Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.
Weight
(ounces)
Mean Mean absolute deviation
(ounces)
1, 1, 2, 2, 3
1.8
0.6
Grape
tomatoes
0.5, 1, 1.5, 2, 2
1.4 0.5
Cherry
tomatoes
Based on these data, which statement is true?
A. Grape tomatoes always weigh more than cherry tomatoes.
B. Weights of cherry tomatoes are likely to be closer to the mean.
C. The maximum weight for cherry tomatoes is greater than for
grape tomatoes.
D. Weights of grape tomatoes are likely to be closer to the mean.

Answer:

|3x + 1| + 6 < 2

|3x+1| < -4

Absolute value cannot be less than 0

No Solution for x in real numbers

Step-by-step explanation:

The probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

To determine the probability that the other child is also a girl given that one of them is a girl, we need to consider the possibilities of the gender combinations for Alice's two children.

Let's denote the gender of the first child as G (girl) and B (boy), and the gender of the second child as G' and B'.

There are four possible combinations for the gender of the two children: GG, GB, BG, and BB.

However, we are given that one of the children is a girl. This eliminates the BB combination since we know both children cannot be boys.

Thus, we are left with three possible combinations: GG, GB, and BG.

Out of these three combinations, two of them involve at least one girl: GG and GB. This means there is a 2 out of 3 chance that the other child is a girl.

Therefore, the probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Answer:

b = 2

Step-by-step explanation:

3b + 2(b - 3) = 4

--distributive property-- 2(b - 3) = 2b - 6

3b + 2b - 6 = 4

(add like terms)

5b - 6 = 4

(add 6 to both sides)

5b = 10

(divide both sides by 5 to get b alone)

b = 2

Step-by-step explanation:

This is the classic example of a linear equation.

Remember this form \(y = mx + b\)?

Y is the cost of the hotel.

m is the cost per hour of the hotel.

x is the number of hours the room is rented for.

b is the initial fee.

If we are trying to find the number of hours (x) that these two hotels cost the same (y), we would set two equations equal to each other.

\(12x + 50 = 16x + 25\)

Then we can easily solve for x (the number of hours).

Answer:

36.6 - 24 × 4 ÷ 3 =

= 36.6 -96 ÷3 =

= 36.6 - 32 =

= 4.6

The missing component in the reaction ¹⁴⁴Nd₆₀ ----> ⁴He₂ + X is ¹⁴⁰Ce₅₈ and thus b we can say that the correct solution is option

A nuclear equation is an equation in which a nucleus of a larger atom breaks into smaller nuclei or the smaller nuclei combine to form a larger nucleus. The former is known as the fission reaction and the latter is the fusion reaction.

In these reactions as well the law of conversation of mass is upheld thus the sum of the atomic mass and the sum of the atomic number is constant

Atomic mass in reactant = 144

Atomic mass in product = 4 + x

144 = 4 + x

x = 144 - 4 = 140

Atomic number in reactant = 60

Atomic mass in product = 2 + x

60 = 2 + x

x = 60 - 2 = 58

Thus, ¹⁴⁴Nd₆₀ ----> ⁴He₂ + ¹⁴⁰Ce₅₈

Learn more about Nuclear reaction:

https://brainly.com/question/27823859

#SPJ1

Step-by-step explanation:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

For similar question on amount.

https://brainly.com/question/25720319  

#SPJ8

Answer:

y = -1/3 - 6

Step-by-step explanation:

its easy

Answer:

A

Step-by-step explanation:

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps

Hope this helps!

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

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

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

To know more about "Communication" refer here:

https://brainly.com/question/30389550#

#SPJ11

The vector field f(x, y, z) = i + 2j + 3k represents a constant vector field that points in the direction of the positive x-axis with magnitude 1, positive y-axis with magnitude 2, and positive z-axis with magnitude 3.

The plot of this vector field would consist of parallel arrows pointing in the same direction, where each arrow represents the magnitude and direction of the vector at a specific point in space. The arrows would be evenly spaced and extend indefinitely in the positive x, y, and z directions. The length of the arrows would represent the magnitude of the vector, with longer arrows indicating larger magnitudes.

In summary, the plot of the vector field f(x, y, z) = i + 2j + 3k would consist of evenly spaced, parallel arrows pointing in the positive x, y, and z directions, representing a constant vector field with magnitudes 1, 2, and 3 along the respective axes.

To learn more about constant vector click here: brainly.com/question/22812507

#SPJ11

1) The roots of the equation are x = -7/3 and 5/2

And the correct options are option (A) and option (B)

2) Amber needs to draw the straight line y = 4x. And the point of intersection of both the graphs (y = 3x² and y = 4x)would give the solutions to given equation i.e., x = 1.33 and x = 0

Consider the first question,

We need to find the roots of given equation (3x + 7)(2x - 5) = 0

From above equation we can say that either 3x + 7 = 0 or 2x - 5 = 0

If 3x + 7 = 0

3x = -7

x = -7/3

And is 2x - 5 =0

2x = 5

x = 5/2

So, the roots of the equation are x = -7/3 and 5/2

Hence, the correct options are option (A) -7/3 and option (B) 5/2

Consider 2nd question,

Amber is trying to solve 3x² - 4x = 0 using graphical method.

She drew the graph of y = 3x² which is parabolic in nature.

we need to draw the straight line to solve the given equation.

If we draw the line y = 4x and then subtract it from y = 3x², then we get the original equation 3x² - 4x = 0

So, we need to draw the straight line y = 4x

Therefore, Amber needs to draw the line y = 4x the point of intersection of both the graphs would be the solutions to given equation.

i.e., x = 1.33 and x = 0

The graph is as shown below.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

1/20 of 700:  1/20•700 = 35

700 + n•35 = 1050

n•35 = 350

n = 10

In an MDP (Markov Decision Process), the following statements are true:

The optimal policy for a given state s is unique.

The problem of determining the value of a state is solved recursively by the value iteration algorithm.

The optimal policy for a given state in an MDP refers to the best course of action to take from that state in order to maximize expected rewards or outcomes. This policy is unique because, given a specific state, there is a single action or set of actions that yields the highest expected value.

The value iteration algorithm is a dynamic programming method used to determine the value of each state in an MDP. It starts with an initial estimate of the state values and then iteratively updates them until convergence. This recursive process involves considering the immediate rewards and expected future rewards obtained by transitioning from one state to another, following the optimal policy. Through this algorithm, the values of states are refined and converge to their optimal values.

The third statement, "V* (s) = 25, T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the value function V*(s) of each state in an MDP. It states that the value of a state is determined based on the transition probabilities T(s, a, s'), immediate rewards R(s, a, s'), discount factor y, and the value of the next state V*(s'). This equation allows us to compute the value of a state by considering the expected rewards and future values.

The fourth statement, "Q* (s, a) = ∑T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the action-value function Q*(s, a) in an MDP. It calculates the expected value of taking action a in state s, considering the transition probabilities, immediate rewards, discount factor, and the value of the next state. However, the specific notation given in the statement, with "2,," is incomplete or incorrect, making it an invalid equation.

In summary, the optimal policy for a given state in an MDP is unique, and the value of each state is determined recursively using the value iteration algorithm. The value function V*(s) and the action-value function Q*(s, a) play key roles in evaluating the expected rewards and future values in an MDP.

Answer:

0.0304347826

Step-by-step explanation:

Answer: 32.8571428571429 or 0.0304347826086957

Step-by-step explanation:

Hope this helped

Answer:

The unit rate is 6.5mph or 6.5 miles per hour.

Step-by-step explanation:

22.75/3.5 = 6.5

To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).

We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):

C'(x) = 6x - 1500

Now we set C'(x) = 0 and solve for x:

6x - 1500 = 0

6x = 1500

x = 250

Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.

Learn more about derivative here: brainly.com/question/32263525

#SPJ11

Answer:

1/12 for red marbles

1/12 for black marbles

Step-by-step explanation:

reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again

Answer:

a = -20/9.

Step-by-step explanation:

We can write it as

f(x) = a(x - 7)(x + 1)

When x = -2 and y = -20   (at the point(-2, -20):

-20 = a(-2 -7)(-2 + 1)

-20 = -9*-1 a

9a = -20

a = -20/9.

Answer:

last

Step-by-step explanation:

the verb infinitive shows

the most basic form of the verb without indication of when it happened

No longer narrowly pre-occupied with their own national pasts, historians are increasingly cosmopolitan (Option D) in that they often take a trans-national perspective.

Sentence completions test the skill to use the information observed in complex and incomplete sentences in order to correctly complete them.

It tests a candidate's vocabulary power and skill to follow the logic of sentences.

Now, given:

Hence, No longer narrowly pre-occupied with their own national pasts, historians are increasingly cosmopolitan (Option D) in that they often take a trans-national perspective.

To learn more about sentence completion, refer to the link: https://brainly.com/question/24328812

#SPJ4

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

Learn more about Slope:

https://brainly.com/question/3605446

#SPJ4

Answer:

11x-y

Step-by-step explanation:

11x-y

hope l helped