Answer: There were 32 teachers.
Step-by-step explanation:
(215 - 23)/6 = amount of teachers
215 - 23 = 192
192/6 = 32
Answer:
t = 17.5
f = 12
Step-by-step explanation:
interior corner angles in a square = 90 degrees
4t + 20 = 90
4t = 90 - 20
4t = 70
t = 17.5
7f + 6 = 90
7f = 90 - 6
7f = 84
f = 12
Answer:
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
Step-by-step explanation:
Alpha, α = 0.05
We conduct a hypothesis test at 5% significance level.
The null hypothesis will be rejected when
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
- When a 95% confidence interval is constructed,it contains all the possible values for the parameter being estimated.
- If the value of the parameter stated in the null hypothesis is contained in the 95% confidence interval, then we fail to reject the null hypothesis 0.05 level and accept it.
- If the value stated in the null hypothesis is not in the interval, then we fail to accept the null hypothesis and reject the null hypothesis at the 0.05 level.
Answer: Initial value of car = $ 27500
And, the value of car after 13 years is $5219.242
Step-by-step explanation:
Here, the given function that models the price of car after t years,
Since, initially, t = 0
Thus, the initial value of the car,
Now, after 13 years, t = 13
Thus, the value of car after 13 years,
=
=
<u>Answer- </u>
The directional derivative of f(x,y) at (0,6) in the direction θ = 2π/3 is, 7.73
<u>Solution-</u>
The unit vector in the direction of the given angle is
Given that,
Gradient of f(x,y)
Gradient of f(x,y) at (0,6)
= <(-2)(6)(1) , (2)(1)> = <-12 , 2>
The directional derivative of f(x,y) at (0,6) is