Answer:
a. 52%
b. 40%
Step-by-step explanation:
Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,
Then according to the question,
P(A) = 20% = 0.2,
P(B) = 40% = 0.4,
Here, A and B are independent events,
So, P(A∩B) = P(A) × P(B),
⇒ P(A∩B) = 0.2 × 0.4 = 0.08
We know that,
P(A∪B) = P(A) + P(B) - P(A∩B)
a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08
= 0.52
= 52%
b. The conditional probability it rains on Tuesday given that it rained on Monday,
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of triangle PST is equal to
step 1
Find the length PS
In the right triangle PST
---> opposite side angle of 48 degrees divide by the hypotenuse
substitute the given values
Solve for PS
step 2
Find the length TS
In the right triangle PST
---> adjacent side angle of 48 degrees divide by the hypotenuse
substitute the given values
Solve for TS
step 3
Find the perimeter
we have
substitute
Answer:
c = 15t
Step-by-step explanation:
Given that:
Unit cost of Ticket = $15
Total cost = unit cost * number of tickets purchased
Total cost = c
Number of tickets purchased = t
C = $15 * t
c = 15t
Answer:
55.5 seconds
Step-by-step explanation:
The distance between the deer and bear is increasing at the rate of ...
(7 ft/s) +(3 ft/s) = 10 ft/s
The total distance apart we're interested in is ...
(185 yd)(3 ft/yd) = 555 ft
The time required to make a gap that large is ...
time = distance/speed = (555 ft)/(10 ft/s) = 55.5 s
It will be 55.5 seconds until the animals are 185 yards apart.
Answer:
First, identify your variables:
Let x = number of men in attendance.
Let y = number of women in attendance.
x + y = 48.
and
y = 12 + x
sub the second equation in for y in the first equation:
x + (12 + x ) = 48.
12 + 2 x = 48
2 x = 36
x = 18
y = 12 + 18
y = 30
