The next number of the number series 12 21 23 32 34 43 would be; 54
We are given the series as;
12 21 23 32 34 43
First, we have to add 11 to 12
11 + 12 = 23,
then we add 11 to 23
11 + 23 = 34,
Now we have to add 11 to 34
11 + 34 =45,
This is the next number:
12 21 23 32 34 43 45 54
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Answer:
Recursive form of sequence is given by f(n) = f(n-1) - 3
Step-by-step explanation:
The explicit form of sequence is given as
f(n) = −3n + 2
So nth term is given by
f(n) = −3n + 2
(n-1)th term is given by
f(n-1) = −3(n-1) + 2
We have
f(n) - f(n-1) = −3n + 2 - (−3(n-1) + 2)
f(n) - f(n-1) = −3n + 2 +3(n-1) - 2
f(n) - f(n-1) = −3n + 2 +3n -3 - 2
f(n) - f(n-1) = -3
f(n) = f(n-1) - 3
Recursive form of sequence is given by f(n) = f(n-1) - 3
Answer:
13.26
Step-by-step explanation:
The computation of the height should be computed by using the Pythagoras theorem
As we know that
Hypothenuse^2 = base^2 + height^2
where,
Hypothenuse is 15 foot
And, the foot of the ladder i.e base is 7
So now placing these values
The height is
15^2 = 7^2 + height^2
225= 49 + height^2
After solving this, the height is 13.26
True
False
Answer:
True.
Step-by-step explanation:
Given :Integers are a subset of Rational Numbers.
To Find : True or False
Solution:
Rational numbers : A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Integer : An integer is a number that can be written without a fractional component
Integer can be written in p/q form with denominator 1
So, Integer is a subset of Rational numbers .
Hence Integers are a subset of Rational Numbers is true.
The statement is true, integers are indeed a subset of rational numbers. This is because every integer can be expressed as a rational number with the denominator as 1.
Yes, it is True that Integers are a subset of Rational Numbers. Rational numbers are defined as any number that can be expressed as the quotient or fraction of two integers, with the denominator not equal to zero. For instance, the number 3/1 is a rational number, and it equals to the integer 3. Integers, on the other hand, can be thought of as rational numbers where the denominator is always 1. Therefore, every integer is a rational number, but not every rational number is an integer.
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The expected value E[(1-x)(1-x)] is 1/4. This represents the average value of the function (1-x)(1-x) for the given probability distribution of x values.
We are given an indicator variable x with values 0 and 1. The probability of x = 0 is 1/4 and x = 1 is 3/4. We need to find the expected value E[(1-x)(1-x)].
Step 1: Determine the function we are working with.
We have the function (1-x)(1-x), which simplifies to (1-2x+x^2).
Step 2: Find the probabilities for each value of x.
For x = 0, the probability is 1/4.
For x = 1, the probability is 3/4.
Step 3: Compute the function values for each x value.
For x = 0, (1-2(0)+0^2) = 1.
For x = 1, (1-2(1)+1^2) = 0.
Step 4: Calculate the expected value.
E[(1-x)(1-x)] = (1)(1/4) + (0)(3/4) = 1/4.
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Answer:
11 and 1
Step-by-step explanation:
taking 11 and multiplying it by 1 is 11
adding 11 and 1 is 12
therefore, the answer is 11 and 1