Answer:
Step-by-step explanation:
1. 1.67e-27
2.910938291e-31
Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,
<h3>What is quadratic equation?</h3>
Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.
<h3>What is discriminant?</h3>
A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.
<h3>According to the given information:</h3>
0.5x^2 + 4x + 8 = 0
The discriminant is computed utilizing:
d = b^2 - 4ac
Thus, we have:
d = 4^2 - 4 * 0.5 * 8
Evaluate
d = 0
The equation has only one real root since the discriminant is 0,
To know more about discriminant visit:
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Answer:
1st graph.
Step-by-step explanation:
The function y = -x² + 5, reflects the 1st graphic.
Reasoning:
- If we make x equal to 0, y=5, it meas the parabole crosses y-axis at 5.
- In every quadratic function, if the value of x is negative, the parabole goes downwards.
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
![\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D%261%262%263%264%265%266%5C%5C--%26--%26--%26--%26--%26--%26--%5C%5C1%5C%3B%7C%261%262%263%264%265%266%5C%5C2%5C%3B%7C%262%262%263%264%265%266%5C%5C3%5C%3B%7C%263%263%263%264%265%266%5C%5C4%5C%3B%7C%264%264%264%264%265%266%5C%5C5%5C%3B%7C%265%265%265%265%265%266%5C%5C6%5C%3B%7C%266%266%266%266%266%266%5Cend%7Barray%7D%5Cright%5D)
From this table we can compute the probabilities
:
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722
Answer: 35
Step-by-step-explanation:
There are 20 numbers. So, it would be 7 divided by 20. Which is 0.35. And 0.35 multiply by 100 is 35.
