Answer:
The correct option is A: they are equidistant from origin
Step-by-step explanation:
Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.
Hope that answers the question, have a great day!
Let x be the number of members in Daniel's tennis team.
The amount made = $582.85
Expenses (food and drinks) = $64
Balance remaining for sharing = 582.85 - 64 = $518.85
Amount received by each player = (amount made - Expenses)/Number of members = 518.85/x
Answer:
Option D
Step-by-step explanation:
correct answer on edge :)
Answer:
a. 
μ = $24.57
μ ≠ $24.57
b. 0.12
c. we fail to reject the null hypothesis since p ≈0.12 > 0.05
d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96
Step-by-step explanation:
a)
μ = $24.57
μ ≠ $24.57
b)
To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis
z-score can be calculated as follows:
where
- X= $23.89
- M is the mean value under null hypothesis ( $24.57)
- s is the sample standard deviation ($2.40)
- N is the sample size (30)
Putting the numbers in the formula we get
≈ −1,5518
The corresponding p-value is <em>two tailed </em>and ≈ 0.12
c)
since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>
d)
Critical value for the 0.05 significance level in two tailed test is :
c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>
Answer:
A. 6 units left and 9 units down
Step-by-step explanation:
Given:
y = (x – 5)^2 + 7
y = (x +1)^2 - 2
The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up
The graph of y = (x +1)^2 - 2 is a parabola 1 unit left and 2 units down
Transformation is the difference in the shift
Transformation = 6 units left and 9 units down.
Therefore, answer A. 6 units left and 9 units down
Hope this will helpful.
Thank you.
