Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.
<h3>What is quadratic equation?</h3>
A quadratic equation is the equation in which the highest power of the variable is two.
Here, The first few steps in deriving the quadratic formula are shown in the table.
Use the substitution property of equality to solve it further,
-c=-ax² +bx
Now factor out the term a, to solve further as,
- c = a (x² + b/a x)
for half of the b value and square it to determine the constant of the perfect square trinomial as,
(b/2a)² = b²/4a²
Now the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
-c + b²/4a² = a(x² + b/a x + b²/4a² )
Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
Learn more about Quadratic equation from:
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Answer:
0.85% probability that the first two are good and the last three are spoiled
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
2 spoiled, from a set of 43-11 = 32.
3 spoiled, from a set of 11.
So
Total outcomes:
5 jugs from a set of 43.
Probability:
0.85% probability that the first two are good and the last three are spoiled
Answer:
h=2/ab
Step-by-step explanation:
