Answer:
0.0039 = 0.39% probability that she beats all 4 levels on the first try.
Step-by-step explanation:
For each level, there are only two possible outcomes. Either she can win the new level on the first try, or she cannot. The probability of winning a level on the first try is independent of any other level. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
She knows that she can win a new level on the first try 25% of the time.
This means that 
Janice plays through 4 levels.
This means that 
What is the probability that she beats all 4 levels on the first try?
This is P(X = 4). So
0.0039 = 0.39% probability that she beats all 4 levels on the first try.
Answer:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get
The value of 'x' is 17.
When two lines are <em><u>parallel, that means they have the same slope! </u></em>
The slope is the coefficient of x
In the equation y = 3x, <u>the slope is 3 </u>
An example of a line that is above y = 3x is ...
y = 3x + 2
The "+2" <em>shifts the line up </em>by 2 on the y axis
An examples of a line that is below y = 3x is ...
y = 3x - 3
The "-3" <em>shifts the line down</em> by 3 on the y axis
Answer:
difference of squares
Step-by-step explanation:
a^2 - b^2 = (a-b)(a+b)
This is the definition of the difference of squares
