Answer:
260
Step-by-step explanation:
The relationship between the number of standard versions and the total download can be written as ...
2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)
11.3n = 2938 . . . . . . . . . simplify
n = 2938/11.3 = 260 . . . divide by the coefficient of n
There were 260 downloads of the standard version.
Calculus hw, need help asap with steps.
Answers are in bold
S1 = 1
S2 = 0.5
S3 = 0.6667
S4 = 0.625
S5 = 0.6333
=========================================================
Explanation:
Let [tex]f(n) = \frac{(-1)^{n+1}}{n!}[/tex]
The summation given to us represents the following
[tex]\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=\sum_{n=1}^{\infty} f(n)\\\\\\\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=f(1) + f(2)+f(3)+\ldots\\\\[/tex]
There are infinitely many terms to be added.
-------------------
The partial sums only care about adding a finite amount of terms.
The partial sum [tex]S_1[/tex] is the sum of the first term and nothing else. Technically it's not really a sum because it doesn't have any other thing to add to. So we simply say [tex]S_1 = f(1) = 1[/tex]
I'm skipping the steps to compute f(1) since you already have done so.
-------------------
The second partial sum is when things get a bit more interesting.
We add the first two terms.
[tex]S_2 = f(1)+f(2)\\\\S_2 = 1+(-\frac{1}{2})\\\\S_2 = \frac{1}{2}\\\\S_2 = 0.5\\\\\\[/tex]
The scratch work for computing f(2) is shown in the diagram below.
-------------------
We do the same type of steps for the third partial sum.
[tex]S_3 = f(1)+f(2)+f(3)\\\\S_3 = 1+(-\frac{1}{2})+\frac{1}{6}\\\\S_3 = \frac{2}{3}\\\\S_3 \approx 0.6667\\\\\\[/tex]
The scratch work for computing f(3) is shown in the diagram below.
-------------------
Now add the first four terms to get the fourth partial sum.
[tex]S_4 = f(1)+f(2)+f(3)+f(4)\\\\S_4 = 1+(-\frac{1}{2})+\frac{1}{6}-\frac{1}{24}\\\\S_4 = \frac{5}{8}\\\\S_4 \approx 0.625\\\\\\[/tex]
As before, the scratch work for f(4) is shown below.
I'm sure you can notice by now, but the partial sums are recursive. Each new partial sum builds upon what is already added up so far.
This means something like [tex]S_3 = S_2 + f(3)[/tex] and [tex]S_4 = S_3 + f(4)[/tex]
In general, [tex]S_{n+1} = S_{n} + f(n+1)[/tex] so you don't have to add up all the first n terms. Simply add the last term to the previous partial sum.
-------------------
Let's use that recursive trick to find [tex]S_5[/tex]
[tex]S_5 = [f(1)+f(2)+f(3)+f(4)]+f(5)\\\\S_5 = S_4 + f(5)\\\\S_5 = \frac{5}{8} + \frac{1}{120}\\\\S_5 = \frac{19}{30}\\\\S_5 \approx 0.6333[/tex]
The scratch work for f(5) is shown below.
Find the missing numerator that will make the rational expressions equivalent.
82x+7=?6(2x+7)
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
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According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answer the following questions.
a. Suppose a random sample of 150 couples is asked, "Did you meet online>" Describe the sampling distribution of p, the proportion of couples that met online.
b. What is the probability that in a random sample of 150 couples more than 25% met online?
c. What is the probability that in a random sample of 150 couples between 15% and 20% met online?
Using the normal distribution and the central limit theorem, we have that:
a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
22% of couples meet online, hence p = 0.22.A sample of 150 couples is taken, hence n = 150.Item a:
The mean and the standard error are given by:
[tex]\mu = p = 0.22[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338[/tex]
The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
Item b:
The probability is one subtracted by the p-value of Z when X = 0.25, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.25 - 0.22}{0.0338}[/tex]
Z = 0.89
Z = 0.89 has a p-value of 0.8133.
1 - 0.8133 = 0.1867.
There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
Item c:
The probability is the p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15, hence:
X = 0.2:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.2 - 0.22}{0.0338}[/tex]
Z = -0.59
Z = -0.59 has a p-value of 0.2776.
X = 0.15:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.15 - 0.22}{0.0338}[/tex]
Z = -2.07
Z = -2.07 has a p-value of 0.0192.
0.2776 - 0.0192 = 0.2584.
There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
The value of A is .
The value of B is .
Answer:a=10 b=35
Step-by-step explanation:
1*8=8 1.25*8=10
1*28=28 1.25*28=35
What is the value of X?
Answer:
x=7
Step-by-step explanation:
In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.
Judi Salem opened a law office on July 1, 2022. On July 31, the balances in the accounts were as follows: Cash $5,000, Accounts Receivable $1,500, Supplies $500, Equipment $6,000, Accounts Payable $4,200, and Owner’s Capital $8,800. During August, the following transactions occurred.
1. Collected $1,200 of accounts receivable.
2. Paid $2,800 cash on accounts payable.
3. Recognized revenues of $7,500 of which $3,000 is collected in cash and the balance is due in September.
4. Purchased additional equipment for $2,000, paying $400 in cash and the balance on account.
5. Paid salaries $2,500, rent for August $900, and advertising expenses $400.
6. Withdrew $700 in cash for personal use.
7. Received $2,000 from Standard Federal Bank—money borrowed on a note payable.
8. Incurred utility expenses for month on account $270.
Step-by-step explanation:
what is that called into the comet or ok
how can I be smart wear I don't need to cheat to get high grades
try your best
Step-by-step explanation:
Answer:
Study!
Step-by-step explanation:
Natalie randomly answered the last three
true-or-false questions on her math quiz.
What is the probability that she got at least
two correct?
The probability that Natalie got at least two correct on the last three
true-or-false questions is 1/4.
What is the probability that Natalie got at least two correct?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The sample space is 2. The question is either correct or wrong.
The probability that Natalie got at least two correct = 1/2 x 1/2 = 1/4
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The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
9x^2 - 18x + 36
A. True
B. False
Answer:
False
Step-by-step explanation:
[tex]9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2[/tex]
Is quadrilateral ABCD angle is equals to 60 degrees Angle B is equals to 80 degrees and angle C is equals to 120° find angle d
9 ft
58.5 ft
33 ft
16.5 ft
Find the solution(s) to the system
y = x2-4
y = -2x – 5
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
Express √12+√27 in the form n√3, where n is an integer.
Answer:
5sqroot3
Step-by-step explanation:
see image.
An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.
To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image
How many different outcomes are possible when three coins are flipped at the same time?
Answer:
8
Step-by-step explanation:
Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8.
Answer:
8
Step-by-step explanation:
help plsssssssssssssssssssssssssssssssssssss
Answer:
84
Step-by-step explanation:
The diameter of a circle is 8 miles. What is the angle measure of an arc 3 miles long?
Answer:
[tex]\sf \theta=\dfrac34 \ radians=42.97 \textdegree \ (nearest \ hundredth)[/tex]
Step-by-step explanation:
Formulae
[tex]\sf radius (r)=\dfrac12 d[/tex]
(where d is the diameter of a circle)
[tex]\sf arc \ length =r\theta[/tex]
(where r is the radius and [tex]\theta[/tex] is measured in radians)
Calculation
Given:
[tex]\sf radius (r)=\dfrac12 \cdot 8=4 \ mi[/tex]arc length = 3 miSubstituting these values into the formula for arc length:
[tex]\implies \sf 3 =4\theta[/tex]
[tex]\implies \sf \theta=\dfrac34 \ radians[/tex]
To convert radians to degrees use
[tex]\sf 1 \ rad \cdot \dfrac{180\texrdegree}{\pi}[/tex]
[tex]\implies \sf \dfrac34 \cdot \dfrac{180\texrdegree}{\pi}=42.97183463...\textdegree[/tex]
Now
[tex]\\ \rm\rightarrowtail \theta=\dfrac{l}{r}[/tex]
[tex]\\ \rm\rightarrowtail l=r\theta[/tex]
[tex]\\ \rm\rightarrowtail 3=4\theta[/tex]
[tex]\\ \rm\rightarrowtail \theta=\dfrac{3}{4}^c[/tex]
It takes a boat 2 hours to go 16 miles downstream with the current and 4 hours to return against the current. Find the speed of the boat in still water and the speed of the current.
let's recall that d = rt, or namely distance = rate * time.
b = speed of the boat
c = speed of the current
now, we know that going downstream the boat went 16 miles total, that's going only one way, so the distance the boat travels downstream as well as upstream to return is 16 miles flat.
when going downstream, the boat is not really going at "b" speed, is really going at "b + c" speed, because the current is adding its speed to it, so is really going faster than "b".
when going upstream, the boat is not really going at "b" speed" either, is really going slower at "b - c" speed, because the current is against it and thus subtracting speed from "b".
let's take a look at those in a table
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Downstream&16&b+c&2\\ Upstream&16&b-c&4 \end{array}\qquad \qquad \begin{cases} 16=(b+c)(2)\\\\ 16=(b-c)(4) \end{cases} \\\\\\ \stackrel{16}{(b+c)(2)}~~ = ~~\stackrel{16}{(b-c)(4)}\implies 2b+2c~~ = ~~4b-4c\implies 2c=2b-4c[/tex]
[tex]6c=2b\implies \cfrac{6c}{2}=b\implies \boxed{3c=b} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{16~~ = ~~(\stackrel{b}{3c}+c)(2)}\implies 16=4c(2)\implies 16=8c \\\\\\ \cfrac{16}{8}=c\implies \blacktriangleright \stackrel{mph}{2}=c \blacktriangleleft~\hspace{10em}3(2)=b\implies \blacktriangleright \stackrel{mph}{6}=b \blacktriangleleft[/tex]
Question 7 of 11
Two angles in a triangle have measures of 13' and 65.
What is the measure of the third angle?
A 52
B. 102
C. 78
D. 143
SUBMIT
no spammers pls and also giving brainliest to correct answer
Chapter 1 Test
What is the simplified form of the expression 3 + 8x - 2y - x + 1 + 4y? Enter your answers in the boxes.
X +
ly+
Answer:
7x+4+2y is your answer
5.Find the area of the parallelogram. *
10 m
16 m
8 m
16 m
10 m
Answer:
128 because formula is bh
Step-by-step explanation:
Pls help me what’s the answer
Answer:
the answer is D...... ..........
Answer:
226,080 cm3
Step-by-step explanation:
Help help ASAP math math
Answer:
-1/1
Step-by-step explanation:
=64/-8
over
36-30+2
= -8
over
8
= -1
over
1
Answer:
[tex] \rightarrow - 1[/tex]
Step-by-step explanation:
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]
[tex] \rightarrow \: - 1[/tex]
If you want to be 99% confident of estimating the population mean to within a sampling error of 14 and the standard deviation is assumed to be 14, what sample size
is required?
The sample size required is
(Round up to the nearest integer.)
In
Help me solve this
View an example
Get more help
Clear all
Check answer
Answer:
16641
Step-by-step explanation:
Thank you!
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
53
Step-by-step explanation:
[tex] \frac{sin(56)}{78.6} = \frac{sin(90)}{ab} \\ \\ absin(56) = sin(90) \times 78.6 \\ \\ ab = \frac{sin(90) \times 78.6}{sin(56)} \\ ab = 94.8 \\ \\ {x}^{2} + {78.6}^{2} = {94.8}^{2} \\ {x}^{2} = {94.8}^{2} - {78.6}^{2} \\ {x}^{2} = 8987.04 - 6177.96 \\ {x}^{2} = 2809.08 \\ x = \sqrt{2809.08} \\ x = 53[/tex]
what is 5(m-2) equil to
Answer:
5m - 10
Step-by-step explanation:
Use distributive property;
5(m - 2)
(5 x m) (5 x -2)
5m - 10
Write the Equation of the conic.
12. A circle with endpoints of a diameter at(1, -3) and (1,3).
Need help please thanks
Answer:
(x² -1) + y² = 9
Step-by-step explanation:
diameter=6 so radius means 6/2=3 (thus,radius²=3²=9)
centre (1 and midpoint of diameter is at y=0, so 1,0)
If 4–(x – 4) = 1 over 16 what is the value of x?
Answer:
4x+4=16
4x= 16–4
4x= 12
x= 12/4
x= 3
Alternatively,
4x+4=16
Taking 4 common,
4 (x+1) = 16
x+1 = 16/4
x+1 = 4
x = 4–1
x = 3
Step-by-step explanation:
The value of x is 68.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Given equation:
4/(x - 4) = 1 /16
Now, solving for x
4/(x - 4) = 1 /16
64 = x - 4
x= 68
Hence, the value of x is 68.
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The number 1 is a common factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Step-by-step explanation:
The number 1 is a common factor of C) all whole numbers
Answer:
C
Step-by-step explanation:
6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.
please i need help
This figure consists of a rectangle and semicircle. What is the area of this figure? Use 3.14 for π. Enter your answer to the nearest hundredths place in the box.
Answer:
Step-by-step explanation:
firstly the area for teh rectangle is 12 x 15 = 18are0
the area for the circle is 113.1 sq inches because pi x r squared