Answer:
A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.
Step-by-step explanation:
Given the expression;
![-6 (5g - 7h + 9 - 10g)](https://tex.z-dn.net/?f=%20-6%20%285g%20-%207h%20%2B%209%20-%2010g%29)
<em>Rearranging the above, we have;</em>
![-6 (5g - 10g - 7h + 9)](https://tex.z-dn.net/?f=%20-6%20%285g%20-%2010g%20-%207h%20%2B%209%29)
<em>Simplifying, we have;</em>
![-6 (-5g - 7h + 9)](https://tex.z-dn.net/?f=%20-6%20%28-5g%20-%207h%20%2B%209%29)
<em>Multiply, to open the bracket;</em>
![30g + 42h - 54](https://tex.z-dn.net/?f=%2030g%20%2B%2042h%20-%2054)
<em>Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54. </em>
16 fl oz and 500 ml would be the most accurate amounts described
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
Answer:
umm I think we need more information because it just like your giving us that but we don't know what to do with it.
Answer:
The probability that the sample mean would be greater than 77.21 WPM = 0.9945
Step-by-step explanation:
Mean number of Words per Minute = u = 81
Standard Deviation = s = 17
sample size = n = 130
Target value = x = 77.21
we can find the probability by converting <u>x</u> to z-score.
The formula for z-score = ![\frac{x-u}{\frac{s}{\sqrt{n} } }](https://tex.z-dn.net/?f=%5Cfrac%7Bx-u%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
using given values, z-score = ![\frac{77.21-81}{\frac{17}{\sqrt{130} } }](https://tex.z-dn.net/?f=%5Cfrac%7B77.21-81%7D%7B%5Cfrac%7B17%7D%7B%5Csqrt%7B130%7D%20%7D%20%7D)
=> -2.54
using the z table, we can find the find the probability of -2.54, that is 0.9945.
Therefore, the probability that the sample mean would be greater than 77.21 WPM = 0.9945