Hello :
<span> the axis of symmetry is the line for equation : x = 2
the </span><span>vertex is the point : A (2 , 4)</span>
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
y = - x - 2
Step-by-step explanation:
y=mx+b
m refers to slope
b refers to y intercept
y = (-1)x + (-2)
y = - x - 2
Answer:
a) 0.4770
b) 3.9945
c) z-statistics seem a large value
Step-by-step explanation:
<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>
Based on the null hypothesis:
: 0.35
and the standard deviation σ = 
=
≈0.4770
<u>b. Find the z statistic</u>
z-statistic is calculated as follows:
z=
where
- X is the proportion of employees in the survey who take advantage of the Credit Union (
) - is the proportion in null hypothesis (0.35)
- s is the standard deviation (0.4770)
- N is the sample size (300)
putting the numbers in the formula:
z=
= 3.9945
<u>c. Does the z statistic seem like a particularly large or small value?</u>
z-statistics seem a large value, which will cause us to reject the null hypothesis.
