2) Jim get $200 for 50 sales, $350 for 70 sales, and $500 for 85 sales. This is called
1 answer:
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"<span>two angles are complementary;" that means the sum of two angles is 90. Since the sum of all three is 180, the last angle is 90. It is a right triangle.
"</span><span>two angles have equal measure;" we can't have two angles which are 90, so the other two are equal. But they sum to 90, so what number plus itself is 90? 45+45=90. We know now that the triangle has measures 45, 45, and 90.
We know that the legs of the triangle are the same, so we can use the Pythagorean theorem to show that </span>
, where h is the length of the hypotenuse and l is the length of the legs.
Of course, this means
. But "<span>the shortest side is half the length of the longest side</span>"! No triangles like this exist.
The only true statement is D
"</span><span>two angles have equal measure;" we can't have two angles which are 90, so the other two are equal. But they sum to 90, so what number plus itself is 90? 45+45=90. We know now that the triangle has measures 45, 45, and 90.
We know that the legs of the triangle are the same, so we can use the Pythagorean theorem to show that </span>
Of course, this means
The only true statement is D
Answer:
a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
b)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 7 - 1 = 6
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.4469, and the answer to question b is
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.
The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.
The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.