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3 years ago

Consider the sequence:

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

a_n = 3 + a_n − 1 a_ n = 3 + a_ n − 1

Step-by-step explanation:

The first term is 8, so a_1 = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: an = 3+a_n-1 which says "to get the nth term, add 3 to the term just before the nth term"

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Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH lev

stiv31 [10]

Answer:

The mean and standard deviation of the corrected pH measurements are 6.63 and 3.8025 respectively.

Step-by-step explanation:

We can correct the values of the mean and standard deviation using the properties of the mean and the variance.

To the original value X we have to add 0.2 and multiply then by 1.3 to calculate the new and corrected value Y:

$Y=1.3(X+0.2)$

The mean and standard deviation of the original value X are 4.9 and 1.5 respectively.

Then, we can apply the properties of the mean as:

$E(Y)=E(1.3(X+0.2))=1.3E(X+0.2)=1.3E(X)+1.3*0.2\\\\E(Y)=1.3E(X)+0.26\\\\E(Y)=1.3*4.9+0.26=6.37+0.26=6.63$

For the standard deviation, we apply the properties of variance:

$V(Y)=V(1.3(X+0.2))\\\\V(Y)=1.3^2\cdot V(X+0.2)\\\\V(Y)=1.69\cdot V(X)\\\\V(Y)=1.69\cdot 1.5^2=1.69\cdot 2.25=3.8025$

The properties that have been applied are:

$1.\,E(aX)=aE(X)\\\\ 2.\,E(X+b)=E(X)+b\\\\3.\,V(aX)=a^2V(X)\\\\4.\,V(X+b)=V(X)+0$

3 0

3 years ago

PLEASE HELP! The trail around Mirror Lake in Yosemite National park is 5 miles long. What fraction describes how much more of th

Katen [24]

Answer:

Jon - Andrea = 1/10
Callie - Jon = 3/10

Step-by-step explanation:

In terms of tenths, the distances each hiked are ...

Andrea — 4/10
Jon — 5/10
Callie — 8/10

Then the differences of interest are ...

Jon - Andrea = 5/10 -4/10 = 1/10

Callie - Jon = 8/10 - 5/10 = 3/10

Jon hiked 1/10 of the trail more than Andrea.

Callie hiked 3/10 of the trail more than Jon.

6 0

3 years ago

What's the percent decrease for 3 to .5

In-s [12.5K]

The percent decrease for 3 to .5 is 83.33%

6 0

3 years ago

Which expressions are equivalent to 2(25)?

g100num [7]

Answer:

2(20+5)

2(10+15)

Step-by-step explanation:

When you add 20+5 together you get 25 which is the same to 2(25)

When you add 10+15 together you get 25 which is the same to 2(25)

6 0

3 years ago

Read 2 more answers

Can<br> You<br> Help me<br> It’s hard

anyanavicka [17]

Answer:

16.8 + (-18.6)

Step-by-step explanation:

A subtraction symbol and adding a negative are the same

8 0

3 years ago

Read 2 more answers