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2 years ago

What is the most direct use of a compass in geometric constructions?

Mathematics

2 answers:

Dmitry_Shevchenko [17]2 years ago

6 0

The <em>correct answer</em> is:

To draw arcs of a given size.

Explanation:

A compass is a tool used to draw a circle. Since an arc is a part of a circle, the most direct use of a compass would be to draw arcs of a given size.

chubhunter [2.5K]2 years ago

5 0

The most direct use of a compass in any geometric constructions are to draw arcs of a given size. The correct answer is B.

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A potato chip company makes chips to fill snack-size bags and family size bag. in one week production cannot exceed 2400 units,

Ainat [17]

Answer:

600 units of for snack-size, 1800 units for family-size

Step-by-step explanation:

7 0

2 years ago

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data. 13, 17, 9

dlinn [17]

Mean = 60 / 4 = 15

13 - 15 = -2
17 - 15 = 2
9 - 15 = -6
21 - 15 = 6
Total of squares = 4 + 4 + 36 + 36 = 80

because this is a sample we divide this by n - 1 ( = 3)

Standard deviation = sqrt (80/3) = 5.16 answer

8 0

2 years ago

Read 2 more answers

The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan

Schach [20]

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

$Z=\dfrac{x-\mu }{\sigma }$

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

$Z=\dfrac{11.4-24.4 }{6.5 } = -2$

The z-score for 37.4 is given as follows;

$Z=\dfrac{37.4-24.4 }{6.5 } = 2$

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

$Z=\dfrac{x-\mu }{\sigma }$

$Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466$

7 0

2 years ago

The points (3,9) and (-3,-9) lie in which quadrants?

kumpel [21]

Answer:

Quadrant I and III

Step-by-step explanation:

The coordinate (3,9) is all positive, therefore it lies in quadrant I.

The coordinate (-3,-9) is all negative, therefore it lies in quadrant III.

3 0

2 years ago

Read 2 more answers

Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $

Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

50x+150y=600

x=3y

Solve for y in each equation:

1) 50x+150y=600

150y=−50x+600

y=-1/3x+4

2) x=3y

y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

4 0

2 years ago