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3 years ago

What is a real number between 6 4/9 and 6 8/9

Mathematics

1 answer:

kodGreya [7K]3 years ago

6 0

Answer:

6 6/9

Step-by-step explanation:

A real number is very broad. Real numbers consist of;

Rational Numbers
Integers
Whole Numbers
Natural Numbers
Irrational Numbers

Knowing this, 6 6/9, and many more real numbers are between 6 4/9 and 6 8/9.

You might be interested in

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. 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.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

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

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

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

$P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897$

$P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339$

$P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669$

$P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211$

$P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148$

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

$E(X) = np$

In this question, we have $n = 22$

$E(X) = 22*0.75 = 16.5$

The closest integer to 16.5 is 17.

7 0

3 years ago

Which example has the least percent error?

jeyben [28]

Sample 1:
Error = 14 - 13.7 = 0.3
Percentage Error = 0.3/13.7 x 100 = 2.19%

Sample 2:
Error = 24.4 - 24 = 0.4
Percentage Error = 0.4/24.4 x 100 = 1.64%

Sample 3:
Error = 25.8 - 25 = 0.8
Percentage Error = 0.8/25.8 x 100 = 3.1%

Sample 4:
Error = 40.2 - 39 = 1.2
Percentage Error = 1.2/40.2 x 100 = 2.99%

Sample 2 has the least percent error

5 0

4 years ago

hree vertices of a triangle are located at A (4, 3), B (2, 1), and C (3, 4). Which shows the correct graph of the vertices? A. A

bagirrra123 [75]

Answer: Choice A

Point A is plotted 4 units to the right and 3 units above the origin. Point B is plotted 2 units to the right of and 1 unit above the origin. Point C is plotted 3 units to the right and 4 units above the origin

====================================================

Explanation:

The point A(4,3) means we start at the origin and move 4 units to the right and 3 units up. The x and y axis are separate number lines to mark a location

B(2,1) means we move 2 units to the right and 1 unit up

C(3,4) means we move 3 units to the right and 4 units up

Each time we plot a new point, we always start at the origin.

3 0

2 years ago

Two dice are thrown simultaneously find

STALIN [3.7K]

Answer:

13.89%

Step-by-step explanation:

First lets find all possibilities of two dice being thrown, we can do this by finding a simple dice chart online (I attached an image of one to help.)

There are 36 possibilities, and we need to find how often the two dice add together to equal eight. 6+2=8, 5+3=8, etc.

There are five 5 total times that two dice can equal eight. so 5 out of 36 times we roll two dice we'll get eight.

$\frac{5}{36}$

Type that into the ol' handy dandy calculator and we've got 0.1388888889. So... a lot of 8's, we don't need that many and we just can't have an answer with that many.

To make that number into a percentage we have to move the dot two spaces over, and round to the thousandths place (two numbers).

This would give us 13.89%, our final answer.

Hope this helped!

4 0

3 years ago

The robot poured too many ingredients in and had ½ cup of apple pie filling left. he decided to split it up and put an equal amo

mars1129 [50]

Answer:

1/6 cup

Step-by-step explanation:

1/2 cup divided into 3 pies= 1/6 cups

4 0

2 years ago