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Phoenix [80]
2 years ago
7

What is the value of the 19th term in the sequence -1, -5, -9, ...?

Mathematics
2 answers:
Ivanshal [37]2 years ago
8 0
-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4

we observe that the number are in AP

of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________

the correct answer = B
german2 years ago
3 0
The Arithmetic Sequence formula is:
an = a1 + (n-1)(d) where d is the common difference and a1 is the first term in the sequence.
a19 = -1 + (19 - 1)( -4)
a19 = -1 + (18 * -4)
a19 = -1 + (-72)
a19 = -73
LETTER B
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Answer:

The probability of hitting the bullseye at least once in 6 attempts is 0.469.

Step-by-step explanation:

It is given that a mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt.

The probability of hitting bullseye in each attempt, p = 0.10

The probability of not hitting bullseye in each attempt, q = 1-p = 1-0.10 = 0.90

Let x be the event of  hitting the bullseye.

We need to find the probability of hitting the bullseye at least once in 6 attempts.

P(x\geq 1)=1-P(x=0)       .... (1)

According to binomial expression

P(x=r)=^nC_rp^rq^{n-r}

where, n is total attempts, r is number of outcomes, p is probability of success and q is probability of failure.

The probability that the dart thrower not hits the bullseye in 6 attempts is

P(x=0)=^6C_0(0.10)^0(0.90)^{6-0}

P(x=0)=0.531441

Substitute the value of P(x=0) in (1).

P(x\geq 1)=1-0.531441

P(x\geq 1)=0.468559

P(x\geq 1)\approx 0.469

Therefore the probability of hitting the bullseye at least once in 6 attempts is 0.469.

3 0
1 year ago
Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. If he randomly chooses his
ahrayia [7]
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6 0
1 year ago
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What is the value of the expression when n = 3?<br> -2n(5+n - 8 -3n)
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Answer:

54

Step-by-step explanation:

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2 years ago
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Answer:

B) 538, 650

Step-by-step explanation:

Given:

Errors on tax returns filed manually  = 20%

Errors on tax returns filed electronically  = 0.05%

Tax return filled in each way = 2.7 million

Manual filing:

2,700,000 x 20% = 2,700,000*0.2 = 540,000

Electronic filing:

2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350


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There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.

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Answer:

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Step-by-step explanation:

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Generally the distribution of the number of fish the fisher man caught  follows a binomial distribution  

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and the probability distribution function for binomial  distribution is  

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Here C stands for combination hence we are going to be making use of the combination function in our calculators  

So

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