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hammer [34]
3 years ago
5

Find the coordinate of the midpoint of the segment with the given endpoints.

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

4.5

Step-by-step explanation:

-4.5+-4.5=-9

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The answer is B 12.05L
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Are you able to write?
Volgvan

Answer:

Well isn't anyone able to write?

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Choose the two triangles that are similar
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Answer:triangles 20 12 28 and15 9 21

Step-by-step explanation:

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2 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
zaharov [31]

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between  μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At  95%, the data lies between  μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39   and   83

At 99.7%, the data lies between  μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28   and   94

the probability equivalent to 94 is when  P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %    

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

5 0
2 years ago
Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/16 and the common ratio is 1/4
stepladder [879]
A₅ = 1/16  and r= 1/4

Let see how to build up this formula that is going to give that term of rank n

1st term =a₁ = To be calculated

1st a₁   = a₁  x  r°
2nd a₂  = a₁  x  r¹
3rd a₃  =  a₁  x  r²
4th a₄   = a₁  x  r³
5th a₅   = a₁  x  r⁴
.......................
.......................
nth : a(n) = a₁  x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1

We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.

a(n) = a₁  x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
1/167 = a₁ (1/256) ==> a₁ =16 & the formula becomes
a₅ = 16(1/4)⁴

4 0
3 years ago
Read 2 more answers
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