14.6 is the constant because no matter how many hours she will work (that number could change) it will always be a linear growth of 14.6.
Answer:
Yes.
Step-by-step explanation:
The two triangles are <em>similar</em> because they have:
- a common angle (90°)
- corresponding sides with lengths in a 3:1 ratio
All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.
Then the hypotenuses of each triangle will lie along the same line.
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.
Answer:
1.01
Step-by-step explanation:
Mean with outliner = (39.55 + 40.51 + 41.01 + 37.76+ 35.32 + 33.28 + 34.38 + 36.48 + 39.87 + 50.32 + 40.59 + 41.71)/12 = 39.23 seconds.
In this case, the outlier comes to be the data: 50.32. If we don't consider that data point, the mean equals:
Mean wihout outliner = (39.55 + 40.51 + 41.01 + 37.76+ 35.32 + 33.28 + 34.38 + 36.48 + 39.87 + 40.59 + 41.71)/11 = 38.22
The difference is: 39.23 - 38.22 = 1.01
