pH measures how acidic or basic a substance or solution is. The relevant formula is pH = –log[H+]. To find the concentration of H+, we can manipulate the equation by raising both sides to base 10, resulting in 10^ -pH = H+. Given a pH of 7.2, the concentration is represented as C<span>[H+] = 10^-7.2</span>.
Step-by-step explanation:
P(X=1) = P(first heads and second tails) +P(first tails and second heads)
=P(first heads)×P(second tails) + P(first tails) ×P(second heads)
since events are independent P(A∩B) = P(A) ×P(B)
= 0.6 ×0.3 + 0.4 ×0.7
= 0.46
P(X=0) = P(first tails and second tails)
= 0.4 ×0.3
=0.12
P(X=2) = P(first heads and second heads)
= 0.6 ×0.7
= 0.42
Mean E(X) = 0 ×0.12 + 1 × 0.46 + 2 ×0 0.42
=1.3 ( Since mean is a ratio, it may exceed 1 )
To convert a decimal to a fraction, multiply it by 1000.
To address the problem outlined above, follow the procedure below: 1. Use the formula for determining the volume of a sphere, which is: V=4πr³/3, where V signifies the sphere's volume and r represents the radius (r=3.5 inches). 2. Substitute these numbers into the formula to arrive at the sphere's volume, resulting in V=4π(3.5 inches)³/3. 3. Therefore, the final answer is: V=179.5 inches³.
Response: Annabelle is employing the statistical concept known as Mode.
Detailed explanation: A central tendency measure, in its most basic sense, is a singular value or measure that effectively represents all elements of a particular data set. As such, one number can serve to essentially represent 99 other numbers in a data set of one hundred figures.
Commonly acknowledged measures of central tendency include mean, median, and mode.
The mode denotes the value that appears most often in a data set. Therefore, the modal value is statistically suitable as a representative of the entire group of values or data points.
If Annabelle measures the sides of 15 right triangles and concludes that the sum of the squares of the two legs is equal to the square of the hypotenuse for any right triangle, she is identifying the most frequently occurring value, and in her analysis, the most common data observed aligns with the Pythagorean Theorem.
This is why Annabelle's assumption is made with confidence.
