Answer:
Step-by-step explanation:
The record of the statistics and the summary statistics which are the missing files in the question are attached below.
From the given information:
The null hypothesis and the alternative hypothesis can be represented by :
There is no difference between the average time spend by men and women at gym each week
The average time spend by men is greater than the average time spend by women at the gym each week
From the summary statistics in the attached file below:
The p-value = 0.3253
Level of significance = 5% = 0.05
Therefore; it is obvious that the p-value is greater than the level of significance i.e (0.3253 > 0.05)
Hence; there is no enough evidence to reject the null hypothesis
CONCLUSION: We conclude that the mean number of minutes exercised per week is larger for men than women at the this gym.
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
Heat and sound energy
Step-by-step explanation:
It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.
Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.
Answer:
D. (14x-4)/(8x^2) and (x^2-x)/(8x^2)
Step-by-step explanation:
The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.
