Answer:
1) There are 13 students in Jerry's study.
2) There are 39 students in Kathy's study.
3) Jerry's study is more trustworthy!
Step-by-step explanation:
1) Jerry's study is the one with the dot plot.
Now, the number of students is calculated by adding the total number of dots in the plot.
We have a total of 13 dots.
Thus, there are 13 students in Jerry's study.
2) Kathy's study is the one with the histogram.
The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.
Total number of students = 9 + 11 + 7 + 12 = 39 students
3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.
Answer:
y = 
x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = x - 11 ← equation of line
Answer:
8^ (1/3) =2
Step-by-step explanation:
We want to find cube root of 8
8^ (1/3)
What number times itself 3 times is 8
2*2*2 =8
8^ (1/3) =2
You can cross multiply to find the answer. Start by setting up your equation:
45/30 = 60/x (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30:
45x = 1800 you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."
What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.
Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.
Answer: It will take 40 minutes to fill a 60 gallon tube.
Answer:
The leading coefficient of the polynomial is -9.
Step-by-step explanation:
9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :
-9x3 + 5x2 + 7x -10
Your leading coefficient is the number included with your degree or highest exponent.
