Answer:
i. <DCB = 
ii. Sin of <DCB = 0.8
Step-by-step explanation:
Let <DCB be represented by θ, so that;
Sin θ = 
Thus from the given diagram, we have;
Sin θ = 
= 0.8
This implies that,
θ = 
0.8
= 53.1301
θ =
Therefore, <DCB = .
So that,
Sin of <DCB = Sin
= 0.8
Sin of <DCB = 0.8
for the red it is 5out of 15 or 3/5
and for the blue it is 4/15
and if it wants it together it is 9/15 or 3/5
hope this helps
Given:
z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3
Solution:
X ~ N (8, 3)
For day 1, n = 5
P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z <
=2.23) = 0.987126
For day 1, n = 6
P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z <
=2.45) = 0.992857
For both days:
P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) =
0.9801
Answer:
x ≥ 8
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-36x - 24 ≤ -6(5x + 12)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -6: -36x - 24 ≤ -30x - 72
- Add 36 on both sides: -24 ≤ 6x - 72
- Add 72 on both sides: 48 ≤ 6x
- Divide both sides by 6: 8 ≤ x
- Rewrite: x ≥ 8
Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.
