Answer:
1. 2.19g + 0.59b + 1.49p
2. 6.57 + 1.77 + 2.98 = 11.32
-w+4(w+3)=-12
-w+4w+12=-12
3w=-12-12
3w=-24
w=-8
HOPE I HELPED!!!
Answer:
y = 6x + 5
Step-by-step explanation:
Given y = 6x then y = 6x +c is a vertical shift of y
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Here the shift is 5 units up , therefore
y = 6x + 5 ← is the transformed equation
Answer:
Organelle, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere.
Step-by-step explanation:
Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
