1. 3y
multiplying 3 and y together gets 3y
2. y-5
5 less implies that we subtract 5 from y
3. y+7
adding 7 to y, self-explanatory
4. 9y
same thing as #1
5.
quotient of implies division, since number y is listed first, y is the numerator
Determine which equation is parallel to the line JK and which is perpendicular to like JK
2 answers:
Answer:
If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and will be perpendicular to that.
Step-by-step explanation:
Let us assume that the line JK has the equation in slope-intercept form as
y = mx + c ............. (1)
Therefore, the equation has slope = m
Now, any straight line having an equation with slope m will be parallel to line JK.
So, the equation of the straight line which is parallel to equation (1) will be
y = mx + c', where, c' is any real constant.
Now, let us assume that another straight line having equation
y = nx + a is perpendicular to the line JK i.e. equation (1).
Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.
So, mn = - 1
⇒
Therefore, the equation of a straight line which is perpendicular to equation (1) will be where b is any real constant. (Answer)
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Answer:
We accept the alternate hypothesis. We conclude that the mean lifetime of tires is is less than 33,000 miles.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 33,000 miles
Sample mean, = 32, 450 miles
Sample size, n = 18
Alpha, α = 0.05
Sample standard deviation, s = 1200 miles
a) First, we design the null and the alternate hypothesis
b) Level of significance:
c) We use One-tailed t test to perform this hypothesis.
d) Formula:
Putting all the values, we have
Now,
Rejection area:
Since,
e) We fail to accept the null hypothesis and reject it as the calculated value of t lies in the rejection area.
f) We accept the alternate hypothesis. We conclude that the mean lifetime of tires is is less than 33,000 miles.