75 time because the proabablity of rolling any number each time is 1/10 so 250/10=25 the mutiples of 3 in 1-10 are 3,6,9 so 3*25 =75 tmes
Answer: 5 gallons
Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1
The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)
N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success = 60% or 6 of 10.
From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
= 210*0.2⁶*0.8⁴ = 0.0055
Answer: 0.0055
Answer:
x=-7/9
y = 12/9
Step-by-step explanation:
6x + 2y = -2
3x - 2y = -5
9x = -7 (-2y and +2y eliminated)
x = -7/9
if 3x -2y = -5 then
3 ×(-7/9) -2y =-5➡
-21/9 -2y = -5➡
-2y = -5 + 21/9
-2y = -24/9
