Answer:
To perpendicular bisector of line segment WX. There are following steps:
1) Draw arcs or circles from points A and B on the both sides of WX.
2) Name the intersection points as W and X.
3) Use the straightedge to draw a line through points W and X.
4) Name the point as O
hence we have construct perpendicular bisector AB of WX which bisects at O.
Answer:
<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>Step-by-step explanation:
They want to make as much money as possible.
Small bird house gives them $10 and large birdhouse give them $15.
Avery has time to decorate 12 birdhouse of either size.
Hence, to maximize the earning, Avery should build 12 large ones.
Sam can make any of the combination below in 24 hours.
4 Large and 1 small bird house, which will make
3 Large and 3 small bird house, which will make
2 Large and 4 small bird house, it will gain
1 Large and 6 small bird house, it will make
8 small bird house, which will gain
The profit will be maximize if Sam build 8 small bird houses.
Thus, they will make .
Answer:
The null hypothesis is
The alternate hypothesis is
The test statistic is t = -1.95.
The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.
Step-by-step explanation:
Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.
At the null hypothesis, we test if the mean is 14 hours, that is:
At the alternate hypothesis, we test if the mean is less than 14 hours, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
14 is tested at the null hypothesis:
This means that
X = 13.6 hours, s = 1.3 hours. Sample of 40:
In addition to the values of X and s given, we have that
Test statistic:
The test statistic is t = -1.95.
P-value:
The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.
Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.