Apparently the questionnaire is incomplete, then the first part necessary to solve the question is left
The average daily volume of a computer stock in 2011 was
muμequals=35.135.1
million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of
3030
trading days in 2014, he finds the sample mean to be
30.330.3
million shares, with a standard deviation of
sequals=12.612.6
million shares. Test the hypotheses by constructing a
9595%
confidence interval. Complete parts (a) through (c) below.
Answer: however, with the given options we can say that the correct option is "B", in which the value of the confidence interval is necessary to accept or reject the null hypothesis, we deduce that the value is not in the confidence interval so it must be rejected
Answer: 0, π, 2π
Nevertheless, that is not an option. I see two possibilities: 1) the options are misswirtten, 2) the domain is not well defined.
If the domain were 0 ≤ θ < 2π, then 2π were excluded of the domain ant the answer would be 0, π.
Explanation:
1) The first solution, θ = 0 is trivial:
sin (0) - tan (0) = 0
0 - 0 = 0
2) For other solutions, work the expression:
sin(θ) + tan (-θ) = 0 ← given
sin (θ) - tan(θ) = 0 ← tan (-θ) = tan(θ)
sin(θ) - sin (θ) / cos(θ) = 0 ← tan(θ) = sin(θ) / cos(θ)
sin (θ) [1 - 1/cos(θ)] = 0 ← common factor sin(θ)
⇒ Any of the two factors can be 0
⇒ sin (θ) = 0 or (1 - 1 / cos(θ) = 0,
sin(θ) = 0 ⇒ θ = 0, π, 2π
1 - 1/cos(θ) = 0 ⇒ 1/cos(θ) = 1 ⇒ cos(θ) = 1 ⇒ θ = 0, 2π
⇒ Solutions are 0, π, and 2π
In fact if you test with any of those values the equation is checked. The only way to exclude one of those solutions is changing the domain.
Answer:
-15
Step-by-step explanation:
x=5
Step-by-step explanation:
the mean value is the sum of all values divided by how many values there are.
so,
(3 + -5 + 70 + -90 + -13) / 5 = -35/5 = -7
-7° F is the mean temperature of the 5 cities.
The formula is y=0.5m+20
You start (0,20) then for each mile you increase by 0.5.
Or
Since the x axis is by two, then every two miles you increase by 1 mile. So (0,20); (2,21); (4,22); (6,23); (8,24).
