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Svetllana [295]
3 years ago
14

What is the next term of the geometric sequence?

Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

The next term of the given geometric sequence is -12.

Step-by-step explanation:

Given that,

A geometric sequence, \dfrac{4}{9},\dfrac{-4}{3},4

To find,

The next term of the geometric sequence.

Solution,

We have,

First term, a=\dfrac{4}{9}

Common ratio,

r=\dfrac{-\dfrac{4}{3}}{\dfrac{4}{9}}\\\\r=-3

The next term of the sequence is :

T_4=ar^{n-1}\\\\=\dfrac{4}{9}\times (-3)^3\\\\T_4=-12

So, the next term of the given geometric sequence is -12.

Reference,

brainly.com/question/13008517

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Estimate quotient using multiple 53÷3
kolezko [41]
It would be 20 because if you estimate 53 you would get 50 so 50÷3 would be clase to 2 and then add 1 zero and you will get 20 so 20 is your answer. Hope this helped. ☺
5 0
3 years ago
6÷2(1+2)= ???????????
choli [55]
3(1+2)
3+6
9 ( the answer is nine)
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3 0
3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
A zookeeper predicted the weight of a new baby elephant to be 230 pounds when I was born the elephant actually weigh 262 pounds
insens350 [35]

Answer:

13.9%

Step-by-step explanation:

Given data

Expected weight = 230 pounds

Actual weight= 262 pounds

Required

The percent error

Error= Actaul- expected/ expected *100

Error= 262-230/230*100

Error=32/230*100

Error=0.139*100

Error=13.9%

Hence the error is 13.9%

5 0
2 years ago
Evaluate the following expressions given the values below.
abruzzese [7]

Answer:

31

Step-by-step explanation:

ab + bc + ac for a = 2, b = 5, and c = 3

(2×5)+(5×3)+(2×3)

10+15+6

31

4 0
2 years ago
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