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3 years ago

Write the next three numbers in the three numbers in the sequence:0.4, 1.2, 3.6, 10.8

Mathematics

2 answers:

ANTONII [103]3 years ago

7 0

Answer:

the next three terms in sequence are 32.4 , 97.2 and 291.6

Step-by-step explanation:

Given: the sequence 0.4, 1.2, 3.6, 10.8

To Find: next three numbers in the sequence

Solution:

in sequence 0.4, 1.2, 3.6, 10.8

ratio of every term to the next term is

= $\frac{0.4}{1.2}=\frac{1.2}{3.6}=\frac{3.6}{10.8}=1:3$

therefore,

the next term to 10.8 in the sequence will be

= $10.8\times3$

= $32.4$

the next term to 32.4 in the sequence will be

= $32.4\times3$

= $97.2$

the next term to 97.2 in the sequence will be

= $97.2\times3$

= $291.6$

the next three terms in sequence are $32.4 , 97.2 ,291.6$

wolverine [178]3 years ago

4 0

The rule is 3x
so to find the next number you multiple the most recent one by 3
the next three are:
32.4, 97.2, 291.6

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F(x) = 2x g(x) = 2x + 1 Find (f/g) (x) . Include ahy restrictions on the domain.

victus00 [196]

Answer:

quotient is 1 and remainder is -1

Step-by-step explanation:

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2 years ago

Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo

jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((e^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((e^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0

3 years ago

What is the product of (7.28 x 10-2). (9.1 x 10-2)?

tangare [24]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Simplify. -10m+2m^4-13m-20m^4

Ulleksa [173]

First one:

you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so

when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)

-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m

add
-10m-13m+2m^4-20m^4
-23m-18m^4

second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms

(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8

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3 years ago

A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew

ra1l [238]

7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5

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2 years ago