This can be solved by using the binomial distribution. The probability of guessing correctly is 0.5, and the probability of making a wrong guess is also 0.5.
$P(6\ correct)=10C6\times(\frac{1}{2})^{6}\times(\frac{1}{2})^{4}=\frac{210}{1024}=0.205$

5 0

2 years ago

What does Descartes's Rule of Signs tell you about the real roots of the polynomial? –2x3 + 3x2 – 5x – 2 = 0 a. There is one pos

Over [174]

The count the number of times the sign changes
that is how many positive roots there are
if you get a number that is ≥2, then count down by 2's ending at 0

sub -x for x and evaluate
count change in sign again
that is how many negative roots there are
if you get a number that is ≥2, then count down by 2's ending at 0

so

-2x^3+3x^2-5x-2=0
-,+,-,-
1 2
2 or 0 positive roots

x to -x
2x^3+3x^2+5x-2=0
+,+,+,-
1
1 negative root

2 or 0 positive roots and 1 negative root

D is answer

7 0

2 years ago