From the information provided by the statement, you know that
*Ann draws 2/16 of the playground
*Susan draws 6/16 of the playground because she draws 3 times as much as Ann so

*Louise draws 3/16 because she draws half as much as Susan, so

*Sam draws 2/16 because she draws 1 less section than Louise

Now, let x be the fraction of the playground that still needs to be drawn. Then, you have

Therefore, 3/16 of the playground still needs to be drawn.
They are independent because they do not rely on each other.
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)
Hello there!
A C method : you multiply the A and C -> find the factors of AC that can add up to B. (a² + bx + c)
15a² + 14a - 8
you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:
15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a and -6a - 8.
15a² + 20a can be factored like this :
5a(3a + 4)
-6a - 8 can be factored like this :
-2(3a + 4)
So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)
So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)
The X, is added together 3 times but can just be multiplied by 3 since it’s the same variable. The 2 must remain Uncombined because it cannot join the unknown variable (x). Answer is 3x+2