Ok since your given two points of (-5,2) and origin which is always (0,0) you can find the slope with this formula of y2-y1/x2-x1 plug them in the formula and you should get 0-2/0-5 which is equal to -2/-5 or 2/5 negative signs cancel out now you found your slope but remember the promblem was asking for perpendicular slope to get this you simply flip or reciprocate the slope and take take the opposite sign in our case the slope is 2/5 but the perpendicular version is -5/2 hope this helps.
Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )

E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1
Answer:
xy²z³
Step-by-step explanation:
An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.
x is repeated once, so will appear without an exponent
y is repeated twice, so will have an exponent of 2
z is repeated 3 times, so will have an exponent of 3
__
xyyzzz = xy²z³
_____
In plain text, an exponent is indicated with a caret (^).
xy^2z^3
Answer: 7
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
6a+3−3=45−3
6a=42
Step 2: Divide both sides by 6.
6a
/6
=
42
/6