Answer:
Step-by-step explanation:
Given
Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)
Collect Like Terms
Solve for x
Substitute 5 for x in
You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doub
2 answers:
You might be interested in
True statements:
The domain of h(x) is the set of all real numbers.
The range of h(x) is the set of all real numbers
Step-by-step explanation:
The function given in this problem is
Now let's analyze the statements given:
- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.
- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as , then
, and as
, then
, and since there are no points of discontinuity in the function, this means that it can take any value of y.
For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.
The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.
The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when , the value of the function is
which is different from 4.
Learn more about domain and range:
#LearnwithBrainly
Answer:
The p value for a left tailed test would be:
Since the p value is very higher we can conclude that the true proportion of teenagers who floss twice a day is NOT less than 40%.
Step-by-step explanation:
Information given
n=400 represent the random sample given
X=149 represent the floss twice a day
estimated proportion of floss twice a day
is the value the proportion that we want to check
z would represent the statistic
represent the p value
System of hypothesis
We want to check proportion of teenagers who floss twice a day is less than 40%, so then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
For the one sample proportion test the statistic is given by:
(1)
If we replace the info given we got:
The p value for a left tailed test would be:
Since the p value is very higher we can conclude that the true proportion of teenagers who floss twice a day is NOT less than 40%.