For the first question the answer would be the first quadrant
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Answer:
The correct answer is 0.94147
Step-by-step explanation:
Let A denote the event that the podiatrist finds the first person with an ingrown toenail.
And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.
While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:
= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.
= 
= 
= 0.94147
We can also solve the above expression by using the geometric progression formula as well where common ratio is given by 
.
Answer:
6/11 divided by 2 2/3 (=9/44)
2/7 divided by 4/5 (=5/14 or 15/42 scaled up)
1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)
3/10 divided by 1/8 (=2 2/5)
Step-by-step explanation:
You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)
2/7 divided by 4/5= 2/7 x 5/4
Multiply straight across the top, 2x5= 10
10 is the numerator
Now multiply straight across the bottom.
7x4= 28
28 is the denominator.
10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.
For mixed numbers, you first have to make them improper fractions.
Ex: 2 2/3
Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)
3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.
The amount of defects is not the independent value since you can not choose how many are defects, the independent variable would be the amount of bread made.
Answer:
equidistant from point F and line d: (0, 3); (6, 6) and (-6, 6)
not equidistant from point F and line d: (3, 0); (3, 5) and (-2, 2)
Step-by-step explanation:
Point (0, 3)
Distance from point (0, 6) = 3
Distance from line d = 3
Point (6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6
Point (3, 0)
Distance from point (0, 6) = √[(3 - 0)² + (0 - 6)²] = √45
Distance from line d = 0
Point (3, 5)
Distance from point (0, 6) = √[(3 - 0)² + (5 - 6)²] = √10
Distance from line d = 5
Point (-2, 2)
Distance from point (0, 6) = √[(-2 - 0)² + (2 - 6)²] = √20
Distance from line d = 2
Point (-6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6
