Answer:
a) 

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
b) 

So one deviation below the mean we have: (100-68)/2 = 16%
c) 

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
Step-by-step explanation:
For this case we have a random variable with the following parameters:

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.
We want to find the following probability:

We can find the number of deviation from the mean with the z score formula:

And replacing we got


And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
For the second case:


So one deviation below the mean we have: (100-68)/2 = 16%
For the third case:

And replacing we got:


For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
Answer:
of their perimeters is equal to the ratio of their corresponding side lengths. ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
Answer:
x = 5.
First angle = 20°, Second angle = 85°, Third angle = 75°
Step-by-step explanation:
The first angle of the triangle = (4 x)
The second angle of the triangle = (6x + 55)
The third angle of the triangle = (9x + 30)
By ANGLE SUM PROPERTY of a triangle:
First angle + Second angle + Third angle = 180°
⇒ (4 x) + (6x+55) + (9x+30) = 180°
or, (4x + 6x + 9x) + ( 55 + 30) = 180°
or, 19x = 180 - 85
or, 19 x = 95 ⇒ x = 95 /19 = 5
or, x = 5
Hence, first angle of the triangle = (4 x) = 4 x 5 = 20°
Second angle = ( 6x + 30) = 6(5) + 55 = 85°
Third angle = (9x + 30 = 9(5) + 30 = 75°
Answer:
-8/25
Step-by-step explanation:
I took the test and i got it right
Can you give more information?