Assume that farm sizes in a particular region are normally distributed with a population standard deviation of 200 acres. A random sample of 11 farm sizes in this region, in acres, is given below. Estimate the mean farm size for this region with 90% confidence. Round your answers to two decimal places and use ascending order. Size
202
1092
1321
319
331
938
73
200
200
229
160
486
370
256
351
770
170
288
177
165
67
194
353
296
293
2179
934
1490
107
79
1756
206
171
1312
188
438
474
131
56
204
1397
162
537
608
171
181
409
175
210
2612
Size
202
1092
1321
319
331
938
73
200
200
229
160
486
370
256
351
770
170
288
177
165
67
194
353
296
293
2179
934
1490
107
79
1756
206
171
1312
188
438
474
131
56
204
1397
162
537
608
171
181
409
175
210
2612

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.