You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?

Answer:

each shirt would cost $13≤ unit rate <$36

Step-by-step explanation:

(a) The most likely distribution of House seats  would be 96 Republicans and 64 Democrats. b) The maximum number of Republican representatives could be 16 and minimun is 0.

(a) The most likely distribution of House seats, given a population of 14 million, with 60% Republican and 40% Democrat party affiliations, and 16 representatives, would be 96 Republicans and 64 Democrats. This distribution is determined by allocating seats in proportion to the party affiliations based on the population.

(b) If the districts could be drawn without restriction (unlimited gerrymandering), the maximum and minimum number of Republican representatives who could be sent to Congress would be as follows:

The maximum number of Republican representatives could be 16, which would occur if all the districts were drawn in a way that heavily favored Republicans, resulting in each district electing a Republican representative.

The minimum number of Republican representatives could be 0, which would occur if all the districts were drawn in a way that heavily favored Democrats, resulting in each district electing a Democratic representative.

The actual distribution of House seats would depend on various factors, including the specific boundaries of the districts and the voting patterns of the population in each district.

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Answer:

Step-by-step explanation:

To determine how long it would take Anita and Chao to clean a pool together, we can use the concept of work rates.

Anita can clean a pool in 8 hours, so her work rate is 1/8 of a pool per hour.

Chao can clean a pool in 6 hours, so his work rate is 1/6 of a pool per hour.

To find their combined work rate, we add their individual work rates:

1/8 + 1/6 = 3/24 + 4/24 = 7/24

Their combined work rate is 7/24 of a pool per hour.

To determine how long it would take them to clean a pool together, we can set up the equation:

(7/24) * T = 1

Where T represents the time it takes them together to clean the pool.

To solve for T, we multiply both sides of the equation by the reciprocal of (7/24), which is (24/7):

T = (1) * (24/7) = 24/7

Therefore, it would take Anita and Chao working together approximately 24/7 hours to clean a typical pool.

The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3​-sigma  The upper control limit (UCL) is approximately 0.0450.

The upper control limit (UCL) for a 3-sigma control chart is given by:

\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)

Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:

\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)

Calculating this expression, we find:

\(\[UCL \approx 0.0450\]\)

Therefore, the upper control limit (UCL) is approximately 0.0450.

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Answer:

h(-2) = 13

h(5) = -1

Step-by-step explanation:

Given the function

h(x) = -2x + 9

Evaluating at x = -22

substitute x = -2

h(-2) = -2(-2) + 9

h(-2) = 4 + 9

h(-2) = 13

Therefore,

Evaluating at x = 5

Given the function

h(x) = -2x + 9

substitute x = 5

h(5) = -2(5) + 9

h(5) = -10 + 9

h(5) = -1

Therefore,

The approximate cost of a 30-second ad during the TV broadcast of a major sporting event in 2010 was approximately 3.4775 million dollars and the value of x in this case is 10.

Given that the cost (in millions of dollars) for a 30 second ad during the TV broadcast can be approximated by the rational expression (0.565x² - 4.097x + 26.2) / (x + 2)

To find out the cost of an ad in 2010, we need to determine the value of x that corresponds to that year. We are given that x = 6 corresponds to the year 2006.

To find the value of x for the year 2010, we can calculate the number of years that have passed since 2006 and add it to the value of x in 2006.

Number of years between 2006 and 2010 = 2010 - 2006 = 4

Adding 4 to the value of x in 2006:

x = 6 + 4 = 10

So, x = 10 corresponds to the year 2010.

Now, we can substitute x = 10 into the rational expression to find the cost of the ad:

Cost = (0.565x² - 4.097x + 26.2) / (x + 2)

Cost = (0.565(10)² - 4.097(10) + 26.2) / (10 + 2)

Calculating this expression:

Cost = (0.565 × 100 - 4.097 × 10 + 26.2) / 12

Cost = (56.5 - 40.97 + 26.2) / 12

Cost = 41.73 / 12

Cost ≈ 3.4775 million dollars

Therefore, the approximate cost of a 30-second ad during the TV broadcast of a major sporting event in 2010 was approximately 3.4775 million dollars.

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Answer:

x=sint

Differentiating w.r.t. t, we get,

dt

dx

​

=cost

y=cos2t

Differentiating w.r.t. t, we get,

dt

dy

​

=−2sin2t

Thus,  

dx

dy

​

=−

cost

2sin2t

​

dx

dy

​

=

cost

−4sintcost

​

=−4sint

Step-by-step explanation:

The probability that at least one of the stocks will rise in price is 0.92. Rounded to 2 decimal places, the answer is 0.92.

To calculate the probability that at least one of the stocks will rise in

, we can use the complement rule of probability. The complement rule of probability states that the probability of an event occurring is equal to one minus the probability of the event not occurring. Therefore, the probability of at least one stock rising in price can be found by subtracting the probability that none of the stocks will rise in price from one.

Let P(A) be the probability that a stock will rise in price and P(A') be the probability that a stock will not rise in price.

The probability that none of the stocks will rise in price is:

P(A') * P(A') * P(A') = (0.2) * (0.5) * (0.8) = 0.08

The probability that at least one of the stocks will rise in price is:

1 - 0.08 = 0.92

Therefore, the probability that at least one of the stocks will rise in price is 0.92. Rounded to 2 decimal places, the answer is 0.92.

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Answer:

The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

50° = (1/2)(162° - KM)

100° = 162° - KM

KM = 62°

The measure of ∠BAC i.e value of x is approximately 57.99 degrees or 60° in round off.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and is often used to solve problems in geometry, engineering, physics, and other fields.

We can use trigonometry to find the measure of angle BAC.

Using the Pythagorean theorem, we know that:

AB² = AC² - BC²

AB² = 33² - 26²

AB² = 625

AB = 25

Now, we can use the trigonometric ratio of sine to find the measure of angle BAC:

sin(BAC) = opposite/hypotenuse

sin(BAC) = BC/AB

sin(BAC) = 26/25

Using a calculator or a table of trigonometric values, we can find that the arcsine of 26/25 is approximately 57.99 degrees.

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the formula is a^2+b^2=c^2

A and B are the sides doesn't matter which

C is always across from the right angle

so fill x in accordingly

4^2+3^2=x^2

16+9=

25= x^2

square root both 25 and x^2

25 becomes 5

x^2 becomes x

x=5

and just apply this to the other problems

Answer:

.4

=soda,

0.5=tea

Step-by-step explanation:

Answer:

one soda costs 0.25 euros

One tea costs 0.5 euros

Step-by-step explanation:

we make a system of equations

S- soda

t- tea

2s+3t=2

5s+3t=2.75

we have to isolate a variable because I like to use substitution method best

2s+3t=2

   -3t.  -3t

2s=2-3t

/2. /2. /2

s=1-1.5t

5(1-1.5t)+3t=2.75

5-7.5t+3t=2.75

5-4.5t=2.75

-5.       -5

-4.5t=-2.25

/-4.5.  /-4.5

t=0.5

One tea is 0.5 euros

Now to find one soda we just fill it in

2s+3(0.5)=2

2s+1.5=2

  -1.5.  -1.5

2s=0.5

/2.  /2

s=0.25

One side cost 0.25 euros

Hopes this helps please mark brainliest

Answer:

5x(1-2x)

Step-by-step explanation:

Factor the given expression, 5x-10x². A factor is a number or term that divides out of another number or term evenly.

Pull out the common term "5x."

=> 5x(1-2x)

Thus, the expression has been factorized fully.

The probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%.

Assuming that the TA's arrival time follows a uniform distribution between the start time and the end time of their office hours, the probability that the student sees the TA can be calculated by finding the proportion of the distribution that falls within the 15-minute window.
Let's say the TA's office hours are from 1:00 PM to 4:00 PM. The probability that the TA arrives during the first 15 minutes (1:00 PM to 1:15 PM) is simply 15/180 or 1/12, as there are 180 minutes in the three-hour office hours. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours (i.e., up until 3:45 PM), we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
Therefore, the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours is 5/4. However, since the student gives up and goes home if the TA has not arrived in 15 minutes, we need to adjust this probability downwards.
The probability that the TA arrives during the first 15-minute interval (1:00 PM to 1:15 PM) and the student is still there to see them is simply 1/12, as calculated earlier. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) and the student is still there to see them is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours and the student is still there to see them, we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
But since the student gives up and goes home if the TA has not arrived within the first 15 minutes, we need to subtract the probability that the TA arrives during the first 15 minutes from this total:
5/4 - 1/12 = 53/48 or approximately 1.104
Therefore, the probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%. This is because the student gives up and goes home if the TA has not arrived within the first 15 minutes, which means that the TA is guaranteed to arrive before the 15-minute deadline.

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Answer:

Step-by-step explanation:

123 X 8000 = 984000

984000/48 = 20500(PUT EURO SIGN)

The probability that none of 200 women using the pill will become pregnant is found to be 0.002.

Given: Assume a birth control pill has a 97% success rate in avoiding pregnancies.

Probability that none of 200 women using the pill will become pregnant is given as

= 0.97(200)

=0.0023

=0.002

Therefore, probability that none of 200 women using the pill will become pregnant is found to be 0.002.

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Answer:

Number = 12

Step-by-step explanation:

2n-7=n+5 (+7 to both sides)

2n=n+12 (-n to both sides)

n=12

Mr. Simon can serve 26 people with 20 containers of soup.

Given that: Mr.Simon has 20 containers of soup. 3 containers of soup feeds 4 people.

Frst, we need to know how many people can be fed by one container of soup.

We are given that 3 containers of soup can feed 4 people.

Hence, we can calculate how many people one container of soup can feed by dividing 4 people by 3 containers

One person ⇒  4/3

Next, we multiply the number of people per container by the total number of containers, which is 20 in this case.

This gives us:

= 20 × (4/3)

= 80/3

= 26.667

≈ 26

Mr. Simon can feed 80/3 people with 20 containers of soup. However, since we cannot serve a fractional part of a person, we should round the answer to a whole number. In this case, rounding down gives us 26.

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FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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Answer:

53.931339977852% (you can round)

Step-by-step explanation:

You add up 48,700 and 41,600 and you would get 90,300 as the overall population. Then you would put it in fraction form if you want to convert it into a percentage. The fraction form would be 48,700/90,300. You could simplify it to 487/903. Then you do  487            x      . You would cross multiply and get

                                              ___    =    ___

                                              903           100

903x = 48700. Then you would divide each side by 903 and get x = 53.931339977852% (you can round)

Answer:

Approximately 53.9%

To be exact, answer is 48700/903

Step-by-step explanation:

Percentage of men = Men ➗ Total population

48700 + 41600 = 90300

48700/90300 is approximately 0.539

0.539 * 100 = 53.9

Answer:

this is graph

Step-by-step explanation:

you can search on any website

Answer:

1/8 or .125

Step-by-step explanation:

Because they fall under the same denominator just subtract the numerator.

6/8 - 5/8 = 1/8

Answer:

y=2x+7

Step-by-step explanation:

y=mx+b is the formula

y=(2) × x+b

y= (2)×(3)+b

y=(2)×(3)+b

b=7

Equation: y=2x+7

Answer:

Equation:  \(\frac{7}{3}t + \frac{5}{2}t = 87\)

Hours: 18

Step by Step:

(7/3)t + (5/2)t = 87

(14/6)t + (15/6)t = 87

(29/6)t = 87

29t=522

t=28

The statement "The control limits represent the range between which all points are expected to fall if the process is in statistical control" is True.

Control limits play a crucial role in statistical process control (SPC) by delineating the range within which all data points are anticipated to fall if the process operates under statistical control.

These limits, usually set at a certain number of standard deviations from the process mean, aid in assessing whether a process exhibits statistical control. The commonly employed control limits are ±3 standard deviations, which encompass approximately 99.7% of the data when the process adheres to a normal distribution and maintains statistical stability.

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Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

The minimum number of sets of knives Gabriel should buy will be 10sets.

A chef's knife, a paring knife, and a serrated knife are the only three knives that are essential in a kitchen. Any more knives are a luxury; while they can facilitate cooking and enhance the experience, they are not required.

Given the least number of knives needed = 587 knives

Amount currently available on ground = 387knives

The remaining amount of knives needed = 587 - 387

The remaining amount of knives needed = 200 knives

If each set on sale contains 20 knives, the number of sets Isabella will need will be:

The number of sets of knives=200/20 =10

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

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Answer:

1. 12  2. 12  3.1/8    4. 11  5. -15   6.-60   7.20  8.225

Step-by-step explanation:

Given that :

m=2 and n=16 , p = {1-6 =-5}  then;

1.  m+10 = 2+10 = 12

2. n-4 = 16-4 = 12

3. m / n = 2/16 = 1/8

4. 6m - 1 = 6*2 - 1 = 12 -1 = 11

5. 3p =3* -5 = -15

6.12 p = 12* -5 = -60

7. 12m-4 = 12*2 - 4 = 24 -4 =20

8. 9p² = 9*-5² = 9 * 25 = 225

Answer:

12:5

Step-by-step explanation: