Determine the nature of the roots: 4x^2 + 32x + 64 = 0
2 answers:
Answer:
b. a unique real solution
Step-by-step explanation:
A quadratic equation ax² + bx + c = 0 ,
Has two distinct real roots,
If discriminant,
Has two equal real roots,
If D = 0,
Has two imaginary roots or no real roots,
if D < 1,
Here. the given qudratic equation,
By comparing,
a = 4, b = 32, c = 64,
Hence, the equation has two equal real roots or a unique real solution.
i.e. OPTION 'b' is correct.
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Answer:
And the deviation is given by this formula:
And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :
Step-by-step explanation:
Assuming the data on the figure attached. We ar assuming that this is a sampling distribution of sample proportions of heads in 40 flips of a coin.
As we can see we have the following values:
0.25, 0.35, 0.375,0.375, 0.40,0.40,0.40, 0.425,0.425,0.425, 0.45,0.45,0.45,0.45, 0.475,0.475,0.475, 0.475,0.475, 0.50,0.50,0.50, 0.525,0.525,0.525,0.525, 0.55,0.55,0.55,0.55,0.55, 0.575,0.575,0.575 0.575, 0.575, 0.60,0.60, 0.65,0.65
And we can calculate the sample proportion with the following formula:
And the deviation is given by this formula:
And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :
