The cost will be same for one session. The cost will be $128.
Step-by-step explanation:
Given,
Initial consultation charges for Plan One = $36
Per session fee = $92
Let,
x be the number of sessions.
O(x) = 92x+36
Initial consultation charges for Plan Two = $86
Per session fee = $42
T(x) = 42x+86
For same cost;
O(x) = T(x)

Dividing both sides by 50

Putting x=1 in T(x)

Putting x=1 in O(x)

The cost will be same for one session. The cost will be $128.
Keywords: function, division
Learn more about functions at:
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Answer:
she will spend 10 hours in class 40 hours studying and 20 hours working
Step-by-step explanation:
if u simply start at 1 hour of class u get to see the pattern example:
class. study. work
1 4. 2
she works twice as long as she is in class and studies 4 times longer than in class so for every hour she is in class do the math for this condition. for every class hour multiply by 4 to get her study time and then multiply her class hour by 2 to get her work hours. keep going until the total time of all activities adds to 70
Answer:
The 90th percentile of the distribution is 6.512 ml.
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.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that 
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then




The 90th percentile of the distribution is 6.512 ml.
9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope of a line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -(-3))/(-2 -8) = 10/-10
m = -1
The slope of the line is -1.