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Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.
Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10
60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4
5 is 7 less than 12, and 60 is their least common multiple.
Answer: 5 and 12
2^n = 1/8
Try each one of the options in turn
The question marks are negatives right?
Answer:
The probability that two of them
die is 0.257
Step-by-step explanation:
From the question, we have that the mortality rate is 0.1
So the probability that they will survive is 1-0.1 = 0.9
Now, we want to check that two will die
We are going you use the Bernoulli approximation of the Binomial theorem as follows
= nCr * p^n * q^(n-r)
where n = 16
r = 2
P = 0.1
q = 0.9
Substituting these values;
14 C 2 * 0.1^2 * 0.9^12
= 0.257
Answer:
Step-by-step explanation:
Stephen uses 
kilograms of tofu in each serving of his dish.
He has 
kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
Stephen can make .
