By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
<h3>How to find the roots of a quadratic equation </h3>
All <em>quadratic</em> equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the <em>quadratic</em> formula:
(1)
If we know that a = 2, b = - 4 and c = - 3, then the roots of the <em>quadratic</em> equations are:
By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
To learn more on quadratic equations: brainly.com/question/2263981
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50 miles = 1 hour
50 x 1 = 50
a. 50 miles x 2 hours = 100 miles
b. 50 miles x 4.3 hours = 215 miles
c. Converting minutes to hours, it would make 20 minutes become 0.333 hours.
50 x 0.333 = 16.65 miles
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth