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Ugo [173]
3 years ago
15

An=128 •(1/2)^n-1 a5=? ^fifth term

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:

8

Step-by-step explanation:

128•(½)^(5–1)

128•(½)⁴

128/16 = 8

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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
Xiao bought ​ 4310 ​ gallons of gas that cost $2.50 per gallon.
Vikentia [17]

Answer:

$10775

Step-by-step explanation:

If 1 gallon of gas is $2.50, then the cost of 4310 gallons of gas will be:

4310 * 2.50

= $10775

Hope this answer was helpful!!

8 0
3 years ago
Read 2 more answers
Toby pulled weeds and earned $22.50 for three hours of work. How much will he earn tomorrow if he works for 2 hours?
postnew [5]
How many hours total?
8 0
2 years ago
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F(x)=1/3x4x^ <br> How do I find F(4)
djverab [1.8K]
Assuming yo meant
f(x)=(1/3)4x²


sub 4 for x
f(4)=(1/3)4(4)²
f(4)=(1/3)4(16)
f(4)=(1/3)64
f(4)=64/3


8 0
3 years ago
Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.​
lawyer [7]

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

8 0
3 years ago
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