Answer:
A. there is exactly one solution. the solution set is {(2, 0)}.
Step-by-step explanation:
3x + 8y = 6
3x - 8y = 6
when we add these 2 equations, we get
6x + 0 = 12
6x = 12
x = 2
now we use one of the original equations to get y :
3×2 + 8y = 6
6 + 8y = 6
8y = 0
y = 0
The value of z score for the history class test of Opal’s test score is negative one (-1).
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The z score for the normal distributed data can be given as,
The mean value of the scores of history class is,
The standard deviation value of the scores of history class is,
Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,
Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).
Learn more about the normally distributed data here;
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Answer:
51 degrees
Step-by-step explanation:
gave up on delta math
Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,
3 inches = 0.25 foot
If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,
Volume of concrete = 650 ft² × 0.25 ft = 162.5 ft³
Now, one yard is equal to 3 feet, therefore,
1 cubic foot = 1/27 cubic yards
162.5 cubic feet = 6.0185 cubic yards
Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.
Learn more about Volume:
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Answer: A
Step-by-step explanation:
The ratio is simply 2:5
You are comparing the two times
