Answer:

Step-by-step explanation:
∠1 = ∠2
∠3 = ∠4
∠JKN = ∠1 + ∠2 = 8x + 2
∠MKN = ∠3
∠MKL = ∠4 = 3x + 5
So, ∠3 = 3x + 5

Answer:
Maggie is 13 years old.
Step-by-step explanation:
Maggie's age is: x
Maggie's brother's age is: 2x - 3
The sum of the ages = 36
x + 2x - 3 = 36
3x - 3 = 36
3x = 39
x = 13
Answer: Maggie is 13 years old.
The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.
a.) The mean is given by:

The standard deviation is given by:

b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.
c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>
Answer: $638.40
Step-by-step explanation:
45% converted to a decimal is 0.45
0.45 of $1200 = 0.45* $1200 (of in this case means multiply)
0.45 * $1200= $440
Because they said 11% of remaining salary, we have to do:
$1200-$440=$760
Now 11% converted to a decimal is 0.11
5% converted to a decimal is 0.05
So 0.11+0.05
0.11+0.05= 0.16
Now 0.16 *$760=$121.60
Now we find the remaining amount so we subtract: $760-$121.60= $638.40
So our answer is $638.40 left