6x + 2x - 1 = 5x + 11
8x - 1 = 5x + 11
- 5x - 5x
3x - 1 = 11
+ 1 + 1
3x = 12
3 3
x = 4
Answer:
60 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
79 add 41 is 120
180 minus 120 is 60
Answer:
8/9 will be left over
Step-by-step explanation:
3 7/9 + 5 1/3= 9 1/9
Now subtract the amount of paint needed by how much paint there is:
10- 9 1/9= 8/9
Therefore, 8/9 will be left over
Hope this helps
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
