Answer:
y = -4x - 7
Step-by-step explanation:
y = mx + b
parallel lines have the same slope m, which in this case is -4
y = -4x + b
now plug in the desired included point to find the y intercept
1 = -4(-2) + b
1 = 8 + b
b = -7
Answer:
the probability is P=0.012 (1.2%)
Step-by-step explanation:
for the random variable X= weight of checked-in luggage, then if X is approximately normal . then the random variable X₂ = weight of N checked-in luggage = ∑ Xi , distributes normally according to the central limit theorem.
Its expected value will be:
μ₂ = ∑ E(Xi) = N*E(Xi) = 121 seats * 68 lbs/seat = 8228 lbs
for N= 121 seats and E(Xi) = 68 lbs/person* 1 person/seat = 68 lbs/seat
the variance will be
σ₂² = ∑ σ² (Xi)= N*σ²(Xi) → σ₂ = σ *√N = 11 lbs/seat *√121 seats = 121 Lbs
then the standard random variable Z
Z= (X₂- μ₂)/σ₂ =
Zlimit= (8500 Lbs - 8228 lbs)/121 Lbs = 2.248
P(Z > 2.248) = 1- P(Z ≤ 2.248) = 1 - 0.988 = 0.012
P(Z > 2.248)= 0.012
then the probability that on a randomly selected full flight, the checked-in luggage capacity will be exceeded is P(Z > 2.248)= 0.012 (1.2%)
Answer:
x=3
Step-by-step explanation:
Because it is equilateral, all the sides are equal. so you can make your equation
3(2x-3)=21
Distribute the 3 throughout, giving you 6x-3=21
Subtract the 3 from both sides, and you are left with 6x=18
Divide 18 by 6 and you get 3.
Add all the numbers together
Answer:
<em>m</em> = undef
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 2)
Point (3, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Simplify: <em>m</em> = undef
