What is the value for x?
1 answer:
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Answer:
<em>D. 1 – NORM.DIST(100, 75, 10, TRUE)</em>
Step-by-step explanation:
<u>Excel's Normal Distribution</u>
The normal distribution has two parameters: the mean value and the standard deviation
. Since it's a symmetric function the values at the right side of the center value
The normal distribution is a function which integral cannot be expressed in terms of elemental functions. That is why the cumulative probability is usually found in tables, graphs or any digital media like Excel.
The formula NORM.DIST computes the cumulative values for the left tail or for a given mean and standard deviation. The parameters are
This last parameter tells the formula we want the cumulative left-tail probability or just the value at Xo. This value must be set to TRUE to compute the probability for a range of values, like in the problem at hand.
Since the formula computes the left-tail of the function, we must take advantage of the symmetry of the distribution if we want to compute right-tail values we just subtract the result from 1.
Thus, the correct formula to calculate the required probability is
D. 1 – NORM.DIST(100, 75, 10, TRUE)
Answer:
x = 13
Step-by-step explanation:
110° is the vertically opposite angle of one of the interior angles of the given triangle.
Therefore,
Hey there! I'm happy to help!
Imagine the line that is created when you connect the two points (the distance between the two points).
You can create a right triangle where this distance is the hypotenuse where the two legs are the change in x and y. So, if you take those changes in x and y, you can use the Pythagorean Theorem (a²+b²=c²) to find the distance between the two points, which is the hypotenuse.
Our change in x is 9 because 9-0 is 9.
We square it
9²=81
Our change in y is 5 as -1-(-6) or -1+6 is 5.
5²=25
We add these.
81+25=106
We square root and round to the nearest tenth.
√106≈10.3
So, our distance is 10.3.
This Pythagorean Theorem method actually gives us a formula called the distance formula that you can use to find the distance between points.
Have a wonderful day and keep on learning! :D