Eric created a rectangular patio using 1 foot square paving stones which are sold in batches by the Dozen the patio measures 7 f
1 answer:
You might be interested in
Answer:
We accept the null hypothesis and the population mean is $120.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
Sample mean, = $120
Alpha, α = 0.01
Sample standard deviation, s = $25
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
p-value one tail= 0.024
p-value two tail= 0.048
Conclusion:
Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.
Thus, the population mean is $120.
Answer:
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8
Step-by-step explanation:
When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures
∵ Lines s and t are parallel
∴ s // t
∵ Line r intersects lines s and t
∴ Line r is the transversal
∵ Corresponding angles are formed
- Look to the attached figure
∴ ∠ 1 ≅ ∠ 5 ⇒ corresponding angles
∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles
∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles
∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8
