Answer:
68% of the data is between 5.7 and 7.7 grams.
Step-by-step explanation:
According to the empirical rule for a normal distribution, 68% of data falls within one standard deviation, 95% of data falls within two standard deviation and 99.7% of data falls within three standard deviation.
Given that:
mean (μ) = 6.7 grams, standard deviation (σ) = 1 gram.
From the empirical rule:
68% of the data is between one standard deviation i.e μ ± σ = 6.7 ± 1 = 5.7, 7.7
Therefore 68% of the data is between 5.7 and 7.7 grams.
- Step-by-step explanation:
<em>7.48 = 748⁽⁴/100 = 187/25 = 7 12/25</em>
Given:
Rate of reduction : 85%
Remaining volume: 120 ml.
This means that 120 ml is equivalent to 15% of the original volume.
100% - 85% = 15%
120 ml ÷ 15% = 800 ml.
There was 800 ml of water before it was reduced.
800 ml * 85% = 680 ml ⇒ volume reduced
800 ml - 680 ml = 120 ml ⇒ volume left after reduction.
Answer:
(x) =
Step-by-step explanation:
let y = g(x) and rearrange making x the subject
y = x - 9 ( add 9 to both sides )
y + 9 = x
Multiply both sides by 5 to clear the fraction
5y + 45 = 3x ( divide both sides by 3 )
= x
Change y back into terms of x, thus
(x) =
Answer:
The answer is -1
Step-by-step explanation: