Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
___
The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
Answer:
x=4
Step-by-step explanation:
3x-3=9
+3=+3
3x=12
3x=12
divide both sides by 3
leaving x by itself
12/3=4
x=4
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is 
.
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =
Let slope of LG be <em>n</em>, then
[Product of slopes of two perpendicular line =-1]
Equation of a line passes through (a,b) and have slope m is given by :-
Equation of LG :
[In intercept form]
You would plug in the y=9 into the first equation and then have the expression 9=9x-9
. After going through the first steps of solving an expression you would get 18=9x. X=2. Then you would plug in the x value into the first expression to get y=9.
Answer:
-10°F, -13°F, and -21°F
Step-by-step explanation:
we are looking for a temperature that is less than -8
-10°F, -13°F, and -21°F are all less than -8
