Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5
Answer:
2:1
Step-by-step explanation:
average age of both = 40
average age of teachers = 35
average age of professors = 50
35 + 35 + 50 = 120
120 / 3 = 40
Joining midpoints(a line segment MN is formed) tells you that you have a line MN that is 1/2 the length of GH
MN = 1/2 GH
MN = 1/2 (8x + 2)
13 = 1/2 (8x + 2) Multiply both sides by 2
13 * 2 = 8x + 2
26 = 8x + 2 subtract 2 from both sides.
26 - 2 = 8x
24 = 8x Divide by 8
24/8 = x
x = 3
The answer is yes, but how to show it. Use the formula
Suppose you go from 40 degrees Fahrenheit to 41 degrees Fahrenheit
The degrees C for 41o F degrees is C = 5/9(F - 32) = 5/9(41 - 32) = 5o C
The degrees C for 40o F degrees is C = 5/9(F - 32) = 5/9(40- 32) = 4.44
The difference is 0.555555
What this means is that for every degree Fahrenheit, the Celcius amount of degrees is a little over 1/2 a degree. the 5/9 should give you the clue you need.
Now here's where you need to put your thinking cap on. Which one is bigger? If you move up one degree on one scale and only 1/2 a degree on the other, Isn't the one that moved only 1/2 a degree the larger measurement?