Find a similarity ratio is the ratio of perimeter's for to regular pentagons with areas of 16 cm Square and 49 cm Square
1 answer:
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First graph it
#1
Maximum height is the y coordinate of vertex
- (2,144)
Max height
- 144m
#2
Time is the x coordinate of vertex
- 2s
#3
- y is 0
x intercepts are the solutions
- (-1,0)U(5,0)
Take it positive
- t=5s
#4
put in function
- y=-16(1)+64+80=-16+144=128ft
Answer:
the positive slope of the asymptote = 5
Step-by-step explanation:
Given that:
Using the standard form of the equation:
where:
(h,k) are the center of the hyperbola.
and the y term is in front of the x term indicating that the hyperbola opens up and down.
a = distance that indicates how far above and below of the center the vertices of the hyperbola are.
For the above standard equation; the equation for the asymptote is:
where;
is the slope
From above;
(h,k) = 11, 100
= 100
a =
a = 10
b =
b = 2
y = 5x-53 , -5x -57
Since we are to find the positive slope of the asymptote: we have
to be the slope in the equation
=
= 5
Thus, the positive slope of the asymptote = 5
Answer:
A. <u>Normal</u>
B. <u>30.1</u>, <u>32.9</u>
C. <u>95</u>, <u>5</u>
Step-by-step explanation:
A. The sampling distribution follows a <u>normal</u> distribution
Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem
B. The 95% confidence interval is given as follows;
The number of residents in the study, n = 120 residents
The sample mean, = 31.5 pounds
The standard deviation, s = 7.8 pounds
The z-value for 95% confidence level, z = 1.96
Therefore, we get;
C.I. = 31.5 ± 1.96 × 7.8/√(120)
The 95% C.I. ≈ 30.1 ≤ ≤ 32.9
Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between <u>30.1</u> and <u>32.9</u>
C. Therefore, according to the central limit theorem, about <u>95</u> percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about <u>5</u> percent will not contain the true population mean number of pounds of trash generated per person per week.