what are each of these functions

Answer:

Step-by-step explanation:

Let x be the number of adult tickets Travis bought, and y be the number of children tickets he bought.

We know that Travis bought a total of 14 tickets, so x + y = 14.

We also know that the total cost of the tickets was $54, so 5x + 3y = 54.

We can use the first equation to solve for y in terms of x: y = 14 - x.

Substituting this into the second equation, we get:

5x + 3(14 - x) = 54

Simplifying and solving for x, we get:

5x + 42 - 3x = 54

2x + 42 = 54

2x = 12

x = 6

Therefore, Travis bought 6 adult tickets and 14 - 6 = 8 children tickets.

to find maximum wage of number equality of boy adult and child.

I mean: 48 = 6.8

12 person from here

2 person remain

6 $ remain as well

6 = 2 child ticket

so the answer is 6

Answer:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = the balance after t years

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this problem, P = $6,500, r = 0.084, n = 12 (monthly compounding), and t = 12. Plugging in these values, we get:

A = $6,500(1 + 0.084/12)^(12*12)

A = $6,500(1.007)^144

A = $6,500(2.008)

A = $13,052.20

Therefore, the balance after 12 years is $13,052.20 when the interest is compounded monthly.

The events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

The events are dependent since the probability of selecting a number on the second draw will depend on what number was selected on the first draw.

Total possible outcome = 20

numbers less than 6 = 5

probability of both selected are less than 6 = 5/20 × 4/19

probability of both selected are less than 6 = 1/19

1/19 in percentage = 1/19 × 100 = 5.3%.

Therefore, the events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%.

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The probability that a 6 is obtained on at least one of the rolls is 67%.

The probability of getting a 6 on one roll of a fair die is 1/6. The probability of not getting a 6 on one roll is 5/6.

Let's use the complementary probability approach to calculate the probability of getting no 6 on any of the 5 rolls. The probability of not getting a 6 on one roll is 5/6, so the probability of not getting a 6 on all 5 rolls is (5/6)^5 ≈ 0.327.

Therefore, the probability of getting at least one 6 on 5 rolls is 1 - 0.327 ≈ 0.673.

So the probability of getting at least one 6 on 5 rolls of a fair die is approximately 0.673, or 67.3% when rounded to three decimal places. This means that if you roll a fair die 5 times, you have about a 67% chance of getting at least one 6.

Correct Question :

A fair die is rolled 5 times. What is the probability that a 6 is obtained on at least one of the rolls? Round your answer to three decimal places.

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Answer:

Each term has five more than the previous term

Step-by-step explanation:

The difference in each term is 5.

12 + 5 = 17

17 + 5 = 22

22 + 5 = 27

And so on. Thus, each term has five more than the one before it. 17 has 5 more than 12.

Eagles; they have a larger mean value of about 22 points. Therefore, option C is the correct answer.

The best measure of center to compare the team records for the season would be the mean value, as it takes into account all the points earned in each game and provides an average value.

In this case, the Eagles have a larger mean value of about 22 points compared to the Falcons, who have a mean value of about 20.9 points. Therefore, the Eagles had the best overall record for the season.

Therefore, option C is the correct answer.

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4,516,932,420 committees can be formed if each committee must have 4 republicans and 3 democrats

We have,

Republicans= 55

Democrats = 44

Independent= 1

Using Combination, the number of committees can be formed

= C(55, 4) / C(44, 3)

= 55! / 4! (55-4)! ÷ 44!/ 3! (44-3)!

= 55! / 4! 51! x 44! / 3! 41!

= 55 x 54 x 53 x 52 x 44 x 43 x 42/ 4 x 3 x 2 x 3 x 2

= 650,438,268,480 / 144

= 4,516,932,420

Thus, there are 4,516,932,420 committees can be formed.

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x = 1/2 × 68

  = 34

That's the rule just its half also y is the same thing while x and y are looking at the same arc

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Answer:

Step-by-step explanation

The tens place is what we have to compare to determine the greater of the given numbers -7295 and 7259

To determine which number, 7259 or -7295, is greater, we can compare their place values starting with their leftmost digit.

7295 and 7259 have sevens in the thousands place; 7259 also has one; however, when we compare the next digit -7295 has twos while 7259 only has one in its hundreds place.

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Using the information provided, no triangle will be formed.

This is shown by, summing the angles

The number of triangles to be formed considering the given angles is achieved knowing the basic properties of triangle which is:

With this knowledge, we sum the angles of the triangle

= 112 + 54 + 16

= 182

No triangle is formed as the sum is not equal to 180 degrees

If the angles are summed to 180 degrees, this is a criterion of formation of unlimited number of triangle

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The system of equations have infinite solution.

We have to given that;

The system of equations are,

⇒ y = 1/2 x +3

⇒ 2y = x +6

Here, Equation (i);

⇒ y = 1/2 x +3

⇒ 2y = x + 6

Which is same as (ii).

Now, We can draw system of equations we can see that both line are coincide.

Hence, The system of equations have infinite solution.

Thus, The system of equations have infinite solution.

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The curved length DE of the given triangle is calculated as: 15.75

Pythagoras Theorem is defined as the way in which you whereby you can find the missing length of a right angled triangle.

The triangle has three sides, namely the hypotenuse (which is always the longest side), Opposite side (which doesn't touch the hypotenuse) and finally, the adjacent side (which is located between the opposite and the hypotenuse).

Pythagoras is in the form of; a² + b² = c²

Applying the Pythagoras theorem to triangle ABC gives:

AB = √(12² + 9²)

AB = √225

AB = 15

We are told that DE is 5% longer than AB. Thus:

DE = 1.05 * 15

DE = 15.75

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The probability of choosing a blue marble, then a red marble is 0.222

From the question, we have the following parameters that can be used in our computation:

Red = 3 marbles

Blue = 6 marbles

If the marbles were replaced, then we have

P(Blue) = 6/9

P(Red) = 3/9

So, we have

The probability of choosing a blue marble, then a red marble is

P = 6/9 * 3/9

Evaluate

P = 0.222

Hence, the probability of choosing a blue marble, then a red marble is 0.222

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Answer:

The answer should be B. :3

Step-by-step explanation:

The discounted cost for an entire year of service with cell-to-cell would be = $450

The fixed rate for cell-to-cell services for a month = $50

Therefore the cost for a year would be = 50×12 = $600

The percentage of discount on the coupon = 25%of cost Price.

That is 25% of 600

= 25/100 × 600/1

= 25×6

= $150

Therefore, the discounted cost for an entire year of service with cell-to-cell would be = 600-150=$450

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The maximum weight of clothes that can be shipped in the box without exceeding the weight limit for shipping is 47 pounds.

To determine the maximum weight of clothes that can be shipped in the box, we first need to know the weight limit for shipping. This will vary depending on the shipping method and destination. Let's assume that the weight limit for shipping is 50 pounds.

We subtract the weight of the empty box from the weight limit for shipping: 50 pounds - 3 pounds = 47 pounds.

It is always a good idea to check the specific weight limit for the shipping method and destination before packing and shipping any items to avoid any issues or additional fees.

The complete question is:

What is the maximum weight of clothes that can be shipped in the box without exceeding the weight limit for shipping?

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Answer:

  12.29 cm

Step-by-step explanation:

You want the side adjacent to the 35° angle in a right triangle with hypotenuse 15 cm.

The trig relation of interest is ...

  Cos = Adjacent/Hypotenuse

  cos(35°) = x/(15 cm)

Multiplying by 15 cm gives ...

  x = (15 cm)·cos(35°)

  x ≈ 12.29 cm

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Answer: look it up-

Step-by-step explanation:

Answer:

A prism is a three-dimensional shape with two congruent and parallel polygonal bases connected by parallelogram-shaped sides. The base shape can vary, so a prism can have rectangular, triangular, or other polygonal bases. When you search up a prism on the Internet, the first result that appears is a rectangular prism. We cannot provide much help without further elaboration, as all of the answers are types of prisms.

Answer:

Prisms can be both triangle and rectangle. if you can't circle or choose 2 answers then you should've been given a picture. hope it helps

The probability that you will come out ahead is 16.9%.

The probability of winning a single bet on red is 18/38 because there are 18 red squares out of a total of 38 squares (18 red, 18 black, and 2 green).

The probability of losing a single bet on red is 20/38 because there are 20 non-red squares out of a total of 38 squares.

The expected value of a single bet on red is:

(18/38) x 1 + (20/38) x (-1) = -0.0526

This means that for every $1 bet on red, you can expect to lose about 5.3 cents on average.

Now, if you play 30 times, betting $1 on red each time, the total amount you bet will be $30. The expected value of your total winnings will be:

-0.0526 x 30 = -$1.58

This means that, on average, you can expect to lose about $1.58 if you play 30 times and bet $1 on red each time.

The probability of coming out ahead after 30 bets is the probability of winning more than $30 - $1.58 = $28.42.

To calculate this probability, we need to use the binomial distribution with n=30 and p=18/38. Let X be the number of times you win:

P(X > 30 - 1.58) = P(X > 28.42)

Using a binomial distribution calculator, we find that this probability is approximately 0.169 or 16.9%.

Therefore, the probability of coming out ahead after 30 bets of $1 on red is about 16.9%.

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The null hypothesis is that there is no significant difference between the mean blood pressure of rats with high capacity for exercise and rats with low capacity for exercise. The alternative hypothesis is that rats with low capacity for exercise tend to have a higher blood pressure than rats with high capacity for exercise.

This is the preferred alternative hypothesis for this kind of test because it is a one-tailed test with a directional hypothesis, indicating that we are specifically interested in whether the mean blood pressure of low-capacity rats is higher than that of high-capacity rats.

Therefore, the null hypothesis can be written as H0: μhc = μlc, and the alternative hypothesis can be written as Ha: μlc > μhc.

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The predicted number of people from a size of n who choose apples as their favorite fruit is equal to (8n)/15.

Total number of people surveyed = 15

Total number of people chose apple as their favorite fruit = 8

Based on the survey results,

8 out of 15 people chose apples as their favorite fruit.

Let us consider x be the number of people who chose apples in the original survey

And n be the size of the new group we want to make a prediction for.

To predict how many people out of a different group would choose apples as their favorite fruit, use the proportion.

⇒ 8/15 = x/n

To solve for x, we can cross-multiply and simplify,

⇒ 8n = 15x

⇒ x = (8n)/15

Therefore, predicted number of people will choose apples as their favorite fruit is approximately equal to (8n)/15 .

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Answer:

A.

1. 16=(1+3)²

2. 25=(2+3)²

3. 36=(3+3)²

4. 49=(4+3)²

Un = (n +3)²

64=(5+3)²

B.

2^3,3^3,4^3,5^3,so the next one is 6^3, which is 216.

Answer:

5/16 with bar notation is written as 0.3125, where the bar is placed over the digit "5" to indicate that it repeats infinitely. This notation is used to represent a repeating decimal, where the digit or group of digits after the bar repeats infinitely without terminating. In this case, the digit "5" repeats infinitely after the decimal point.

Answer:

The bar notation is used to indicate that a digit or a sequence of digits repeats indefinitely. To express 5/16 with a bar notation, we need to find the decimal equivalent of 5/16 and identify any repeating digits.

To convert 5/16 to a decimal, we can perform the division as follows:

0.3125

The decimal equivalent of 5/16 is 0.3125. Since there are no repeating digits, we cannot express it with a bar notation.

The height of the tower after adding 1 more box to it is 144 cm.

The current height of the tower can be determined using division, addition, and multiplication.

Division, addition, and multiplication are three of the four basic mathematical operations, including subtraction.

The number of identical cube-shaped boxes stacked = 8 boxes

The height of the 8 boxes = 128 cm

The height of each of the 8 boxes = 16 cm (128 ÷ 8)

The number of the additional box added to the tower = 1

The current number of boxes = 9 (8 + 1)

The total height after adding the additional box = 144 cm (9 x 16)

Thus, after adding 1 more box, Ella's tower has a height of 144 cm.

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Answer:

.

Step-by-step explanation:

.

Answer:

3

Step-by-step explanation:

Answer:

This gives you 1000 pounds. So, a piano grand that weighs 0.5 ton has a weight of 1000 pounds.

Step-by-step explanation:

Answer:

a ton is 2,000 lbs so 0.5 tons would be 1,000 lbs

Step-by-step explanation:

and rn i need a comically large pianoto fall on top of my head :D

The probability of randomly selecting an applicant who is on drugs is 71% under the given condition that  test has a 2% false positive rate and 1% false negative rate and suppose 5% of all applicants are using illegal drugs.

Let us consider  the probability of a person on drugs as P(D) = 0.05.
The probability of a person not on drugs is P(¬D) = 0.95.
The probability of a positive test result given that the person is on drugs is P(T|D) = 1 - False Negative Rate = 0.99.
The probability of a positive test result given that the person is not on drugs is P(T|¬D) = False Positive Rate = 0.02.

Applying Bayes' theorem, we can evaluate the probability that a randomly selected applicant is on drugs
P(D|T) = (P(T|D) × P(D)) / (P(T|D) × P(D) + P(T|¬D) × P(¬D))
= (0.99 × 0.05) / (0.99 × 0.05 + 0.02 × 0.95)
≈ 0.71
Converting into percentage
= 0.71 × 100
= 71%

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