What is the discriminate of the equation 2x+5x^2=1?
1 answer:
Answer:
24
Step-by-step explanation:
First we must recognize that this equation is a quadratic function, therefore we can use the quadratic equation and look only at the discriminate portion of that formula. However, before doing so we need to set up our equation by taking the 1 to the other side and so:
And we know that in general a quadratic function is such that:
And so our quadratic equation is:
But we only need to look at what's under the square root meaning:
This is our discriminant and since a=5, b=2 and c=-1 we have:
You might be interested in
Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:
What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So
has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79