Answer:
Because the p-value of 0.0828 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of soda in all the bottles filled that day does not differ from the target value of 300 milliliters.
Step-by-step explanation:
The null hypothesis is that the sample mean does not differ from the population mean.
If p < α, we reject the null hypothesis.
If p > α, we do not reject the null hypothesis.
p values are between 0 and 1.
Complete question :
Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.
Millitary status _________ female ____ Male
In armed forces _________ 28 _______ 59
Millitary dependent ______ 928 ______ 781
Civilian _______________ 26393 ___27330
Answer:
Male = 0.4193
Female = 0.5087
Step-by-step explanation:
To obtain the marginal distribution of gender :
Total number of civilians (male + female)
(26393 + 27330) = 53,723
Male :
P(male) = number of male / total
P(male) = 26393 / 53,723 = 0.4912793
P(Female) = number of Female / total
P(Female) = 27330 / 53,723 = 0.5087206
Answer:
Step-by-step explanation:
The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1
Answer:
Step-by-step explanation:
we know that
The area of rectangle is equal to
we have
substitute the given values in the formula of area
Remember that
----> by completing the square
substitute
Simplify
Answer:
y = 3z - 2x
Step-by-step explanation:
Systems of equations can be solved by a number of know techniques, such as substitution, elimination or graphical approach.
We are required to solve the system of equations given via substitution;
2x + y = 3z
x + y = 6z
The question requires us to determine the value for y from the first equation, that could be substituted into the second equation.
We simply need to make y the subject of the formula from the first equation;
2x + y = 3z
To do this we subtract 2x on both sides of the equation;
2x + y -2x = 3z - 2x
y = 3z - 2x
This is the value of y from the first equation, that can be substituted into the second equation.