Answer:
c
Step-by-step explanation:
The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22)^8 * (8/22)^2 + 10 C9 (14/22)^9 * (8/22)^1 + 10 C 10 (14/22)^10 * (8/22)^)0) that is equal to 0.233
Answer:
There are 178 more boys in Barlow school as compared to Willow school.
Step-by-step explanation:
We are given the following in the question:
Barlow school:
Total number of students = 873
Number of boys =

Willow school:
Total number of students = 630
Number of girls =

Number of boys =
Total number of students - total number of girls

Thus, Barlow school has greater number of boys than Willow school.
Difference between the number of boys =

Thus, there are 178 more boys in Barlow school as compared to Willow school.
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line and b is the y intercept (value of y when x = 0).
Given the equation of two lines as
, the two lines are parallel to each other if
. Also the lines are perpendicular if

Given line BC:
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 4
Hence the slope of the line BC = -3/2
For line AD:
-3x - 2y = 6
-2y =3x + 6
y = -3x/2 - 3
Hence the slope of line AD is -3/2
Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other
Answer: 33.13 in
Step-by-step explanation:
First, let's start with the perimeter of the semicircles.
Since there are two, it is easier to do because the perimeter of the two halves will add to one full circle; so we can just calculate without having to halve anything.
The formula for the perimeter (aka circumference) of a circle is 2πr
Plug the radius into the equation to get 2π4, or 8π
8π ≈ 25.13
The perimeter of the rectangle is 6(4) = 24.
We now have to subtract the diameters of the circles, as they are not on the outside of the figure and won't be counted in the total perimeter. From the 24, we subtract the two diameters, or 16 in.
24 - 16 = 8
The total perimeter then comes out to be 25.13 + 8, or 33.13 in