Step-by-step explanation:
Please find the attachment.
Let x be the number of hours the student swims per day.
We have been that a student swims one hour every day, so in 2 months the student will swim 60 hours.
We are also told that the student swims 800 meters each day. This means that slope of the graph that represents the total meters swam during the time of her training program will be 800.
So in 60 days the student will swim 
.
We can see from our attached graph that at x equals 60 our y is approximately 48.
Since y-axis represents the number of meters in thousands, so 48 stands for 48,000.
Therefore, attached graph is the right choice.
ANSWER
The constant of variation is 6.
EXPLANATION
The inverse variation equation is:
We want to find the constant of variation, when x=-3 and y=-2.
We substitute the values for x and y to get,
Multiply out the left hand keeping in mind that negative times negative yields a positive result.
This implies that;
Hence the constant of variation is 6.
Z score=(data value-mean)/standard deviation
z=(90-100)/15=-0.6666666667
Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
