The z-score is the number of standard deviations away from the mean. We first subtract the actual score from the mean, then divide the difference by the standard deviation. In this case, our actual score is 13, so we subtract from the mean of 16, then divide by the SD of 2
(13 - 16) / 2 = -1.5
Answer:
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Step-by-step explanation:
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That would be 6/1 which equals to 6 ~Eos
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
