Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
Answer:
$24166.67
Step-by-step explanation:
$25 per hour and works 35 hours per week
Norma Jean makes 35 * 25 (<em>without sales) = </em>$875
<em> </em>Total commission made by Norma<em> </em>= 4500-875 = $3625
<em>let total number of sales by Norma be x</em>
15% is the same as 15/100
<em>so </em>(15/100) * x =3625 <em> multiplying both sides by 100</em>
15x = 362500<em> making x subject of formula</em>
x = 362500/15
x = 24 166.67
Norma should sell total items worth $24166.67
Answer:
0.33= 33/100
<h2>Hope it helps...</h2>
An equivalent expression would be 6(8x - 5)