I would like to know what the question is thank you
The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
Answer:
Step-by-step explanation:
20) the plane figure is a parallelogram. In a parallelogram, the opposite sides are equal. This means that
2a + 6 = 3a - 10
3a - 2a = 6 + 10
a = 16
Also
6b - 3 = 5a + 1
6b = 5a + 1 + 3
6b = 5a + 4
Substituting a = 16 into 6b = 5a + 4, it becomes
6b = 5 × 16 + 4
6b = 84
b = 84/6 = 14
21) The opposite angles of a parallelogram are congruent. Therefore,
5b + 6 = 8a - 10
8a - 5b = 6 + 10
8a - 5b = 16 - - - - - - - - - - 1
Also
The sum of consecutive angles is 180 degrees. Therefore,
8a - 10 + 4a - 8 = 180
8a + 4a - 10 - 8 = 180
12a = 180 + 18 = 198
a = 198/12 = 16.5
Substituting a = 16.5 into equation 1, it becomes
8 × 16.5 - 5b = 16
132 - 5b = 16
5b = 132 - 16 = 116
b = 116/5 = 23.2
22) The diagonals of the he parallelogram bisect each other. Therefore,
5b - 7 = 3b + 6
5b - 3b = 6 + 7
2b = 13
b = 13/2 = 6.5
Also,
3b - 5 = 2a
2a = 3 × 6.5 - 5
2a = 14.5
a = 14.5/2 = 7.25
23) opposite sides of the parallelogram are equal. Therefore,
1.4b = b + 8
1.4b - b = 8
0.4b = 8
b = 8/0.4 = 20
Also,
3a + 1.8 = 4a - 6.6 (they are alternate angles). Therefore,
4a - 3a = 1.8 + 6.6
a = 8.4
Answer:
Hence, option (3) is correct.
Step-by-step explanation:
The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
The probability of Roger winning the tournament, given that Stephan wins, is 0 i.e.
The probability of Stephan winning the tournament, given that Roger wins, is 0 i.e.
We know that
⇒ P(A∩B)=0
But if A and B are independent events then P(A∩B)=P(A)×P(B)
Hence, P(A|B)=P(A)
Similarly
Hence, if A and B are independent events then,
P(B|A)=P(B)
But in this situation such a thing is not possible.
Hence, option (3) is correct.
The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse. Use the Pythagorean Theorem formula
+ (14 Ft.) = (13Ft.)
+ (13)(13) = (14)(14)
+ 169 = 196
= 196-169
= 27