Answer:
Mrs. Wang is 38 years old and her daughter is 15 years old.
Step-by-step explanation:
Explanation:
Let
x
=
the daughter's age
Mrs. Wang is
23
years older, so her age is
x
+
23
In five years, the daughter will be
x
+
5
years old
In five years, Mrs. Wang will be
x
+
23
+
5
=
x
+
28
years old
And, in five years the sum of their ages will be 63, so...
x
+
5
+
x
+
28
=
63
Combine like terms
2
x
+
33
=
63
a
a
−
33
a
−
33
a
a
a
Subtract 33 from both sides
2
x
a
a
a
a
a
=
30
2
x
2
=
30
2
a
a
a
Divide both sides by 2
x
=
15
a
a
a
The daughter is 15
x
+
23
=
15
+
23
=
38
a
a
a
Mrs. Wang is 38
Answer:
7/12
Step-by-step explanation:
The nth term Tₙ = n(n-4) /n+3.
The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4
The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3
So, the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3
= (-9 + 16)/12
= 7/12
Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:


0.0874 = 8.74% probability that not enough seats will be available.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
18 pupils
Step-by-step explanation:
11 like cola
32 like other stuff
11+32=43 - 50-43=7
therefore 11+7=18
18 students like cola the best