X^2 + y^2 -2y-11=0
x^2 + y^2 -2y=11
x^2 + y^2 -2y + ? = 11 + ?
x^2 + y^2 -2y + 1 = 11 + ?
x^2 + y^2 -2y + 1 = 11 + 1
x^2 + (y-1)^2 = 12
Solution: Circle
Answer:
35 tickets at $35, 72 tickets at $25
Step-by-step explanation:
x+y=107 -> 5x+5y=535
45x+25y=3375
simplify, divide by 5 to get
9x+5y=675
Substract
9x+5y=675
- 5x+5y=535
4x=140 -> x=35
y=107-35 = 72
Answer: the radius is 2.61 cm
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 156 cm³
Height = 7.3 cm
Therefore,
156 = 3.14 × r² × 7.3
156 = 22.922r²
r² = 156/22.922 = 6.81
Taking square root of both sides of the equation, it becomes
r = 2.61 cm
Answer:
C.
Step-by-step explanation:
(6^7)^3 means (6^7)(6^7)(6^7).
When multiply numbers with same base, add the exponents.
6^(7+7+7)=6^(3*7)=6^(21).
In the beginning you could have just multiply 7 and 3 so the answer is 6^(21).
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is

Generally p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50