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marissa [1.9K]
3 years ago
12

To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0
<h3><u>Question:</u></h3>

"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?

1 , 2.5 , 6.25, 15.625, ..."

<h3><u>Answer:</u></h3>

The value of the next term is 39.0625

<h3><u>Solution:</u></h3>

Given that the series is 1 , 2.5 , 6.25, 15.625

When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5

So, all the successive numbers are 2.5 times of their previous number  

1 \times 2.5 = 2.5\\\\2.5 \times 2.5 = 6.25\\\\6.25 \times 2.5 = 15.625\\\\15.625 \times 2.5 = 39.0625

So the value of next term is 39.0625

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Two​ researchers, Jaime and​ Mariya, are each constructing confidence intervals for the proportion of a population who is​ left-
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Answer:

Jaime's. Interval not centered around the point estimate.

Step-by-step explanation:

When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.

For Jaime's interval

Lower bound = 0.078

Upper Bound = 0.193

Central = \frac{0.078+0.193}{2} =0.1355

For Mariya's interval

Lower bound = 0.051

Upper Bound = 0.189

Central = \frac{0.051+0.189}{2} =0.12

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.

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2 years ago
Which expression is equivalent to
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What is the limit of f (×) as x approaches - infinty
tatyana61 [14]
If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the leading coefficient of denominator.

So then the limit would be 3/1 = 3.

Alternatively,

\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}=\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}\cdot\dfrac{1/x^2}{1/x^2}=\lim_{x\to\infty}\dfrac{3+\frac6{x^2}}{1-\frac4{x^2}} = \dfrac{3+0}{1-0}=\boxed{3}

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5 0
2 years ago
Lakiesha is an employee who drives a 2019 Buick Verano as a company car. The fair-market value of the car is $28,545. She has be
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Answer:

Lease value          

Step-by-step explanation:

The lease value may bed defined as an open market capital valuation of the parts of the subject or the subject that are to be leased in regards of the terms of the lease.

In the context, Lakiesha drives a company car whose value is $ 7,750 according to 15-b publication. The car was available for 200 days in a year. She drove the car for 4500 miles for her personal use and 21250 miles in total. The fuel is paid by the employer. So here the best method that will yield the lowest fringe benefit amount for her is the lease value method.

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2 years ago
A charter airline finds that on its Saturday flights from Philadelphia to London, all 120 seats will be sold if the ticket price
Nataliya [291]

Answer:

a) P=3(120-s)+200

b) 215 \leq P \leq 290

Step-by-step explanation:

For this case we can use a linear model to solve the problem.

s) Create an equation to express the increase on the price tickets and the number of seats sold

s number of seats, if w analyze the info given the number of seats after increase the price is given by 120-s.

And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.

We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:

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P=3(120-s)+200

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So for this case we just need to replace the limits into the linear equation and see what we got:

P_L=3(120-90)+200=290

P_U=3(120-115)+200=215

So the corresponding range of ticket prices is:

215 \leq P \leq 290

4 0
2 years ago
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