Noah has 75 marbles. Noah has more marbles. this is because 34 times 3 is equal to 102. since michelle takes 9 marbles from EACH box, 9 times 3 is 27. 102 minus 27 is 75
2x + 4 = 3x - 10
-2x and +10 to both sides
14 = x
the answer is x = 14
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, = 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
- y-intercept = 100
- x- intercept = -5.26
Step-by-step explanation:
- $100 initial membership fee
- $19 monthly fee
<u>Function of relationship:</u>
<u>y- intercept:</u>
- x =0 ⇒ y = 19*0 + 100 ⇒ y = 100
<u>x - intercept:</u>
- y = 0 ⇒ 0 = 19x + 100 ⇒ 19x = -100 ⇒ x = -100/19 ⇒ x = -5.26
