Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
Answer:
The 1st graph will be perfectly matching the conditions.
Step-by-step explanation:
A wholesaler requires a minimum of 4 items in each order from its retail customers.
The manager of one retail store is considering ordering a certain number of sofas, x and a certain number of pillows that come in pairs, y.
Therefore, for y = 0, x ≥ 4 and for x = 0, y ≥ 2 to make the order of 4 items or more.
Therefore, the equation for the order to be of 4 items will be
x + 2y = 4.
So, the 1st graph will be perfectly matching the conditions. (Answer)
Answer:
69.50%
Step-by-step explanation:
Given:
Ayrshire cows:
E(X) =μ = 47
SD(X) = σ = 6 Var (X) = 6^2 = 36
Jersey cows:
E(Y) = μ = 43
SD(Y) = σ = 5 Var(Y) = 52 = 25
Properties mean, variance and standard deviation:
E(X +Y) = E(X) E(Y)
V ar(X +Y) = Var(X) + Var(Y)
SD(X +Y) = √Var(X)+Var(Y)
X — Y represents the difference between Ayrshire and Jersey cows.
E(X — Y) = E(X) — E(Y). 47 — 43 = 4
SD(X — Y) = √Var(X)+ Var(Y) =√36+ 25 = √61 = 7.8102
The z-score is the value decreased by the mean, divided by the standard deviation:
z = x-μ /σ = 0-4/ 7.8102 = -0.51
Determine the corresponding probability using table Z in appendix F.
P(X—Y 
0) = P(Z > —0.51) = 1—P(Z < —0.51) = 1-0.3050 = 0.6950 = 69.50%
69 cm is one standard deviation below the mean
<span>for a normally distributed (bell curve) population </span>
<span>___ about 68% lie within one standard deviation of the mean ___ 34% above and 34% below </span>
<span>in this case , the 34% below the mean is added to the 50% above the mean (the 1/2 of the population equal to or longer than 79 cm) </span>
<span>so 84% of the population is longer than 69 cm</span>
∠A=36° ∠B=67° measures of a=8
in a Δ sum of all angles are 180
∠A+∠B+∠C=180
36+67+∠C=180
∠C=77
Now use law of sines
a/sinA=b/sinB=c/sinC
8/sin36=b/sin67
now u can find B and C
