Hello!
The statement that is true about the three quadrilaterals is the first one:
____________________________________________________________
Option #2 is incorrect because although E and F are similar, they are not congruent. They do not have the same size.
Option #3 is also incorrect because, again, D and E are similar, but they are not congruent.
Option #4 is not correct because it says that "F and D are similar but not congruent." This is not true since they are the same shape and size. Only their orientation is different, which makes them congruent.
Answer:
2. YM ≅ MQ
5. JK = 7 inches
7. SV = 12 meters
Step-by-step explanation:
2. YM ≅ MQ - corresponding sides of congruent triangles are congruent
5. If rectangle EFGH is congruent to rectangle JKLM, then corresponding sides are congruent. Side EF is congruent to side JK because E and F are first two letters in name of rectangle EFGH and J and K are first two letters in name of rectangle JKLM. Thus,
JK = 7 inches
7. If quadrilateral BCDE is congruent to quadrilateral STUV, then corresponding sides are congruent. Side BE is congruent to side SV because B and E are first and last letters in name of quadrilateral BCDE and S and V are first and last letters in name of quadrilateral STUV. Thus,
SV = 12 meters
Answer:
Woah uhh ok....
Step-by-step explanation:
15) U have to find the rate of change. Since the equation is f(x)= 3x+4, and the y-int. is 4, find where there a point of (0,4) on the table. In this case they all do so now u gotta find the rate of change. For each table, see which one has a constant rate of 3. Therefore it would be D.
16) I believe its C
17) I believe its B
18) C or D
Answer:
Step-by-step explanation:
1) As the sample size is 1,000 and there are 23 defectives in the output of the sample collected from Machine #1, the answer is 23/1000=0.023.
2) Estimate of the process proportion of defectives is the average of the proportion of defectives from all samples. In this case, it is : (23+15+29+13)/{4*(1000)}=80/4000=0.02.
3) Estimate of the Standard Deviation: Let us denote the mean (average) of the proportion of defectives by p. Then, the estimate for the standard deviation is : sqrt{p*(1 - p)/n}. Where n is the sample size. Putting p = 0.02, and n = 1000, we get: σ=0.0044.
4) The control Limits for this case, at Alpha risk of 0.05 (i.e. equivalent to 95% confidence interval), can be found out using the formulas given below:
Lower Control Limit : p - (1.96)*σ = 0.02 - (1.96)*0.0044=0.0113.
& Upper Control Limit: p + (1.96)*σ = 0.02 + (1.96)*0.0044 = 0.0287.
5) The proportion defective in each case is : Machine #1: 0.023; Machine #2: 0.015; Machine# 3: 0.029; Machine# 4: 0.013. For the Lower & Upper control limits of 0.014 & 0.026; It is easy to see that Machines #3 & #4 appear to be out of control.
8 * 1/5 = 8/5
13 * 1/2 = 13/2
20 * 3/5 = 60/5 = 15/1 or just 15
3/10 * 7 = 21/10
