Answer: 3
Step-by-step explanation: [ 3.6 ] represents the greatest integer function [ x ]
If x is an integer use that integer
If x is not an integer use the next smaller integer
[ 3.6 ] is not an integer, hence
[ 3.6 ] = 3
That is what it looks like
6/5 because how do you convert a percentage to a decimal? First you move the decimal points over by two, so you start off with 120 and end with 1.20. There are many ways you can go from here. If you have a graphing calculator like i do, then you type in 1.20 hit the "math" button, hit enter and a fraction already in its simplest form is given. I hope this helps, have a great day.
Complete question :
A company is manufacturing highway emergency ares. Such ares are sup- posed to burn for an average of 20 minutes. Every hour a sample of ares is collected, and their average burn time is determined. If the manufacturing process is working cor- rectly, there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes. The quality engineer in charge of the process believes that if 4 of 5 samples fall outside these bounds then this is a signal that the process might not be performing as expected. Each morning the sampling begins anew. Let X denote the number of samples drawn in order to obtain the fourth sample whose average value is outside of the above bounds. Find the probability that for a given morning X = 5, hence there seems to be a problem right away.
Answer:
0.0285
Step-by-step explanation:
We are to find the probability for a given morning that X = 5
From the question, we could see that there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes and the success of the process is obtained after the fourth or fifth sample.
Thus, r = 4; q = 0.68
The probability average burn time falls outside p will be:
p = 1 - 0.68 = 0.32
The random variable X follows negative binomial distribution.
Therefore,
Where, x = 5
r = 4
p = 0.32
Substituting figures in the equation, we have:
= 0.0285
The probability that for a given morning X = 5 is 0.0285
Breanna used
pounds of clay for her project.
Step-by-step explanation:
Step 1; First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same. To convert this fraction 1
, we multiply 1 with 8 and then add 4 and keep the 8 as the denominator so we get
1
= (1 × 8) + 5 / 8 =
.
Step 2; After conversion, it's just a matter of subtraction. To calculate the clay she used for her project, we subtract the clay she had after from the clay she had before doing the project. While subtracting two fractions, if denominators are equal we subtract the numerators and keep the denominator the same.
-
=
=
.
So Breanna used
pounds of clay for her project.