Answer:
option a
Step-by-step explanation:
given that at a large Midwestern college, 4 % 4% of the students are Hispanic.
A random sample of 20 students from the college is selected.
We have each student is independent of the other to be hispanic
p = success = being hispanic = 0.04 while
q = failure = being non hispanic = 0.96
X - no of hispanics is thus binomial with p = 0.04 and n =20 (sample size)
Since X is binomial
Var(x) = npq = 0.768
Std dev (x) = Square root of variance =
rounded off it gives 0.88
So option a is right
The formula for interior angle sum is 180(n - 2).
Backtrack it from that.
180(n - 2) = 1980.
1980 / 180 = 11 = n - 2.
11 + 2 = 13 = n.
The polygon has 13 sides.
Given:
Radius of the circle = 4 meters
Measure of arc = 135 degrees
To find:
The area of the sector bounded by the given arc.
Solution:
Formula for area of a sector is:
Where, r is the radius and is the central angle or measure of intercepted arc.
Putting in the above formula, we get
Therefore, the exact area of the given sector is square meters.
Answer: 1. x = -2(y - 4)² + 1
2. x = -y² + 5
3. y = -5(x + 1)² + 2
<u>Step-by-step explanation:</u>
Notes: The vertex formula of a parabola is x = a(y - k)² + h or y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h
x = -2(y - 4)² + 1
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2)
Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h
x = -1(y - 0)² + 5 → x = -y² + 5
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3)
Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k
y = -5(x + 1)² + 2
The answer is option B, see attached picture