Answer:
54 different ways
Step-by-step explanation:
6×3×3=54
The blue dot is one 1 hour and earning of 10.
Unit rate is earnings divided by hours , 10/1 = 10.
The answer is B)$10.
The irrational number is:
A)-1.23 because you cannot divide it evenly.
Answer:
y = 3x -1
Step-by-step explanation:
It is convenient to choose two points that have x-values 1 unit apart when computing the slope of the line (m). Here, we choose the points (-1, -4) and (0, -1).
... m = (change in y)/(change in x) = (-1-(-4))/(0-(-1)) = 3/1 = 3
The point (0, -1) tells you that the y-intercept (b) is -1.
Now you have the information you need to fill in y = mx + b:
... y = 3x -1
Choice C is the only equation with slope 2/3, while choice D has slope -2/3. This subtle difference is enough that the two lines are not parallel. The positive slope line goes uphill when moving to the right. The negative slope line goes in the opposite direction: it goes downhill when moving to the left.
The graph is below comparing the original equation with choices C and D. I used GeoGebra to make the graph, but you could use any other tool you want (eg: Desmos).
Answer:
B) 99% confidence interval is (0.485,0.715)
Step-by-step explanation:
We are given a 90% confidence interval constructed for a population proportion using a sample size of 120. We have to construct a 99% confidence interval from this data. For this first we need the value of sample proportion i.e. the point estimate.
The 90% confidence interval is: (0.526, 0.674). Remember that the point estimate is at an equal distance from both upper limit and lower limit of the confidence interval. So finding out the average of both the limits will give us their middle value i.e. the point estimate or the value of sample proportion.
So, the value of sample proportion will be:
Now we can calculate the 99% confidence interval using the formula:
Here, is the critical z value for given confidence level. For 99% confidence level, the z value from z-table comes out to be 2.576. The sample size n is given to be 120. Using all these values, we get:
Therefore, 99% confidence interval is (0.485,0.715)