For the function #1, (a) find a simplified form of the difference quotient and (b) complete the following table.

The complete table using function rule y = -5x+2 is:

x        y

-2      12

0       2

2      -8

4      -18

Given:

Function rule, y = -5x+2.

We have to find the values of y by substituting different values of x.

When,

x = -2

y = -5(-2) + 2 = 10+2 = 12

x = 0

y = -5(0) + 2 = 0+2 = 2

x = 2

y = -5(2) + 2 = -10+2 = -8

x = 4

y = -5(4) + 2 = -20+2 = -18

To know more about function rule visit:

https://brainly.com/question/20527806

#SPJ13

Answer

There are 495 different combinations.

Explanation

Picking 4 books to read out of 12 books, with the order of picking unimportant is evaluated as ¹²C₄

Hope this Helps!!!

Answer:

1/4 is the answer

Step-by-step explanation:

1/4 is equal to 25% and 25% is less than 40%

Answer:

1/4 is the answer

Step-by-step explanation:

1/4 is equal to 25% and 25% is less than 40

Okay, here we have this:

We need to make the following division using an area model: 999/37

Finally we obtain that 999/37 is equal to 27, and no residue remains.

a. The teacher can expect the batteries to last at least 92.09 days  on minimum average.

b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.

What is minimum average day?

a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:

Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)

Therefore, the teacher can expect the batteries to last at least 92.09 days on average.

What is spend ?

b. The total number of batteries required for the 24 TI-84 calculators is:

24 calculators x 4 batteries per calculator = 96 batteries

The total cost of the batteries will be:

96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)

Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.

To know more about margin of error, visit:

https://brainly.com/question/29081172

#SPJ1

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

Step 1: Write expression

\(\frac{7}{10} -\frac{5}{10}\)

Step 2: Evaluate

\(\frac{2}{10}\)

Step 3: Simplify

\(\frac{1}{5}\)

Answer:

Step-by-step explanation:

The answer is two tenths it is like subtracting whole numbers but behind the decimal

Answer:

P=0.071429

Step-by-step explanation:

1) if the first member of team needed is already choosen and this is a girl, then the rest members are 4 boys and 4 girls. The rest 3 positions should be choosen from that 8 persons;

2) according to the condition 3 boys should be choosen from the rest team members, but there are 4 boys+4girls. The required probability can be written as

\(P=\frac{C^3_4}{C^3_8};\)

3) finally,

\(P=\frac{C^3_4}{C_8^3}=\frac{4*3!*5!}{8!}=\frac{1}{14}=0.07142857142857142857142857142857;\)

⇔ P=0.071429.

P.S. if it is possible, check the suggested solution in other sources.

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

For more such information on: probabilities

https://brainly.com/question/30390037

#SPJ8  

The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

Both legs are equal, which implies the triangle is a 45-45-90.

The hypotenuse of this triangle is: \(\sqrt{2}\)

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

Answer:

BC=6

Step-by-step explanation:

The perimeter is the sum of all the side lengths.

Thus, add up all the sides.

And we already know the perimeter is 64. Thus:

\((3z)+(10)+(z-1)+(2z+3)+(10)=64\)

Combine like terms and add the numbers:

\(6z+22=64\)

Subtract 22 from both sides:

\(6z=42\)

Divide by 6:

\(z=7\)

So, z is 7.

BC is z-1. Therefore:

\(BC=z-1\\BC=7-1=6\)

So, BC is 6.

Answer:

x = 45°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

Answer: 192 cm

Step-by-step explanation:

Answer:

144 square inches

Step-by-step explanation:

the perimeter of a square means that all sides are equal. 48 divided by 4 = 12

They are as equal to the sides times each other 12 x 12=144

Answer:

56°

Step-by-step explanation:

First, the measure of angle GHE is equal to DFH. This means that you can set 98-6x=63-x, which becomes 5x=35 so x=7. Substitute 7 for x and you'll get DFH =63-7, which is 56.

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

For similar question on algorithm/abstract strategy.

https://brainly.com/question/31332020  

#SPJ8

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

To know more about Originality.

https://brainly.com/question/31916017

#SPJ11

Answer:

the answer is b

Step-by-step explanation:

Answer:

The minimum sample size needed 64 monthly U.S. rental car mileages.

Step-by-step explanation:

Note: This question is not complete as all the important data are omitted. The complete question is therefore provided before answering the question as follows:

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 175 miles per month of u?

The explanation of the answer is now given as follows:

The minimum sample size needed can be calculated using the following sample size formula:

n = ((Z * S) / E)^2 ………………………… (1)

Where:

n = sample size or minimum sample size = ?

Z = Confidence interval at 95% = 1.645

S = Standard deviation = 850

E = Accepted magnitude of error = 175

Substituting all the relevant values into equation (1), we have:

n = ((1.645 * 850) / 175)^2 = (1,398.25 / 175)^2 = 7.99^2 = 63.8401, or 64.

Therefore, the minimum sample size needed 64 monthly U.S. rental car mileages.

Answer: i think its 58.9997

Step-by-step explanation:

Answer:

m= - 396.253089

Step-by-step explanation:

hope this helps

Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

Answer:

  x = 30°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

  60° +2x +60° = 180°

  2x = 60° . . . . . . . . .subtract 120° from both sides

  x = 30° . . . . . . . . . . divide by 2

_____

Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.

The equation that is equivalent to P = B + Brz is:

r = (P - B) / Bz

To see why, we can rearrange the original equation as follows:

P = B + Brz

P - B = Brz

(P - B) / Bz = r

Therefore, r = (P - B) / Bz is equivalent to P = B + Brz.

Now let's check the given options:

x = P/Br + 1/r

This equation is not equivalent to P = B + Brz.

r = (P - B) / Bz

This is the correct equation that is equivalent to P = B + Brz.

r = Bz / (P - B)

This equation is not equivalent to P = B + Brz.

B = P / (rz + 1)

This equation is not equivalent to P = B + Brz.

To know more about equation:

brainly.com/question/29657983

#SPJ1

Answer:

a

Step-by-step explanation:

27-17= 10$ 2.5 goes into 10 4 times

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

Answer:

y=-5/4x+4

Step-by-step explanation:

as long as the slope is the same and you have a different starting point the lines will be parallel.