Answer:
0.8753
Step-by-step explanation:
Calculate the probability that your job will be ready before 10.01 am
Here, the parameter of an Exponential is E(X)=12
Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ
Therefore, E(Y) =1/12
Here, The third job will be ready for 10:01 AM, then E(Y)=61/12
Therefore, the required probability is
=1- POISSON(3,5,true)
=1-0.1246
=0.8753
Answer:
The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:
Step-by-step explanation:
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.
At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:
At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
Answer:
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
