<span>We have 2 given numbers:
=> 86 + 68 + 38 = 192
=> 68 + 38 + 86 = 192 also
This kind of process used commutative property system of equation in where:
a + b = b + a
No matter what sequence you are going to use, the answer would always be the
same.
In the given 2 equations, notice that both digits of 2 group of equation
contains the same number. The only difference is they were added with different
orders. Yet the answers are still the same.
</span>
Answer:
99.96%
Step-by-step explanation:
Given the information:
=> the are 25 people in total
Hence, the total possible outcomes of all the members in the 4 committee:
They want us to find the probability that the committee will consist of at least one student, which means that
=(Total possible outcome - committee with no student) / Total possible outcomes
So we need to find the possible outcomes of committee with no student:
= 
=> the probability that the committee will consist of at least one student.
= (12650 - 5) / 12650
= 0.9996
= 99.96%
Hope it will find you well.
Answer:
D
Step-by-step explanation:
D is correct because the sqrt of 91 is 9.5 and 9<9.5<10 makes absolute sense
C is not correct because the sqrt of 33 is 5.7 and 6<5.7<7 does not make sense
B is not correct because the sqrt of 13 is 3.6 and 4<3.6<5 does not make sense
A is not correct because the sqrt of 65 is 8.06 and 7<8.06<8 does not make sense
Answer:
C. (-1,-2)
Step-by-step explanation:
Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.
Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)
So x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Substituting the values of the coordinates, we have
x = (mx₂ + nx₁)/(m + n)
3 = (1 × x₂ + 2 × 5)/(2 + 1)
3 = (x₂ + 10)/3
multiplying through by 3, we have
9 = x₂ + 10
x₂ = 9 - 10
x₂ = -1
y = (my₂ + ny₁)/(m + n)
10 = (1 × y₂ + 2 × 16)/(2 + 1)
10 = (x₂ + 32)/3
multiplying through by 3, we have
30 = y₂ + 32
y₂ = 30 - 32
y₂ = -2
So, the coordinates of B are (-1, -2)
I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?
