<span>In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90
where z is the z-score
X is Vivian's score (940)
µ is the mean (850)
σ is the standard deviation (100)
As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations.
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18 </span>
Answer:
16
Step-by-step explanation:
first you get rid of the exponents and get
9+25-2×9
then you multiply and get
9+25-18
then you add And get
34-18
lastly you subtract to get your answer which is
16
It started at $37.
It went down $3.
37 - 3 = 34
It went up 1.
34 + 1 = 35
It went down 7.
35 - 7 = 28
It went up 4.
28 + 4 = 32
The price at the end of the day was $32.
Answer:
a.
b.
c. or
d. or
e.
Step-by-step explanation:
Expand
Open brackets
Collect Like Terms
Express 25 as 9 + 16
Factorize:
Expand
Open Brackets
Collect Like Terms
Factorize
Expand the expression in bracket
Factorize:
Factorize
The answer can be in this form of further expanded as follows:
Apply difference of two squares
Express as
Expand
The answer can be in this form of further expanded as follows:
Apply difference of two squares
Represent as squares
Apply difference of two squares
Represent as squares
Apply difference of two squares