The likelihood of selecting one girl is calculated as 
. This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as: 
.
Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:
, which represents the probability of selecting a boy as the second choice.
Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:
.
However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:
This simplifies to:
Answer:
The initial goal was $25019.154.
Step by step Explanation:
Assuming the original goal is denoted as x.
As stated
Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.
1253% can be expressed as a decimal.
= 12.53
Thus, the equation is rearranged to
12.53 × x = 313490
12.53x = 313490
x = $ 25019.154
This means the initial goal stands at $25019.154.
Answer:
28.4 cm
Step-by-step explanation:
The perimeter of the triangular wall is determined by adding all sides of the right triangle.
The triangle's height is given as 6 cm.
The hypotenuse measures 12 cm.
Using the Pythagorean theorem to find the third side:
Hypotenuse² = opposite² + adjacent²
Assigning the height as opposite = 6 cm, we find:
12² = 6² + adj²
Thus, adj² = 12² - 6²
Which gives us adj² = 144 - 36
So, adj² = 108
Leading to adj = √108
Thus, adj = 10.39 cm
The perimeter totals = 6 cm + 12 cm + 10.39 cm
= 28.39 cm
= 28.4 cm when rounded to the nearest tenth.
To solve simple equations like this, it's essential to apply the order of operations defined by PEMDAS. This acronym represents the sequential operations needed for solving equations.
PEMDAS indicates Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
According to PEMDAS, multiplication takes precedence over addition, leading us to:
5 + [1*10] = 5 + 10 = 15.
Answer:
80 divided by 1000 multiplied by 20
Step-by-step explanation:
