Answer:
A(-7,2)
Step-by-step explanation:
Answer:
56.96°
Step-by-step explanation:
The set up will give a right angles triangle where;
The height of the sky scraper = hypotenuse side = 396m
The length of the shadow will be the opposite = 332m
According to the SOH trig identity
sin theta = opp/hyp
sin theta = 332/396
sin theta = 0.8383
theta = arcsin 0.8383
theta = 56.96°
Hence the sun is at 56.96° above the horizon
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that 
You randomly select 15 students
This means that 
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is

In which

In which






0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Answer: m=44
Step-by-step explanation:
1/2m-3/4n = 16
1/2m-3/4(8) = 16
1/2m-24/4 = 16
1/2m-6 = 16
1/2m = 22
m=44