Answer:
B= A = 68
Step-by-step explanation:
ACE = BCD similar triangles. Similar triangles have equal angles.
A=B
C=C
D=E
This means if we can find angle B, we know angle A
BCD is a triangle so it equals 180 degrees
B+C+D = 180
B + 74+38 = 180
Combine like terms
B +112 = 180
Subtract 112 from each side
B +112-112 = 180-112
B = 68
Since we know angle B, we know angle A
B= A = 68
We need the diagram pic, otherwise we cant solve your problem.
Usually, cubes have 6 sides on them, so the chances of first rolling either 3 or a 4 is 1/3th of a chance. Then, if she rolls it 39 times, I'd do 1/3 of 39, and get 13. She can expect 13 times to roll a 3 or a 4.
The domain of exponential function is equal the set of all real numbers.
Answer:
Required Probability = 0.01659
Step-by-step explanation:
We are given that the laptop replacement times have a mean of 3.3 years and a standard deviation of 0.6 years i.e.; 3.3 years and = 0.6 years
Sample of 41 is taken i.e. n = 41.
The Z score probability is given by;
Z = ~ N(0,1)
Let X bar = mean replacement time
So, probability that randomly selected laptop have a mean replacement time of 3.1 years or less = P(X bar <= 3.1 years)
P(X bar <= 3.1) = P( <= ) = P(Z <= -2.13) = 1 - P(Z < 2.13)
= 1 - 0.98341 = 0.01659
Therefore, probability that 41 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.01659 .