Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.
Answer:
1.25 × 10^-4
Step-by-step explanation:
Move the decimal until it's at 1.25. You had to go right 4 times so it's negative. If it were 12500 then you'd do it until it was 1.2500 which would be going left so it'd be a positive 4
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.
Answer: See attached images
Step-by-step explanation:
For third period:
Minimum = 67
1st Quartile: 79.5
Median/2nd Quartile: 85
3rd Quartile: 90.5
Maximum = 99
I've attached the image for this class's box plot.
For Sixth Period:
Minimum = 70
1st Quartile: 79.5
Median/2nd Quartile: 88
3rd Quartile: 90.5
Maximum = 95
I've also attached the image for this class's box plot
Answer:
356/1000
Step-by-step explanation: