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3 years ago

What it 2/6 simplified

Mathematics

1 answer:

solong [7]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

u find what there greatest common factor is

its 2

then u divide them both by 2 and u get

1/3

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Which equation is a linear function?

Gwar [14]

Answer: y=3*2+2

Step-by-step explanation:

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3 years ago

It took Eduardo 8 hours to drive from buffalo, NY to new York city, a distance of about 400 miles. Find his average speed.

Liula [17]

50 mph

Hope this helped!

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4 years ago

1. What are the first five terms of the sequence given by the formula an = 5n + 1?

Dvinal [7]

The correct answers are:

(1) 6, 11, 16, 21, 26 (Option B)

(2) $~a_1 = 8$ ; $~a_n = a_{n-1} - 2~$ (Option A)

(3) $~a_n = -2 + 3(n-1)~~~~$ (Option D)

Explanations:

(1) Given Sequence:

$a_n = 5n + 1$

Now in order to find the first 5 terms, we need to put n=1,2,3,4,5 in the above sequence and solve.

For n=1: $a_1 = 5(1) + 1 = 6$

For n=2: $a_2 = 5(2) + 1 = 11$

For n=3: $a_3 = 5(3) + 1 = 16$

For n=4: $a_4 = 5(4) + 1 = 21$

For n=5: $a_5 = 5(5) + 1 = 26$

Hence, the first five terms are: 6, 11, 16, 21, 26 (Option B)

(2) Given Sequence:

8, 6, 4, 2, …

Now to find the recursive definition, we need to adopt trial-and-error approach.

As, $a_1 = 8$ (meaning the first element of the sequence is 8), the second or nth value of the sequence can be found by using the following formula:

$a_n = a_{n-1} - d$ --- (1)

Where, n = the index of the number in a sequence

d = difference between two consecutive numbers = 8-6 = 2

Now,

The second number of the sequence has to be 6 by using (1). Put n = 2 and d = 2 in (1):

$a_2 = a_{2-1} - 2$

$a_2 = a_{1} - 2$

Since $a_1 = 8$ , therefore,

$a_2 = 8 - 2 = 6$ (correct)

Hence the correct answer is $a_1 = 8$ ; $~a_n = a_{n-1} - 2~$ (Option A)

(3) Given Sequence:

−2, 1, 4, 7, …

To find the explicit definition, use the following formula:

$a_n = a_1 + (n-1)*d$ --- (X)

Where,

$a_n = nth~term~of~the~sequence \\a_1 = 1st~term~of~the~sequence = -2 \\d = common~difference = 4-1 = 7-4 = 3 \\n = index~of~a~number~in~a~sequence \\$

Plug in the values in (X):

(X)=> $a_n = -2 + (n-1)*3~~~~$ (Option D)

3 0

3 years ago

Read 2 more answers

What is the y intercept

lyudmila [28]

The correct answer is 0.

5 0

3 years ago

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution 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.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$