If Sofia and Juana worked together I would take them 1 hour
<u>Given</u>:
Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.
We need to determine the values of x and y.
<u>Values of x and y:</u>
We know the property that the opposite sides of a parallelogram are congruent.
Thus, we have;
------- (1)
------- (2)
The value of x and y can be determined using the substitution method.
Substituting equation (2) in equation (1), we have;





Thus, the value of x is 3.
Substituting x = 3 in equation (2), we have;



Thus, the value of y is 10.
<h2>
Answer:</h2>
a)
The probability that both televisions work is: 0.42
b)
The probability at least one of the two televisions does not work is:
0.5833
<h2>
Step-by-step explanation:</h2>
There are a total of 9 televisions.
It is given that:
Three of the televisions are defective.
This means that the number of televisions which are non-defective are:
9-3=6
a)
The probability that both televisions work is calculated by:

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.
and the total outcome is the selection of 2 televisions from a total of 9 televisions)
Hence, we get:

b)
The probability at least one of the two televisions does not work:
Is equal to the probability that one does not work+probability both do not work.
Probability one does not work is calculated by:

and the probability both do not work is:

Hence, Probability that atleast does not work is:
0.5+0.0833=0.5833
Answer:


Step-by-step explanation:
La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

Sabiendo que la apotema es 7.464 el lado sera:



Por otro lado el area de un dodecágono regular esta dada por:



Espero te haya sido de ayuda!