Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:

Let's plug in what we know.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
Answer:
y(0) = 0.25 feet


Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =

where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0

y(0) = 0.25 feet
2) t = 


3) t = 


The negative sign indicates the opposite direction of displacement.
The answer is: Yes 10-2x is less than 10, x= -5
Answer:
0.01 is alpha level
Step-by-step explanation:
Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.
i.e. p = proportion of people who like chocolate pie = 0.12
Margin of error = ±0.03
The value of q =1-\hat p , =1-0.12 = 0.88
The sample size n is given as 1500. Therefore, n=1500
The confidence level is given as 99%
Hence alpha = 1- confidence level
=1-0.99=0.01
Hence answer is 0.01