The exact value for the equation is true but I don't really think that's the question so anyways...
- 15.) The exact form for this equation is -13pi/3 and the decimal form -13.613...
- 16.) The exact form for this equation is 23pi/4 and the decimal form 18/064...
- 17.) The exact form is -7pi/2 as the decimal is -10.995...
- 18.) The exact is -29pi/6 and the decimal is -15.184...
Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation:
Answer:
16 and 40
Step-by-step explanation:
Greater than 8,
The highest common factor is 8, the lowest common multiple is 80.
So, the two numbers are greater than 8, divisible by 8 ( highest common factor.)
The two numbers are 16 and 40.
Hope this helps plz mark brainliest :D
Answer:
-2
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope
Parallel lines have the same slope
----------------------------
y = -2x + 5
is in slope intercept form
the slope, m = -2
The slope of the parallel ine will be the same
m = -2