Answer:
Multiply vector c by the scalar -1/2.
Step-by-step explanation:
Look at vector c.
It has an x component of 4 and a y component of 4.
You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).
c = 4i + 4j
Now look at vector d, and write it also as a sum of its x and y components.
d = -2i - 2j
Now ask yourself, what operation do I do to 4 to end up with -2?
One answer is to multiply 4 by -1/2.
d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j
That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.
P3(4) = p12 them p12 * p8 = P160 (false)
Answer:
y=58x+460
Step-by-step explanation:
y=mx+b
We are given m=58 so we have
y=58x+b
We are given (-8,-4) is a point on the line.
-4=58(-8)+b
-4=-464+b
460=b
So the line in slope intercept form is y=58x+460
Answer:72 ounces
Step-by-step explanation:
The correct answer is 72 ounces. In order to reach this answer you need to multiply 80 times .9, which equals 72.
Answer:
190
Step-by-step explanation:
Data provided in the question:
Confidence level = 99%
Therefore,
α = 1% = 0.01
[ from standard normal table ]
z-value for 
= 2.58
Margin of error, E = $0.06
Standard deviation, σ = $0.32
Now,
n = 
Here,
n is the sample size (or the minimum number of gas stations )
on substituting the respective values, we get
=
= 
= 13.76²
= 189.3376 ≈ 190
Hence,
minimum number of gas stations that she should include in her sample is 190
