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Hunter-Best [27]
4 years ago
11

What is the sum of ten terms of a finite arithmetic series if the first term is 13 and the last term is 89?

Mathematics
1 answer:
Natali5045456 [20]4 years ago
3 0

Formula for the sum of n terms of a finite arithmetic series is

S_n=\dfrac{a_1+a_n}{2}\cdot n.

If n=10,\ a_1=13,\ a_{10}=89, then

S_{10}=\dfrac{13+89}{2}\cdot 10=51\cdot 10=510.

Answer: 510.

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Sever21 [200]
No a repeating decimals have number repeating such as 555555.
6 0
3 years ago
measurement error that is continuous and uniformly distributed from millivolts is added to the true voltage of a circuit. then t
satela [25.4K]

Question has missing details (Full question below)

Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage

Answer:

Mean = 219

Variance = 4

Step-by-step explanation:

Given

Let X be a random variable measurement error.

X has a discrete uniform distribution as follows

a = 219 - 3 = 216

b = 219 + 3 = 222

Mean or Expected value is calculated as follows;

E(x) = ½(216+222)

E(x) = ½ * 438

E(x) = 219

Variance is calculated as follows;

Var(x) = ((b-a+1)²-1)/12

Var(x) = ((222-216+1)²-1)/12

Var(x) = (7²-1)/12

Var(x) = 48/12

Var(x) = 4

8 0
3 years ago
Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s
Lorico [155]

Answer:

32 miles

Step-by-step explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has  (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way

5 0
3 years ago
55.6666666667 as a fraction
vagabundo [1.1K]

Answer: Step-by-step explanation:

What is 5.56666666667 as a fraction?

To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000

And finally we have:

5.56666666667 as a fraction equals 556666666667/100000000000

7 0
4 years ago
Write as fraction in its lowest form: 0.342 *
malfutka [58]
171/500....... is the answer
7 0
3 years ago
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