Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
<u>ANSWER: </u>
The slope of the given equation is -2 and a point on the given line is (-1, 3)
<u>SOLUTION:</u>
Given, linear equation in two variables is y – 3 = -2(x + 1) ----- eqn (1)
We need to find the slope of the given equation and a point through which the given line passes.
Given equation is in the form of point slope form .i.e 
--- eqn 2
where,"m" is the slope of the line
is point on that line.
Now, by comparing (1) and (2)
m = -2
so, the slope of the given equation is -2 and a point on the given line is (-1, 3)
Answer:
sinQ=cosR
Step-by-step explanation:
First we need to find out the measure of ∠R.
The sum of all the angles in a triangle add up to 180. Therefore:
∠Q+∠R+∠S=180
66+∠R+90=180
∠R=180-156
∠R=24°
Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.
sinQ=cosR
sin66=cos24
0.9135454576=0.9135454576
So the second equation is the correct relation.
Answer:
Step-by-step explanation:
95 ÷ 6 = <em>x</em>
<em>x </em>=
