Answer:
The margin of error for a 90% confidence interval is 0.075.
Step-by-step explanation:
We are given that he asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not.
Of the 100 people who phoned in, 70 answered "yes."
Let 
= sample proportion of people who say yes
So, 
= 
= 0.70
where, X = Number of people who say yes = 70
n = Number of people phoned in = 100
<u>Now, Margin of error formula for any confidence interval is given by;</u>
Margin of error = 
where, 
= level of significance = 10%
Standard of error = 
Also, the critical value of x at 5% (
) level of significance is 1.645.
SO,<em><u> Margin of Error</u></em> = 
= 
= 0.075
Hence, the margin of error for a 90% confidence interval is 0.075.
the answer should be 17..
Answer:
w = 70°
x = 70°
y = 40°
z = 40°
Step-by-step explanation:
Notice that two sides of the figure are parallel to each other according to the arrow marking on both sides. This means that by definition this figure must be a parallelogram. This also means that the two other sides must be parallel as well so that there are also two sets of parallel sides.
There is also a transversal (line that cuts across two lines) of which are parallel, this forms different angles which are corresponding, alternate interior, alternate exterior, and supplementary.
70° at <BDC and w are alternate interior which means that they must be the same measure.
Therefore
w = 70°.
Since a parallelogram consists of 2 equal triangles, and we know that two angles are both 70° given that w is 70°, all interior angles must add up to 180° according to the triangle angle sum theorem. So 70° + 70° + y° = 180°.
140° + y° = 180°
–140° –140
Therefore
y = 40°.
Since angle x is exterior and adjacent of (next to) the two interior angles (70° and y), they are supplementary pairs which means that they add up to 180°, because they form a straight line.
Knowing that y is 40°,
x° + 40° + 70° = 180°.
x° + 110° = 180°
–110 –110
Therefore
x = 70°.
Now since angle z is alternate interior of angle y, alternate interior angles have the same measure by definition.
Given that we already know the measure of y = 40°. z must also be 40°
Therefore
z = 40°.
Answer:
x= 4.3125
Step-by-step explanation:
2^2 = 16x - 65
4= 16x- 65
+65 +65
69 = 16x
69/16 =16x/16
4.3125 = x
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48
