Answer:
The z-score for this kernel is -2.3
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The popping-times of the kernels in a certain brand of microwave
popcorn are normally distributed
- The mean is 150 seconds
- The standard deviation is 10 seconds
- The first kernel pops is 127 seconds
- We want to find the z-score for this kernel
∵ z-score = (x - μ)/σ
∵ x = 127
∵ μ = 150
∵ σ = 10
∴ z-score = (127 - 150)/10 = -23/10 = -2.3
* The z-score for this kernel is -2.3
Mass = density* volume
since density= mass/volume then mass/volume*volume=mass
= 4.5*0.4 = 1.80g
You would have to solve this by Lxwxh.
25.4*19.05*76.2= 36870.89 centimeters
1 in= 2.54 centimeters
36870.89 centimeters*1 in/2.54 centimeters= 14516.09843 inches.
I hope this is helpful :)
Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75