33%=0.33
33% of 39=0.33*39=12.87
discount is 12.87
minus
39-12.87=26.13
sale price=$26.13
discount=$12.87
Answer:
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
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:

Find the probability that a randomly selected adult has an IQ between 86 and 114.
Pvalue of Z when X = 114 subtracted by the pvalue of Z when X = 86. So
X = 114



has a pvalue of 0.7580
X = 86



has a pvalue of 0.2420
0.7580 - 0.2420 = 0.5160
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
Answer:
Step-by-step explanation:
Let

be the acceleration, velocity, and position functions, respectively. Then


Since the acceleration is a constant 30 ft/s^2, you have



You're told that the initial velocity is

, so you get

Now

. Integrating once more, you find


and since

, you get

which means the exact position function is