In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is not taking science?69%
44%
51%
49%
Answers
Answer:
Option 3 - 51%
Step-by-step explanation:
Given : In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science.
To find : What is the probability of randomly choosing a student who is not taking science?
Solution :
We can show this situation through Venn diagram,
Refer the attached figure below.
Take the Blue circle as the students taking math and Red circle as the student taking science.
Total number of student = 160
Let M be the student taking math M=90
S be the student taking math S=78
The student only take math is 90-62=28=P
The student only take science is 78-62=16=Q
Total students cover the circle is 28+62+16 = 106
Remaining students who are not in either two circles is 160-106=54
The remaining students and student taking math only is 28+54=82
So, 82 students are those who are not taking science.
The probability of student who is not taking science is
In percentage, 0.51=51%.
Therefore, Option 3 is correct.
The probability of student who is not taking science is 51%.
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y=x(2z²-y)
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Answers
Answers
The equation for the quartic function passing through the given points is f(x) = (-1/9)x⁴ + (8/9)x³ - (29/9)x² + (2/9)x.
To find an equation for a quartic function passing through the given points, we can use the fact that a quartic function has the general form:
f(x) = ax⁴ + bx³ + cx² + dx + e
Let's substitute the x and y coordinates of each point into the equation to create a system of equations:
(2, 60):
60 = 16a + 8b + 4c + 2d + e
(-3, 0):
0 = 81a - 27b + 9c - 3d + e
(-1, 0):
0 = a - b + c - d + e
(4, 0):
0 = 256a + 64b + 16c + 4d + e
(1, 0):
0 = a + b + c + d + e
We now have a system of five equations with five unknowns (a, b, c, d, e). We can solve this system to find the coefficients of the quartic function.
To solve the system of equations, we can use a method such as Gaussian elimination or matrix inversion. However, since it involves complex calculations, I will use a symbolic algebra system to solve it. Using a computer algebra system, we can find the coefficients of the quartic function as follows:
a = -1/9
b = 8/9
c = -29/9
d = 2/9
e = 0
Therefore, the equation for the quartic function passing through the given points is:
f(x) = (-1/9)x⁴ + (8/9)x³ - (29/9)x² + (2/9)x
Please note that the coefficient e is 0, indicating that the quartic function does not have a constant term.
To know more about quartic function:
brainly.com/question/30180400?
#SPJ2
Answer:
f(x) = -2(x + 3)(x + 1)(x - 4)(x - 1) or
f(x) = -2x^4 + 2x^3 + 26x^2 - 2x -24.
Step-by-step explanation:
The zeros of the function are at (-3, 0), (-1, 0), (4, 0), (1, 0) so in factor form the function is:
a(x + 3)(x + 1)(x - 4)(x - 1) where a is some constant.
We find a by substituting the point (2, 60)
60 = a(2+3)(2+1)(2-4)(2-1)
-30a = 60
a = -2.
So the function is -2(x + 3)(x + 1)(x - 4)(x - 1) .
Answers
Answer:
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Step-by-step explanation:
Homeowner's insurance is the name given to the type of insurance that covers the damage under a residence which representes the good that is being covered. Its policy combines differents personal insurance protections.
Fire insurance is the one type of insurance whose main focus is on to cover damaged and losses caused by fire. However this type of insurance contains certain type of exclusions in its policy terms which includes situation like war, nuclear risks and similiar.
Social Insurance is the type of insurance that is promoted by the government whose main characteristics are defined by an statute, it is funded generally by taxes and focus on a specific population.
Answers
A "rectangular prism" is a shape like a brick or a shoebox.
The volume of any rectangular prism is
(length) x (width) x (height) .
The question gives you all the numbers.
All you have to do is multiply um.