Answer:
0.0869
Step-by-step explanation:
The arc electronic company had an income of 90 million dollars last year.
Mean(μ) = 75 million dollars
Standard deviation (σ) = 11 million dollars
Probability that the randomly selected will earn more than arc did last year = Pr(x>90)
Using normal distribution,
Z = (x - μ) / σ
Z = (90 - 75) / 11
Z = 15/11
Z = 1.36
From the normal distribution table, 1.36 = 0.4131
Φ(z) = 0.4131
Recall that when Z is positive, Pr(x>a) = 0.5 - Φ(z)
= 0.5 - 0.4131
= 0.0869
Answer:
64 : 343
Step-by-step explanation:
When working with scale factors
Lengths are related by the scale factor
perimeters are related by the scale factor
areas are related by the scale factor squared
volumes are related by the scale factor cubed
The scale factor is 4:7
The volumes are related by 4^3 : 7^3
64 : 343
Answer:
c. 9 det A
Step-by-step explanation:
Given the following data;
Since A is a square matrix of order 2, we know that n = 2
K = 3
For any scalar k;
∣kA∣ = k^{n} ∣A∣
<em>Substituting into the equation;</em>
∣-3A∣ = -3²∣A∣
Simplifying, we have;
∣-3A∣ = 9∣A∣
= 9 detA
<em>Therefore, det (-3A) = 9 detA</em>
