A physicist discovers an element whose atom has a mass of 0.00000000000000112 grams. He makes an entry in his journal and writes
2 answers:
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SOLUTION
From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.
This means the probability of selecting t and r.
That is
There are 12 letters (total outcomes). And there are 2r and 2t.
So probability becomes
Hence the answer is
The 85th percentile is the cutoff time 
such that
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
percentile is the top 
of the distribution.
Anyway, to find this value of, transform 
to a random variable 
with the standard normal distribution using
where
is the mean of and 
is the standard deviation of .
Here
is used to denote the z-score corresponding to the cutoff time . Referring to a z-score table, you find that this occurs for 
. So,
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
Anyway, to find this value of
where
Here
Answer:
The equations in the slope-intercept form
y = - 2 x + 5
y = - 2 x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line.
- b is the y-intercept.
To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.
Let us do that with the given equations
∵ 2x + y = 5
→ Subtract 2x from both sides to move x to the right sides
∴ 2x - 2x + y = 5 - 2x
∴ y = 5 - 2x
→ Switch 5 and - 2x
∴ y = - 2x + 5
∵ 3y = 9 - 6x
→ Divide each term by 3 to make the coefficient of y = 1
∴
∴ y = 3 - 2x
→ Switch 3 and - 2x
∴ y = - 2x + 3
The equations in the slope-intercept form
y = - 2x + 5
y = - 2x + 3