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diamong [38]
3 years ago
12

A geometric sequence has an initial value of 2 and a common ratio of 3. Which formula would be more practical to use if you were

looking find the value of the 19th number in the sequence?
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

19th term = ar^18

19th term = 774,840,978

Step-by-step explanation:

First term, a = 2

Common ratio, r = 3

nth term of a geometric sequence = ar^(n-1)

19th term = ar^(19-1)

19th term = ar^18

= 2 × 3^18

= 2 × 387,420,489

= 774,840,978

19th term = 774,840,978

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Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards
amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

                                       a < b < c.

- The total possible combinations with 3 numbered cards will be:

                                       a b c

                                       b a c

                                       a c b

                                       b a c

                                       b c a

                                       c a b

- We have 6 possibilities for 3 numbered cards. So the probability of  of each subsequent card being larger than the previous drawn card would be:

                                     P = 1 / possible combinations

                                    P = 1 / 6

6 0
3 years ago
Write the equation of the line whose slope is m=−9 and y-intercept is (0,5) in Slope Intercept Form. Show all work below.
alexgriva [62]
Y=mx+b is slope intercept form...
m=slope
b=y-intercept
Answer- y=-9+5
5 0
2 years ago
Read 2 more answers
PLEASE HELP !
ki77a [65]

Answer:C and E

Step-by-step explanation:

4 0
3 years ago
The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation
weqwewe [10]

Answer:

(a)z=-1

(b)48.5 pounds

(c)61.5 pounds

Step-by-step explanation:

z-score=\dfrac{x-\mu}{\sigma}

Given:

Mean, μ = 55 pounds

Standard deviation,σ = 6 pounds.

(a)For a dog that weighs 49 pounds.

x=49 pounds

The z-score

=\dfrac{49-55}{6}\\=\dfrac{-6}{6}\\\\=-1

(b)When a dog has a z-score of -1.09

-1.09=\dfrac{x-55}{6}\\x-55=-6.54\\x=55-6.54\\x=48.46 \approx 48.5$ pounds (to the nearest tenth)

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

1.09=\dfrac{x-55}{6}\\x-55=6.54\\x=55+6.54\\x=61.54 \approx 61.5$ pounds (to the nearest tenth)

The weight of a dog with a z-score of 1.09 is 61.5 pounds.

3 0
3 years ago
In the number 3.637945 the place value of the 9 is ??
lesya692 [45]

the place value of the 9 is the ten thousandths

4 0
2 years ago
Read 2 more answers
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