Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
So,
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
1
Step-by-step explanation:
angles on a straight line are 180 so u do 180 minus 47 gives u 133
Answer: The system of equation is,
2 ( x + y ) = 50
x = 2 y - 5
Step-by-step explanation:
Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.
Thus, the perimeter of the brownie = 2 ( x + y )
But, According to the question,
Perimeter of the brownie = 50,
2 ( x + y ) = 50
The length of the brownie is 5 less than twice the width,
That is, x = 2 y - 5
Thus, the required system of equation is,
2 ( x + y ) = 50 , x = 2 y - 5
