Answer:
steps below
Step-by-step explanation:
√576 = √64*9 = √(2)⁶*(3)² = 2³*3 = 24
√15876 = √4*81*49 = √2²*3⁴*7² = 2*3²*7 = 126
2 x length + 2 x width = perimeter.
2(2s-5) + 2(4s-13) = 108
Simplify:
4s-10 + 8s-26 = 108
Combine like terms:
12s - 36 = 108
Add 36 to both sides:
12s = 144
Divide both sides by 12:
s = 144/12
s = 12
Now replace s with 12 in each equation:
2(12) - 5 = 24-5 = 19
4(12) - 13 = 48-13 = 35
The answer is d. 35,35, 19,19
Let's consider the scenario after each year:
After the zeroth year, the population is: 120 000(1 + 0.04)⁰
After the first year, the population is: 120 000(1 + 0.04)¹
After the second year, the population is: 120 000(1 + 0.04)²
...
Thus, we can find the general rule:
After the nth year, the population is: 120 000(1 + 0.04)ⁿ
And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)
Answer:
(a) mean = 377.5ml. standard deviation = 4.33
(b) 0.333
(c) 384.25 ml
Step-by-step explanation:
(a)The mean:
The standard deviation:
(b)
(c)P(x > m) = 0.95
So the volumn of shampoo should be 384.25ml to exceed 95% of containers.
First you have to convert the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).
Example 1/4 + 1/2
The LCM of 2 and 4 = 4 so we can write 1/2 as 1*2/2*2 = 2/4.
Now we can add:-
1/4 + 2/4 = 3/4.
Same thing goes for subtraction.
Example 2:-
5/6 - 1/7 :-
LCM of 6 and 7 = 6*7 = 42 so we have:-
5*7 / 6*7 - 1*6 / 7*6
= 35/42 - 6/42 = 29/42
