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
Answer:

Step-by-step explanation:
Given

Required
Solve for x = -5
This implies that we substitute -5 for x in 

Open all brackets


Absolute value of 36 is 36; Wo, we have:



A shape with 4 equal sides.
Answer:
Step-by-step explanation:
Its like doing a long division with base 10 numbers:
1110 <----------- Quotient
101)1001010
101
1000
101
111
101
100
So the answer is 1110 remainder 100.
We can confirm this by converting to decimal numbers
1001010 = 74 and 101 = 5.
74 / 5 = 14 remainder 4.
Answer:
21.6 or 22
Step-by-step explanation:
Triangles have same angles. This means that they are proportion.
50/27 = 40/x
when you cross multiply to solve x, 50x = 1080
so x = 21.6
If you have to nearest whole number, it will be 22