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aliina [53]
3 years ago
11

Music Magic offers live streaming for $9.99 a month, with downloads at $0.50 a song. You have $30 a month budgeted for this serv

ice. The equation 0.5s + 9.99 = 30 describes the situation. The solution to this equation is s = 40.02. Explain what this means in terms of service.
Mathematics
1 answer:
MissTica3 years ago
7 0

Step-by-step explanation:

<u>$30 a month budget includes:</u>

  • $9.99 monthly fee
  • $20.01 to download songs, each for $0.50, this makes $20.01/$0.50 = 40.02 songs.
  • So we can download 40 songs with this service.
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In a sample of 115 115 curtains, the average length was found to be 32.2in. 32.2 ⁢ in. With a standard deviation of 0.8 0.8 . Gi
pentagon [3]

Answer:

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

s = 0.8, n = 115

The point estimate for the population standard deviation of the length of the curtains is \sigma. So

s = \frac{\sigma}{\sqrt{n}}

\sigma = s\sqrt{n}

\sigma = 0.8\sqrt{115}

\sigma = 8.58

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

3 0
3 years ago
Evaluate g(3) if g(x) = 2x + 1.
pochemuha
This problem asks, as simply put, the value of the function at x=3. So, plug in three to find your answer:

2(3) + 1 = 7, so g(3) is 7
4 0
3 years ago
Read 2 more answers
Solve 6^x=1,296<br><br><br> X=__________a0
Troyanec [42]

Answer:

x=4

Step-by-step explanation:

6^x = 1296

Take the log base 6 on each side

log6(6^x) = log6(1296)

Rewrite 1296 as 6^4

x = log 6(6^4)

We know that log( a^b) = b log (a)

x = 4 log6(6)

We know that loga(a) =1

x = 4 *a

x =4

5 0
3 years ago
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Write an exponential function in the form y = abx that goes through points (0,16)<br>and (2,400).​
barxatty [35]

Answer:

y = 16 (5)^{x}

Step-by-step explanation:

Use the given points to find the values of a and b

Using (0, 16), then

16 = ab^{0} ( b^{0} = 1 ), thus

a = 16

y = 16 b^{x}

Using (2, 400), then

400 = 16b² ( divide both sides by 16 )

b² = 25 ( take the square root of both sides )

b = \sqrt{25} = 5

Thus

y = 16 ×  5^{x} ← exponential function

5 0
4 years ago
Someone pls help with question 1
skad [1K]

This is a question related to Science dear!

3 0
3 years ago
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