Answer:
8. 5/6
9. 6.25 or 6 1/4
10. 14.4 Fish
Step-by-step explanation:
8. Reduce the fraction. (20/24) You can divide both the numerator and denominator by 4.
9. Divide 75 by 12
10. Divide 72 by 5
No, <span>.32903 is not greater than 0.59</span>
Answer:
a) P ( E | F ) = 0.54545
b) P ( E | F' ) = 0
Step-by-step explanation:
Given:
- 4 Coins are tossed
- Event E exactly 2 coins shows tail
- Event F at-least two coins show tail
Find:
- Find P ( E | F )
- Find P ( E | F prime )
Solution:
- The probability of head H and tail T = 0.5, and all events are independent
So,
P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT) = 6*(1/2)^4 = 0.375
P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)
= 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875
- The probabilities for each events are:
P ( E ) = 0.375
P ( F ) = 0.6875
- The Probability to get exactly two tails given that at-least 2 tails were achieved:
P ( E | F ) = P ( E & F ) / P ( F )
P ( E | F ) = 0.375 / 0.6875
P ( E | F ) = 0.54545
- The Probability to get exactly two tails given that less than 2 tails were achieved:
P ( E | F' ) = P ( E & F' ) / P ( F )
P ( E | F' ) = 0 / 0.6875
P ( E | F' ) = 0
Answer:
10\pi[/tex]
Step-by-step explanation:
Circunferencia de un círculo = Pi veces diámetro
como el diámetro es igual a la mitad del radio, sabemos que si multiplicamos el radio por dos obtendremos el diámetro del círculo. Por lo tanto, 5 veces 2 = 10. Ahora hacemos 10 veces pi. El cual es 10 pi o 31.4159
Circumference of a circle = Pi times diameter
since the diameter is equal to half the radius, we know that if we multiply the radius by two we will obtain the diameter of the circle. Therefore, 5 times 2 = 10. Now we do 10 times pi. Which is 10 pi or 31.4159
Answer:
The expression 6x should be 6x^2.
Step-by-step explanation:
Given is the chart of multiplication of the binomial by the trinomial.
Let's check each element in the chart:-
3x times x^2 = 3x^3
3x times 2x = 6x^2
3x times 4 = 12x
2 times x^2 = 2x^2
2 times 2x = 4x
2 times 4 = 8
From the given chart, we can identify that <u>6x should be 6x^2.</u>
Hence. option B is correct, i.e. The expression 6x should be 6x^2.
