Answer:
(a) Option A. independent
(b) 
Step-by-step explanation:
Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.
In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.
In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.
When two events are independent then
The probability that a baby is a girl is
The probability of obtaining a 1 when casting a 16-sided die is:
Then:
Answer:
The discriminant of the quadratic equation is -7.
Step-by-step explanation:
We are given the following quadratic equation in the question:
Comparing to general quadratic equation:
We have to find the discriminant of the quadratic equation.
Formula:
Putting values, we get,
Thus, the discriminant of the quadratic equation is -7.
5) Transitive property of equality
6) Addition property of equality
7) Subtraction property of equality
8) Division property of equality
9) Multiplication property of equality
10) Transitive property of congruence
11) Substitution property of equality
12) Addition property of equality [add XY to both sides then use segment addition postulate]
13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]
14) Angle addition postulate
15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]
16) Transitive property of equality
Answer:
70/5985
Step-by-step explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.
The is answer is 324. The previous number is multiplied by -3.
