Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier
Answer:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Answer:
25
Step-by-step explanation:
Answer:
a.
b. The fret should be placed 25 cm far from the bridge.
c. So, the fraction of string at which the fret is placed is .
Step-by-step explanation:
We are given,
The function representing the distance of a fret from the bridge by ,
where r = length of the root note string and n = number of notes higher than root note.
Now, Louis want to produce notes on a 50 com string. This gives r = 50.
Thus, .
1. It is required to produce notes which are 1 octave ( 12 notes ) higher than the root note. This gives that n = 12.
So, we get, r = 50 and n = 12 which gives us the function as,
a.
i.e.
i.e.
i.e.
b. Thus, the fret should be placed 25 cm far from the bridge.
Now, as the fret is placed 25 cm far on the string having length 50 cm.
c. So, the fraction of string at which the fret is placed is i.e. .
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5