Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Compound interest:
where
is the amount you start with,
is the interest rate,
is the number of times interest is compounded per year, and
is amount of time that passes.
Liam can conclude that the cost of the memberships for both gyms are equal.
Answer:
0.956
Step-by-step explanation:
X is the random variable representing the number of successes in the experiment in question;
X is represented by a binomial distribution with 5 trials and 0.18 probability of success, X~B (5, 0.18);
The probability of r successes, P(X=r), is found using the formula shown in second pic;
Working is shown in the other pic.
Answer:
No
Explanation:
Cube A surface area is : 2x2x6 (because there are 6 faces) = 24
Cube B surface area is 4x4x6 = 96
The surface area of the cube B isn't the twice of cube A's surface area
Now the volumes :
Cube A volume is 2x2x2 = 8
Cube B volume is 4x4x4= 64
Cube B's volume isn't the twice of cube A's volume
