Answer:
or Subtract the same value from both sides.
Clear out any fractions by Multiplying every term by the bottom parts.
Divide every term by the same nonzero value.
Combine Like Terms.
Factoring.
Expanding (the opposite of factoring) may also help.
Recognizing a pattern, such as the difference of squares.
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Solving Equations - Math is Fun
Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.
Up 4, over 12. 4/12 or 1/3.
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
Answer:x=-14.75
Step-by-step explanation:
f(x) = -7x - 19=-19
g(x) = 0.75x + 4.25 =4.25