Answer:
ans=13.59%
Step-by-step explanation:
The 68-95-99.7 rule states that, when X is an observation from a random bell-shaped (normally distributed) value with mean and standard deviation , we have these following probabilities
In our problem, we have that:
The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 11 months
So
So:
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What is the approximate percentage of cars that remain in service between 64 and 75 months?
Between 64 and 75 minutes is between one and two standard deviations above the mean.
We have subtracted by is the percentage of cars that remain in service between one and two standard deviation, both above and below the mean.
To find just the percentage above the mean, we divide this value by 2
So:
The approximate percentage of cars that remain in service between 64 and 75 months is 13.59%.
Both 8 and 30 have a common factor of 2
8/30 = 4/15
Answer: 4/15
<u>Solution</u><u> </u><u>:</u><u>-</u>
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
And,
∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )
135° + ∠6 = 180°
∠6 = 180° - 135°
∠6 = 45°
Now,
we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,
∠5 + 45° = 180°
∠5 = 180° - 45°
∠5 = 135°
Thus, the value of angle 5 is 135°
Hope that helps. :)
Answer:
x=12
Step-by-step explanation:
First, you know a triangle is equal to 180. Since you know the sum of the other two angles equal the outside angle, you can make them equal to each other, like 112=6x+3x+4. Combine like terms to 112=9x+4. Subtract 4 on both sides and divide by 9 on both sides to leave x by itself. This will leave you with x=12