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2 months ago

Guest #2392549

2 months ago

**Answer:**

False.

Researcher has taken the temperature as independent variable and latitude as the dependent variable which is wrong. Temperature depends on latitude. So it should be taken as dependent variable and the latitude as independent variable.

Question

two fifths of one less than a number is less than three fifths of one more than that number. what numbers are in solution set of this problema. x<-5b. x>-5c. x>-1d. x<-1

Solution 1

The best way to solve this is to do this step by step.

Let x = the number

Identify the word problem of the inequality.

Two fifths of one less than a number

= 2/5 (x-1)

Three fifths of one more than that number

= 3/5 (x+1)

Solve the inequality

2/5 (x-1) < 3/5 (x+1)

2x/5 - 2/5 < 3x/5 +3/5

-2/5 -3/5 < 3x/5 - 2x/5

-1< x/5

-5 < x

or

x > -5

The final solution set is B. x > -5

Let x = the number

Identify the word problem of the inequality.

Two fifths of one less than a number

= 2/5 (x-1)

Three fifths of one more than that number

= 3/5 (x+1)

Solve the inequality

2/5 (x-1) < 3/5 (x+1)

2x/5 - 2/5 < 3x/5 +3/5

-2/5 -3/5 < 3x/5 - 2x/5

-1< x/5

-5 < x

or

x > -5

The final solution set is B. x > -5

Question

The equation of line ab is (y−3) = 5 (x − 4). what is the slope of a line perpendicular to line ab?

Solution 1

Converse y-3=5(x-4) to y=5x -17

The slope of a lin perpendicular to line ab is also 5

The slope of a lin perpendicular to line ab is also 5

Question

Avril invested 60,000 in a partnership with Lane, Jules, Ray, Ravi, and Petra. The total investment of all partners was $320,000. What percent of the business does avril own?

Solution 1

**Answer:**

**Step-by-step explanation:**

**Concept Used: Percentage: **

Question

Korey is planning to open a comic book store. When the store opens, he plans to be the only employee. As the business grows, he will extend his hours of operations and hire additional employees as necessary. In Korey’s business plan, this information should be included in the _____ component.
a.
financial analysis
b.
organizational plan
c.
executive summary
d.
implementation plan

Solution 1

**Answer:**

In Korey’s business plan, this information should be included in the 'organizational plan' component.

**Step-by-step explanation:**

*Scenario:*

*As Korey is planning to *

*open a comic book store.**When the store opens, he plans to be the only employee.**As the business grows, he will extend his hours of operations and hire additional employees as necessary.*

In Korey’s business plan, this information should be included in the 'organizational plan' component.

- An Organizational Plan is generally a “to do” list for any certain organization.

- An Organizational Plan lists out the plan of a certain program or work, and organizational growth spanning a period of time - 6 months, a year, two or five.

- The tasks involved, who is going to be responsible for them, and at what time they would be completed or done.

Therefore, based on the scenario of Korey as mentioned above, in his business plan, this information should be included in the 'organizational plan' component.

**Keywords:** organizational plan, organization

Learn more about organizational plan from brainly.com/question/10064911

#learnwithBrainly

Solution 2

**Answer:**

b.

organizational plan

**Step-by-step explanation:**

Question

To test an herbal treatment for depression, 100 volunteers who suffered from mild depression were randomly divided into two groups. Each person was given a month's supply of tea bags. For one group, the tea contained the herb mixed with spice tea, whereas for the other group, the bags contained only the spice tea. Participants were not told which type of tea they had, and were asked to drink one cup of tea per day for a month. At the end of the month, a psychologist evaluated them to determine if their mood had improved. The psychologist did not know which of the subjects had the tea with the herbal ingredient added. Which is true regarding this study?
This study is an observational study.
This study is double-blind.
The "only spice tea" group serves as the control group.
All of the above are true.
Both (B) and (C) are true.

Solution 1

**Answer:**

Both (b) and (C) are true.

This study is double blind and the "only spice tea" group serves as the control group.

Question

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 19% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 63 of the dragon eggs to incubate. Consider all the possible samples of 63 dragon eggs. What is the mean number of yellow eggs in samples of 63 eggs? (that is the same as asking for the expected value of the number of yellow eggs)

Solution 1

**Answer:**

12

**Step-by-step explanation:**

Since 19% of the eggs are yellow,

then 19% of 63 = 11.97

Since eggs have no fractions, then the mean number of expected yellow eggs is 12.

Question

A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the tortoise have a 580-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second. Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race. f ( t ) = 1200-5t +580 Incorrect Solve f ( t ) = 0 for t . t = Incorrect Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race. g ( t ) = Incorrect Solve g ( t ) = 0 for t . t = Incorrect Who won the race? Incorrect

Solution 1

Answer:

Step-by-step explanation:

The total distance to be covered in the race is 1200 meters.

Distance = speed × time

The arrogant hare decides to let the tortoise have a 580-meter head start. The tortoise begins crawling at a constant speed of 5 meters per second when the start gun is fired.

If t represents the number of seconds since the start of the race, then the distance covered by the tortoise is 580 + 5t

Therefore, the function f, used to represent the tortoise's distance from the finish line (in meters) would be

f(t) = 1200 - (580 + 5t)

f(t) = 1200 - 580 - 5t

f(t) = 620 - 5t

For f(t) = 0,

620 - 5t = 0

5t = 620

t = 125 seconds

When the start gun is fired the hare begins running at a constant speed of 9 meters per second. The function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race would be

g(t) = 1200 - 9t

If g(t) = 0, then

1200 - 9t = 0

9t = 1200

t = 1200/9 = 133.33 seconds

The tortoise won the race.

Question

What is the absolute value of -4-√2i

Solution 1

For x +iy absolute value = √(x² + y²)

Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2

Absolute value = √( (-4)² + (-√2)²),

(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2

= √( (-4)² + (-√2)²)

= √(16 + 4) = √20

√20 = √(4*5) = √4 * √5 = 2√5

Absolute value = 2√5

Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2

Absolute value = √( (-4)² + (-√2)²),

(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2

= √( (-4)² + (-√2)²)

= √(16 + 4) = √20

√20 = √(4*5) = √4 * √5 = 2√5

Absolute value = 2√5

Question

Remember state space refers to the space of all potential possibilities. Which dichotomous questions below will successfully narrow down the entire state space of "flipping a coin and rolling a normal six-sided die" to just 1 outcome? 1. Did the coin land on heads?
2. Is the value on the die odd?
3. Is the value on the die more than 3?
4. Does the value on die equal 1, 2, 5, or 6?

Solution 1

**Answer:**

The correct answers to the question are

1. Did the coin land on heads?

2. Is the value on the die odd?

3. Is the value on the die more than 3?

4. Does the value on die equal 1, 2, 5, or 6?

**Step-by-step explanation:**

A dichotomous question is one that has only two possible responses or answers such as Yes or No, Agree or Disagree. Dichotomous question are used to obtain distinctively clear responses in a survey. It limits respondents by providing them with the available choices to choose from

A variable is said to be dichotomous if it has only one two states or categories, for example either male or female or for a coin, either head or tail

State Space

In mathematics a state space is a model of a system related to both the inputs and the outputs of the system

Solution

As such the dichotomous questions to narrow down the entire state space of "flipping a coin and rolling a normal six-sided die" to just 1 outcome are

1. Did the coin land on heads?

2. Is the value on the die odd?

3. Is the value on the die more than 3?

4. Does the value on die equal 1, 2, 5, or 6?

The possible answers to the above questions are yes or no

Possibilities for the coin = heads or tails → possible answers are yes or no

possibilities for the die = 1, 2, 3, 4, 5, or 6

while the possibility of a yes for the die requires as follows

1. Either the die is odd, 1, 3, or 5 or

2 The value of the die is more than 3 which gives 4, 5, or 6

3. Is the value on the die equal 1, 2, 5, or 6

All three questions for the die are required to cover all possible outcomes of 1, 2, 3, 4, 5 and 6 yes or no

Hence there is a possibility to pick the right question to get the same answer for both the coin and the die

Question

Sabella & her family went to Red Lobster. Their bill was $135.65. They had a 15% off coupon on meals more than $75. In addition, they wanted to leave a 20% tip on the original bill amount. How much tip should they leave? How much will they be discounted? What would be their total for the bill with the discount and tip included

Solution 1

Answer:

Step-by-step explanation:

Their original bill was $135.65. If they wanted to leave a 20% tip on the original bill amount, then the amount of tip that they would leave is

20/100 × 135.65 = 0.2 × 135.65 = $27.13

They had a 15% off coupon on meals more than $75. This means that their meal qualified for the coupon. The amount discounted would be

15/100 × 135.65 = 0.15 × 135.65 = 20.3475

The total for the bill with the discount and tip included would be

135.65 - 20.3475 + 27.13 = $142.4325

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