Answer: Stratified Random Sampling
Step-by-step explanation: Got it right
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Step-by-step explanation:
![{2}^{2} + {x}^{2} = {6}^{2} \\ 4 + {x}^{2} = 36 \\ {x}^{2} = 36 - 4 \\ {x}^{2} = 32 \\ x = \sqrt{32}](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B6%7D%5E%7B2%7D%20%20%5C%5C%204%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%2036%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%3D%2036%20-%204%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%2032%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B32%7D%20)
The "compound amount" formula is A = P(1+r/n)^(nt),
where P=original investment, r=interest rate as a decimal fraction; n=number of compounding periods, and t=number of years.
Then A = $12000 * (1+0.08/2)^(2*11)
= $12000(1.04)^(22) = $28,439.03 (answer)
Answer:
14 Striped and 10 Flowered
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,
g + h = 24 and
15g + 13h = 340
g = 24 - h
15(24 - h) + 13h = 340
360 - 15h + 13h = 340
2h = 20
h = 10
g = 24 - h
g = 24 - 10
= 14