Answer:
-9.2
Step-by-step explanation:
(7c-18)-2c>0
group like terms: 7c-2c-18>0
add similar elements: 7c-2c=5c
5c-18+18>0+18
Add 18 to both sides
5c-18+18>0+18
simplify
5c>18
divide both sides by 5
5c÷5>18/5
simplify
c>18/5
Answer:
Confidence Interval for the mean
Step-by-step explanation:
Confidence interval is made using the observations of a <em>sample</em> of data obtained from a population, so it is constructed in such a way, that, with a certain <em>level of confidence </em>(this is the statement mentioned in the question), that is, one could have a percentage of probability that the interval, or range around the value obtained, frequently 95%, contains the true value of a population parameter (in this case, the population mean).
It is one way to extract information from a population using a sample of it. This kind of information is what inference statistic is always looking for.
An <u>approximation</u> about how to construct this interval or range:
- Select a random sample.
- For the specific case of a <em>mean</em>, you need to calculate the mean of the <em>sample </em>(sample mean), and, if standard deviation is unknown or not mentioned, also calculate the sample standard deviation.
- With this information, and acknowledged that these values follows a standard normal distribution (a normal distribution with mean 0 and a standard deviation of 1), represented by random variable Z, one can use all this information to calculate a <em>confidence interval for the mean</em>, with a certain confidence previously choosen (for example, 95%), that the population mean must be in this interval or <em>range around this sample mean.</em>
Answer:
An expression is shown below:
10n³− 15n² + 20xn² − 30xn
Part A: Rewrite the expression so the GCF is factored completely. (4 points)
10n³− 15n² + 20xn² − 30xn
2*5*n*n*n-5*3*n*n+2*5*2*x*n*n-2*5*3*x*n
<u>Greatest</u><u> </u><u>common</u><u> </u><u>factor</u><u>=</u><u>5</u><u>*</u><u>n</u><u>=</u><u>5</u><u>n</u>
Part B: Rewrite the expression completely factored. Show the steps of your work.
Solution given;
10n³− 15n² + 20xn² − 30xn
5n(2n²-3n+4xn-6x)
5n(2n²+4xn-3n-6x)
5n(2n(n+2x)-3(n+2x))
<u>5n(n+2x)(2n-3</u>)
Answer:
<u>1.</u> 2.328×
<u>2.</u> 487
<u>3.</u> 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
<u>1.</u>
(sub for t=8)
=
=
=2.328×
<u>2.</u>
(sub for s=4 and t=8)
=2×4×
-
=512-25
=487
<u>3.</u>
(the equation is not clear so I will do
as well)
<u>FOR</u> 
(sub s=4 and t=8)
=2×
-
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
<u>FOR</u> 
(sub s=4 and t=8)
=2×
-
=32-32
=0