(x-h)^2+(y-k)^2=r^2
(x-0)^2+(y+2)^2=9^2
x^2+y^2+4+4y=81
x^2+y^2+4y-81+4=0
x^2+y^2+4y-77=0
Answer:
Lower limit = 0.76
Upper limit = 0.84
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 350
Number of drivers that buckle = 280
Formula:


The standard deviation for sp =

95% Confidence Interval:


Putting the values, we get,

Lower limit = 0.76
Upper limit = 0.84
Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are

Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:

We also know that the area is

And the area can be written as product of length and width, therefore:

So we find:

Solving for x,

Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are

Answer: $37.50
Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)
Answer:
False
Step-by-step explanation:
0.15/10 equals 0.015