Leonardo is running the 100 meter dash at his school’s track meet. After 78 meters, his right shoe falls off! He can’t stop to p
2 answers:
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Answer:
The average contents of all bottles of juice in the population
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 473 mL
Sample mean, = 472 mL
Sample size, n = 30
Sample standard deviation, s = 0.2
First, we design the null and the alternate hypothesis
Representation of
- It is the population parameter for mean.
- Thus, it represents the average contents of all bottles of juice in the population, which is 473 mL.
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and
is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!