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2 years ago

An arithmetic sequence is given by the formula Ln= 42+11n.

1 answer:

Nadusha1986 [10]2 years ago

7 0

First term = 42 + 11 x 1 = 53
Last term = 42 + 11 x 2000 = 22042
Sum of 2000 terms = (2000/2)(53 + 22042) = 1000 x 22095 = 22 095 000

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The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable

lesantik [10]

Answer:

0.4353 = 43.53%

Step-by-step explanation:

The times are exponentially distributed, so let's call n the mean, and x the time of transaction. The times of the transaction occurs in a certain time is:

$e^{-x/n}$

So, the probability that a car complete the transaction in less than 4 minutes, is 1 less the times it does it at 4 minutes:

P = 1 - $e^{-4/7}$

P = 0.4353

P = 43.53%

8 0

3 years ago

11/6 = n + 7/9 what is n

LuckyWell [14K]

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

To isolate n, we want to subtract 7/9 from both sides.

11/6 - 7/9 = n

To subtract these fractions, they need to have the same denominator. A common multiple of 6 and 9 is 18.

11/6 ⇒ 33/18

7/9 ⇒ 14/18

33/18 - 14/18 = 19/18

n = 19/18

Hope this helps!

6 0

3 years ago

IF:

castortr0y [4]

So they go up and first they double then triple etc do the answer would be 3050

4 0

4 years ago

Add 7/8 + 2 3/24 + 6 1/6

natali 33 [55]

Answer:

9 4/24 or 9 1/6

Find the LCM(lowest common multiple) of 8, 24 and 6.
The LCM of 8, 24 and 6 is 24.
We now want to turn all the denominators into 24 so we are going multiply 7/8 by 3 and 1/6 by 4. We won't need to turn the denominator of 3/24 into 24 because it's already 24
Whatever you do to the denominator you have to do to the numerator, so you also have to multiply the numerator of 7/8 by 3 and the numerator of 1/6 by 4
That now results in 21/8 + 2 3/24 + 6 4/24
Now you have to add all the fractions together which is going to equal to 28/24
Because 28/24 is more than the whole, subtract 28 from 24 which gives us 4. That 4 is now our new numerator
We are now going to all the whole numbers 6+2+1=9. Incase you're wondering, the '1' came from the 28/24
The answer you should get should be 9 4/24 or if it should be simplified it would be 9 1/6

3 0

3 years ago

Based on the Census, state A has 17 fewer electoral votes for president then state B. If the total number of electoral votes for

makkiz [27]

X = B.......x - 17 = A

x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes

x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes

6 0

4 years ago