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3 years ago

What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5

Mathematics

2 answers:

Andrew [12]3 years ago

8 0

N=#

-6(n)
I think this is the answer

ArbitrLikvidat [17]3 years ago

7 0

We see this a geometric sequcne because each term is -6 times of the previous term

an=a1(r)^(n-1)
an=nth term
a1=first term
r=common ratio
n=which term

we see that it multiplies by -6 each time
and the first term is 1

so r=-6
a1=1

an=1(-6)^(n-1)
the explicit formula is
$a_n=1(-6)^{n-1}$

and a5=1(-6)^(5-1)=1(-6)^4=1296

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Each packet of jelly-child sweet contains 100 sweet. The cycling tour had 9425 jelly child sweet remaining. How many unopened pa

goblinko [34]

You would divide the amount remaining by amount per packet to get you answer.
9425/100=94.25
but because you want only unopened packets ignore the decimal

The answer is you have 94 unopened packets.

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3 years ago

I NEED HELP ASAP PLEASEEEE!!!!!

earnstyle [38]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5) x² = 12² + 6²

= 144 + 36

x² = 180

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x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

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x = √264

x = 16.25 m

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= 49 + 576

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x = 25 in

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5 0

4 years ago

M5_A3. The expected project completion time for the construction of a pressure vessel is 18 monthsand the project variance is 7.

snow_tiger [21]

Answer:

a) 0.3520

b) 0.9884

c) 0.1292

d) 0.1292

e) 0.7648

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have that:

The expected project completion time for the construction of a pressure vessel is 18 months. So $\mu = 18$ .

And the project variance is 7. The standard deviation is the square root of the variance, so $\sigma = \sqrt{7}$ .

a) What is the probability that the project will require at least 19 months?

The pvalue of the zscore of $X = 19$ is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.

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

$Z = \frac{19 - 18}{\sqrt{7}}$

$Z = 0.38$

The pvalue of Z = 0.38 is 0.6480.

So the probability that the project will require at least 19 months is 1 - 0.6480 = 0.3520.

b) What is the probability that the project will be completed within 24 months?

This is the pvalue of the zscore of X = 24.

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

$Z = \frac{24 - 18}{\sqrt{7}}$

$Z = 2.27$

The pvalue of Z = 2.27 is .9884. This means that the probability that the project will be completed within 24 months is .9884.

c) What is the probability that the project will require at least 21 months?

Same logic as a). We find the pvalue of the zscore of X = 21, then we subtract 1 by this value.

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

$Z = \frac{21 - 18}{\sqrt{7}}$

$Z = 1.13$

The pvalue of Z = 1.13 is 0.8708.

So the probability that the project will require at least 21 months is 1 - 0.8708 = 0.1292.

d) What is the probability that the project will be completed within 15 months?

Same logic as b). This is the pvalue of the zscore of X = 15.

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

$Z = \frac{15 - 18}{\sqrt{7}}$

$Z = -1.13$

The pvalue of Z = -1.13 is .1292. This means that the probability that the project will be completed within 15 months is .1292.

e) What is the probability that the project will take between 16 and 24 months to complete?

This is the pvalue of Z = 24 subtract by the pvalue of Z = 16.

In b), we found that the pvalue of Z = 24 is .9884

Now we find the pvalue of Z = 16

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

$Z = \frac{16 - 18}{\sqrt{7}}$

$Z = -0.76$

The pvalue of Z = -0.76 is 0.2236

So the probability that the project will take between 16 and 24 months to complete is 0.9884 - 0.2236 = 0.7648

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4 years ago

An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pe

Sphinxa [80]

Due to its subject-specific classification, ink color in pens is a qualitative variable.

<h2>What is a Qualitative variable?</h2>

The factors that cannot be measured with a numerical value are known as qualitative variables.
In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.

There is no numerical way to express it.

<h3>Quantitative variable</h3>

The other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.

Therefore, all of those are quantitative variables.

Consequently, option (C) is the appropriate choice.

Learn more about quantitative variables here:

brainly.com/question/14583272

#SPJ4

3 0

2 years ago

A hospital has 6 ambulances and 12 ambulance drivers. what is the ratio of ambulances to drivers when reduced to lowest terms?

timurjin [86]

6:12 is reduced to 1:6 because you divide it by 6

4 0

3 years ago

Read 2 more answers