Explanation:
sin
x
(
2
sin
x
+
1
)
=
0
Use trig table and unit circle -->
a. sin x = 0 => x = 0, and
x
=
π
and
x
=
2
π
b. 2sin x + 1 = 0 =>
sin
x
=
−
1
2
=>
x
=
7
π
6
and
x
=
11
π
6
.
Finally, within interval
[
0
,
2
π
]
,
there are 5 answers:
0
,
π
,
2
π
,
7
π
6
and
11
π
6
Speed = distance/time
Time = distance/speed
Time = 48/5
Time =9.6 metres
Answer:
1
Step-by-step explanation:
10 = 4x+6
-4x = -10+6
-4x = -4
x = -4/-4
x = 4/4
x = 1
Answers with step-by-step explanation:
1. (7x + x) + 7x
= 7x + 7x + x
= 14x + x
= 15x
2. 5 * (4 * x)
= 5*4x
= 20x
3. 15y + (x + 9y)
= 15y + 9y + x
= 24y + x
4. (6x + 21) + 14
= 6x + 21 + 14
= 6x + 35
5. 3x + 2 + 11x
= 11x+ 3x + 2
= 14x + 2
6. (x + 13y) + 8y
= 13y + 8y + x
= 21y + x
7. (12y + 2x) + 4y
= 12y + 4y + 2x
= 16y + 2x
8. 8 (x4)
= 32x
9. 3 (5x)
= 15x
10. 3x + (7x + 10)
= 3x + 7x + 10
= 21x + 10
11. 5x + (2 + x)
= 6x + 2
12. 4 * x * 10
= 4 * 10 *x
= 40x
13. (x * 12) * 3
= 36x
14. 14x + 9y + 6x
= 20x + 9y
15. 5x + (24 + 14x)
= 19x + 24
Answer:
a) 
And rounded up we have that n=4906
b) For this case since we don't have prior info we need to use as estimatro for the proportion 
And rounded up we have that n=6724
Step-by-step explanation:
We need to remember that the confidence interval for the true proportion is given by :
Part a
The estimated proportion for this case is 
Our interval is at 90% of confidence, and the significance level is given by 
and 
. The critical values for this case are:
The margin of error for the proportion interval is given by this formula:
(a)
The margin of error desired is given 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Replacing we got:
And rounded up we have that n=4906
Part b
For this case since we don't have prior info we need to use as estimatro for the proportion
And rounded up we have that n=6724
