An hour is 60mins or 1 rotation
so
the hand moves 35/60 of the circumference of the clock
so
c=2pir
r=length of hand=7
c=2pi7
c=14pi
then, we have 35 out of 60 mins or 35/60=7/12
7/12 times 14pi=98pi/12=49pi/6≈25.66 inches
Answer:
4. 54- 8.5x>20
Step-by-step explanation:
Catherine only has $54, so she cannot spend more than that.
The canvas will cost at least $20, but we don't know how much exactly.
The tubes cost $8.50 each.
So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.
So, we transpose those facts into the inequity:
54 - 8.5x > 20
Answer:
For this particular case they are interested on the amount of weight gained by randomly selecting some students, we need to remember that the weight can't be a discrete random variable since this random variable can take values on a specified interval and with decimals, so for this case the best conclusion is that we have a continuous data set.
Step-by-step explanation:
Previous concepts
We need to remember that continuous random variable mans that the values are specified over an interval in the domain, so is possible to have decimal values for the possible outcomes of the random variable.
By the other hand a discrete random variable only can take integers for the possible outcomes of the random variable over the specified domain.
Solution to the problem
For this particular case they are interested on the amount of weight gained by randomly selecting some students, we need to remember that the weight can't be a discrete random variable since this random variable can take values on a specified interval and with decimals, so for this case the best conclusion is that we have a continuous data set.
Answer:
third option
Step-by-step explanation:
Given the arithmetic sequence
14, 24, 34, 44, 54, ....
with f(1) = 14 and common difference d = 24 - 14 = 10
The recursive function allows a term in the sequence to be found by adding d to the previous term, thus
f(n + 1) = f(n) + 10 where f(1) = 14
If you recall y=mx+b, the slope-intercept form of a linear equation, the slope, m, is the rate of change of the equation, and the y-intercept is b.
When switching to function notation, we simply swap y for f(x), and if we start at x=0 and graph in the positive x direction, we've started at whatever initial value exists (the y-intercept value).
Simply: F(x) = 2/3 x + 4
