Using the normal distribution, the areas to the left are given as follows:
a) 0.7910.
b) 0.6664.
c) 0.3707.
d) 0.8508.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X, and is also the area to the left of Z.
Hence:
- The area to the left of Z = 0.81 is of 0.7910.
- The area to the left of Z = 0.43 is of 0.6664.
- The area to the left of Z = -0.33 is of 0.3707.
- The area to the left of Z = 1.04 is of 0.8508.
More can be learned about the normal distribution at brainly.com/question/4079902
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To represent the opposite of this number, if it is positive nineteen,
he would need to first take nineteen steps back to reach his original
position which in this case represents zero. He would then need to take
another nineteen steps backwards, to reach negative nineteen.
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There are 16 ounces in a pound. So in 4 1/8 pounds, there would be 66 ounces.
Answer:
22.75 minutes or 22 minutes 45 seconds
Step-by-step explanation:
Okay, this is a working together question. Let’s walk through it together!
Firstly, let’s say the total volume of the swimming pool is x sq.meters
Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35
Now, their combined rate would be x/65 + x/35 = 100x/2275
Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275
x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds