A container contains balls numbered from 1 through 55. A ball is drawn randomly and replaced. Then a second ball is drawn randomly. What is the probability that the first ball is number 9 and the second ball is number 41?
Answers
Answer:
1/3025
Step-by-step explanation:
Prob. of getting a 9 is 1/55; likewise for 41. multiply the 2 probs. together. (1/55)^2=1/3025≈0.00033057851
Final answer:
The probability of drawing ball number 9 first and then drawing ball number 41 from a container of balls numbered 1 to 55, with replacement is 1/3025.
Explanation:
The question pertains to the field of probability in Mathematics. It is asking for the probability of first drawing ball number 9 and then drawing ball number 41 from a container that contains balls numbered from 1 to 55. Since the ball is replaced after the first draw, the total number of possibilities remains the same for both draws. Therefore, the individual probability of drawing either one of those balls at a certain draw is 1/55.
Given that these are independent events, we multiply the probabilities. Hence, the probability of drawing ball number 9 first and then drawing ball number 41 is: P(9 and 41) = P(9) x P(41) = (1/55) x (1/55) = 1/3025.
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The expression 4x gives the perimeter of a square with a side length of x units.What is the perimeter of a square with a side length of 5/7 units?
Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm?
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Therefore a = 7.1 / 6.3 = 1.13 m/sec^2
Answers
Answers
Answer & Step-by-step explanation:
(5√2 - 4√3)(5√2 - 4√3)
We can rewrite this equation into a more simpler form.
(5√2 - 4√3)²
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
(5)² = 25
(4)² = 16
(√2)² = 2
(√3)² = 3
So, now the equation looks like this..
(25 * 2) + (16 * 3)
Multiply the terms.
50 + 48
Add the numbers.
50 + 48 = 98
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
Answers
The difference between the theoretical and experimental probability is then
50%-25%=25% or 0.25
We note that the experimental probability is higher than the theoretical. However, as more games are played, the fraction of games won becomes closer and closer to the theoretical probability.
Answers
Answer:
k = 358
Step-by-step explanation:
186+k=544
k=544-186
k=358
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?
Answers
Answer:
a. What is the name of the 3D shape?
The name of the 3D shape is Prism
b. What is the formula for total surface area for this shape?
Total surface area:
c. What is the surface area of the figure?
The surface area of the figure is 144 cm²
Step-by-step explanation:
a. What is the name of the 3D shape?
The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism
b. What is the formula for total surface area for this shape?
Total Surface area:
where:
Area of the base of the prism: Ab
Perimeter of the base: Pb
Height of the prism: h
c. What is the surface area of the figure?
The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:
The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:
h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm
Then, replacing in the formula the known values: