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.
Let, the numbers = x, (x+2), (x+4)
x+x+2+x+4 = 63
3x+6=63
3x=57
x = 19
so, smallest number would be 19
Answer:
first you subtract 2 from both sides
-6x>18
then you divide
-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3
Answer:
$4.70 + $4.75m = $18.95 which is 3 miles in total.
Step-by-step explanation:
First make the numbers without the variables on one side.
4.75m = 18.95-4.70
Then subtract.
4.75m = 14.25
Finally divide the two numbers.
14.25 ÷ 4.75 = 3 miles
Answer: m = 3 or 3 miles
Answer:
(x + 3) cm.
Step-by-step explanation:
Area = 2x^2 + 8x + 6
= (2x + 2)(x + 3)
The width = area / length
= (2x + 2) (x + 3) / (2x + 2)
= x + 3 cm.