plz help me out!!!!!!!!!

1) The event is considered as rare.

2) It is called a rare event event because the probability is less than 5% and is well below threshold.

1) The probability of winning the grand prize is 0.005, which means there is a 0.5% chance of winning the prize.

Since this probability is low, Michele winning the grand prize is considered a rare event.

The term "rare event" is often used to describe an event with a low probability of occurrence.

A rare event typically has a probability of less than 5%, and in this case, the probability is well below that threshold. A probability of less than 0.05 is generally considered a rare event.

The fact that Michele won the grand prize means that she defied the odds, which makes the event rare.

Learn more about probability.

brainly.com/question/30034780

#SPJ11

Answer:

Option b:  (-0.3, -7)

Step-by-step explanation:

If we have two points v = (x₁, y₁) and w = (x₂, y₂)

The vector that connects these two points and starts in point v, is written as:

vector = w - v = (x₁, y₁) -  (x₂, y₂) = (x₂ - x₁, y₂ - y₁)

In this case, we want to find the vector that goes from (-3.7,2) to (-4, -5).

Then we will have:

vector =  (-4, -5) -  (-3.7,2)  = (-4 - (-3.7), -5 - 2)

vector = (-0.3, -7)

Then the correct option is b.

Answer:

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8

Answer:

 R=.2,P=.25, G=.55

Step-by-step explanation:

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

B .The value of f(x) is increasing for each unit decrease in x  about the graph is correct.

What is the graph of exponential function?

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines

Exponential function f(x) is given

According to given graph, The value of f(x) is increasing for each unit decrease in x

Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.

To know more about graph of exponential function visit,

https://brainly.com/question/28161043

#SPJ1

random_numbers = np.random.normal(3, 1.2, 100000); average, std_dev = np.mean(random_numbers), np.std(random_numbers); plt.hist(random_numbers, bins=np.arange(-0.6, 6.7, 0.05), range=(-0.6, 6.6), edgecolor='black'); plt.show()

Python code that generates 100,000 random numbers with a normal distribution, computes their average and standard deviation, and plots a histogram:

import numpy as np

import matplotlib.pyplot as plt

# Set the random seed for reproducibility

np.random.seed(0)

# Generate 100,000 random numbers with normal distribution

average = 3

std_dev = 1.2

num_samples = 100000

random_numbers = np.random.normal(average, std_dev, num_samples)

# Compute the average and standard deviation of the random numbers

computed_average = np.mean(random_numbers)

computed_std_dev = np.std(random_numbers)

# Plot the histogram

bins = np.arange(-0.6, 6.7, 0.05)

plt.hist(random_numbers, bins=bins, range=(-0.6, 6.6), edgecolor='black')

plt.xlabel('Values')

plt.ylabel('Frequency')

plt.title('Histogram of Random Numbers')

plt.grid(True)

plt.show()

# Print the computed average and standard deviation

print('Computed Average:', computed_average)

print('Computed Standard Deviation:', computed_std_dev)

Make sure you have the NumPy and Matplotlib libraries installed in your Python environment before running this code. The resulting histogram will show the distribution of the generated random numbers, and the printed values will display the computed average and standard deviation.

Learn more about Python code

brainly.com/question/30427047

#SPJ11

Answer:

Hello!

After reading your question I have calculated the correct answer to be:

47.22

Step-by-step explanation:

The way I solved this equation was I first split the equation into two parts.

I took the two whole numbers, being "34" and "12", and made their own equation:

"34+12=?"

And then I took the two partial numbers "0.98" and "0.24" and made their own equation:

"0.98+0.24=?"

I then solved both equations:

"34+12= 46"

"0.98+0.24= 1.22"

And added those two solutions together to come up with the final solution:

"46+1.22= 47.22"

Hope this helped!

Answer:

47.22 is the answer

Step-by-step explanation:

hope it helps you

At x = 1, the coordinates are (1, 4)

They represent the proportionality of 1 teaspoon of cumin and 4 teaspoons of chili powder.

The graph is proportional because as x increases, y al

Answer:24

Step-by-step explanation:

9+((1 divided by 2)x30)

Answer:

15.6, 1.65, 1.56, .56

Step-by-step explanation:

it is just greatest to least

Answer:

G. 0.08

Step-by-step explanation:

It is actually 0.8 but putting a zero before 8 is fine.

0.0008=0.8

0.8000=X

Answer:

The two triangles are related by   hypotenuse leg  

so the triangles are   congruent    

======================================================

Explanation:

The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.

The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.

Based on those tickmarks, and the fact we have right triangles, we can use the hypotenuse leg theorem to prove the triangles are congruent.

The hypotenuse leg theorem only works for right triangles.

Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".

Answer:

8

Step-by-step explanation:

8x3 = 24

24 + 4 = 28

Answer:

you have it right, its 60. since all sides are equal, then all angles must be equal. triangles are 180, so 180 divided by 3= 60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is an equilateral triangle. An equilateral triangle has three equal sides and angles. It will always have angles of 60° in each corner.

Answer:

a) (2,4)

Step-by-step explanation:

it's where the points meet

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

Learn more about circle here

brainly.com/question/11878555

#SPJ4

Answer:

C.{{1, 5.72), (2, 5.50), (3,5.25}}

When a distribution is shown as a symmetrical bell-shaped curve then the mean, median, and mode are equal i.e., option (a) is correct.

A symmetrical bell-shaped curve, also known as a normal distribution or Gaussian distribution, is characterized by its symmetry around the mean.

In this type of distribution, the mean, median, and mode all coincide at the center of the curve.

This means that the central tendency measures, such as the mean (average), median (middle value), and mode (most frequent value), are all equal.

Option (a) states that the mean, median, and mode are equal, which aligns with the properties of a symmetrical bell-shaped curve. This equality occurs because the data is evenly distributed on both sides of the mean, resulting in a balanced distribution.

Options (b) and (d) suggest that the mean is either less than or greater than the median and mode, which does not hold true for a symmetrical distribution.

In a symmetrical distribution, the mean is located at the center of the data, and the median and mode share the same value as the mean.

Option (c) mentions moderate uniformity, but a symmetrical bell-shaped curve does not specifically indicate uniformity. Uniformity refers to a distribution where all data points have equal probability, resulting in a flat line.

In contrast, a symmetrical bell-shaped curve indicates a normal distribution with the majority of data concentrated around the mean, gradually decreasing towards the tails.

Therefore, based on the given options, option (a) is the correct conclusion when the distribution is shown as a symmetrical bell-shaped curve.

Learn more about Gaussian distribution here:

https://brainly.com/question/29734279

#SPJ11

Answer:

Step-by-step explanation:

a. The equation of the line that describes the relationship between distance and time for Car X can be found by using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula: m = (change in y) / (change in x) = (distance traveled) / (time elapsed) = 174 miles / 3 hours = 58 miles per hour.

Since the car starts at time x = 0 and has traveled 174 miles at time x = 3, the y-intercept (b) can be found by setting x = 0 and solving for y: y = 58x + b, and y = 174 when x = 3, so b = 174 - 58(3) = -160.

Putting it all together, we get the equation: y = 58x - 160.

b. The graph that represents the relationship between distance and time for Car X is a line that passes through the point (0, -160) and has a slope of 58. This line represents the linear relationship between the distance traveled and the time elapsed for Car X.

The y-intercept of -160 represents the distance traveled when time is equal to 0. The slope of 58 represents the rate of change of the distance traveled with respect to time. This means that for every hour that passes, Car X travels 58 miles.

The minimum (break-even) sales price that the company should charge per unit of the customized TK-15 for the special order is $30. To determine the break-even sales price per unit for the special order, we need to consider the additional costs incurred for customization and the lease of special equipment.

To determine the break-even sales price per unit for the special order, we need to consider the additional costs incurred for customization and the lease of special equipment.

The unit product cost of TK-15 is $20, which includes direct materials, direct labor, and manufacturing overhead. For the special order, additional direct materials cost of $6 per unit and additional direct labor cost of $4 per unit are required. This brings the total variable cost per unit to $20 + $6 + $4 = $30.

The fixed portion of manufacturing overhead does not change with the special order and is not relevant to the calculation of the break-even sales price.

In addition to the variable cost, the company incurs a lease cost of $80,000 for the special equipment. To determine the number of units needed to cover this cost, we divide the lease cost by the contribution margin per unit ($30 - $20 = $10) to get 8,000 units.

Since the special order is for 10,000 units, the fixed lease cost is covered within this quantity, and any additional units contribute towards covering the fixed manufacturing overhead and generating profit.

Therefore, the minimum (break-even) sales price that the company should charge per unit of the customized TK-15 for this special order is $30 (iii).

Learn more about fixed manufacturing  here:

https://brainly.com/question/12967660

#SPJ11

The equations of the parabolas are: (a) (x + 5)^2 = 8(y + 6)    (b) (y - 6)^2 = 4(x - 0)

(c) (y - 0)^2 = 16(x + 1/43)   (d) (y + 6.4)^2 = 4y

(a) To find the equation of a parabola with directrix x = 4 and focus at (-6, -5), we can use the formula: (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus. In this case, the vertex is (-6, -5), and p is the distance from (-6, -5) to the directrix x = 4, which is 10 units. Plugging in the values, we get (x + 6)^2 = 8(y + 5).

(b) For a parabola with directrix y = 2 and focus at (3, 10), we use the formula: (y - k)^2 = 4p(x - h). The vertex is (3, 10), and the distance between the vertex and the directrix y = 2 is 8 units. Plugging in the values, we get (y - 10)^2 = 32(x - 3).

(c) To find the equation for a parabola with focus at (-3, 2) and directrix y = 6, we can use the formula (y - k)^2 = 4p(x - h). The vertex is the midpoint between the focus and the directrix, which is (-3, 4). The distance between the vertex and the focus (or directrix) is the value of p, which is 2 units. Plugging in the values, we get (y - 4)^2 = 16(x + 1/43).

(d) For a parabola with vertex at the origin and focus at (0, -6.4), we can use the formula (x - h)^2 = 4p(y - k). The vertex is (0, 0), and the distance between the vertex and the focus (or directrix) is the value of p, which is 6.4 units. Plugging in the values, we get (y - 0)^2 = 4(6.4)y, which simplifies to y^2 = 4(6.4)y.

Learn more about Parabola here: brainly.com/question/11911877

#SPJ11

Answer:

Step-by-step explanation:

Refer to your previous question:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

Correct choice is D

Answer:

\(n = \frac{m - 2p}{3} \\ \\ p = \frac{m - 3n}{2} \)

Step-by-step explanation:

\(1. \: m - 2p = 3n \\ 2. \: \frac{m - 2p}{3} \\ 3. \: n = m - 2p \\ \\ 1. \: m - 3n = 2p \\ 2. \: \frac{m - 3n}{2} = p \\ 3. \: p = \frac{m - 3n}{2} \)

The approximate increase in area, rounded to two decimal places, is: ΔA ≈ 61 × 3.14 ≈ 191.54 mm². The estimated change in area can be calculated using the formula for the area of a circle, A = πr^2.

When the radius increases from 30 mm to 31 mm, the new area can be found as:

A_new = π(31 mm)^2 = 961π mm^2

Similarly, the original area can be found as:

A_old = π(30 mm)^2 = 900π mm^2

The approximate increase in area can be found by subtracting the old area from the new area:

ΔA = A_new - A_old = 961π mm^2 - 900π mm^2 = 61π mm^2

Using a calculator or approximating π to 3.14, we can calculate the approximate increase in area as:

ΔA ≈ 61(3.14) mm^2 ≈ 191.54 mm^2

Therefore, the estimated change in area is approximately 191.54 mm^2.

Learn more about area  here:

https://brainly.com/question/27683633

#SPJ11

Answer:

-5 -15d

Step-by-step explanation:

-5(1 + 3d)

Distribute

-5 *1 + -5*3d

-5 -15d

Answer:

-5 - 15d

Step-by-step explanation:

-5(1 + 3d)

- 5 - 15d

I hope this helped!

To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.

To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.

First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.

Learn more about probabilities

brainly.com/question/29381779

#SPJ11

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

\(\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\\)

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

\(\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\\)

The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

To learn more about sampling plan visit:

https://brainly.com/question/18026723

#SPJ4