Estimate the following product in scientific notation, and then select best answer for the products power of 10.
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Answer:
Step-by-step explanation:
Let y be the amount of water in the bottle x seconds after the faucet was turned on.
We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.
We have two points on the line and
.
Let us find slope of the line passing through these points.
We will write our required equation in slope-intercept form , where, m represents slope and b represents the y-intercept.
Let us find y-intercept by substituting and coordinates of point
in slope intercept form.
Therefore, our required equation would be .
Answer: 0.6827
Step-by-step explanation:
Given : Mean IQ score :
Standard deviation :
We assume that adults have IQ scores that are normally distributed .
Let x be the random variable that represents the IQ score of adults .
z-score :
For x= 90
For x= 120
By using the standard normal distribution table , we have
The p-value :
Hence, the probability that a randomly selected adult has an IQ between 90 and 120 =0.6827