The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
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Answer:
Step-by-step explanation:
The central angle of the segment is 60 degrees. Line CD is the same length as the radius and there are 3 sides with the same length. The triangle so formed is equilateral and the apex angle is 60 degrees which is the central angle.
The measure of arc CD is 60 degrees.
Answer:
3.70% probability of the pointer landing on red each time
Step-by-step explanation:
For each time that the pointer is spun, there are only two possible outcomes. Either it lands on red, or it does not. The probability that it lands on red on a spin is independent of other spins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
12 sections, of which 4 are red.
This means that
The pointer on the spinner is spun 3 times.
This means that
What is the probability of the pointer landing on red each time?
This is P(X = 3).
3.70% probability of the pointer landing on red each time
the median of the scores now is:
60 , 63 , 65 , 65 ,67
Median = 65
if the score 30, the median would be
30, 60 , 63 , 65 , 65 ,67
Median: 63 +65 = 128/2 = 64
The Median drops by 1
Answer:
Step-by-step explanation:
Let the number be 'x'
Given:
Solving the quadratic equation:
The value of 'x' can be