Answer:
The hypothesis test is right-tailed.
Step-by-step explanation:
We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.
Let p = <u><em>proportion of adults who are in favor of raising the voting age to 21</em></u>
So, Null Hypothesis,
: p
50%
Alternate Hypothesis,
: p > 50%
As we know that the majority is there when we have more 50% chance of happening of that event.
Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.
On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.
This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.
Answer:
792 m^2
Step-by-step explanation:
We can split the shape up into two different shapes. The first shape is the bigger rectangle, with an area of 18 x 30. The second shape will have an area of 6 x (60-18). This is because we have to subtract the length of the large rectangle's side. The two areas are 540 and 252. When we add them together, we get 792. Since this is the area, it will be squared, leaving us with 792 m^2.
Hope this helps :)
Answer:
<h2>a) Average velocity = 1.25 m/s to the right</h2><h2>b) Average speed = 3.75 m/s</h2>
Step-by-step explanation:
A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s.
Total displacement = 20 - 10 = 10 m to the right
Total time = 5+3 = 8 s
Total distance = 20 + 10 = 30 m
a) We have
Total displacement = Average velocity x Time
10 = Average velocity x 8
Average velocity = 1.25 m/s to the right
b)We have
Total distance = Average speed x Time
30 = Average speed x 8
Average speed = 3.75 m/s
Answer:
1.8
Step-by-step explanation:
Solve for x
90
x
=
81
+
25
x
2
Subtract
25
x
2
from both sides of the equation.
90
x
−
25
x
2
=
81
Subtract
81
from both sides of the equation.
90
x
−
25
x
2
−
81
=
0
Factor the left side of the equation.
Tap for more steps...
−
(
5
x
−
9
)
2
=
0
Multiply each term in
−
(
5
x
−
9
)
2
=
0
by
−
1
Tap for more steps...
(
5
x
−
9
)
2
=
0
Set the
5
x
−
9
equal to
0
.
5
x
−
9
=
0
Solve for
x
.
Tap for more steps...
x
=
9
5
The result can be shown in multiple forms.
Exact Form:
x
=
9
5
Decimal Form:
x
=
1.8
Mixed Number Form:
x
=
1
4
5
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