The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
<h3>Conditional Probability</h3>
This is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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Step-by-step explanation:
let the 1st number be x
given,
2nd number = 10 less than 1st number = x - 10
3rd number = 2 times the 1st number = 2x
their sum = 74
a/q,
x + x - 10 + 2x = 74
after solving the equation,
→ x + x - 10 + 2x = 74
→ 4x - 10 = 74
→ 4x = 74 + 10 = 84
→ 4x = 84
→ x = 84/4 = 21
therefore,
1st number = x = 21
2nd number = 10 - x = 21 - 10 = 11
3rd number = 2x = 2 × 21 = 42
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Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12
The statement that best interprets the quotient is "there are 6( 1/4 ) two - third in 4( 1/6 )".
In mathematics, the sum obtained by diluting two numbers is known as a quotient. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
Any integer may be used as the larger number in a fraction, which is a number that represents a percentage of the larger number. It is shaped like a denominator and a numerator.
For step 1:
The shaded part is:
4 + 1/6 = 4(1/6) = 25/6
Now, dividing the shaded part by the unshaded part,
( 25/6 ) / ( 2/3 ) = ( 25/6 ) × ( 3/2 )
( 25/6 ) / ( 2/3 ) = 25/4
( 25/6 ) / ( 2/3 ) = 6( 1/4 )
Hence, there are 6( 1/4 ) two - third in 4( 1/6 ).
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Simplifying
(6x + -5) + -1(7x + 2) = 0
Reorder the terms:
(-5 + 6x) + -1(7x + 2) = 0
Remove parenthesis around (-5 + 6x)
-5 + 6x + -1(7x + 2) = 0
Reorder the terms:
-5 + 6x + -1(2 + 7x) = 0
-5 + 6x + (2 * -1 + 7x * -1) = 0
-5 + 6x + (-2 + -7x) = 0
Reorder the terms:
-5 + -2 + 6x + -7x = 0
Combine like terms: -5 + -2 = -7
-7 + 6x + -7x = 0
Combine like terms: 6x + -7x = -1x
-7 + -1x = 0
Solving
-7 + -1x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms: 0 + 7 = 7
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
