Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
The answer is 43.01, because it is a 5-sided shape like a pentagon. Thus using the formula of to find the area of a pentagon, you will find the area of the shape.
Answer:
x=2 and y=1
Step-by-step explanation:
1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:
-2x-3(6x-11)=-7
2). Then, you distribute the "-3" to all the terms inside the parenthesis.
-2x-18x+33=7
3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.
-2x-18x=-40
4.) Then, you combine all of the terms containing an x.
-20x=-40
5). Finally, you divide both sides by -20 and the outcome is x=2.
6). Hold up...we ain't done yet..
7). Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.
y=6(2)-11
8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.
y= 12-11
9). Do the math...and the answer is y=1.
Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by
the z-score of 80% level of significance = 1.282
(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)
