Answer:
84ft
Step-by-step explanation:
w = 2/3(L)
if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet
perimeter = 2L + 2W
but W=2/3(L)
therefore, perimeter = 2L + 2(2/3L)
P= 2L + 4/3(L)
P= 10/3(L)
but P= 280
therefore 280= 10/3(L)
L = (3×280)÷10
L= 84 feet
Answer:
The choice 210
Step-by-step explanation:
![3{[3(9 - 2)] +[7(8 - 1)] }\\ 3[3(7) + 7(7)] \\ 3[21 + 49] \\ 3[70] \\ = 210](https://tex.z-dn.net/?f=3%7B%5B3%289%20-%202%29%5D%20%2B%5B7%288%20-%201%29%5D%20%7D%5C%5C%203%5B3%287%29%20%2B%207%287%29%5D%20%5C%5C%203%5B21%20%2B%2049%5D%20%5C%5C%203%5B70%5D%20%5C%5C%20%20%3D%20210)
I hope I helped you^_^
If I am interpreting your question (which you did not ask), you want to know how many bags were sold.
2430/10 = 243 bags with 10 apples in each bag were sold.
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is
= 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:


Using the Z test statistics which can be expressed by the formula:





Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.