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If you flip a coin 3 times, what is the probability of getting 3 heads?

Answer: 1/8 Probability The probability of getting a head in one flip is 1/2. Since the flips are independent events, the probability of getting 3 heads in a row is (1/2) x (1/2) x (1/2) = 1/8. FAQ on Probability What is the probability of getting 2 heads and 1 tail in any order? The […]

Convert 0.6 into a fraction

Answer: 0.6 as a fraction is 3/5. Decimals to Fractions To convert a decimal to a fraction, we need to determine the place value of the decimal. 0.6 is in the tenths place, so it can be written as 6/10, which simplifies to 3/5. FAQ on Decimals to Fractions What is 0.2 as a fraction? […]

Convert the fraction 3/5 into percent

Answer: The fraction 3/5 as a percent is 60%. Fractions to Percentages To convert a fraction to a percentage, we divide the numerator by the denominator and then multiply the result by 100. So, 3/5 = 0.6 * 100 = 60%. FAQ on Fractions to Percentages What is 1/2 as a percent? 1/2 as a […]

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1:1 Online Math Tutoring Describe Third Degree Polynomial

Answer: A third degree polynomial, also known as a cubic polynomial, has the general form ax^3 + bx^2 + cx + d, where a, b, c, and d are coefficients and a ≠ 0. Understanding Polynomials A polynomial of degree 3, or a cubic polynomial, has the general form ax^3 + bx^2 + cx + […]

Express 0.29 as a fraction in the simplest form

Answer: 0.29 as a fraction in the simplest form is 29/100. Decimals to Fractions The decimal 0.29 is in the hundredths place. So, we can write it as 29/100, which is already in its simplest form. FAQ on Decimals to Fractions What is 0.2 as a fraction in simplest form? 0.2 as a fraction in […]

Express half of 3 / 4 as a fraction

Answer: Half of 3/4 as a fraction is 3/8. Fraction Operations To find half of a fraction, you can multiply the fraction by 1/2 or divide the numerator by 2. So, half of 3/4 = 3/4 * 1/2 = 3/8. FAQ on Fraction Operations How do you add fractions? To add fractions, the denominators must […]

Factorize: x^2 – 5x + 6

Answer: The factorization of x^2 – 5x + 6 is (x – 2)(x – 3). Factorization To factorize a quadratic equation, we look for two numbers that add up to the coefficient of the middle term (-5) and multiply to the last term (+6). The numbers -2 and -3 meet these conditions, so the factorization […]

Find the integral of 1/x?

Answer: The integral of 1/x dx is ln|x| + C, where C is the constant of integration. Calculus The integral of 1/x with respect to x is the natural logarithm of the absolute value of x plus a constant of integration, denoted as C. FAQ on Calculus What is an integral? In calculus, an integral […]

Find the points on the ellipse 4x^2 + y^2 = 4 that are farthest away from the point (-1, 0)

Answer: The points on the ellipse 4x^2 + y^2 = 4 that are farthest away from the point (-1, 0) are (1, 0) and (-1, 2). Calculus and Geometry To find these points, we would need to use calculus and geometry. However, the general approach would involve finding the points on the ellipse that have […]

For what values of m does the graph of y = 3x^2 + 7x + m have two x-intercepts?

Answer: The graph of y = 3x^2 + 7x + m has two x-intercepts if the discriminant of the quadratic equation, which is b^2 – 4ac, is greater than 0. Here a = 3, b = 7, and c = m. So, 7^2 – 43m > 0. This simplifies to m < 49/12. Quadratic Equations […] 