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wolverine [178]
3 years ago
9

Party favors are on sale for $2.50 each. You have $380 to spend on the decorations and gifts, and you have already spent $272 on

decorations. How many party favors could you buy.
Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer: 39

Step-by-step explanation:

You would subtract 380-272 to get 108 then multiple 2.50 to 39 to get $97.50 plus tax will take the rest of the money.

Alenkinab [10]3 years ago
3 0

Answer:

we could buy 43 party favors

Step-by-step explanation:

initially we have an amount of $380

if we already spend an amount of $272 this we have to subtract it from the total

$380 - $272 = $108

if each party favor comes out $ 2.50 and we have $ 108 we have to divide what we have by what each one comes out to know how many we can buy

$108 / $2.50 = 43.2

this means we could buy 43 party favors

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Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D
-Dominant- [34]

By iteratively substituting, we have

a_n = a_{n-1} + n

a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)

a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)

and the pattern continues down to the first term a_1=0,

a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))

\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)

\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k

Recall the formulas

\displaystyle \sum_{n=1}^N 1 = N

\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2

It follows that

a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2

\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1

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4 0
2 years ago
The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop
muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0
3 years ago
An airplane climbs at an angle of 13 with the ground . What is the distance it has traveled when it has attained an altitude of
nevsk [136]
The distance traveled is the hypotenuse of the right triangle formed with the ground.

sinα=400/d

d=400/sinα, we are told α=13° so

d=400/sin13 ft

d≈1778ft (to nearest whole foot)
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statuscvo [17]

Answer:

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1 year ago
John has scored 657 points on his math tests so far this quarter. To get an A for the quarter, he must score a minimum Of 800 po
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800 - 657
=143 points must be scored by John on his remaining tests in order to get an A
6 0
3 years ago
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