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lions [1.4K]
3 years ago
8

A songwriter gets paid monthly at a rate of $150 for each song he completes last month he wrote 8 songs and got halfway through

a 9th song how much money was he paid last month
Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

He was paid $ 1200 last month.

Step-by-step explanation:

Given,

He gets paid monthly at a rate of $150 for each song he completes last month,

⇒ The money he get last month for one song = $ 150,

Also, the number of songs he wrote last month = 8,

Since, the money he earned for 8 songs = 8 × 150 = $ 1200,

Hence, he was paid $ 1200 last month.

Alja [10]3 years ago
3 0
150 * 8 = $1,200
150 / 2 = $75

$1,200 + $75 = 1275
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Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
When 20 large rooms are occupied, the total amount of money collected from the large room is $1800. When 10 large rooms and 21 s
NNADVOKAT [17]
It is 70
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5 0
3 years ago
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Answer: x=\frac{12}{7}

Step-by-step explanation:

Remember the logarithms properties:

log(m)-log(n)=log(\frac{m}{n})\\\\b^{log_b(a)}=a

Then,simplifying:

log_{8}(\frac{x}{-2x+4}) = log_{8}(3)

Apply base 8 to boths sides and then solve for "x":

8^{log_{8}(\frac{x}{-2x+4})}=8^{log_{8}(3)}\\\\\frac{x}{-2x+4}=3\\\\x=3(-2x+4)\\\\x=-6x+12\\x+6x=12\\7x=12\\\\x=\frac{12}{7}

4 0
3 years ago
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zaharov [31]
Katy is wrong because 5 divided by .25 is 20. 20 quarter pounders can be made.
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3 years ago
A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,
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Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

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Solving for x (number of months)

500/100 = 1.25^x

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log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

8 0
3 years ago
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