Answer:
Probability of picking Red ball is 27.5%
Step-by-step explanation:
Given:
Total Number of balls = 200
Number of White balls = 100
Number of Red balls = 55
Number of Black balls = 45
We need to find the probability of the ball picked to be red.
Solution:
Now we know that;
Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.
framing in equation form we get;
Hence Probability of picking Red ball is 27.5%.
Answer: B false
Step-by-step explanation:
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th
Answer:
(a) ¬(p→¬q)
(b) ¬p→q
(c) ¬((p→q)→¬(q→p))
Step-by-step explanation
taking into account the truth table for the conditional connective:
<u>p | q | p→q </u>
T | T | T
T | F | F
F | T | T
F | F | T
(a) and (b) can be seen from truth tables:
for (a) <u>p∧q</u>:
<u>p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q</u>
T | T | F | F | T | T
T | F | T | T | F | F
F | T | F | T | F | F
F | F | T | T | F | F
As they have the same truth table, they are equivalent.
In a similar manner, for (b) p∨q:
<u>p | q | ¬p | ¬p→q | p∨q</u>
T | T | F | T | T
T | F | F | T | T
F | T | T | T | T
F | F | T | F | F
again, the truth tables are the same.
For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))
Answer:
About $437.25
Step-by-step explanation:
Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23
The total annual premium = $75000
Using the data in the table :
Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83
The annual premium for $75,000 ;
Premium per $1000 × ($75000/$1000)
Annual premium = $5.83 × ($75,000/1000)
Annual premium = $5.83 × 75 = $437.25
Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25
