Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
slope: -3/5
y-intercept: (0, 4)
slope-intercept form: y = -3/5x + 4
Step-by-step explanation:
<h3><u>
Finding the slope</u></h3>
To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.
Slope formula: 
I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.
(0, 4), (5, 1) → 
This means the slope of the line is -3/5.
<h3><u>Finding the y-intercept</u></h3>
The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).
<h3><u>Finding the slope-intercept form</u></h3>
Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.
point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.
y - (4) = -3/5(x - (0))
Simplify.
y - 4 = -3/5x
Add 4 to both sides.
y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).
Answer:
6.
Step-by-step explanation:
By using the well-known Pythagorian theorem we can write this equation:
7^2=13+b^2 -> b^2=49-13=36
The square root of 36 is obviously 6.
So, the other leg has a length of 6 inches :)
Answer: 9 (2 mark question) and 18 (5 marks questions)
Step-by-step explanation:
Given: Total mark = 108
Let the 2 marks questions be x
Therefore 5 mark question = 2x
ATQ
⇒5(2x)+2(x) = 108
⇒10x+2x =108
⇒12x = 108
⇒x = 108/12
⇒x = 9
Total two mark questions are 9 and 5 mark questions are 18.
please click thanks and mark brainliest if you like :)
Answer: as X approaches positive infinity Y approaches positive infinity and as X approaches negative infinity Y approaches positive infinity
Step-by-step explanation: