Answer:
It seems like the question is not complete. So, I will asume that the complete question is: " A bomb is to be dropped along a mile-long line that stretches across a practice target. The target center is at the midpoint of the line. The target will be destroyed if the bomb falls within a tenth of a mile on either side of the center. Find the Probability that the target is destroyed if the bomb falls randomly along the line."
Step-by-step explanation:
The total of possible cases is the length of the line = 1 mi ;
The favourable cases are the two lengths of 0.1 mi = 0.2 mi ;
Assuming the bomb has no bias for any point ,
the probability of favourable cases' occurrence is 0.2/1 = 0.2
The domain of a function is the set of input or argument values for in which the function is real and defined. This is the definition of Domain. The function,y=x2+4x, has no undefined points or domain constraints. Therefore, the domain is - ∞ < x < ∞. (∞=infinity symbol)
Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
<em><u>Solution:</u></em>
<em><u>Given inequality is:</u></em>
We have to solve the given inequality
Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign
<em><u>Thus the solution to inequality is:</u></em>
Answer:
By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.
