Answer:
a. 0.5855
b. 0.6354
c. 0.0676
Step-by-step explanation:
Be the events:
E: The product is highly successful
ME: The product is moderately successful
P: The product is poorly successful
B: The product received good reviews
MB: The product received bad reviews
You have then:
and
a. invoking the total probability theorem, you have:
b. invoking the Baye's theorem, you have:
c. Using the result obtained in a. , then:
<u><em>Answer:</em></u>
Number of child tickets sold that day = 25 tickets
<u><em>Explanation:</em></u>
Assume that the number of the adult ticket is x and that the number of the child ticket is y.
<u>We are given that:</u>
1- four times as many adult tickets as child tickets were sold. <u>This means that:</u>
adult tickets = 4 * child tickets
x = 4y ....................> equation I
2- Child ticket costs $5.5, adult ticket costs $9.1 and total sales was $1047.5.
<u>This means that:</u>
x(9.1) + y(5.5) = 1047.5
9.1x + 5.5y = 1047.5 ..................> equation II
<u>Substitute with equation II in equation I and solve for y as follows:</u>
9.1x + 5.5y = 1047.5
9.1(4y) + 5.5y = 1047.5
36.4y + 5.5y = 1047.5
41.9y = 1047.5
y = 25
<u>Based on the above calculations:</u>
number of child tickets = y = 25 tickets
number of adult tickets = x = 4y = 4(25) = 100 tickets
Hope this helps :)
A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
<h3>What is the rotation Transformation?</h3>
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.
A square is a geometric figure which has all its four sides equal and all its interior angles are right angles (90°) .
Therefore, it can be rotated about its center by (360°).
It maps onto itself at 4 different angles of rotation (at every 90°).
Thus, we can reflect a square onto itself across 4 different lines of reflection (2 across the non-parallel sides and 2 across the vertices of the square).
Thus, we can conclude that A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
Read more about Rotation Transformation at; brainly.com/question/4289712
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The answer is 105 because 180-75=105