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ipn [44]
2 years ago
12

Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup

are left after Ian has eaten 4 buffalo burgers?
Mathematics
1 answer:
tatiyna2 years ago
4 0
If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or \frac{4}{20}.

\frac{4}{20} can be simplified to \frac{1}{5}, which means we need to work out \frac{1}{5} of 12.2

\frac{1}{5} is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

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2 years ago
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Statistics In the manual “How to Have a Number One the Easy Way,” it is stated that a song “must be no longer than three minutes
dimaraw [331]

Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let \mu = <u><em>population mean length of the songs</em></u>

So, Null Hypothesis, H_0 : \mu \leq 210 seconds      {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, H_A : \mu > 210 seconds      {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is <u>One-sample z-test statistics </u>because we know about population standard deviation;

                              T.S.  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean length of songs = 252.5 seconds

            \sigma = population standard deviation = 54.5 seconds

            n = sample of current hit songs = 40

So, <u><em>the test statistics</em></u> =  \frac{252.5-210}{\frac{54.5}{\sqrt{40} } }

                                   =  4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so <u><em>we have sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

4 0
2 years ago
The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The
bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident = 1.643 \times 10^3pound.

Given that population of the city = 2.61 \times 10^5


Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.


Total garbage collected = (2.61 \times 10^5 ) * (1.643 \times 10^3 ) pounds

Total garbage collected = (2.61*1.643) \times 10^{5+3} pounds

Total garbage collected = 4.28823 \times 10^8 pounds

Hence final answer is 4.28823 \times 10^8 pounds.

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2 years ago
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Aileen can read 1.5 pages for every page her friend can read. Aileen's mom was very excited and she said to Aileen: "So, if your
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No, Aileen's mom is incorrect. Aileen can read 30 pages in the same time period as her friend reads 20 pages.

To get this answer, you multiply 20 by 1.5

20 x 1.5 = 30

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Answer:

A. Yes.

B. Yes.

C. No.

Step-by-step explanation:

A. Yes. The sum of the series, 5 + 25x + 125x^{2} + 625x^{3} + 3125x^{4} + ........... is the sum of a geometric series.

The first term of the series a_n = 5.

The common ration or the ratio between successive terms (r) = \frac{25x}{5} = 5x (Answer)

B. Yes. The sum of the series, 5x^{7} + 5x^{8} + 5x^{9} + 5x^{10} + ............ is also the sum of a geometric series.

The first term of the series a_n = 5x^{7}.

The common ration or the ratio between successive terms (r) = \frac{5x^{8} }{5x^{7} } = x (Answer)

C. No. The sum of the series, 5 + 5x + 5x^{2} + 5x^{4} + 5x^{8} + ........... is not the sum of a geometric series.

The first term of the series a_n = 5.

(Answer)

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2 years ago
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