Which of the following transformations will not always result in a congruent image?

An important problem encountered by personnel directors and others faced with the selection of the best in a finite set of eleme

SVETLANKA909090 [29]

Answer:

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

10 engineers selected from a set of 20.

5 best, from a set of 5.

Other 5, from a set of 20-5 = 15.

$D = C_{5,5}*C_{15,5} = \frac{5!}{5!(5-5)!}*\frac{15!}{5!(15-5)!} = 3003$

Totao outcomes:

10 engineers selected from a set of 20.

$T = C_{20,10} = \frac{20!}{10!(20-10)!} = 184756$

Probability:

$p = \frac{D}{T} = \frac{3003}{184756} = 0.0163$

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

5 0

3 years ago

Helpppppppppppppp my cousins work

SIZIF [17.4K]

•20x200
•4x1000
•8x500
•10x400
•16x250
•2x2000

any of those

7 0

3 years ago

What must be true for lines a and b to be parallel lines? Check all that apply.

Dima020 [189]

Answer:

Option (1), (2) , (7) and (8) is correct.

Step-by-step explanation:

Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.

Since, a║b and d be a transversal then ,

∠BXZ = ∠AZP = 58° ( corresponding angles )

Thus, m∠2 = 58°

∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)

Since, a║b and c be a transversal then,

∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)

Thus, m∠1 = (4X-10)°

Also, Since, 'a' is a straight line.

Sum of angles on a straight line is 180°.

⇒ ∠PZA + ∠PZQ + ∠QZU = 180°

⇒ 58° +(3X-1)°+(4X-10)° = 180°

⇒ 58° + 7x - 11 = 180°

⇒ 47° + 7x = 180°

⇒ 7x = 180°- 47°

⇒ 7x = 133°

⇒ x = 19°

Put x = 19 in (3X-1)° and (4X-10)° , we get

(3X-1)° = (3(19)-1)° = 56°

(4X-10)° = (4(19)-10)°= 66

Thus, (3X-1)° ≠ (4X-10)°

Thus, option (1), (2) , (7) and (8) is correct.

5 0

3 years ago

Read 2 more answers

Which expressions represent rational numbers? Select all the apply.

RUDIKE [14]

Answer:

the answers are A, B, C, and F

Step-by-step explanation:

just took the quiz

8 0

3 years ago

Read 2 more answers

Bella spent 15% of her paycheck at the mall, and 40% of that was spent at the

Bingel [31]

Answer:

$229

Step-by-step explanation:

Pay check = P

so

Total spent movie T = $13.74

T = 0.4 *0.15* P = $13.74

The 40% on the Movie Theatre spending is part of the 15% spending at the mall.

So 40% of 15% of the Pay Check = $13.74

P = $13.74 / (0.4*0.15) = 34.35/0.15 = 229

5 0

2 years ago

Read 2 more answers