Answer:
259 / 701
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of getting someone who has been in a car accident = number of respondents that have been in an accident / total number of respondents
total number of respondents = 259 + 442 = 701
= 259 / 701
Answer: x = 87.582 , 11.148 .
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Explanation
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Given:
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50 + (x²/20) + (x/20) = 5x ; Solve for "x" ;
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→ First, let us multiply the entire equation (both sides) by "20" ; to get rid of the fractions ;
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20 * {50 + (x²/20) + (x/20) = 5x } ;
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to get:
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1000 + x² + x = 100x ;
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Subtract "x" from each side ;
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1000 + x² + x − x = 100x <span>− x ;
to get: 1000 + x</span>² = 99x ;
Rewrite as:
x² + 1000 = 99x ;
Subtract "99x" from each side of the equation:
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x² + 1000 − 99x = 99x − 99x ;
to get:
x² − 99x + 1000 = 0
This expression is written is "quadratic format" ; that is:
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" ax² + bx + c = 0 ; a ≠ 0 " ;
in which: a = 1 (implied coefficient of "1"; since anything multiplied by "1"; is that same value) ;
b = -99 ;
c = 1000 ;
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→ So, we can solve for "x" using the quadratic equation formula (since the expression cannot be factored):
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x = {- b ± √(b² <span>− 4ac) } / {2a} ;
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</span>Note: - b = - (-99) = 99 ;
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b² = (-99)² = 9801 .
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4ac = 4*a*c = 4*1*1000 = 4000 ;
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(b² − 4ac) = 9801 − 4000 = 5801
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√ (b² − 4ac) = √(5801) = 76.16429609731846
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2a = 2*a = 2*1 = 2
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Rewrite the quadratic formula:
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x = { - b ± √(b² − 4ac) } / {2a} ;
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→ x = (99 ± 76.16429609731846) / 2 ;
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And, with the "±" ; we have 2 (TWO) potential solutions:
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Case 1)
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→ x = (99 + 76.16429609731846) / 2 ;
= (175.16429609731846) / 2
= 87.58214804865923 ; →round to: 87.582 .
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Case 2)
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→ x = (99 − 76.16429609731846) / 2 ;
= (22.83570390268154) / 2 ;
= 11.41785195134077 ; round to: 11.418.
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Answer: x = 87.582 , 11.148 .
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The average of 6 quiz scores, where
is the score of the last quiz, is
![\dfrac{83+81+89+92+80+x}6=\dfrac{425+x}6](https://tex.z-dn.net/?f=%5Cdfrac%7B83%2B81%2B89%2B92%2B80%2Bx%7D6%3D%5Cdfrac%7B425%2Bx%7D6)
The student needs a minimum average of 86 to earn an A:
![\dfrac{425+x}6=86\implies425+x=516\implies x=91](https://tex.z-dn.net/?f=%5Cdfrac%7B425%2Bx%7D6%3D86%5Cimplies425%2Bx%3D516%5Cimplies%20x%3D91)
so the student needs a score of 91.
Answer:
4(5+2y)=3(3y+7) and -(y+1)
Step-by-step explanation:
You combine like terms
20-21 =-1
8y -9y = -1y
so your answer is anything that is the same as -1 - y
2(10+4y-7y-19) =2( -3y-9) = -6y-18 NO
2(10 +4y) - 3(3y-7) = 20 +8y - 9y +21 = -y +41 NO
4(5+2y-5y-17)= 4(-3y -12) = -12y -48 NO
4(5+2y) - 3(3y+7) = 20 +8y - 9y -21 = -1 = y YES
-(y+1)= -y-1 YES
-(1-y) = -1+y NO