Answer:
32.14
Step-by-step explanation:
it is a right triangle
so Pythagorean Theory is a^2 + b^2 = c^2
a and b are the legs of the right triangle
c is the hypotenuse
15.3^2 + b^2 = 35.6^2
234.09 + b^2 = 1267.36
1267.36 - 234.09 = 1033.27
1033.27 ^1/2 (square root) = 32.14
Answer:
y=2x^2−16x+30
Step-by-step explanation:
PLSSSSSSS BRAINLIEST
The line has equation
where 
is any real number. 
is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.
To get the symmetric form, we have
Solving for in each equation gives the symmetric form,
The line has intercepts in the coordinate planes wherever either the 
, 
, or 
coordinate is 0.
-plane:
-plane:
-plane:
Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
