Answer:
the answer is
<em>n</em><em>=</em><em>5</em>
SANA MAKATULONG
<em>AND</em><em> </em><em>PLS</em><em> </em><em>FOLLOW</em>
11 hundredths , or 11/100
Answer:
3.5m
Step-by-step explanation:
A parallelogram has sides 17.3 m and 43.4 m long.
The height corresponding to the 17.3-m base is 8.7 m.
The area of a parallelogram = base × height
= 8.7m × 17.3m
= 150.51m²
Both parallelograms have the same area
Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:
= 150.51m²/43.4m
= 3.4679723502m
Approximately = 3.5m
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let 


Rewrite the equation to find the coordinates of C
and 
Solve for each:












Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let 


and 
Solve for each:












Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
Learn more about Bayes' theorem on
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