Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
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:
What is the probability that a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So
has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
You have to show finding the square root of it ______ ___ __
√144x^2 + √225 = √0
which will give you 12x+15=0
12x=15
x=5/4
Answer:
3,406.5 litres/hr
Step-by-step explanation:
The liquid is being poured at a rate of 15 gallons per minute.
1 minute = 1/60 hour
Thus, the rate can be written as:
15 gallons pet 1/60 hour
We are told that one gallon is approximately 3.785 liters.
Thus;
15 gallons = 15 × 3.785 litres = 56.775 litres.
Thus, the rate is;
56.775 litres per 1/60 hour
We want to find in litres/hr.
By proportion, we have it as;
(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr
Answer:
M-N= {a,d}
Step-by-step explanation:
subtract the common elements
First, you formulate a ratio of Audrey's work time to work done. In this case, 3/5 hour : 2/5 square yards. Expressing and simplifying that into a fraction would yield:
3/5 ÷ 2/5 = 3/5 * 5/2 = 3/2
We use this ratio to determine the sq yards she could paint in an hour:
1 hour * (1/(3/2) = 2/3 square yards
I hope I was able to help you with this question. Have a good day.
