Answer:
or 210°
Step-by-step explanation:
Answer: 

Step-by-step explanation:
Let x represents the number of red roses and y represents the number of white roses.
Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.
i.e. the required inequality for this statement will be :-
No. of red roses +No. of white roses ≥ 12
i.e. 
Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.
i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35
i.e. 
Now, From (1) and (2) the system of inequalities represents the situation :


Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer: (a)0.8145
(b) 0.99951875
Step-by-step explanation:
Binomial probability formula to find the probability of getting success in x trials :-
, where n is the total number of trials and p is the probability of success in each trial.
Given : The probability that the electronic production line yields satisfactory parts =0.95
The number of parts tested = 4
(a) The probability that all parts tested are satisfactory:-

(b) The probability that at least two parts are satisfactory :-
