ANSWER
l
Or
Or
EXPLANATION
The given line has slope,
and
We can find the equation in the point slope form, which is given by,
We substitute the point and slope to get,
We can also simplify further to get,
We make y the subject to get,
This is called the slope intercept form.
We could also write in standard form to get
Or
Answer:
we reject H₀
Step-by-step explanation: Se annex
The test is one tail-test (greater than)
Using α = 0,05 (critical value ) from z- table we get
z(c) = 1,64
And Test hypothesis is:
H₀ Null hypothesis μ = μ₀
Hₐ Alternate hypothesis μ > μ₀
Which we need to compare with z(s) = 2,19 (from problem statement)
The annex shows z(c), z(s), rejection and acceptance regions, and as we can see z(s) > z(c) and it is in the rejection region
So base on our drawing we will reject H₀
Answer:
288
Step-by-step explanation:
multiply the length value by 36
Answer:
70 cabinets in method 1 and 24 cabinets in method 2.
Step-by-step explanation:
Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.
Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.
If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then
x + 1.5y = 106 ...... (1) and
6x + 4y = 516 ....... (2)
Now, solving equations (1) and (2), we get
6 (106 - 1.5y) + 4y = 516
⇒ 5y = 636 - 516
⇒ y = 24 cabinets
From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)