The nature of the solutions/roots of a quadratic function can be determined from its discriminant.
The discriminant of a quadratic function can be calculated as:
Discriminant = b² - 4ac
Here,
a = coefficient of squared term = -5
b = coefficient of x term = 8
c = constant = - 7
So, the discriminant will be:
Discriminant = 64 - 4(-5)(-7) = - 76
The value of the discriminant is negative. This shows that the given quadratic function has no real solution.
The probability that a person will take longer than 21 days to pass it is 0.12
<u>Explanation:</u>
Given:
Mean time, μ = 14 days
Standard deviation, ρ = 6 days
Let x be the time to pass the kidney stones.
Probability that a person will take longer than 21 days to pass it.
We need to find z score first
Z score =
Z score =
= 1.166
Probability that a person will take longer than 21 days to pass it = P(x > Z)
= P(x > 1.16)
= 0.12
Therefore, the probability that a person will take longer than 21 days to pass it is 0.12
4 Quarters= 1 Dollar
4 Quarters=1 Dollar
1 Quarter=25 cents
7 nickels=35 cents
$2.60
Erin has 9 Quarters and 7 Nickels
Answer:
D No, the integer with the larger absolute value always determines the sign of the sum.
Step-by-step explanation:
Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)
7 books
Because
30-2 is 28
28/4 is 7
With no left over money