Answer:
See below.
Step-by-step explanation:
f(3) means the y-coordinate of the point that has x-coordinate 3.
To find f(3) using a graph of f(x).
Look up x = 3 on the x axis. If the function passes through that point on the x-axis, then f(3) is 0. If the function does not pass through that point, then go up or down till you intersect the function. Draw a horizontal segment left to the y-axis and read the point on the y-axis that the horizontal segment intersects. That is what f(3) is equal to.
To do this, you need to divide 15,480 by 36. If you do this, then you will get your answer. The answer is $430 per payment
Shortest to tallest: Plant A, Plant B, Plant C.
Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall
Order from shortest to tallest.
First we need to get the least common multiple of the three fractions.
Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18
Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.
Plant A: 1/3 * 4/4 = 4/12
Plant B: 3/4 * 3/3 = 9/12
Plant C: 5/6 * 2/2 = 10/12
Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest.
4 is less than 9 and 9 is less than 10.
so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
Answer:
They now should survey 800 people.
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 
.
The margin of error is:
In this problem:
Same level of confidence, so same z
Same proportion, so same
We have to change n
We want to reduce the margin of error by half.
M is inverse proportion to the square root of n. That is, as n increases, M decreases.
We want to decrese M by half. So we need to increase n by a factor of 2^2 = 4
The first survey had a sample of 200 people
Increasing by a factor of 4.
200*4 = 800
They now should survey 800 people.
Answer:
31 is the missing angle
Step-by-step explanation:
Right Angle = 90 degrees
90 - 59 = 31 degress
