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mote1985 [20]
2 years ago
6

Find the 81st term of the arithmetic sequence -28, -34, -40, ...

Mathematics
1 answer:
yan [13]2 years ago
6 0

Answer:

for the 81st term of this arithmetic sequence is going to be -508

Step-by-step explanation:

From the first three term(a1, a2, a3) we can see the common difference is going to be -6, and we know the first term of the arithmetic sequence is -28,

and the general expression of a arithmetic sequence is going to be an=a1+d(n-1)

in this case is going to be an=-6n-22, replacing 81 we got a a81 is going to be -508

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Vikki [24]

Answer: X = 4

(4x-1) = (2x+7)

X = 4

8 0
3 years ago
An investigator claims, with 95 percent confidence, that the interval between 10 and 16 miles includes the mean commute distance
RideAnS [48]

Answer:

Hello the options to your question is missing below are the options

 A) if sample means were obtained for a long series of samples, approximately 95 percent of all sample means would be between 10 and 16 miles

B.the unknown population mean is definitely between 10 and 16 miles

C.if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians

D.the unknown population mean is between 10 and 16 miles with probability .95

Answer : if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians  ( c )

Step-by-step explanation:

95%  confidence

interval = 10 to 16 miles

To have 95% confidence signifies that if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians

confidence interval covers a range of samples/values in the interval and the higher the % of the confidence interval the more precise the interval is,

7 0
3 years ago
An open rectangular wooden box measures
Nitella [24]

Answer:

  • 1300 cm³

Step-by-step explanation:

Internal dimensions of the box will be smaller considering the thickness of the wood:

  • 21 - 1 = 20 cm
  • 11 - 1 = 10 cm
  • 7 - 0.5 = 6.5 cm  (open top)

<u>The volume is now:</u>

  • 20*10*6.5 = 1300 cm³
5 0
4 years ago
A homeowner wants to build a circular patio. if the diameter of the patio is 20 feet, what is its area to the nearest whole numb
andreyandreev [35.5K]
We are asked to find the area of patio. It is circular so formula used for area is given by:
A= r^{2}  \pi
Where
r = radius = diameter / 2 = 20 / 2 = 10 feet

A = 10^{2} \pi =100 \pi
When we round this to the nearest whole number:
A =100 \pi = 314.159=314ft^{2}
5 0
4 years ago
Please i need help. Thank you!
Assoli18 [71]
The answer is C i think
5 0
3 years ago
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