Answer:
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Answer:
C)16
Step-by-step explanation:
assuming the rhombus is named ABCD and E is where the diagonals meet.
Rhombus is a quadrilateral in which
- All sides are equal
- Opposite internal angles are equal
- Diagonals bisect each other at right angles
As rhombus is ABCD , AC is a diagonal which is bisected by E (According to the properties of Rhombus)
therefore AC will be twice of AE which is given to be 8
⇒ Answer is 16
Answer: 0.000007638035
Step-by-step explanation:
We can use the formula for compound interest to solve this.
Now, the formula goes thus:
A = P ( 1 + r/n)^nt
Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.
From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.
Now, we substitute these into the formula
1912.41 = P ( 1 + 2.63) ^ 15
1912.41 = P ( 3.63) ^ 15
1912.41 = P ( 250,379,850)
P = 1912.41 ÷ 250,379,850
P = 0.000007638035
Looks pretty funny an answer right?
set up an equation for this. x will be the score of the losing team. x+2x=96. Then solve for x. 3x=96. x=96/3 x=32. So the losing team got 32 points and the winning team got 64
Step-by-step explanation:
first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).
the blue colored area is the area of the whole square minus the area of the circle.
the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.
so, the area of the square is
24² = 576 units²
the are of the circle is
pi×r² = pi×12² = 144pi units²
so, the blue area is
576 - 144pi = 123.6106579... ≈ 124 units²
therefore, D is the right answer.
