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alexandr402 [8]
3 years ago
15

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?
Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

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100 points
iragen [17]

Student A is wrong and Student B is correct.

How?

  • Direction is saying to construct a line that passes through C
  • The last step is enough to describe that A is wrong.
  • Its saying to swing an arc(Should be line).
  • On the other hand Student B has done correct
  • By passing point through C and G it satisfies our required construction.
3 0
2 years ago
Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,100. T
Anastasy [175]

Answer: 11 year

P(1) = 37,100

P(4) = 58,400

The linear equation (for x ≥ 1)

P(x) = 37,100 + a(x-1)

For x = 4

58,400 = 37,100 + a(4-1)

58,400 - 37,100 = 3a

21300 = 3a

a = 7100

So, the linear equation:

P(x) = 37100 + 7100*(x-1)

P(x) = 37100 + 7100x - 7,100

P(x) = 7100x + 30000

To find when the profit should reach 108100, we can substitute P(x) by 108100.

108100 = 7100x + 30000

108100 - 30000 = 7100x

78100 = 7100x

x = 78100/7100

x = 11

Answer: 11 year

7 0
1 year ago
Obtuse is to more than 90° as reflex is to​
Simora [160]

9514 1404 393

Answer:

  >180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

  • acute: < 90°
  • right: = 90°
  • obtuse: > 90°
  • straight/linear: = 180°
  • reflex: > 180°

It seems that we're looking at definitions:

  obtuse : >90° :: reflex : >180°

7 0
2 years ago
Is 7, 20, 25 a right triangle?
love history [14]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.

a)    25² = 20² + 7²

      625 = 400 + 49

     625 ≠ 449              It is not a right triangle

b)   26² = 24² + 10²

      676 = 576 + 100

      676 = 676               it is a right triangle

c)   13² = 8² + (√10)²

     169 = 64 + 10

      169 ≠ 74                 it is not a right triangle

d)   52² = 48² + 20²

      2704 = 2304 + 400

      2704 = 2704               it is a right triangle

3 0
3 years ago
The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
3 years ago
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