Answer:
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
Step-by-step explanation:
Definition of vertical angles: Each of the pairs of opposite angles made by two intersecting lines are known as vertical angles.
So, in the given figure there are two intersecting lines named as AC and EB
So, the pair of vertical angles are :
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
Thus these are the pairs of vertical angles in the given figure .
Hence a pair of vertical angles in the figure are :
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
I don't u understand what is the answer to the expression, this is algebra right
Answer:
0.0416
Step-by-step explanation:
Given :
Sample size, n = 300
Sample mean, x = 35.5
Population mean, m = 35
Standard deviation, s = 5
The test statistic :
Zstatistic = (x - m) / s/sqrt(n)
Zstatistic = (35.5 - 35) / 5/sqrt(300)
Zstatistic = 0.5 / 0.2886751
Zstatistic = 1.732
Using the p value calculator from Zstatistic :
One tailed P value at 95% confidence interval is : 0.0416
Answer:
The lower limit of 95% confidence interval is 99002.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $100,000
Sample mean,
= $111,000
Sample size, n = 36
Alpha, α = 0.05
Population standard deviation, σ = $36,730
First, we design the null and the alternate hypothesis

We have to find the lower limit of the 95% confidence interval.
95% Confidence interval:

Putting the values, we get,


The lower limit of 95% confidence interval is 99002.
Answer:
improved mental health
decreased risk of alcohol and drug use