Answer:
230.9 ft
Step-by-step explanation:
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2
In ∆ABC, BC = AB/√3 ≈ 115.47 ft
In ∆ABD, BD = AB√3 ≈ 346.41 ft
Then the length CD is ...
346.41 ft -115.47 ft = 230.94 ft
The distance CD is about 230.9 ft.
Answer:
the number doesnt represent an integer?
A. 3
B. 20.1
C. -10
D. 20/4
Step-by-step explanation:
We call integers the “counting numbers, their negatives and zero”. I.e. 0,1,−1,2,−2,3,−3,.. etc.
non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.
Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.
Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g. 345.232… and −243.13242240… where there are “infinitely many” digits at the end. Note that 2.5 is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.
To summirize, your answer is the following:
“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.
Examples of “reals which are not integers”: 1.5,2.88,1.3333… etc
the answer is
B. 20.1








I'm not the best at writing, but I can try. so here's an idea:you can have as your scenario something like "On a vase shaped like a rectangular prism is a flower. Knowing that the stem of the flower is the diagonal of the prism, the diagonal of the base is 18 and the sinus of the angle between the stem and the diagonal(of the base) is 4/5, find the stem's length and the height of the vase"
Answer:
- There is no significant evidence that p1 is different than p2 at 0.01 significance level.
- 99% confidence interval for p1-p2 is -0.171 ±0.237 that is (−0.408, 0.066)
Step-by-step explanation:
Let p1 be the proportion of the common attribute in population1
And p2 be the proportion of the same common attribute in population2
: p1-p2=0
: p1-p2≠0
Test statistic can be found using the equation:
where
- p1 is the sample proportion of the common attribute in population1 (
)
- p2 is the sample proportion of the common attribute in population2 (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the people from population1 (30)
- n2 is the sample size of the people from population2 (1900)
Then 
≈ 2.03
p-value of the test statistic is 0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.
99% confidence interval estimate for p1-p2 can be calculated using the equation
p1-p2±
where
- z is the z-statistic for the 99% confidence (2.58)
Thus 99% confidence interval is
0.533-0.704±
≈ -0.171 ±0.237 that is (−0.408, 0.066)
