games, is 31.25%. This is because both teams have to win an equal number of games to make it to game 7, which means that the series should be tied at 3-3.

To calculate the probability, we can use the binomial distribution formula. If the series is tied at 3-3, the probability of each team winning 3 games is not 1/2 because in the last game, only one team can win, and the probability of each team winning is not equal.

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The given relation is not an equivalence relation.

To show that a relation is an equivalence relation, it must satisfy three properties: reflexive, symmetric, and transitive.

Reflexive property: Every element should be related to itself. In this relation, we have (0, 0), (1, 1), and (6, 6), so the reflexive property holds.

Symmetric property: If (a, b) belongs to R, then (b, a) must also belong to R. Here, we have (0, 1), (1, 0), (1, 6), and (6, 1), which satisfy the symmetric property.

Transitive property: If (a, b) and (b, c) belong to R, then (a, c) must also belong to R. In this relation, we have (0, 1) and (1, 6), which implies (0, 6) should belong to R for the transitive property to hold. However, (0, 6) is not part of the relation R, so the transitive property is violated.

Therefore, the given relation is not an equivalence relation.

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The missing value for the letter b can be determined by finding the ratio of pencils to pens and applying it to the known value of pencils. The value of b is 168.

To find the missing value for the letter b, we need to determine the ratio of pencils to pens based on the given information. We can do this by dividing the number of pencils by the number of pens in each case.

In the first case, the ratio is 18/72 = 1/4.

In the second case, the ratio is 29/35 = 1/5.

To find the missing value for b, we need to apply the same ratio to the number of pens in the third case, which is 140.

Using the ratio 1/5, we can calculate b as follows:

b = (1/5) * 140 = 28.

However, there seems to be a mistake in the given answer choices. The correct value of b based on the calculations is 28, not 168. Therefore, the missing value for the letter b is 28.

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There are 3 terms in expression 7\(x^{2}\)-5x+5.

Monomials, binomials, trinomials, and polynomials are all examples of algebraic expressions in mathematics. Algebraic expressions are those that are modeled utilizing unknowable constants, coefficients, and variables. A variable can have any value because it is not fixed, unlike a constant, which has a definite value. Monomials, binomials, trinomials, and polynomials are examples of algebraic expressions that are created by combining variables and constants using arithmetic operations. Terms are the components of algebraic expressions that are separated by addition or subtraction. The type of expression—monomial, binomial, trinomial, or polynomial—depends on the number of terms.

An algebraic expression with three terms is called a trinomial.

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Answer:

The mean height is 3.2 feet and thestandard deviation 0.6 feet. A… ... A forest ranger has data on the heights of a large growth ... mately what fraction of the trees should we expect to be.

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma}\)

x is the raw score, μ is mean and σ is standard deviation

Given that μ = 3.2, σ = 0.6, hence:

\(For\ x = 4:\\\\z=\frac{4-3.2}{0.6} =1.33\\\\\\For\ x = 4.4:\\\\z=\frac{4.4-3.2}{0.6} =2\)

From the normal distribution table, P(4 < x < 4.4) = P(1.33 < z < 2) = P(z < 2) - P(z < 1.33) = 0.9772 - 0.9082 = 7%

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

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There are \(\frac{60!}{57!}\) ways we can do it.

Since organization has 60 members from which we haveto pick one person at random to be the president, another person to be the vice president and a third person to be the transformer,

the president can be select in 60c1 = \(\frac{60!}{1! 59!}\)

                                                           = \(\frac{60 *59!}{1*59!}\)

                                                           = 60 ways

After this for vice president we have 59 members from which vice president can be select in 59c1 = 59 ways.

and for treasure we have 58 members from which treasure can be select in 58c1 = 58 ways.

∴ No. of ways in which we can select president, vice president and treasure = 60 × 59 × 58

              =  \(\frac{60 * 59 * 58 * 57!}{57!}\)

              =  \(\frac{60!}{57!}\)

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a) 75.80 percentage of students will be scoring below 550 in a typical year.

b) 22.2 marks should be set by the engineering school setas a comparable standard on ACT math test.

Here we have been mentioned that in the recent years, sat maths exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.

a) The percentage of the students scoring below 550 marks in a typical year is calculated as follows:

Let x be the SAT score

So, x follows normal distribution

Given above,

mean (μ) = 480

standard deviation (σ) = 100

we will find P ( x < 550)

We will use the excel function NORM.DIST to find the required probability

P(x < 550) = NORM.DIST\((550, 480, 100, TRUE)\)

= 0.7580

= 75.80%

Hence the percentage of the students who are scoring below 550 in a typical year = 75.80%

b) We calculate the score to be set by the engineering school as a comparable standard on the ACT math test as follows:

Let Z be the ACT score

Z follows the normal distribution

Given above, μ = 18 and σ = 6

Let Z' be the ACT score comparable to the standard set for SAT

Then we need to find Z' such that P(Z < Z') = 75.80% = 0.758

From standard normal tables we get Y' such that

Z' = NORM.INV\((0.758, 18, 6)\)

= 22.2

The ACT score that needs to be set by the college = 22.2 marks

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The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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Answer:

Step-by-step explanation:

\(\left[\begin{array}{cc}2&7\\1&3&\end{array}\right] \left[\begin{array}{cc}-3&7\\1&-2&\end{array}\right] =\left[\begin{array}{cc}2(-3)+7(1)&2(7)+7(-2)\\1(-3)+3(1)&1(7)+3(-2)&\end{array}\right] =\left[\begin{array}{cc}1&0\\0&1&\end{array}\right]\)

Null Hypothesis is The bags are filled correctly at the 440-gram setting.

Alternative Hypothesis isThe bags are underfilled at the 440-gram setting.

Null Hypothesis is a statement that suggests that there is no significant difference or relationship between two variables or populations. In other words, it is the hypothesis that the researcher wants to reject, in order to support an alternative hypothesis.

Alternative Hypothesis is the opposite of the null hypothesis. It suggests that there is a significant difference or relationship between two variables or populations. It is the hypothesis that the researcher wants to support by rejecting the null hypothesis.

Here we have

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 440 gram setting is there sufficient evidence at the 0.02  

To determine whether there is sufficient evidence at the 0.02 level that the bags are underfilled, a one-sample t-test can be performed.

The t-test will compare the mean weight of a sample of bags filled at the 440-gram setting to the target weight of 440 grams.

If the mean weight of the bags is significantly less than 440 grams, then there is evidence to reject the null hypothesis and conclude that the bags are underfilled.

Therefore,

Null Hypothesis: The bags are filled correctly at the 440-gram setting.

Alternative Hypothesis: The bags are underfilled at the 440-gram setting.

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Answer:

A

Step-by-step explanation:

2 and 1/2 is can be written as 5/2

5/2 cups of soda for every 2/5 cup of pineapple juice

Unit rate means per 1 of something, in this case pineapple juice

5/2 per 2/5  or (5/2) / (2/5)

5/2 ÷ 2/5 = 25/4 or 6 and 1/4

Answer:

a = 150

Step-by-step explanation:

you can set up a system of equations:

let c = child ticket

let a = adult ticket

a + c = 350

2a + 1.5c = 600

the system above can be solved by substituting:

a = 350-c or

c = 350-a

if we use 'c' we get:

2a + 1.5(350-a) = 600

2a + 1.5(350) - 1.5a = 600

0.5a + 525 = 600

0.5a = 75

a = 75/0.5

a = 150

therefore, 150 + c = 350 so 'c' must equal 200

180-135=45

45/180 ×100

25%

Step-by-step explanation:

your answer is 8.9 and minus 11 by 3 means your answer is A

The presence of maximum and minimum on the quadratic functions in this problem are given as follows:

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The coefficient a determines if the quadratic function has a maximum or a minimum, as follows:

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Basketball player will need to score 46 in the next game to obtain an average of 40 after his next game.

Let,

The score in the next game = x

The total number of games = 6+1 = 7

The average score after 7 games = 40

The average score after 6 games = 39

Find the total score of 6 games:

The average of a data can be calculated using:

Average = sum of the data / total number of the data

Average = (sum of score of 6 games)/6

Substitute the value for average=39:

39=(sum of score of 6 games)/6

234=sum of score of 6 games (multiply 6 on both sides of the equation)

The sum of the scores of 6 games is 234.

Average = sum of the data / total number of the data

Average = (sum of score of 7 games)/7

Average = (sum of score of 6 games+x)/7

Substitute the value for average=40 and sum of scores of 6 games=234:

40=(234+x)/7

280=234+x (multiply 7 on both sides)

46=x (subtract 234 on both sides of the equation)

Therefore, the basketball player will need to score 46 in the next game to obtain an average of 40.

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Of the 180 students in a college course, of the 4 1 students earned an a for the course, of the students 3 earned a b for the course, and the rest of the students earned a c for the course. So, 136 students earned a C for the course.

To find the number of students who earned a C in the course, we'll follow these steps:

1. Determine the total number of students in the course.
2. Find out how many students earned an A and how many earned a B.
3. Subtract the number of A and B students from the total to find the number of C students.

We are given that there are 180 students in the course. It is also mentioned that 41 students earned an A and 3 students earned a B.

Now let's perform the calculations:

Step 1: We know that the total number of students is 180.

Step 2: We need to find the combined number of A and B students. We are given that 41 students earned an A, and 3 students earned a B. So, to find the total number of A and B students, we simply add these two numbers:

41 (A students) + 3 (B students) = 44 (A and B students)

Step 3: To find the number of C students, we subtract the total number of A and B students (44) from the total number of students (180):

180 (total students) - 44 (A and B students) = 136 (C students)

So, 136 students earned a C for the course.

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Answer:

2x - y = -5

Step-by-step explanation:

do the math equation in the calculator and you will get the right answer

Answer:

y = -2x + 6

Step-by-step explanation:

The equation is,

→ 6x + 3y = 18

Then the value of y will be,

→ 6x + 3y = 18

→ 3y = -6x + 18

→ y = (-6x + 18)/3

→ [ y = -2x + 6 ]

Hence, value of y is -2x + 6.

Answer: 5

Step-by-step explanation:

The solution to the equation 3 = -4g - 53 is g = -14. By adding 53 to both sides, we eliminated the constant term on the right side, resulting in 56 = -4g. Finally, by dividing both sides by -4, we found that g = -14.

The equation 3 = -4g - 53 can be solved to find the value of g.

To begin, let's isolate the variable g by performing the necessary operations step by step.

First, let's add 53 to both sides of the equation to eliminate the constant term on the right side:

3 + 53 = -4g - 53 + 53

This simplifies to:

56 = -4g

Next, we can divide both sides of the equation by -4 to solve for g:

56 / -4 = (-4g) / -4

This gives us:

-14 = g

Therefore, the solution to the equation 3 = -4g - 53 is g = -14.

In the supporting explanation, we performed the necessary steps to isolate the variable g in the equation 3 = -4g - 53. By adding 53 to both sides, we eliminated the constant term on the right side, resulting in 56 = -4g. Finally, by dividing both sides by -4, we found that g = -14.

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Answer: 39 hot dogs

M= 3 + half of C , E= 2 × M , C= 12

Step-by-step explanation:

M= 3 + (half of C=12÷2) 6= 9

E=2×9=18

total= 12 + 9 + 18= 39