Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
<u>En la primera estapa subió el 20% (un quinto):</u>
Primera etapa= 225*0.2= 45 metros
<u>En la tercera etapa subió 25% (un cuarto):</u>
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
Answer:
Solution : Option C
Step-by-step explanation:
We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations ( x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.
Given : x = - 9,
( Substitute r cos(θ) for x )
r cos(θ) = - 9,
r = - 9 / cos(θ)
( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )
r = - 9 sec(θ)
Therefore the third option is the correct solution.
You must calculate how many ways can 2 people be selected from 65.
The formula is:
n! / r! * (n-r)! =
65! / 2! * 63! =
65*64*63! / 2 * 63! =
65*64 / 2 =
2,080 handshakes
Source:
http://www.1728.org/combinat.htm
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375
Answer:
19) n = -14
20) x = 4
21) b= -14
22) x = 2
23) x = -1
24) x = -9
Step-by-step explanation:
19) Use the distributive property to get rid of the parentheses. You will get: 20-4n = 76. So, n = -14.
20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4
21) Add 3 to both sides to get: 
= -1. So, b = -14
22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.
23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1
24) Add 2 to both sides to get: 
= -3. So, x = -9
Hope this helps :)
