Answer:
The Correct Answer are
- The ordered pair (2, 3) is not a solution to the system of linear equations.
- When (2, 3) is substituted into the first equation, the equation is true.
- When (2, 3) is substituted into the second equation, the equation is false.
Step-by-step explanation:
The Correct Answer are
- When (2, 3) is substituted into the first equation, the equation is true.
3x + 4y = 18 equation ( 1 )
3×2 + 4×3 = 18
6 + 12 = 18
18 = 18
- When (2, 3) is substituted into the second equation, the equation is false.
2x – 2y = 2
2×2 - 2×3= 4 - 6 = -2≠2
- The ordered pair (2, 3) is not a solution to the system of linear equations.
Solution means if we (2, 3) Substitute in both the Equation it Must Satisfy
But in Equation 1 it Satisfy
and in Equation 2 Not satisfy
Therefore It is NOT a solution to the system.
A) 20.93%
B) 20%
C) 59.07%
Explanation
A) The total area of the rectangle is 6(10) = 60 ft². The area of the circle is 3.14(2²) = 12.56. This makes the probability of hitting the circle is 12.56/60 = 20.93%.
B) The total area of the rectangle is 60. The area of the trapezoid is 1/2(2+4)(4) = 12 ft². This makes the probability of hitting the trapezoid 12/60 = 20%.
C) The areas of the circle and trapezoid together are 12+12.56 = 24.56. This makes the rest of the area 60-24.56 = 35.44. This gives us the probability of not hitting the circle or trapezoid 35.44/60 = 59.07%
The probability of no boys being chosen will be 0.29.
<h3>What is probability?</h3>
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.
Two students must be selected at random to be in the fall play.
Then the probability of no boys being chosen will be
Total event = ²²C₂ = 231
Favorable event = ¹²C₂ = 66
Then the probability will be
P = 66 / 231
P = 0.2857
P ≅ 0.29
More about the probability link is given below.
brainly.com/question/795909
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Answer:
Step-by-step explanation:
(x / -5) + 7 ≥ 1
Answer:
x > 4
Step-by-step explanation:
7x + 2 > 30
Subtract 2 from each side
7x + 2-2 > 30-2
7x > 28
Divide each side by 7
7x/7 > 28/7
x > 4
