Answer:
The error E = ± 4.04 %
Step-by-step explanation:
Solution:-
- The sample data is used to estimate the population proportion ( p ).
- The success p^ = success percentage = 40 %
- The confidence interval CI = 98%
- The sample size n = 800
- The margin of error E:
- The margin of error "E" for estimation of population proportion ( p ) is given by:
Where, Z-critical value is defined by the significance level:
P ( Z < Z-critical ) = α / 2
Where, α : Significance level
α = 1 - CI
P ( Z < Z-critical ) = (1 - 0.98) / 2
P ( Z < Z-critical ) = 0.01
Z-critical = 2.33
- The error E of estimation is:
- The error E = ± 4.04 %
Answer:
The answer is 3 people.
Step-by-step explanation:
$37.50 ÷ 3= $12.50 per person
Answer:
The original price of the laptop is 840
Step-by-step explanation:
Here, we want to calculate the original price of a laptop, given the amount that was paid off and the discount percentage enjoyed.
Firstly, let’s add back the 50 taken off. That makes a total of 50 + 664 = 714
Now, we remember he was also given 15% off. Let the price paid be x;
The 15% of x is equal the difference between x and the 714
Thus;
15/100 * x = x - 714
15x/100 = (x-714)
15x = 100(x-714)
15x = 100x -71400
100x-15x = 71400
85x = 71400
x = 71400/85
x = 840
Answer: x > 5
Explanation: First we want to look at our variable and ask ourselves what's happening to it. Since 2 is being subtracted from 9x, we always undo addition and subtraction first so we add 2 to both sides.
That gives us 9x > 45.
Now we need to undo multiplication and division. Since 9 is being multiplied by <em>x</em>, to get <em>x</em> by itself, we need to divide by 9 on the left side of the inequality. If we divide by 9 on the left side, we must also divide by 9 on the right side.
This leaves us with <em>x > 5</em> which is the solution to this inequality.
