Answer: 25 and 33
Step-by-step explanation:
17+8= 25
25+8= 33
33+8= 41
X= 65
Explanation:
Simplify both sides of equations
3(x)+7)(2)+8=440
6x+42+8=440 (Distribute)
(6x)+(42+8)=440
(Combine Like Terms)
Step 2: subtract 50 from each side
6x+50−50=440-50 6x=390
Step 3: Divide both sides by 6
6x/6 = 390/6
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
Answer:
x = 72
Step-by-step explanation:
36 - x = -36
*subtract 36 from both sides*
-x = -72
*divide by -1*
x = 72
Answer:
the probability that a randomly selected South African man is taller than 72 inches is 0.2266
Step-by-step explanation:
The heights of South African men are Normally distributed with a mean of 69 inches and a standard deviation of 4 inches
population mean(m) = 69 inches
population standard deviation(s) = 4 inches
Therefore, the number of standard deviation above mean (z score) = (x - m)/s
In this case, x = 72 inches
z score = (72 - 69)/4 = 3/4 = 0.75
Probability that a randomly selected South African man is taller than 72 inches P(x>72) = 1 - P(x<72) = 1 - z(0.75) using the z table,
P(x>72) = 1 - 0.77337 = 0.2266
therefore, the probability that a randomly selected South African man is taller than 72 inches is 0.2266
