Answer:
x = 17
Step-by-step explanation:
To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.
3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.
3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.
x - 12 = 5 Add 12 to both sides of the equation.
x = 17
Answer:
5
Step-by-step explanation:
5 is greater than 1 because it is further to the right from zero on the number line
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
61,239,550
Step-by-step explanation:
We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;
Pr( X>140)
The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314
From a population of 6,575,000,000 the number of geniuses would be;
6,575,000,000*0.009314 = 61,239,550