Answer: B= 12 15
Step-by-step explanation:
The given ratios are
A) 2 3= 2: 3 already in its simplest form
B) 12 15 =12:15 Changing to its simplest form, we divide both by 3 giving us 4:5
C) 18 27 =18: 27 Changing to its simplest form, we divide both numbers by 9 giving us =2:3
D)6 9=6:9 Changing to its simplest form, we divide both by 3 giving us
2:3
Therefore the ratio not equivalent to other three is 12:15
Answer:
i^16 = 1
Step-by-step explanation:
i = √-1 = i
i^2 = i * i = (√-1)^2 = -1
i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i
i^4 = i^2 * i^2 = -1 * -1 = 1
the order keeps following......
i^16 = 1
since i^16 is same thing as i^4 * i^4
and we know i^4 = 1 so 1*1=1
In 8 years, you will have $1,573.29 thus $850-$1573.29 = $ <span>723.29 in interest</span>
Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ± 
( subtract 3 from both sides )
x = - 3 ±
Then
x = - 3 - ≈ - 6.74 ( to the nearest hundredth )
x = - 3 + ≈ 0.74 ( to the nearest hundredth )
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
