The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a.
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2
So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2
Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
4x-t-4 is the final answer.
After resuming as the leader of the Ostrogoths, Theodoric in 493 killed his brother became Lord of the land, and refused to submit Italy to the Roman Emperor. According to history, it made no sense to him to continue to submit to an emperor in Rome that was far away and who didn't have any interest in Italy but to siphon it.
<h3>Who was Theodoric?</h3>
Also known as Theodoric the Great, or as Flavius Theodoricus, he was the King of the Ostrogoths.
Under the direction of the Roman Emperor - Zeno, he has invaded Italy and removed the incumbent King - Odoacer.
See the link below for more about Theodoric:
brainly.com/question/19569498
