Answer:
We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218
Step-by-step explanation:
The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.
Both of this angles are same side interior angles which means both of this angles when added equal to 180 degrees
5x +15 + 3x - 3 = 180
8x - 12 = 180
+12 +12
8x = 192
x = 24
Answer: 1. ∠A= 80.75° 2. 41.79 
Step-by-step explanation:
Since, According to the sines low,
Here, CB= 4.1 cm, AB = 3.3 and ∠ C = 52.6°
⇒ 
⇒ 
⇒ A = 80.75°
2. Since, the area of the given figure = Area of the rectangle having dimension 8.3 × 4.2 + Area of the half square of radius 2.1
=34.86 + 6.93
= 41.79 square cm
The answer will be 14/20 because there a total of 20 beads and 8 red beads and 6 green beads which is 14 out of 20 total beads
Answer:
Step-by-step explanation:
4)
Given the expression
a+b-c
substituting the values in the expression
a+b-c = 4.1+5.7-0.3
= 9.8 - 0.3
= 9.5
5)
Given the expression
10-(a+b)
substituting the values in the expression
10-(a+b) = 10 - (4.1+5.7)
= 10 - 9.8
= 0.2
6)
Given the expression
b-c+2
substituting the values in the expression
b-c+2 = 5.7 - 0.3 +2
= 5.4 + 2
= 7.4
