Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.
<span>ratio of the surface area of the sphere to the surface area of the cube
=
</span>4nr^2 / <span>24r^2 = n/6
answer
</span><span>A.
n/6</span>
Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
and the system of hypothesi on this case are:
Null Hypothesis: 
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.
Answer:
We conclude that total cost/bill will be: $27.81
Step-by-step explanation:
Given
The cost of an iPhone case = $27
Additional expense = 3% = 3/100 = 0.03
To determine
Total bill = ?
The expense amount can be calculated by multiplying the cost of an iPhone case by the additional expense
i.e.
Expense Amount = cost of an iPhone case × additional expense
= 27 × 0.03
= $0.81
The total cost is calculated by adding the expense amount and the original cost of an iPhone case.
i.e.
Total cost/bill = Expense Amount + cost of an iPhone case
= $0.81 + $27
= $27.81
Therefore, we conclude that total cost/bill will be: $27.81
The question is asking you to organize the data in line plot form. to do so you must create a number line (which in this case is provided for you) and put X's above the numbers. for example lets say your given the following data :
1, 2 ,2 , 4 , 1 , 3 , 2 , 5
this is how you would graph it in line plot form
x . x
x . x . x . x . x
_________________________________________
1 . . . 2 . 3 . 4 . 5
but in your case not al the numbers listed are on the plot so instead you do this:
x . x
x . x . x . x . x
___________________________________
1 . 3 . 5 .
plot as if the numbers are there. ( as usual spacing is important)