Answer:
or
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply () by itself (3) times,
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
Simplify,
Answer:
Step-by-step explanation:
First, you need to find the fraction of the passengers who are not senior citizens. Add 1/5 and 2/3 to get 13/15.
This means that 13/15 of the passengers aren't senior citizens and 2/15 of the passengers are senior citizens.
Hope i helped!
Answer:
y=-9/6x+1
Step-by-step explanation:
Slope=y2-y1/x2-x1
1) Find the slope of the line:
(-5-4)/(4+2)
2) Simplify:
m= -9/6
3) Now plug in the slope into point slope formula: (attached as picture)
(y-4)=-9/6(x+2)
4) Distribute -9/6 to x and 2:
y-4=-9/6x-3
5) Add 4 to both sides:
y=-9/6x+1
Yolanda's daily salary is $225
Step-by-step explanation:
The given is:
- Yolanda gave 20% of her daily salary to taxes
- She then put 10% of her remaining salary into her savings
- She is left with exactly $162
We need to find Yolanda's daily salary
Assume that Yolanda's daily salary is $x
∵ Yolanda gave 20% of her daily salary to taxes
∵ Yolanda's daily salary is $x
∴ The taxes = 20% × x
∵ 20% = = 0.2
∴ The taxes = 0.2 × x = 0.2 x
∴ The remaining of her salary = x - 0.2 x = 0.8 x
∵ She put 10% of her remaining salary into her savings
∴ The money in her saving = 10% × 0.8 x
∵ 10% = = 0.1
∴ The money in her saving = 0.1 × 0.8 x = 0.08 x
∴ The remaining of her salary = 0.8 x - 0.08 x = 0.72 x
∵ She is left with exactly $162
∴ The remaining of her salary = $162
∵ The remaining of her salary = 0.72 x
- Equate her remaining salary
∴ 0.72 x = 162
- Divide both sides by 0.72
∴ x = 225
Yolanda's daily salary is $225
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Answer:
<h2>d) 78.5 cm²</h2>
Using the formula for Area of circle_
πr²
putting values_
π = 3.14
r² = (5)² = 25.
Therefore,
3.14 × 25
= 78.5