Answer:
The margin of error for the survey is 0.016
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1024
Sample proportion:
We have to find the margin of error associated with a 90% Confidence interval.
Formula for margin of error:
Putting the values, we get:
Thus, the margin of error for the survey is 0.016
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
Answer:
<em> Linear model
</em>
The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000
Step-by-step explanation:
Given:
Enrico deposited $2000 in a savings account.
Each month he will deposit additional $25.
This shows that the rate at which the amount is increasing each month is constant.
Therefore, the model will be linear with a slope 25.
So , if x represents the number of months.
and f(x) represents the corresponding amount in the account.
Then the function f(x) is given by: f(x)=25x+2000
Answer:
6.104 m
Step-by-step explanation:
The length of the bench is 30.52 m.
5 people want to sit down on the bench.
We assume they are seated with equal spacing between themselves.
The length occupied by each person will therefore be:
30.52 / 5 = 6.104 m
= 16 * 10^13
which in scientific notation is 1.6 * 10^14
