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3 years ago

Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).

Business

1 answer:

Alisiya [41]3 years ago

8 0

Answer: y = 3.14

Explanation:

Given the line x = -5

x = -5 represents a vertical line

A line perpendicular to the vertical line x=-5 will be an horizontal line.

Given the points (1, 3.14)

x = 1, y = 3.14

According to the slope intercept equation;

y = mx + c

Where, c = intercept, m = slope

Horizontal lines have a slope of 0,

Therefore,

y = 0(1) + 3.14

y = 3.14

Therefore, equation of the line which is perpendicular to x = -5 and passes through the point (1, 3.14) is y = 3.14

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John is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u

Vinil7 [7]

Answer:

0.0042 is the probability of the stick's weight being 2.33 oz or greater.

Explanation:

We are given the following information in the question:

Mean, μ = 1.75 oz

Standard Deviation, σ = 0.22 oz

We are given that the distribution of drumsticks is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(stick's weight being 2.33 oz or greater)

P(x > 2.33)

$P( x > 2.33) = P( z > \displaystyle\frac{2.33 - 1.75}{0.22}) = P(z > 2.6363)$

$= 1 - P(z \leq 2.6363)$

Calculation the value from standard normal z table, we have,

$P(x > 2.33) = 1 - 0.9958 =0.0042= 0.42\%$

0.0042 is the probability of the stick's weight being 2.33 oz or greater.

6 0

3 years ago

The main advantage of diversification as an investment policy is that it

Lera25 [3.4K]

Answer:

Minimising risk of loss

Explanation:

One of the most significant values of investment is to guarantee that you have a extended portfolio. The key advantage of constructing a portfolio is that it helps in Limiting danger of misfortune. If one venture performs ineffectively over a specific period, different speculations may perform better over that equivalent period, decreasing the potential misfortunes of your venture portfolio from concentrating all your capital under one kind of speculation.

4 0

3 years ago

Someone help me in my homework please?

aniked [119]

Answer:

im sorryi wish i was good at math

Explanation:

im failing math btw

3 0

2 years ago

How do you get brainlist

miss Akunina [59]

Answer:

To get brainliest, you have to provide a very good answer, and the person who asked the question can pick your answer to be brainliest using a bottom right of the question icon. A brainliest answer probably helped the user, and they are happy enough with your question to award you this.

Explanation:

8 0

3 years ago

1-a. Prepare a contribution format income statement for the game last year. 1-b. Compute the degree of operating leverage. 2. Ma

marishachu [46]

Answer:

1-a. Total Contribution margin is $210,000 and Net operating income is $28,000.

1-b. Degree of Operating Leverage = 7.50

2-a. The expected percentage increase in net operating income for next year is 150%.

2-b. Expected amount of Net Operating Income is $70,000.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.

Required:

1-a. Prepare a contribution format income statement for the game last year.

1-b. Compute the degree of operating leverage.

2. Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year). Given this assumption:

a. What is the expected percentage increase in net operating income for next year?

b. What is the expected amount of net operating income for next year? (Do not prepare an income statement; use the degree of operating leverage to compute your answer.)

Explanation of the answer is now provided as follows:

1-a. Prepare a contribution format income statement for the game last year.

The contribution format income statement for the game last year can be prepared as follows:

Magic Realm, Inc.

Contribution Income Statement

For Last Year

Details Total ($) Per Unit ($)

Sales 300,000 20

Variable cost (90,000) (6)

Contribution margin 210,000 14

Fixed expense (182,000)

Net operating income  28,000 

1-b. Compute the degree of operating leverage.

Degree of Operating Leverage = Contribution Margin / Operating Income = $210,000 / $28,000 = 7.50

2-a. Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year). Given this assumption: What is the expected percentage increase in net operating income for next year?

Since:

Degree of Operating Leverage = Percentage change in Operating Income / Percentage change in Sales

Substituting the relevant values, we have:

7.50 = Percentage change in Operating Income / 20%

Percentage change in Operating Income = 7.5 * 20% = 150%

Therefore, the expected percentage increase in net operating income for next year is 150%.

2-b. Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year). Given this assumption: What is the expected amount of net operating income for next year? (Do not prepare an income statement; use the degree of operating leverage to compute your answer.)

This can be calculated as follows:

Change in Net Operating Income = 150% * $28,000 = $42,000

Expected amount of Net Operating Income = Current Net Operating Income + Change in Net Operating Income = $28,000 + $42,000 = $70,000

6 0

3 years ago