Answer:
x= 17
Step-by-step explanation:
combine like terms
4x-7=61
4x=68
x=17
Answer: F = 25.1 kHz
Step-by-step explanation:
Time (period) = 250 × 10^-6 s
Let's first calculate the folding frequency. Given by
NF (rad s-1) = π/Δt
where NF = Nyquist frequency
t = time increment between observations.
The original signal must be filtered by analog or physical methods to remove all frequencies higher than the Nyquist frequency before the signal is sampled or digitized.
F = 3.143/0.00025
F = 12566.37Hz
minimum sampling rate = 2F
2 × 12566.37 = 25132.74Hz
minimum sampling rate = 25.1 KHz
Answer:
i and iii) In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
ii)
And using the normal standard table or excel we got:
iv)
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
Step-by-step explanation:
Let X the random variable that represent amount of time people spend exercising in a given week, and for this case we know the distribution for X is given by:
Where
and
Part i and iii
In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
Part ii
We are interested on this probability:
We can use the z score formula given by:
Using this formula we have:
And using the normal standard table or excel we got:
Part iv
We want this probability:
Using the z score formula we got:
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
Answer:
Adela drinks 4 glasses of water per day.
Step-by-step explanation:
Since there are 7 days in a week, you want to divide, 28 / 7, which will give you 4 as a result.
Answer:
B. y = (x + 3)^2 - 17
Step-by-step explanation:
When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:
... y = x² +6x +9 -8 -9
... y = (x² +6x +9) -17
... y = (x +3)² -17 . . . . . . . . matches selection B