Answer:
x= 12 units.
Step-by-step explanation:
To solve this equation, we can find each half of the base using the Pythagorean theorem. We will use 'x' as denoting each HALF of the base:
45= 3²+x²
Subtracting from both sides will give us:
36= x²
x=6.
However, the base in this problem is '2x' because 'x' is HALF of the base.
2(6)= 12 units.
Answer:
A sample of at least 545 adults is needed.
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:

The margin of error is:
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
If he wishes to be 95% confident that his estimate contains the population proportion, how large a sample will be necessary?
We need a sample of at least n.
n is found when M = 0.03. So




Rounding up
A sample of at least 545 adults is needed.
Yes Those Answers Are Correct
Answer: The card is worth $21.58
Step-by-step explanation:
2002-1996=6 so its 6 years apart.
2.37 times 6= 14.22
7.36+14.22=21.58
Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
- The slope of new line m = 2
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)

y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is: