Answer:
y=-2x+19
Step-by-step explanation:
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m= .
Now we have,
m= 3-7/8-6
m=-2. Since m=-2, the equation is y=-2x+b.
To find b, think about what your (x,y) points mean:
(6,7). When x of the line is 6, y of the line must be 7.
(8,3). When x of the line is 8, y of the line must be 3.
Substitute them to the equation y=-2x+b.
You can use either (x,y) point you want..the answer will be the same:
(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.
(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.
So, the equation of the line that passes through the points
(6,7) and (8,3) is y=-2x+19.
Answer:
as written: 7x^2
perhaps intended: 7x^4
Step-by-step explanation:
As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...
___
Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...
21x^3/(3x^-1)
then the simplification is ...
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^b/a^c = a^(b-c)
The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%
<h3>What is Probability ?</h3>Probability is defined as the likeliness of an event to happen.
Let X be a random variable that shows the term "freshman 15" that claims that students typically gain 15lb during their freshman year at college.
It is given that
X follows is a normal distribution with a mean of 2.1 lb (μ) and a standard deviation (σ) of 10.8 lb.
Population Mean (μ) = 2.1
Population Standard Deviation (σ) = 10.8
We need to compute Pr(X≥15). The corresponding z-value needed to be computed is:
Then the probability is given as
Pr(X≥15)=0.1162. (11.6%)
The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%
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