Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - =
product of roots = = - 3, then
sum of new roots = +
=
= = -
product of new roots = ×
= = -
Hence the required equation is
x² + x -
= 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Answer:
Mean = 0, Standard deviation = 1
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 77.5 beats per minute
Standard Deviation, σ = 11.6 beats per minute
We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.
Formula:
Putting the values, we get,
After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.
Mean = 0, Standard deviation = 1
Answer:
Patrick walk approximately <u>112 yards</u>.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:
Therefore, Patrick walk approximately 112 yards.