Answer:
The upper 20% of the weighs are weights of at least X, which is 
, in which 
is the standard deviation of all weights and 
is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
The upper 20% of the weighs are weights of at least X, which is , in which is the standard deviation of all weights and is the mean.
Answer:
At (0, -5)
Step-by-step explanation:
The y-intercept (b) is -5 (<em>slope intercept form: y = mx + b</em>) the line will thus cross the y axis at the point (0, -5).
- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
brainly.com/question/6561461
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Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Step-by-step explanation:
y=2.5| ?
x=0.5| 20
It'll be criss-crossed then it'll be:-
2.5×20=50
