Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



Answer:
16 cm^2
Step-by-step explanation:
Formula = 1/2 * base * height
1/2 * 8 * 4 = 16
16 cm^2
Answer:
x = 41.67
Step-by-step explanation:
The above equation, would be simplified or divided into parts;
Therefore, the given equation becomes;
A/x = B/C
Where;
A = (15.2*0.25-48.51/14.7)
B = (13/44-2/11-5/66/2.50)1.2
C = 3.2+0.8(5.5-3.25)
x = unknown variable.
<u>Part A</u>
(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)
A = (3.8 - 3.3)
A = 0.5
<u>Part B</u>
(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2
B = 0.09 * 1.2
B = 0.108
<u>Part C</u>
(3.2+0.8(5.5-3.25)
C = 4*(2.25)
C = 9
<em>Substituting the values into the equation, we have;</em>
0.5/x = 0.108/9
<em>Cross-multiplying, we have;</em>
9 * 0.5 = 0.108x
4.5 = 0.108x
x = 4.5/0.108
x = 41.67
Answer:
The answer is 6.56
Step-by-step explanation:
11.20 is the total. You multiply that by .15 and get $1.68 for the tip. You multiply $11.20 by .05 for the tax and get $.56. You add them together and get $13.44. You subtract that from $20.00 and get $6.56