Answer:
a) Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
b) If the true mean is 190 days, Type II error can be made.
Step-by-step explanation:
Let mu be the mean life of the batteries of the company when it is used in a wireless mouse
Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.
That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.
Answer:
$5
Step-by-step explanation:
Let the number of students be x, then
<u>Initial amount per student was:</u>
<u>After it becomes:</u>
<u>Since amount increased after, it can be shown as:</u>
<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>
- 100(x-5) + x(x - 5) = 100x
- 100x - 500 + x² - 5x - 100x = 0
- x² - 5x - 500 = 0
<u>Positive solution of this quadratic equation is </u>
<u>Amount each person paid after:</u>
Sec x and cot x are the reciprocals of cos x and tan x respectively.
So, for example, cos x = adj / hyp, so sec x = hyp / adj
The last choice is the correct one because tan x = opp / adj so cot = adj / opp.
Answer:200 pages
Step-by-step explanation:
1400 pages divided by 7 days = 200 pages per day
1400/7= 200