Answer:
As the result of our discriminant is negative, this quadratic equation will have two complex solutions.
Step-by-step explanation:
Recall that the formula for a discriminant is
From the given quadratic equation , we can gather the values of a, b, and c
Now, we can put these numbers into our discriminant formula
As the result of our discriminant is negative, this quadratic equation will have two complex solutions.
It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So,
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So,
= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer: The answer is: " 72 words per minute. "
___________________________
Step-by-step explanation:
___________________________
This is a "unit rate" problem.
We want to solve for/ find the number of words PER single minute.
___________________________
Given 48 words per (2/3) minute;
How many words per (one) minute?
__________________________
The answer is {48 ÷ (2/3) } words per minute:
Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:
Hence:
__________________________
The answer is {48 * (3/2) } words per minute:
__________________________
Write as:
" " ;
__________________________
The "48" can be changed to "24" ; and the "2" can be changed to "1" ;
→ {Since: "48 ÷ 2 = 24 "} ;
___________________________
And we have:
___________________________
" " ;
___________________________
The answer is: " 72 words per minute ."
___________________________
Hope this is helpful to you!
___________________________