Based on the graph which of the following statements are true
2 answers:
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Answer:
<em>a) P(x<1200)=74.14%</em>
<em>b) P(1100<X<1250)=57.54%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model to understand the behavior of some real-life variables. Where
is the mean value and
is the standard deviation.
In our case, we have
And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form
NORM.DIST(x,mean,standard_dev,cumulative)
a) X<1200
The formula is used with the following parameters
NORM.DIST(1200,1143,88,true)
and we get
b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them
NORM.DIST(1100,1143,88,true)=0.3125
NORM.DIST(1250,1143,88,true)=0.8880
Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.