0.8 x 103 because the first number cant be less then 1 or more then 9 you would have to move the decimal to make the equation correct
magnitude = sqrt(6^2+4^2)
= sqrt ( 36+16)
=sqrt (52) = 7.2
angle = tan^-1(6/4) = 56 degrees
Answer:
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
It's difficult to make out, but I think the task is to expand
Write the number in polar form first:
By DeMoivre's theorem, you have
and converting back to Cartesian form, this number is equivalent to
Answer: 4/7 > 8/16
Step-by-step explanation:
Draw each fraction on a fraction bar (similar to a Hersey's Bar each fraction bar being the same length just broken up differently to represent each fraction) and you will see that 4/7 is bigger than 8/16.
