Answer:
<h2>
3x = 18</h2>
Step-by-step explanation:
Use the Pythagorean Theorem here:
30² = (3x)² + (4x)², or:
30² = 9x² + 16x² = 25x²
Taking the square root of both sides, we get √(30)² = √(25x²), or:
30 = ± 5x
Neglect -5x, since we are measuring distances, and distances are positive.
Then 5x = 30, and so x = 6
Thus, 3x = 3(6) = 18
Answer:
The probability is 2.2%
Step-by-step explanation:
The probability that a randomly selected adult uses the telephone in classes is always equal to 0.48.
If x represents the number of adults selected from among the 8 that the telephone uses in classes, then x is a discrete random variable that follows a binomial distribution, with:
p = 0.48
q = 0.52
n = 8
We want to find the probability of x = 5

The probability is 2.2%
Answer:
Step-by-step explanation:
1 year has 375 days so times that by 3 its is 1125.
6 months have 187.5 days or 187 days and 12 hours.
so 1125:187.5 which is 6.
The ratio is 6:1
Answer:
m>8
Step-by-step explanation:
The first step will be to distribute the 2, so that the equation becomes 2m + 6 + 1 > 23.
From here we should combine like terms, which just means adding 6 and 1, so that the equation is now 2m+7>23. Now, we just subtract 7 on both sides, which brings leave us with 2m > 16.
Lastly dividing by 2 on both sides, the answer is m>8
Answer:
<u>46.77 cm</u>
Step-by-step explanation:
Perimeter of the semicircle = Circumference + 2r
- πr + 2r = r (π + 2)
- 9.1 (3.14 + 2)
- 9.1 (5.14)
- <u>46.77 cm</u>