Please help ASAP thanks!!
1 answer:
To find the total area. find the sum of the area of the rectangle and the triangle.
Rectangle area: A = lw or A = 8cm(4cm) = 32 cm²
Triangle Area is defined by A =
where b = base of the triangle and h = height of the triangle. Since our triangle is a right triangle, the base and height of the triangle are the two legs of the right triangle. One of the legs has a measure of 3, but we don't see the measure of the other leg. It is actually 4cm though... Do you see that it is just the opposite side of the rectangle already showing a measure of 4 cm.. We know that opposite sides of rectangles have the same measure.
So in our triangle b = 3cm and h = 4cm and A =
= 6cm²
Total Area would be A = 32cm² + 6cm² = 38cm²
Rectangle area: A = lw or A = 8cm(4cm) = 32 cm²
Triangle Area is defined by A =
So in our triangle b = 3cm and h = 4cm and A =
Total Area would be A = 32cm² + 6cm² = 38cm²
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Answer:
We conclude that there is no difference in potential mean sales per market in Region 1 and 2.
Step-by-step explanation:
We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.
A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.
Let = mean sales per market in Region 1.
= mean sales per market in Region 2.
So, Null Hypothesis, :
= 0 {means that there is no difference in potential mean sales per market in Region 1 and 2}
Alternate Hypothesis, : >
0 {means that there is a difference in potential mean sales per market in Region 1 and 2}
The test statistics that will be used here is <u>Two-sample t-test statistics</u> because we don't know about population standard deviations;
T.S. = ~
where, = sample mean sales in Region 1 = 84
= sample mean sales in Region 2 = 78.3
= sample standard deviation of sales in Region 1 = 6.6
= sample standard deviation of sales in Region 2 = 8.5
= sample of supermarkets from Region 1 = 12
= sample of supermarkets from Region 2 = 17
Also, =
= 7.782
So, <u><em>the test statistics</em></u> = ~
= 1.943
The value of t-test statistics is 1.943.
Now, at a 0.02 level of significance, the t table gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have<u><em> insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.
Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.