Find the probability. Round your answer to the nearest hundredth, if needed.
1 answer:
Answer:
0.2
Step-by-step explanation:
Given:
Total number of students = 20
Number of students who have brown hair = 12
Number of students who have blonde hair = 4
Number of students who have red hair = 3
Number of students who have black hair = 1
To find:
Probability of randomly selecting a blonde-haired student from the classroom.
Solution:
Probability refers to chances of occurring of some event.
Probability = Number of favourable outcomes/ Total number of outcomes
Number of favourable outcomes ( Number of students who have blonde hair ) = 4
Total number of outcomes = 20
So,
Probability of randomly selecting a blonde haired student from the classroom =
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Answer:
Given the equation:
A quadratic equation is in the form: where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;
Simplify:
Also, it is given that the difference of two roots of the given equation is
i.e,
Here,
, ......[2]
.....[3]
then;
simplify:
or
Squaring both sides we get;
Subtract 100 from both sides, we get
Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve
or
or
Simplify:
Now, to solve for ;
or
or
Simplify:
therefore, the solution for the given equation is: and -2.
Answer: second option
Step-by-step explanation:
The standard form of a quadratic equation is:
Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:
Given the quadratic equation above, to find the value of you must substitute:
a=2; b=5 and c=-1 into
Thenrefore, you obtain the following result: