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olga nikolaevna [1]

3 years ago

14

Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achil

les ate in the nth hour since he got it. f is a sequence.
What kind of sequence is it?

Write an explicit formula for the sequence.

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

Step-by-step explanation:

the sequence is exponential and the formula is f(n) 16 -r/16-1

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A project to build a new bridge seems to be going very well since the project is well ahead of schedule and costs seem to be run

Alecsey [184]

Answer:

Scheduled Variance = $850,000.00

Schedule Performance Index = 1.05

Cost Performance Index = 1.11

Step-by-step explanation:

Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).

From the attached excel file, we have:

Total Actual Cost to Date = $15,300,000

Total BCWS = $16,170,000

Total BCWP = $17,020,000

Therefore, we have:

Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00

Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05

Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000

Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11

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2 years ago

What is the value of (–7 + 3i) – (2 – 6i)

Sidana [21]

((–7) + (3 + i)) - (2 - (6 + i)) =-9 + 9 i

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3 years ago

What is the measure if each interior angle of a 15-gon

olya-2409 [2.1K]

Answer:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always 2 LESS than the number of sides.

As

The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

$13\:\times\:180\:=\:2340^0$

Also

15-gon is regular, it means this total $2340^0$ is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be: $\frac{2340^{0} }{15}=156^{0}$

Therefore, we conclude that:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

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3 years ago

The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

$Z = \frac{X - \mu}{\sigma}$

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

So

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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2 years ago

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Answer:

1/40

Step-by-step explanation:

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2 years ago