Answer:
5
Step-by-step explanation:
NOPE NOT AT ALL the line never goes through 0 on the x axis
Answer: survey research
Step-by-step explanation:
Roots are the same as zeros, and you find them by factoring and solving for y. This one is easiest if done by "taking roots" method. Let's move the 176 over to the other side and then divide both sides by 4 to get the x^2 alone. If we do that have we get x^2 = -44. But we know that we cannot take the square root of a negative number without accounting for it by using the imaginary "i". Since "i" is equal to -1, let's rewrite that [sqrt-44] as [sqrt(-1)(44)]. Now let's simplify the 44 by finding its perfect square hidden in there: [sqrt(-1)(4)(11)]. Now, because -1 = i^2, we can rewrite that as well like this:
[sqrt(i^2)(4)(11)]. Both the i^2 and the 4 are perfect squares so that's what we pull out, leaving the 11 inside for an answer of x = +/- 2i[sqrt(11)]
Answer:
9) 1/42
10) 1/14
Step-by-step explanation:
The probability of the compound event is the product of the probabilities of the parts. Note that the first draw (without replacement) modifies the probability of associated with the second draw.
<h3>9.</h3>
5 is one of 7 tiles. After drawing 5, 6 is one of 6 tiles.
P(5 then 6) = P(5) × P(6 | 5) = 1/7 × 1/6 = 1/42
<h3>10.</h3>
There are 3 odd tiles among the 7. After drawing one of them, 20 is one of 6 tiles.
P(odd then 20) = P(odd) × P(20 | odd) = 3/7 × 1/6 = 3/42 = 1/14
_____
Alternatively, you can consider the number of permutations of 2 tiles out of 7. That is P(7, 2) = 7!/(7-2)! = 7·6 = 42. Then the trick is to count how many of them will be the sequence of interest.
5 then 6: Among the 42 ways 2 tiles can be drawn, there is only one that is the required sequence: P(5,6) = 1/42.
odd then 20: There are 3 odd numbers, so the possible sequences of interest are (5,20), (7,20), (9,20). That is, there are 3 of 42 sequential draws that match the criteria. P(odd,20) = 3/42 = 1/14.
