1. 15
2. -7
32. 6
You should get Photomath for these simple questions.
The length is 8 and the width is 4
P = L + L + W + W
P = 8 + 8 + 4 + 4
P = 16 + 4 + 4
P = 16 + 8
P = 24
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.
The 9 combinations that exist for two movements:
R,R
R,L
R,U *
L,R
L,L
L,U
U,R *
U,L
U,U
Walker would only be able to make it to (1,1) with only 2 of these combinations.
So if he were only allowed to make two movements, his chances of arriving at (1,1) would be 2/9.
Answer:
Explicit formula is an = 64(-3/4)^(n-1).
Step-by-step explanation:
Looks like a geometric sequence with a negative common ratio.
-48/64 = - 3/4
36 / -48 = -3/4
Now -27/36 = -3/4 so I think there's a typo in the question. Its -27 not -17.
The required formula is 64(-3/4)^(n-1) .