Answer:3.42
Step-by-step explanation:to get the answer to a area equation you need to multiply the length by the width.
Answer:
(-1, -2)
Step-by-step explanation:
4x - 7y = 10
3x + 2y = -7
The common multiple of the x coefficient is 12.
Multiple 3 to 4 to get 12; 4 to 3 to 12:
3(4x - 7y = 10)
4(3x + 2y = -7)
12x - 21y = 30
12x + 8y = -28
Subtract the two equations:
-29y = 58
y = -2
Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:
3x + 2(-2) = -7
3x - 4 = -7
3x = -3
x = -1
The order pair solution is like a coordinate: (x, y)
You are welcome!
Kayden Kohl
9th Grade Algebra II Student
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
Option 1 is incorrect
2) For x < 87
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
Option 3 is correct
4) For x < 77
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
Answer: x < 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.
That leaves you with -8x > -56.
To get <em>x</em> by itself, divide both sides by -8 but watch out.
If you divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
So we have x < 7.
