Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to
sq. units.
Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.
B and d say the same thing, but the answer is x2+y2=169
24 23/100 hope this helped
Answer:
z-statistic
Step-by-step explanation:
We have to identify the correct test statistic to use with the given conditions.
- If the sample size is larger than 30, then the sample is considered to be large.
- We are given a sample size of 51, which is a a large sample.
- Also, the population standard deviation is known.
- Thus, we use the z-statistic when testing a hypothesis about a single mean.
- Formula:
where 
is the sample mean, 
is the population mean, 
is the population standard deviation and n is the sample size.
