There are five different colored cards in a hat (red, blue, green, yellow, and black). A card is randomly drawn and not replaced. Then a second card is drawn. What is the probability that the first card will be red and the second card will be blue?4%
5%
20%
25%
Answers
The probability that the first card will be red, and the second card will be blue is 5%
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
P(event) = favorable outcomes / possible outcomes
p(red) = 1 / 5
p(blue) = 1 / 4 (since, the card is not replaced)
We know that, the probability that the first card will be red, and the second card will be blue: p(red then blue) = p(red) × p(blue)
p(red then blue) = 1 / 5 × 1 / 4 = 1 / 20
= 5%
Hence, the probability that the first card will be red, and the second card will be blue is 5%
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Hi there!
First, for any of the five cards being drawn, there is a 1/5 chance, or 20%. So, the probability of a red card being drawn is 1/5. Then, since the card is not replaced, it becomes a 1/4, or 25%, chance of any card being drawn (besides red). So, the probability of a blue card being drawn is 1/4. So in order to find what the question is asking, we'll need to multiply the two fractions together.
1/5 x 1/4 = 1/20
1/20 = 5%
Therefore, the correct answer is 5%, or the second option.
Hope this helps!! :)
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The product of a nonzero rational number and an irrational number is always irrational.
The product of two irrational numbers is either rational or irrational.
Answers
For example, 2+π = an irrational number.
Answer:
The sum of a rational number and an irrational number is always rational
Step-by-step explanation:
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Answers
Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. 1 : 2 => 1/3, 2/3.
Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.
7. Solve. 4(s – 3) = 2s + 6
Answers
7. Solve. 4(s – 3) = 2s + 6
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s=9
7)s=9
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Answers
The compositefunction gof (x) is 4x^2 + 2.
The correct option is b.
What is a composite function?
Let the two functions f(x) and g(x) generate a new function h(x) using an operation.
The operation is a composition of functions and h(x) is a compositefunction.
Given:
Three functions f(x) = 2x, g(x) = x² + 2, and h(x) = -4x + 3.
To find the compositefunction gof (x), we need to substitute g(x) into f(x) wherever there is an x in f(x).
gof (x) = g(f(x))
= g(2x)
= (2x)²+ 2
= 4x² + 2
Therefore, gof (x) = 4x² + 2.
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Answers
Given:
The area of the triangle is 24 yd²
The height of the triangle is 4 yd.
We need to determine the base of the triangle.
Base of the triangle:
The base of the triangle can be determined using the formula,
where b is the base and h is the height of the triangle.
Substituting in the above formula, we have;
Simplifying, we get;
Thus, the base of the triangle is 12 yard.
Hence, Option A is the correct answer.
Solve.