Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:
Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:
60 students were in the sample.
Answer:
$3.94
Step-by-step explanation:
You will need to use the compound interest formula for this.
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
= 3.94
{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.
{-4x+7y+5=-5
{y=5/3 Substitute the value of y.
-4x+7(5/3)+5=-5 Plug in and solve.
x=65/12 You should get this answer.
Therefore: (x,y) = (65/12,5/3)
Answer:
The amount of water to be added is ¹/₄ gallon
Step-by-step explanation:
Given;
amount of pure antifreeze at 100% = 1 gallon
let the amount of water to be added with 0% antifreeze = (x) gallon
then, the amount of mixture at 80% antifreeze = (x + 1) gallon
For conservation of mass, we will have the following equation;
(1 x 1) + (0)(x) = 0.8(x +1)
1 = 0.8x + 0.8
0.8x = 1 - 0.8
0.8x = 0.2
x = 0.2 / 0.8
x = ²/₈
x = ¹/₄ gallon
Therefore, the amount of water to be added is ¹/₄ gallon
If y=14 when x=8 find y when x=12
48/7 is your answer. Hope I helped :)
