Answer:
Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:
where
So,
Answer: 40,320
Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!
<u>Answer-
</u>
<em>A. More churches lead to more crimes. </em>
<u>Solution-</u>
Properties of Correlation Coefficient,
1- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
2- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
Here,there is a positive correlation between the number of churches and the city’s crime rate. So as the number of churches increase, the crime rate also gets increased.
Answer:
-3
Step-by-step explanation:
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77
Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44
Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
