Answer:
The answer is 0.75.
Step-by-step explanation:
To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.
So there are in total 4 scenarios where no couple is sitting next to each other.
There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.
I hope this answer helps.
Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
The value of x is 21√2/2
The correct option is (A)
<h3>What is Trigonometry?</h3>
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
In triangle having angle 60.
sin 60 = P/ 7√3
√3/2= P/7√3
2P= 21
P= 21/2
Now again
cos 45= 21/2/x
1/√2 = 10.5/x
x= 21√2/2
Learn more about trigonometry here:
brainly.com/question/26719838
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Answer:
1.635
Step-by-step explanation:
Answer:
The total money she saved in a year = X + 12Y.
Step-by-step explanation:
Mary got a piggy bank as a gift.
Sum of money in the piggy bank while she got it as a gift = X cents
Sum of money she saved = Y cents per month
1 year = 12 months
So, sum of money she saved in 1 year = Y × 12
= 12Y
Hence, the total money she saved in a year = X + 12Y.