Answer:
The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.
Step-by-step explanation:
We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.
A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.
Let p = probability of voters preferring the incumbent = 66%
n = number of voters polled = 500
<u>So, the mean of the number preferring the incumbent is given by;</u>
Mean = 
= 
= 330 voters
<u>And, standard deviation of the number preferring the incumbent is given by;</u>
Variance = 
= 
= 112.2
So, Standard deviation = 
= 
= 10.59
Do 2^3 first. It is isolated on one side of a set of the + sign.
{8 + [4*(10 - 6)]} / 3 Next do the innermost
{8 + [4*4]} / 3 Do what's in the square brackets.
{8 + 16} / 3
24/3 Divide by 3
The answer is 8
8 <<<< answer.
Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
Answer:
D. <b ≅ <g
Step-by-step explanation:
Given that lines p and q are parallel to each other, therefore the following can be concluded:
✔️<f ≅ <h, this is because they are both Vertical angles.
✔️<d and <h are supplematry, this is because they are same side consecutive interior angles. Consecutive angles are supplematry.
✔️<a and <b are supplematry, this is because they are linear pair angles.
✔️<b cannot be congruent to <g. They are not corresponding angles, nor are they alternate interior angles.
