State whether true or false
Answers
2) false
3) true
4) false
5) false
Answer:
1. The coefficient of p in -4pqn³ is -4. is false.
All fractions are rational numbers. is false.
3. 5 years ago I was 'x' years old. After 5 years from now, my age
will be (x+5) years. it is false.
4. On tossing two coins together, the probability of getting 2 tails is 1/4 is true.
5. 400000 is a perfect square.- False
Step-by-step explanation:
1. The coefficient of p in -4pqn³ is -4. is false because the coefficient of p in -4pqn³ is -4qn³.
Example: a number or symbol by which another number or symbol (as a mathematical variable) is multiplied. 3 is the coefficient of x in the expression 3x.
2. All fractions are rational numbers. is false because
All fractions can be termed rational numbers; however, all rational numbers cannot be termed as fractions. Only those rational numbers in which ‘p’ and ‘q’ are positive integers are termed fractions. Let a/b be any fraction. Now, a and b are natural numbers. Since all natural numbers are also integers, a and b are also integers. Thus, the fraction a/b is the quotient of 2 integers such that b ≠ 0. Hence, a/b is a rational number. One of the examples in which a number is a rational number but not a fraction is:
Consider the fraction 12/-32. It is a rational number but not a fraction because its denominator (n) is not a natural number.
3. 5 years ago I was 'x' years old. After 5 years from now, my age
will be (x+5) years. it is false because according to the information,
5 years ago age = x
so, the present age will be x+5,
After 5 years from now = x+5+5= x+10.
So, x+5 is wrong.
4. On tossing two coins together, the probability of getting 2 tails is 1/4 is true,
When 2 coins are tossed, the possible outcomes are HH. HT, TH, TT.
Number of possible outcomes =4
Let E be an event of getting 2 tails.
Favourable outcomes =TT
Number of favourable outcomes =1
P(E)= Numberofpossibleoutcomes/Numberoffavourableoutcomes
P(E)=1/4
The probability of getting 2 tails is 1/4.
5. 400000 is a perfect square.- False
No, the number 400,000 is not a perfect square.
400000 = 632.4555320336759
Proof that the square root of 400000 is 632.4555320336759
The square root of 400000 is defined as the only positive real number such that, multiplied by itself, it is equal to 400000.
The square root of 400000 can be written as (400000)1/2. So,
(400000)1/2 = (632.4555320336759 × 632.4555320336759)1/2
(400000)1/2 = [(632.4555320336759)2]1/2
(400000)1/2 = (632.4555320336759)2/2
(400000)1/2 = (632.4555320336759)1
Thus,
√400000 = 632.4555320336759
So, 400,000 is not a perfect square.
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