Answer:
Step-by-step explanation:
Equation of line
y = mx + c
m = slope and c is the intercept on y-axis
Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:

<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is:

At the alternative hypothesis, it is tested if there is a difference, that is:

<h3>What is the test statistic?</h3>
The test statistic is given by:

The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
In this problem,
is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
.
Hence, the test statistic is:



More can be learned about the t-distribution at brainly.com/question/16313918
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
Answer:
yes?
Step-by-step explanation:
is this a true or false question
(its true)
<span>2x+2y=32 and xy=60
--> x+y=16 and xy=60
--> y = 16-x
--> x(16-x)=60
so we have a quadratic, which needs to be solved. Hopefully by factorization. If not..the quadratic formula.
1x60
2x30
3x20
4x15
5x12
6x10
looking at these, 6 and 10 can add to make 16, so
(x-10)(x-6) = 0
so x-10=0 OR x-6=0
so x=10 OR x=6
so, basically we have x=10, so y=6
or we have the opposite, x=6 and y=10
hope this helps</span><span />