Answer:
102° and 78°
Step-by-step explanation:
let one angle be x then the other angle is
x + 10 ( 10 more than two-thirds the other angle )
A linear pair of angles sum to 180°, hence
x + x + 10 = 180
x + 10 = 180 ( subtract 10 from both sides )
x = 170
multiply both sides by 3 and divide by 5
5x = 510
x = 102
The 2 angles are x = 102° and
x + 10 =
× 102 + 10 = 68 + 10 = 78°
As a check : 102 + 78 = 180 → correct
Answer:
The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099
Step-by-step explanation:
A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of 8 dollars.
Standard deviation =
We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)
At x = 104.60
Z= 2.2
At x=108.20
Z= 2.65
Refer the z table for p value :
P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099
Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099