Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
Ruby wants to <u>start</u> her own <u>business</u> taking photographs. She has to <u>purchase</u>
- photo printer for $251.99;
- lights for $150.00;
- photo paper for $30.98.
In total, she will use
$251.99 + $150.00 + $30.98 = $432.97.
If she has $840.32 in savings, then
$840.32 - $432.97 = $407.35 will remain.
Answer: she will use $432.97 - correct answer A
Answer: P’ (5,10) , Q’ (-5,10) , R’ ( 0,-15)
Step-by-step explanation:
Just multiply 2.5 by the x,y
Answer:
Step-by-step explanation:
The best option is for the consultant to remove these data points because they are outliers. Unusual data points which are located far from rest of the data points are known as outliers.
Answer:
C. JKM is not a right triangle because KM ≠ 15.3.
Step-by-step explanation:
We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.
In order to triangle JKM be a right triangle 
.
We will find length of side KM using our right triangles JLM and JLK as 
.
Using Pythagorean theorem in triangle JLM we will get,
Now let us find length of side KL.
Now let us find length of KM by adding lengths of KL and LM.
Now let us find whether JKM is right triangle or not using Pythagorean theorem.
Upon taking square root of both sides of equation we will get,
We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.
