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2 years ago

Create a storyline (word problem) using the following algebraic expression: 1,000/r

Mathematics

1 answer:

mamaluj [8]2 years ago

7 0

Answer:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Step-by-step explanation:

Create a story line(word problem) means to create a fake or real story by translating an algebraic expression in english.

We can create a story by the given 1,000/r:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Here r = 50....

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A recent study reported that high school students spend an average of 94 minutes per day texting. Jenna claims that the average

larisa [96]

Answer:

We have sufficient evidence to support the claim that the average for the students at Jenna's large high school is greater than 94 minutes.

Step-by-step explanation:

Jenna claims that the average time of texting at her larger high school is greater than 94 minutes per day.

From here we can see that we have to perform a hypothesis test about a sample mean. The null and alternate hypothesis will be:

Null Hypothesis: $\mu \leq 94$

Alternate Hypothesis: $\mu > 94$

Jenna collected data from a sample of 32 students. So, sample size will be:

Sample Size = n = 32

Sample Mean = x = 96.5

Sample Standard Deviation = s = 6.3

We have to perform a hypothesis test, to test Jenna's claim. Since, the value of Population Standard Deviation is unknown and the value of Sample Standard Deviation is known, we will use One Sample t-test in this case.

The formula to calculate the test statistic is:

$t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

Using the values, we get:

$t=\frac{96.5-94}{\frac{6.3}{\sqrt{32} } }=2.245$

The degrees of freedom will be:

df = n - 1 = 32 - 1 = 31

We have to convert the t-score 2.245 with 31 degrees of freedom to its equivalent p-value. From t-table this value comes out to be:

p-value = 0.0160

The significance level is:

$\alpha =0.05$

Since, the p-value is lesser than the level of significance, we reject the Null Hypothesis.

Conclusion:

We have sufficient evidence to support the claim that the average for the students at Jenna's large high school is greater than 94 minutes.

3 0

2 years ago

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco

Mars2501 [29]

Answer:

Mortgage option (3) would be best suited for them.

Step-by-step explanation:

Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.

Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.

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QUESTÃO DE PL (PROGRAMAÇÃO LINEAR):

ra1l [238]

Essa pergunta nao esta em forma ingles, então pessoas nao vao entender.

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2 years ago

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hammer [34]

Answer:

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Step-by-step explanation:

The new price is 9 and the old price is 8, so you can find the change by doing

9/8

which is 1.125

This means the new price is 12.5% higher than last year because you have to ignore the 1 in front and only look at the .125

Move the decimal place two to the right to get 12.5 and then add the % sign.

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2 years ago

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Alisiya [41]

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