Answer:
P (T) = 1/4
P ( T | F ) = 1/2 = P(F)
The events are not independent.
Step-by-step explanation:
Let F the event of picking the white ball first
P (F)= 1/2 ( picking the white ball first)
Let T be the event of getting the white ball twice,
P (T) = P( getting white ball) * P( getting white ball)
=( 1/2)*(1/2)
= 1/4
Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.
P ( T | F ) = P (T∩F)/ P(F)
= (1/4)/ (1/2)
= (1/2)
= 1/2 = P(F)
For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).
Hence the events are not independent.
Hello from MrBillDoesMath
Answer: SAS, the second choice
Discussion:
The sides with a single "tick mark" in each triangle have the same length.
The sides with two "tick marks" in each triangle have the same length.
Finally the angle shown in each triangle is the same.
Hence we have congruence by S(ide)-A(ngle)-S(ide) which is the second bullet point from the top of the list.
Thank you,
Mr. B
25/5 would be 5 as a whole number
Answer:
Parker ran 2.76 miles
Step-by-step explanation:
distance = speed x time
First, we have to convert 27 minutes and 39 seconds to minutes only we do this with 39/60 because then the seconds divide by total seconds and we can use it as a decimal
39/60 = .65
So it took 27.65 total minutes now we must convert it to hours, so that the 6 MILES per hour has matching terms, we do this by dividing 27.65 by 60 (theres 60 total minutes in an hour)
So it took 0.460833333 hours at a 6 mph pace, we can round this to 0.46
Now we can plug in the time and speed
Distance = 6mph x 0.46 hours
Distance = 2.76 miles
Answer: x ≥ 1307
Explanation:
First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307
