Answer: A
Step-by-step explanation: this was on my test so here is the answer
Answer:
D. HL (hypotenuse leg)
Step-by-step explanation:
There are two triangles in the picture, ABQ and CDP. The condition for the hypotenuse leg are:
1. both triangles are right triangle
2. the hypotenuse and one of the leg/side is equal
Both B and D angle is 90 degrees, so both triangles is right triangle. The hypotenuse for the triangle is AQ and PC, and both are equal. One of the triangles legs also equal, which is AB and CD. With that, you fulfill HL postulate for the congruent triangle.
Don't confuse this with SAS theorem for the same angle should be on the middle of two equal sides.
Answer:
Letter B.
Step-by-step explanation:
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Answer: Mean = 2.91 and Variance = 0.087
Step-by-step explanation:
Given : The probability of a correct classification of any part p= 0.97.
The number of parts are inspected : n=3
Let the random variable X denote the number of parts that are correctly classified.
For binomial experiment , the mean and variance is given by :-
Then, the the mean and variance of X will be :-
![\mu=3(0.97)=2.91\\\\\sigma^2=np(1-p)=3(0.97)(0.03)=0.0873\approx0.087\ \ [ \text{Rounded to three decimal places}]](https://tex.z-dn.net/?f=%5Cmu%3D3%280.97%29%3D2.91%5C%5C%5C%5C%5Csigma%5E2%3Dnp%281-p%29%3D3%280.97%29%280.03%29%3D0.0873%5Capprox0.087%5C%20%5C%20%5B%20%5Ctext%7BRounded%20to%20three%20decimal%20places%7D%5D)
Answer: =125.6
Step-by-step explanation:
Add 26.5 to both sides of the equation
Simplify
