Answer: 0.665.
Step-by-step explanation:
60% of the bags are from supplier A, and 95% of them are undamaged.
40% of the bags are from supplier B, and 75% of them are undamaged.
Then, the number of undamaged bags from supplier A is:
0.6*0.95 = 0.57 or 57%
from B is:
0.4*0.75 = 0.3 or 30%
This means that the percentage of undamaged bags is:
57% + 30% = 87%.
Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:
P = 57%/87% = 0.655 or 65.5%
Then the probability that an undamaged bag comes from supplier A is 0.665.
Step-by-step explanation:
For example, you use {10}^{2}. That's representing 10 times 10, which equals 100. So basically, all you do is convert {10}^{2} into 10 times 10 and solve, which gives you 100 as the final answer.
After 3 years, the predicted number of students is 21,785.
Answer:
The third angle of the triangle is 90º
Step-by-step explanation:
A triangle has three interior angles.
The sum of the three interior angles of a triangle is 180º.
In this problem, we have that:
2 angles of 45º
A third angle x
The sum of these angles is 180. So
2*45 + x = 180
90 + x = 180
x = 90º
So
The third angle of the triangle is 90º
<span><span>if one angle is x and the ratio of 1 : 4 : 7, means second angle is 4x and third angle is 7x
since the sum of all three angles in a triangle is 180 degrees, we have
x+4x+7x=180
12x = 180
x = 15
then
4x = 60
7x = 105
The angles are 15°,60 °, and 105 °.</span><span>
Therefore, yes.</span></span>