10^6 = 1,000,000
10^2 = 100
1,000,000 / 100 = 10,000
so 8.76x10^6 is 10,000 times greater than
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
We can subtract the sum of the two trinomials by one of the trinomials.
(7x²-5x+4)-(3x²+2x-1)
Let's look at each part.
7x²-3x²=4x²
-5x-2x=-7x
4-(-1)=5
So, the trinomial should look like:
4x²-7x+5
So, C. 4x²-7x+5 is the other trinomial.
The answer is C. Identify property of addition
Answer:
Step-by-step explanation:
angle A = 40
angle B = 60
angle C = we don't know.
A + B + C = 180
C = 180 - A - B
C = 180 - 40 - 60
C = 80
40 + 60 + 80 = 180
180 = 180...It checks!