In which table is y a linear function of x?
X
0
1
4
5
A
8
y
0
5
96
-9
-12
X
0
1
2.
3
4
B В
y
0
7
12
15
16
x
1
0
1
M
©
у
6
8
10
12
14
х
1
1
N
3
4
5
D
32
16
у
4
8
2.

f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

For a function f:X—>Y, its inverse f^{-1}:Y—>X  admits an explicit description,

it sends each element y∈Y to the special element x∈X

such that, f(x)=y.

Hence, f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

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1.Ans:
Actual formula or equation = 300x +12200 (note: Assume "x" as years)
Highland new population = 300 x (number of years) +12200
example: it's been 2 years
300 x 2 + 12200 = 12800 is the new population

2. Ans:
Actual formula or equation= 21000 - 250x
Lowville new population= 21000 - 250 x (number of years)
example: it's been 4 years
21000 - 250 x 4 = 20000 is the new population

3. Ans: Population is equal after

12200 + 300x = 21000 - 250x

300x + 250x = 21000 - 12200 (note: put number with x on same side)

x = 8800/550

x = 16 years

4. Ans: $50 + ($30 x w) is the equation for Emma's Bank account balance
Let W be number of weeks

5. Ans: $70 + ($25 x w) is the equation for James's Bank account balance

6. Ans: W represents number of weeks
since $50 and $70 is start up money for Emma and James it is there until closing the account.

7. Ans: I do not understand this question im sorry

8. Ans: It will take Emma 9 weeks to save up enough money to buy a bicycles
$50 +($30 x 9) = $320

9.Ans: It will take James 10 weeks to save up enough money to buy a bicycles
$70 +($25x10) = #320

10.Ans: Assuming they have to escape now and not wait 9 or 10 weeks like i said in previous answer then they need to flee on foot.

11. Ans: In 5th week Emma's is left with 0 money and in 7th week James is left with 0 money

12. Ans: They should go to highland if they want to minimize their risk of getting caught.

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

Answer:

4

Step-by-step explanation:

Answer:

128°

Step-by-step explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x  = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

It is answer A without a doubt

Step-by-step explanation:

Answer:

impossible

if I am right please mark it as brainliest

The following parts can be answered by the concept of Combination.

a.  The total number of ways to award prizes is 100 x 99 x 98 = 970,200.

b. The total number of ways to award prizes in this scenario is 99 x 98 x 97 = 941,094.

c.  The total number of ways to award prizes in this scenario is 98 x 97 x 96 = 912,192.

d. The grand prize winner is a person holding ticket 8,11 or 23 is 3 x 99 x 98 = 29,178.

a) There are a total of 100 choices for the first prize, 99 choices for the second prize (since one person already won a prize), and 98 choices for the third prize (since two people already won prizes). So, the total number of ways to award prizes is 100 x 99 x 98 = 970,200.

b) If person holding the ticket 23 must get a prize, then there are only 99 choices for the first prize (since ticket 23 is already taken), 98 choices for the second prize, and 97 choices for the third prize. So, the total number of ways to award prizes in this scenario is 99 x 98 x 97 = 941,094.

c) If the person holding ticket 8 and the person holding ticket 11 must win prizes, then there are only 98 choices for the first prize (since tickets 8 and 11 are already taken), 97 choices for the second prize, and 96 choices for the third prize. So, the total number of ways to award prizes in this scenario is 98 x 97 x 96 = 912,192.

d) If the grand prize winner is a person holding ticket 8,11 or 23, then there are only 3 choices for the first prize (since only these three tickets are eligible for the grand prize), 99 choices for the second prize (since one person already won a prize and the grand prize winner is not eligible for the second prize), and 98 choices for the third prize (since two people already won prizes). So, the total number of ways to award prizes in this scenario is 3 x 99 x 98 = 29,178.

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Answer:

(t x 361) - 82 = 98

Step-by-step explanation:

product: multiplication

Decreased: subtraction

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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Answer:

Where d = number of drinks

c = 1.25d

c = $7.5

Step-by-step explanation:

David paid $1.25 per drink and purchased 6 drinks. ​Use the drop down menus to write an equation for the price, cc , of all the drinks.

c = Cost of all drinks is expressed by the equation

c = $1.25 × d

Where d = number of drinks

c = 1.25d

From the questy

d = 6 drinks

Hence,

c = 1.25 × 6

c = $7.50

Answer: The error is the number of sides, it should be 9 sides and not 25. Correct is 1 260 degrees

Step-by-step explanation:

The error is the number of sides, it should be 9 sides and not 25.

Polygon sum of interior angles formula: 180 x (n-2)

So here n = 9 (sides)

180 x (9-2)

180 x 7 = 1 260 degrees

Answer:

sum of interior angles = 180 * n - 2

n = number of sides

in this case, the shape has 9 sides so n = 9

so the correct answer should be

= 180 * (9-2)

= 180 * 7

= 1260

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

Answer:

9

Step-by-step explanation:

let the number be n then 3 times the sum of 2 and the number is

3(n + 2) = 4n - 3 ( 3 less than 4 times the number )

3n + 6 = 4n - 3 ( subtract 3n from both sides )

6 = n - 3 ( add 3 to both sides )

9 = n

That is the number is 9

Answer: inconsistent

Step-by-step explanation:

Inconsistent systems have two lines that are two independent equations that don’t overlap. Basically, if the lines are parallel, the system will always be inconsistent.

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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Answer:

1: negative 26

2: posative 9

The probability that a student is able to construct a box plot given that they passed is approximately 0.8403 or 84.03%.

To calculate the probability that a student is able to construct a box plot given that they passed, we can use Bayes' theorem:

P(Bplot = Success | Passed = Yes) = (P(Passed = Yes | Bplot = Success) x P(Bplot = Success)) / P(Passed = Yes)

We are given:

P(Bplot = Success) = 0.8

P(Bplot = Success | Passed = Yes) = 0.86

P(Bplot = Failed | Passed = Yes) = 0.65

To find P(Passed = Yes), we can use the law of total probability:

P(Passed = Yes) = P(Passed = Yes | Bplot = Success) x P(Bplot = Success) + P(Passed = Yes | Bplot = Failed) * P(Bplot = Failed)

We know:

P(Bplot = Failed) = 1 - P(Bplot = Success) = 1 - 0.8 = 0.2

Now we can substitute the values into the equation for P(Passed = Yes):

P(Passed = Yes) = (0.86 x 0.8) + (0.65 x 0.2)

= 0.688 + 0.13

= 0.818

Finally, we can substitute the values into the equation for P(Bplot = Success | Passed = Yes):

P(Bplot = Success | Passed = Yes) = (0.86 * 0.8) / 0.818

= 0.688 / 0.818

≈ 0.8403

Therefore, the probability that a student is able to construct a box plot given that they passed is approximately 0.8403 or 84.03%.

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The correct answer for a student is able to construct a box if he passed is 84%.

Given,
p(Bplot= Success) = 0.8

p(Bplot = success | passed = yes) = 0.86

p(Blot = Failed | passed = yes) = 0.65

p(Bplot = Failed) = 1-0.8

= 0.2

Use Total law of probability:

P(Passed) = p(p(Bplot = success | passed = yes) ) * p(Bplot= Success) +  p(Blot = Failed | passed = yes) * p(Bplot = Failed)

P(Passed) = 0.86*0.8 + 0.65*0.2

= 0.818

Use Bayes' theorem:

=  p(p(Bplot = success | passed = yes) ) * p(Bplot= Success) / P(Passed)

= \(\dfrac{0.86*0.8}{0.818}\)

= \(0.842\)

The correct probability is approximately is 0.842 or 84%.

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Answer:

Step-by-step explanation:

To solve this problem, we need to determine the number of ways to choose two objects of different types from the given sets.

We can start by computing the number of ways to select two objects from each of the three sets, and then add these numbers together. Since we must choose two different types, we cannot choose two objects from the same set.

The number of ways to choose two cups is:

C(5,2) = 5! / (2! * (5-2)!) = 10

The number of ways to choose two saucers is:

C(4,2) = 4! / (2! * (4-2)!) = 6

The number of ways to choose two spoons is:

C(2,2) = 1

Since we must choose two different types, we need to multiply the number of ways to choose two objects from different sets. There are three sets to choose from, so we need to choose two of them as follows:

3 choices of sets * number of ways to choose two objects from each set = 3 * (10 + 6 + 1) = 51

Therefore, there are 51 ways to buy two objects of different types from the given sets of cups, saucers, and spoons.

Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.

The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.

The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.

A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.

In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.

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Answer:

it depends upon the distance up to which distance he should suppose÷24 km

Answer:

o to 2 seconds 2 to 4 seconds

The service level is 6.6%, indicating the percentage of demand that can be met from current stock.

To calculate the service level, we need to use the service level formula, which is:

Service Level = (Demand During Lead Time + Safety Stock) / Average Demand

In this case, we are given the historical average demand, which is 6105 units with a standard deviation of 243. We are also given that the company currently has 6647 units in stock. We need to calculate the demand during the lead time and the safety stock.

Assuming the lead time is zero (i.e., we receive inventory instantly), the demand during the lead time is also zero. Therefore, the demand during lead time + safety stock = safety stock.

To calculate the safety stock, we can use the following formula:

Safety Stock = Z * Standard Deviation * Square Root of Lead Time

Where Z is the number of standard deviations from the mean that corresponds to the desired service level. For example, for a service level of 95%, Z is 1.645 (assuming a normal distribution).

Assuming a lead time of one day and a desired service level of 95%, we can calculate the safety stock as follows:

Safety Stock = 1.645 * 243 * sqrt(1) = 402.76

Substituting the values into the service level formula, we get:

Service Level = (0 + 402.76) / 6105 = 0.066 or 6.6%

Therefore, the service level is 6.6%.

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Answer:

t = (A/sx) - r

Step-by-step explanation:

Solve for t like this:

\(A = s(t+r)x\\A = sx(t+r)\\\\\frac{A}{sx} = t+r\\\frac{A}{sx} - r = t\\t= \frac{A}{sx} - r\)

Answer:

Expand the equation.

Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.

Combine like terms.

Solve the equation and simplify, if needed.

Answer: Midpoint = (11.5, 14.5)

Concept:

Here, we need to know the idea of the midpoint formula.

\(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

Solve:

Given information

(x₁. y₁) = (2, 3)

(x₂, y₂) = (11, 16)

Given expression

\(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

Substitute values into the expression

\(Midpoint=(\frac{2+11}{2}, \frac{3+16}{2} )\)

Simplify the numerator by addition

\(Midpoint=(\frac{13}{2}, \frac{19}{2} )\)

Simplify by division

\(\boxed{Midpoint=(11.5, 14.5 )}\)

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The probability of rolling a 1 on a die or rolling an even number on a die is 1/3. This is because the probability of rolling a 1 is 1/6, the probability of rolling an even number is 1/2

The probability of rolling a 1 on a die or rolling an even number on a die is P(E) = P(rolling a 1) + P(rolling an even number).

There are six possible outcomes of rolling a die: 1, 2, 3, 4, 5, or 6.

There are three even numbers: 2, 4, and 6. So, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The probability of rolling a 1 is 1/6.

Therefore, P(E) = 1/6 + 1/2 = 2/6 or 1/3.

The correct answer is P(E) = P(rolling a 1) + P(rolling an even number).

If we roll a die, then there are six possible outcomes, which are 1, 2, 3, 4, 5, and 6.

There are three even numbers, which are 2, 4, and 6, and there is only one odd number, which is 1.

Thus, the probability of rolling an even number is P(even) = 3/6 = 1/2, and the probability of rolling an odd number is P(odd) = 1/6.

The question asks for the probability of rolling a 1 or an even number. We can solve this problem by using the addition rule of probability, which states that the probability of A or B happening is the sum of the probabilities of A and B, minus the probability of both A and B happening.

We can write this as:

P(1 or even) = P(1) + P(even) - P(1 and even)

However, the probability of rolling a 1 and an even number at the same time is zero, because they are mutually exclusive events.

Therefore, P(1 and even) = 0, and we can simplify the equation as follows:P(1 or even) = P(1) + P(even) = 1/6 + 1/2 = 2/6 = 1/3

In conclusion, the probability of rolling a 1 on a die or rolling an even number on a die is 1/3. This is because the probability of rolling a 1 is 1/6, the probability of rolling an even number is 1/2, and the probability of rolling a 1 and an even number at the same time is 0. To solve this problem, we used the addition rule of probability and found that P(1 or even) = P(1) + P(even) - P(1 and even) = 1/6 + 1/2 - 0 = 1/3. Therefore, the answer is P(E) = P(rolling a 1) + P(rolling an even number).

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Answer:

$600

Step-by-step explanation:

subtract 45 from 75, you get 30. multiply 30 by 20, and there is your answer.

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7