Travis is filling a bathtub with water. He made a table showing the number of gallons of water in the bathtub based on the numbe
r of minutes the faucet was on.
Which graph best shows the relationship between the number of minutes and the number of gallons?
Which graph best shows the relationship between the number of minutes and the number of gallons?
2 answers:
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Answer:
y=2x^2 + 2x - 3 x -2 -1 0 1 2
Step By Step Explanation:
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5
Answer:
1 - NORM.DIST(625, 600, 15 ,TRUE)
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In Excel:
We use the norm.dist command.
NORM.DIST(x, mean, standard_dev ,cumulative)
x is the tested value, mean and standard_dev are the mean and the standard deviation, while cumulative we use true to find a probability of a value lower than x, so for a value higher than x, we use:
1 - NORM.DIST(x, mean, standard_dev ,TRUE)
Mean of 600 copies and a standard deviation of 15 copies.
mean = 600, standard_dev = 15
You want to find the probability of selling more than 625 newspapers on any given day.
x = 625
What is the Excel Command
1 - NORM.DIST(625, 600, 15 ,TRUE)