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svp [43]
3 years ago
12

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A

quality control consultant is to select 4 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 4 workers has the same chance of being selected as does any other group (drawing 4 slips without replacement from among 24).
Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
Yeah i think it’s A hope
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9999999999999999999999999999999999999+888888888888888888888888888888888888
alexandr1967 [171]

Answer:

a lot

Step-by-step explanation:

3 0
3 years ago
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
butalik [34]

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

1) The length of the sides of the figure of the preimage and the image are congruent

Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

∠ABC ≅ ∠A'B'C'

3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

Therefore;

Segment AQ ≅ A'Q'.

4 0
3 years ago
Need help due tomorrow plese
Sav [38]
The answers to the questions

4 0
3 years ago
A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?
ipn [44]
20ft and 35ft are the dimensions
8 0
2 years ago
Read 2 more answers
If the sum of its number is 80 rhen find their mean​
insens350 [35]

Answer: First number = 50, Second number = 30

Solution:

Assuming that the numbers are integers, let p denote the first number and q the second number.

Given, sum of the two numbers is 80.

∴ p+q = 80………………………………………………………………………………………………(1)

⇒ q = 80 - p ………………………………………………………….………………………………..(2)

Also given, 3 times the first number (p) is same as 5 times the second number (q).

∴ 3p = 5q ………………………………………………………………………………………………..(3)

Simultaneous solution of equations (1) and (3) in the two variables p and q will furnish the answer.

Method 1: Substitution Method

Substituting for q from (2) in (3),

3p = 5(80-p)

Or, 3p = 5x80 - 5p = 400 - 5p

Or, 8p = 400 (Transposing -5p from right to left and simplifying)

Or, 8p/8 = 400/8 (Dividing both sides by 8)

Or, 1.p = 50x8/8 (Factoring 400)

⇒ p = 50

Substituting for p = 50 in (2),

q = 80 - 50

⇒ q = 30

Method 2: Elimination Method

Rewriting, (2)→

3p - 5q = 0 ……………………………………………………………………………………………..…(4)

Now 3 x equation(1) - equation(4) →

3p + 3q -3p + 5q = 3x80 - 0

Or, 8q = 240

Dividing both sides by 8 and simplifying give

q = 30

Substituting for q=30 in (1),

p+30 = 80

Subtracting 30 from both sides,

p+30–30 = 80–30

Or, p+0 = 50

⇒p = 50

These values are in agreement with those obtained by method 1.

Hence, the first number = 50 and second number = 30 (Answer)

Result Verification:

p = 50, q= 30

∴ p+q = 50+30 = 80 in agreement with equation (1)

3p = 3x50 = 150

5q = 5x30 = 150

Step-by-step explanation:

7 0
3 years ago
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