In the relationship y=3x, if x is reduced by 1/3, how will y change? Responses It will triple.

Answer:

3

Step-by-step explanation:

The difference in the numbers of emails sent by each company is 4.19 × 10⁴.

The number of emails sent by company p = 6.1 × 10⁴

Converting scientific notation to real number

The number of emails sent by company p = 6.1 × 10000

Performing multiplication

The number of emails sent by company p = 61,000

The number of emails sent by company c = 191,00

Finding the difference using subtraction operation

Difference in number of mails = 61000 - 19100

Performing subtraction

Difference = 41,900

Converting the real number in scientific notation

Difference = 4.19 × 10⁴

Hence, the difference in the numbers of emails sent by each company is 4.19 × 10⁴.

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Using the binomial lattice model, the estimated value of the 2-month call option with an exercise price of 200 is approximately 12.8.

To estimate the value of the call option using the binomial lattice model, we can follow these steps:

1. Calculate the parameters of the model:

- Up factor (u): 1 + 4% = 1.04

- Down factor (d): 1 - 3% = 0.97

- Risk-free continuously compounded rate (r): 0.5% per month = 0.005

- Time to expiration (T): 2 months

2. Set up the binomial lattice:

Start with the current share price and calculate the possible share prices at expiration for each node in the lattice.

Assume an upward movement followed by a downward movement.

            200

          /     \

       208       194

      /   \     /   \

   216     200    186

3. Calculate the option value at expiration:

At expiration, the option value depends on the final share price compared to the exercise price:

If the final share price is greater than the exercise price, the option value is the difference between the two. If the final share price is less than or equal to the exercise price, the option value is zero.

In this case, the final share prices are 216, 200, and 186. Since the exercise price is 200, the option values at expiration are 16, 0, and 0.

4. Backward induction:

Starting from the last time step and moving backward, calculate the option value at each node by discounting the expected future value.

For each node, calculate the expected future value as the discounted average of the option values from the two nodes in the next time step.

Discount factor (df): e^(-r * T), where e is the base of the natural logarithm.

Option value at each node = (p * option value of up node + (1 - p) * option value of down node) * df

    - p: Probability of an upward movement = (e^(r * T) - d) / (u - d)

Using the formula above, calculate the option values at each node:

            200

          /     \

       12.8     0

      /   \     /   \

   0       0    0

The estimated value of the option is the option value at the starting node, which is 12.8.

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According to the given data we have the following:

Whitney earns 312 in 26 hours of work

Andrew earns 451 in 41 hours of work

Lena earns 10 per hour

In order to calculate who earns the most money per hour we would have to calculate the rate of money per hour of Whitney and Andrew and the compare it with Lena.

So, money per hour of whtiney=312/26

money per hour of whtiney=12 per hour

money per hour of Andrew=451/41

money per hour of Andrew=11 per hour

Therefore, Whitney is the person that earns most money per hour.

Answer:

80-64= 16

Step-by-step explanation:

the range is the difference between the maximum value and minimum value

Answer:

15/20    16/20    <

Step-by-step explanation:

First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.

10 procent

Step-by-step explanation:

150 / 150 = 10

Answer:10%

Step-by-step explanation:

Answer:

Is -4444444444

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

A quotient is the result of a division problem.

We must multiply -4 and -90.

-4 • -90 = 360

(There is no - because a negative multiplied by a negative equals a positive.)

Answer:

Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.

So triangle DEF is similar to triangle HEJ.

Answer:

Hey there! Therefore, your discount would be 25%.

Step-by-step explanation:

Answer:

2,4

i did it and go it right

The local maximum is (2,4)

A coordinate plane is a graphing and description system for points and lines.

By the given details,

Using the graphing calculator,

The local maximum is (2,4)

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Based on this finding, the following conclusion can be drawn:
On average, students who spent more time studying performed worse on the test.

The correlation coefficient only accounts for the relationship between the two variables and not the variance,

so we cannot say that study time accounted for 65% of the variance in test performance.

From the student question, a Pearson's correlation of -0.65 was found between the number of minutes studying for a test and test performance in a sample of 300 students.

Based on this finding, the following conclusion can be drawn:
On average, students who spent more time studying performed worse on the test.

This is because the Pearson's correlation of -0.65 indicates a moderate negative relationship between study time and test performance.

However, it's important to note that correlation does not imply causation, so we cannot conclude that spending more time studying causes students to perform more poorly.

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Answer:

5:8

Step-by-step explanation:

water - 5 points

Rice - 3 points

total (rice + water) = 8 points.

Water:Total

5:8

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

2 × pi × radius

..................

The number of colored pencils calculated in the first column is; 21

The number of colored markers marked in the second column is; 8

We are told that each box has a colored pencil to marker ratio of 7 to 2.

Thus, in the first column, we see that we have 6 colored markers. Thus;

Number of colored pencils = (6 * 7)/2 = 21 colored pencils

In the second column, we see that there are 28 colored pencils. Thus;

Number of colored markers = (28 * 2)/7 = 8

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Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

Answer:

y = \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = \(\frac{1}{2}\) x + 1 ← equation of perpendicular line

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The approximate probability that the driver will be fined is 0.25.

If the driver of a truck loaded with 900 boxes of books will be fined if the total weight of the boxes exceeds 37,350 pounds, then the weight of each box of book must not exceed 41.5 pounds.

37,350 pounds / 900 boxes = 41.5 pounds

Suppose that distribution of the weight is a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 41.5

μ = mean = 41.1

σ = standard deviation = 6

z-score = (41.5 - 41.1) / 6

z-score = (0.4) / 6

z-score = 0.06667

Find the probability that corresponds to the z-score in the z-table. (see attached images)

at z = 0.06667,     p = 0.7472

Since the fine will be given if the load exceeds 41.5, we have to consider the values greater than 41.5. Subtract the answer from 1.

probability = 1 - 0.7472 = 0.25

Hence, the approximate probability that the driver will be fined is 0.25.

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The area of the shaded region in terms of 'x' would be (25-\(x^{2}\)) square inches.

Area of a square = \(side^{2}\) square units

Side of the larger square = 5 inches

Area of the larger square = 5×5 square inches

                                          = 25 square inches

Side of smaller square = 'x' inches

Area of the smaller square = 'x'×'x' square inches

                                            = \(x^{2}\) square inches

Area of shaded region = Area of the larger square - Area of the white square

                                      = 25 - \(x^{2}\) square inches

∴ The expression for the area of the shaded region as given in the figure is (25-\(x^{2}\)) square inches

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Answer: 207 Remainder 0

Step-by-step explanation:

The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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Answer:

10

Step-by-step explanation:

You could roll a 1,2,3,4,5,6  or have 6 possibilities

There are 4 of them greater than 2 ( 3,4,5,6)

P( greater than 2 ) = possibilities greater than 2 / total = 4/6 = 2/3

Multiply this by the number of rolls

15 * 2/3 = 10

I would expect 10 rolls to have a number greater than 2

i cant see the question

Step-by-step explanation:

The minimum force that must be applied on the crate to prevent it from sliding down the 35.0-degree incline is 27.21 N.

To calculate the minimum force required, we need to consider the forces acting on the crate. The force of gravity acting on the crate can be decomposed into two components: one parallel to the incline and one perpendicular to the incline.

The perpendicular component of the gravitational force is given by mg * cos(θ), where m is the mass of the crate (3.00 kg) and θ is the angle of the incline (35.0 degrees). Thus, the perpendicular component is 3.00 kg * 9.8 m/s^2 * cos(35.0°) = 24.25 N.

The minimum force required to prevent the crate from sliding down the incline is equal to the maximum static friction force. The maximum static friction force can be calculated using the formula fs = μs * N, where μs is the coefficient of static friction (0.3) and N is the normal force acting on the crate. The normal force is equal to mg * sin(θ), which is 3.00 kg * 9.8 m/s^2 * sin(35.0°) = 16.59 N.

Therefore, the maximum static friction force is 0.3 * 16.59 N = 4.98 N.

To prevent the crate from sliding, the minimum force required must be equal to the maximum static friction force, which is 4.98 N.

To prevent the 3.00 kg crate from sliding down the 35.0-degree incline, a minimum force of 27.21 N must be applied to the crate. This force is necessary to overcome the perpendicular component of the gravitational force and match the maximum static friction force between the crate and the incline.

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The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = -log8t as the parent function p(t)-3 represents a vertical translation downward by 3 units.

a. The pH function p(t) = -log8t is a logarithmic function where t represents the concentration of hydrogen ions in a solution.

i. p(t)-3 represents a vertical translation downward by 3 units. This means that the function will shift downward by 3 units at all values of t.

This transformation does not result in a y-intercept because the y-intercept of the parent function is at (1, 0) and remains the same after this translation.

ii. p(t-3) represents a horizontal translation to the right by 3 units. This means that the function will shift to the right by 3 units at all values of t.

This transformation does not result in a y-intercept because the y-intercept of the parent function is at (1, 0) and remains the same after this translation.

iii. -3.p(t) represents a vertical stretch by a factor of 3 and a vertical reflection. This means that the function will be stretched vertically by a factor of 3 and reflected across the x-axis.

Thus, this transformation does result in a y-intercept because the y-intercept of the parent function is at (1, 0) and is multiplied by -3 to become (1, 0*(-3)) = (1, 0).

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By simplifying the decimal 0.612(12 repeatings) simplifies to the fraction 60.6/99.

To simplify the decimal 0.612(12 repeatings) to a fraction, we can represent it as follows:

Let x = 0.612(12 repeating)

Then 100x = 61.212(12 repeating)

Subtracting the two equations gives:

100x - x = 61.212(12 repeating) - 0.612(12 repeating)

99x = 60.6

x = 60.6/99

To get to this answer, we first multiplied the decimal by 100 to shift the repeating decimal point two places to the right. We then subtracted the original equation from this new equation to eliminate the repeating decimal. We simplified the resulting fraction by dividing both the numerator and denominator by their greatest common factor of 6. Thus, the final answer is 60.6/99.

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