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wel
3 years ago
13

How to find the probability? Please show your work. Thanks!

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

The event of the machine working is A\cap B\cap C\cap D, and since the components operate independently, we have

P(A\cap B\cap C\cap D)=P(A)P(B)P(C)P(D)

so just multiply the given probabilities together,

P(A\cap B\cap C\cap D)=0.99^2\cdot0.94\cdot0.93\approx0.8568

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Un grupo de turistas gasta $ 153 para alquilar tubos y aletas. Se alquilan un total de 12 snorkels y 15 pares de aletas. Alquila
Anettt [7]

Answer:

The cost to rent a snorkel is 9$

(<em>espanol</em>) el costo de un snorkel es de 9$

Step-by-step explanation:

(English)Given that the group of tourists have spent $153 in renting snorkels and fins and there are 12 snorkels and 15 pairs of fins being rented, allow x to be the amount paid for the rent of the snorkels and y to be the rent for pairs of fins then 12x + 15y = 153. Given also that the rent for a snorkel is three times the rent of a pair of fins then x = 3y then, 12(3y) + 15y = 153. Simplify the equation, 36y + 15y = 153. 51y = 153. Solve for y by dividing both sides of the equation by 51 then, y = 153/51 = 3. Therefore, renting a pair of fins costs $3. To compute for the rent of a snorkel, use the equation x = 3y then, x = 3($3) = $9.

(Espanol) Dado que el grupo de turistas han gastado $153 en el alquiler de snorkels y aletas y hay 12 snorkels y 15 pares de aletas que se alquilan, permitir x para ser la cantidad pagada por el alquiler de los snorkels y y para ser el alquiler para pares de aletas entonces 12x + 15y 153. Dado también que el alquiler para un snorkel es tres veces el alquiler de un par de aletas y luego x a 3y, entonces, 12 (3y) + 15y a 153. Simplifique la ecuación, 36y + 15y a 153. 51y a 153. Resuelva para y dividiendo ambos lados de la ecuación por 51 entonces, y á 153/51 a 3. Por lo tanto, alquilar un par de aletas cuesta $3. Para calcular el alquiler de un snorkel, utilice la ecuación x á 3y, a continuación, x a 3($3) a $9.  

5 0
3 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
Lapatulllka [165]

Answer:

C =81.64 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

The radius is 13

C = 2 * 3.14 * 13

C =81.64 cm

3 0
3 years ago
Read 2 more answers
The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was underta
Julli [10]

Answer:

A) 0.335; B) 0.343; C) 0.599

Step-by-step explanation:

For part A,

To find the probability that the user has more than one infection per year, we can either add together the probabilities for 2, 3, 4 and 5; or we can add together the probabilities for 0 and 1 and subtract them from 1:

1-(P(X = 0)+P(X = 1))

= 1-(0.343+0.322) = 1-0.665 = 0.335

For part B,

The probability that the user has no infections per year is P(X = 0); this is 0.343.

For part C,

The probability that the user has between 1 and 3 infections (inclusive) per year is

P(1 ≤ X ≤ 3) = 0.322+0.201+0.076 = 0.599

8 0
3 years ago
MathWiz wya? I need some help with this...show your work &lt;3
denpristay [2]

Answer:

1) -15+8i

2) x^2+2x-5

Step-by-step explanation:

1) apply perfect square formula

(4i)^2+2*4i1+1^2

then simplify

2)remove parentheses

x+1+(x-2)(x+3)

expand (x-2)(x+3)

x+1+x^2+x-6

simplify x+1+x^2-6 = x^2+2x-5

7 0
3 years ago
Read 2 more answers
Pls solve this<br> we need to find radius of this shape
Strike441 [17]
(not sure )
my method
let projection of b onto line dq be M
BM is 2r
then let the remaining angle ( right) be K
in triangle BMK ,
MK = 29-5-r
By Pyth. theorem ,
23^2 = (2r)^2+(29-5-r)^2
529=4r^2+576-48r+r^2
5r^2-48r+47=0
r = 8.493237063 or 1.106762937(rejected)
5 0
3 years ago
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