Answer:
P(inside larger square and outside smaller) = 
Step-by-step explanation:
Probability is the result of the division of the number of possible outcome by the number of an event.
In the question, for a point chosen, the point can be in the small square only or in the area or region between the small square and the big square as such,
Area of larger square = area of region between both squares + area of smaller square
Where the area of a square is S × S where S is the side of a square
Area of larger square = 10 × 10
= 100 cm square
Area of smaller square = 7 × 7
= 49 cm square
Area of the region between both squares
= 100 - 49
= 51 cm square
The probability that a dot selected is inside the larger square and outside the smaller is
P(inside larger square and outside smaller) = Area of region between both square/ Area of larger square
P(inside larger square and outside smaller) =
By definition, the unit vector of v = (a,b) is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is
Answer:
57.8125% or approx. 57.8%
Step-by-step explanation:
There is a 1/4, or 25%, or 0.25 chance that an egg has salmonella.
Thus, there is a 75%, or 0.75 chance that an egg DOESN'T contain salmonella.
Let's find the probability that all 3 of Larry's eggs are free from salmonella. Larry would have to hit that 75% chance 3 times in a row. The chance of that happening is:
0.75 * 0.75 * 0.75 = 
= 0.421875
From this, we can deduce that if there is a 0.421875 (42.1875%) chance that all eggs are safe to eat, there must be a...
1 - 0.421875 = 0.578125
...0.578125 (57.8125%) chance that 1 or more of Larry's eggs do have salmonella.
Answer: approx. 57.8% or 57.8125%
Do a proportion
65/100= x/80
Cross multiply and divide
80 x 65= 5, 200
5, 200 divided by 100 is 52
52 members left
80-52= 28
Answer is 28 members
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
