Answer:
9/2 feet
Step-by-step explanation:
This means that the total height is 6 * 3/4 or 18/4=9/2 of a foot.
Answer:
22.86% probability that the persons IQ is between 110 and 130
Step-by-step explanation:
Problems of normally distributed samples are 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 this problem, we have that:

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130
This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.
X = 130



has a pvalue of 0.9772
X = 110



has a pvalue of 0.7486
0.9772 - 0.7486 = 0.2286
22.86% probability that the persons IQ is between 110 and 130

To solve for
, we need to isolate it on one side of the equation.
Take the square root of both sides, making sure to use both positive and negative roots.

cannot be simplified, so we'll leave it as-is.
Add
to both sides to fully isolate
.

Expand the solution by making two solutions, one where
is positive and one where it's negative.

The question is worded poorly, but it looks like you have a lever in equilibrium, with a force x at a distance d from the fulcrum, and a force y at a distance L - d from the fulcrum. You already have the equilibrium formula for this situation:
xd = y(L - d)
If you know x, y, and d, you can solve for the length L.
4.80 = 100%
x = 55%
Cross Multiply
100 * x = 55 * 4.80
100x = 264
x = <u>264</u>
100
x = 2.64
Solution: $2.64