Find the area of one rectangle and then the other and add the two together.
The first stone will be 10-in wide
The last stone will be 10-in wide
The stones in the middle will be alternating between 5-in and 10-in stones, making a total of 15-in
Total width = 145-in
Width after placing first and last stones = 145 - 20 = 125-in
Number of 15-in patterns incorporated in 125-in:
125/15 = 8.33
Therefore, he will place 8 10-inch stones within and 9 5-inch stones within the patter.
The total 10-inch stones used = 8 + 2 = 10
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean for USA is 
The sample mean for Mexico is 
The sample standard deviation for USA is 
The sample standard deviation for Mexico is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to -10 is
Generally from the value obtained we see that
The p-value is < 
hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
Answer:
4 taps take 70 minutes
2 taps would take 140 minutes
8 taps would take 35 minutes
time = (4 / # of taps) * 70
time = (4 / 7) * 70 = 40 minutes
Step-by-step explanation:
Slope-intercept:
Find the slope (change in y / change in x) of the equation, and the y intercept (the point where the line crosses the x axis).
y = mx + b, where m is the slope and b is the y-intercept.
To graph, draw a line through (0,b) with slope m.
Point-slope form:
(y-b) = m(x-a), where m is the slope and (a,b) is a point the line passes through.
Find the slope, and then pick any point that lies on the line and substitute into (a,b).
To graph, start at the point (a,b), and draw a line through that point with slope m.
Standard form:
Ax + Bx = C.
Example: 2x + 3y = 24
Notice that this form does not clearly include any points, the slope, or the intercepts. So how can we easily graph it?
To graph a line written in standard form, you can simply draw a line between the y-intercept and the x-intercept.
To find the y-intercept using our example.
2x + 3y = 24
y intercept is where x=0
0 + 3y = 24
y = 8 when x=0, y-intercept = (0,8)
X-intercept, sae process but plugging in zero for y:
2x + 0 = 24
x = 12
To graph, simply draw a line that goes through (0,8) and (0,12)
