A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Learn more about permutations at https://brainly.com/question/1216161
#SPJ2
URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??
Answer:
493g.
Step-by-step explanation:
f(x) = - 3/5 * x + k, If f(30)=^ - 11 , what is the value of k?
X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.
K = 19
Did this help You?----> Yes Or No ?
A triangle has angles that measure 118°, 30°, and 32°.
Answer:
Obtuse
Step-by-step explanation:
Triangles with angles > 90 are obtuse
Answer: obtuse
Step-by-step explanation: Any triangle with more than 90 dgrees means that the other two angles automatically have two acute angles, but an obtuse triangle only needs one obtuse angle: 118. Tell me how I did!
The graph shows the function f(x).
What is the function's average rate of change from x=−1 to x = 1?
Enter your answer, as a simplified fraction, in the boxes.
Explanation is in the file
tinyurl.com/wpazsebu
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data from this sample, it was reported that over half of U.S. adults would give themselves a grade of A or B on their knowledge of personal finance. This statement was based on observing that 939 people in the sample would have given themselves a grade of A or B.
(a) Construct and interpret a 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance. (Round your answers to three decimal places.)
(,)
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B? Explain why or why not.
Because this confidence interval _____ is entirely below 0.5contains 0.5is entirely above 0.5 , the interval ______ is not consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that [tex]n = 1664, \pi = \frac{939}{1664} = 0.5643[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588[/tex]
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
A store manager decides to clear out
school supplies to make room for new
inventory. Now a $20 bookbag will be
on sale for only $9. What is the
discount, as a percentage?
A:55%
B:40%
C:45%
D:50%
Answer:
it would be A:55%
Step-by-step explanation
For percent, to make it easier try to turn it into a 100.
20x5=100
do the same to the 9.
9x5=45.
Now subtract 45 from 100.
100-45=55.
There was a discount of 55%.
If Brittany walks 4 miles in 50 minutes, then Brittany will walk how far in 90 minutes if she walks at the same speed the whole time? If necessary round your answer to the nearest tenth of a mile
Answer:
Wrong Anewer, I can't delete my answer so I just edited this in
Answer: try calculating it this is very easy that’s why you just have to times it
ing
Step-by-step explanation:
helppppppp i need help
I just need these three questions fine, they should be easy, 7th grade level
1) A graph is linear when the line on a graph is a straight line with no curves.
2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.
3) (I don't know what type of equation you mean but this is my guess)
Division is the last step of an equation.
A piece of machinery depreciates 6000 the first year 5500 the second year and 5000 the third year. If the rate of depreciation is constant what is the amount of depreciation of the piece of the machinery in the sixth year?
Answer:
3500
hope this helps
If the following equation is true, what could be the value of x ?
2(x+1) = 8^2
a. 2
b. 3
c. 4
d. 5
Answer:
2 ( x + 1 ) = 64
x = 64 : 2 - 1
x = 31
The equation isn't true
2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O
Answer:
B. because there are too many side lengths to be a triangle
Fill in the blank for x~
24=4x-4
-
Determine whether the graph is a function.
Answer:
a
Step-by-step explanation:
a
I dont need an explanation just tell me where the 1 and 2 goes no links WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
independent variable is pens and dependent variable is $5 each Im pretty sure
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
solve for x: 8x = 2/3
Divide each term by 8 and simplify.
exact form should be
1/12
Decimal form should be
0.083
QUESTION 8
In the linear equation y = 2x - 8, the slope of the line is
-2.
-8
2
8
Answer:
2
Step-by-step explanation:
give brainliest
Solve the following system of equations using the elimination method. 2x+4y=10;-2+y=-15
Answer:
x=7, y=-1. (7, -1).
Step-by-step explanation:
2x+4y=10
-2x+y=-15
-----------------
5y=-5
y=-5/5
y=-1
2x+4(-1)=10
2x-4=10
2x=10+4
2x=14
x=14/2
x=7
How do I solve for x
Answer:
x=-4
Step-by-step explanation:
The angles have to equal eachother, so:
130=134+x
subract 134 from both sides
-4=x
A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?
(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3
Answer:
[tex]b = 0.3[/tex]
Step-by-step explanation:
Given
[tex]V = ab^t[/tex]
See attachment for graph
From the graph
V = 20 when t = 0
This implies that:
[tex]V = ab^t[/tex]
[tex]20 = ab^0[/tex]
[tex]20 = a * 1[/tex]
[tex]20 = a[/tex]
[tex]a = 20[/tex]
Also:
V = 4 when t = 1.5
So:
[tex]4 = ab^{1.5[/tex]
Substitute 20 for a
[tex]4 = 20 * b^{1.5[/tex]
Divide by 20
[tex]0.2 =b^{1.5[/tex]
[tex]b^{1.5} = 0.2[/tex]
Take 1.5th root of both sides
[tex]b = 0.34199518933[/tex]
[tex]b = 0.3[/tex] --- approximated
There is a one-time fee of $50 to join a gym. If the monthly membership fee is $28, how much will you have spent after 3 months of your membership?
I need help finding the area and perimeter to this question. Pls help!! Thank you!
Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)
Algebra 2
Can you help me pls
Answer:
In50=3.912023005
Step-by-step explanation:
press it on your calculator
who hates else edge and if you have cod mobile what's your name we could play
Answer:
i
Step-by-step explanation:
my name is Aisha let's play
What is the ratio of perimeters for two regular pentagons with areas of 32 cm2 and 98 cm??
O 16:49
0 20:35
O 32:98
O 4:7
Answer:
4:7
Step-by-step explanation:
32/98= 16/49 Square root: 16= 4 square root of 49 =7
4:7
A cylinder has radius 1.6 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth of a meter.
Answer:
11.8 meters
Step-by-step explanation: ʕ ˵• ₒ •˵ ʔ
Fatema will spend more than $30 on gifts. So far, she has spent $14 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) . Write your answer as an inequality solved for c .
Answer:
c > $16
Step-by-step explanation:
Since she already spent $14 from the original $30 then the value of C would be the following inequality.
c > 30 - 14
c > 16
Therefore, the additional amount she could spend needs to be greater than $16 in order for Fatema to actually spend more than the $30 she wanted to spend on gifts in total.
What is 2ft 3in converted to in?
Answer:
its is 27inches total
Step-by-step explanation:
yes is right