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3 years ago

Given the following sequence, find the 23rd term: 10.5, 11, 11.5, 12, 12.5, . . .

1 answer:

6 0

10.5, 11, 11.5, 12, 12.5...this is an arithmetic sequence with a common difference of 0.5

an = a1 + (n - 1) * d
n = term to find = 23
a1 = first term = 10.5
d = common difference = 0.5

sub and solve

a(23) = 10.5 + (23 - 1) * 0.5
a(23) = 10.5 + 22 * 0.5
a(23) = 10.5 + 11
a(23) = 21.5 <===

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Aleksandr-060686 [28]

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2 years ago

Need help with this question

Elenna [48]

The sum of adjacent angles on a straight line would be 180°.

Since x is on a straight line,what we need to do is to deduct the remaining two angles,here's what the equation would be like:

180°-90°-30°
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2 years ago

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sineoko [7]

Answer:

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Step-by-step explanation:

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2 years ago

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If the die were to be rolled 6000 times, would we expect to obtain exactly 1000 '2's? explain your answer.

ludmilkaskok [199]

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2 years ago

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switc

s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.The probability of at least one pair of neighbors using the same settings is 0.65633

Step-by-step explanation:

Step 1

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent switches

So .the number of Combinations possible with the Transmitters =

2*2*2*2= 16

Step 2

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

Step 3

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

Step 4

So the probability of at least one pair of neighbors using the same settings

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