Answer:
1/6
Step-by-step explanation:
sequence should be 1/6,1/3,1/2,2/3
common difference=1/3-1/6=2/6-1/6=1/6
or 1/2-1/3=(3-2)/6=1/6
or c.d.=2/3-1/2=(4-3)/6=1/6
Answer:
c. 130
Step-by-step explanation:
Let call B the quantity of voters who voted yes for both propositions.
From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:
R+B=2(S+B)
Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.
Replacing R by 750 and S by 310 and solving for B, we get:
750+B=2(310+B)
750+B=620+2B
2B-B=750-620
B=130
So, 130 voters voted yes for both propositions
Answer:
u cannot factor it not possible
Step-by-step explanation:
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.
For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625
Correct answer: D
