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2 years ago

What is the explicit formula of the arithmetic sequence? -9, -6, -3, 0....

Mathematics

1 answer:

luda_lava [24]2 years ago

4 0

Answer:

Tn= -9+(n-1)×3

Step-by-step explanation:

d= t2-t1 =t3-t2....

=-6-(-9)=3

We realize that this is an arithmetic sequence

Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3

Tn=-9+(n-1)×3

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Courtney needs blue and brown ribbon to use to make a bow for a dress. According to her pattern she needs 11.2 inches of brown r

Stells [14]

Answer: Expression used to find the total ribbon she used = x+11.2

Explanation:

Let the length of blue ribbon to use to make a bow for a dress be x

And

The length of brown ribbon is used to make a bow for a dress = 11.2 inches

Expression need to find the total ribbon she used will be sum of blue and brown ribbon altogether

i.e. x+11.2 inches

So, the required expression will be x+11.2 inches

5 0

3 years ago

The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that $p = 0.16$

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136
$

0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

$E = \frac{n}{p}$

In this question, $n = 1, p = 0.16$ . So

$E = \frac{1}{0.16} = 6.25$

The expected number of at-bats until the next home run is 6.25.

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2 years ago

I need some help and can you please show your work? Thank you have a good day

SVEN [57.7K]

$1.75

If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.

7/4 = $1.75

Now if you buy 4 lemons that cost $1.75, your total will add up to $7

3 0

2 years ago

What plus what equals 68

allochka39001 [22]

67+1=68. 54+14=68 their are more than that just subtract a number from it and use it And you will find the answer

5 0

3 years ago

Read 2 more answers

Pls look at the picture and answer question.

djyliett [7]

Answer:

it's below in the explanation

Step-by-step explanation:

3/9 = 9/3

6/8=8/6 or

6/9= 9/6

2/4= 4/2

1/7= 7/1

1/4=4/1

2/5=5/2

3/5=5/3

5/6=6/5

Please give me Brainliest!

7 0

2 years ago