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3 years ago

Is there a relationship between the difference of the integers and the distance between them?

1 answer:

3 0

Well, there's really no such thing as the "distance between integers",
because numbers are not physical things that you can set on a table.

One way of representing integers is to draw a picture of a "number line",
and put marks at the positions of the integers. When you do that, the
difference between two integers and the distance between their marks
on the number line are exactly the same.

You might be interested in

Find an equation for the nth term of the arithmetic sequence. <br> -3, -5, -7, -9, ...

tankabanditka [31]

Answer:

a(n) = -3 - 2(n-1)

Step-by-step explanation:

The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is

a(n) = a(1) + c(n-1), where c is the common difference.

Here a(1) = -3 and c = -2.

Thus,

a(n) = -3 - 2(n-1).

7 0

3 years ago

A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit

Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

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 a selected component is non-defective is 0.8

This means that $p = 0.8$

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

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

$P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287$

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

$p = (0.8)^8*0.2 = 0.0336$

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0

2 years ago

1+1+2+2+8+19+1234385993 hehe i will brainlest

Tatiana [17]

Answer: 1234386026

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

If y varies inversely with the square of x, and y=6 when x=4, find y when x=0.1

sergejj [24]

Answer:

9600

Step-by-step explanation:

y varies inversely with the square of x

y=k/(x^2)

for some non-zero constant k

y=6 when x=4

6=k/(4^2)

k=96

y=96/(x^2)

x=0.1

y=96/(0.1^2)

y=9600

8 0

2 years ago

Complete the square and put this function in vertex form: f(x)=x^2+20x+97

Fofino [41]

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3 because : 97 = 100 - 3

f(x) = (x+10)² -3 ....vertex form

3 0

3 years ago