Answer:
Standard form: 
Center: 
Radius: 
Step-by-step explanation:
The equation of a circle in the standard form is
Where the point (h, k) is the center of the circle
To transform this equation 
this equation in the standard form we use the method of square.
First, we group similar variables
Divide both sides of equality by 4
Now we complete square for variable x.
Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:
Now add 
on both sides of the equality
Factor the expression and simplify the independent terms
Then
and the center is
radius
2659 Dollars its pretty simple all you have to do is 2931-362 and then you get 2659
Answer:
165 mL
Step-by-step explanation:
Density is mass divided by volume:
D = M / V
Solving for volume:
V = M / D
The density is given in g/mL. So first let's convert the mass from kg to g:
2.25 kg × (1000 g / kg) = 2250 g
Plugging in values:
V = (2250 g) / (13.6 g/mL)
V = 165.4 mL
Rounded to 3 significant figures, the volume is 165 mL.
Answer:
The proportion of temperatures that lie within the given limits are 10.24%
Step-by-step explanation:
Solution:-
- Let X be a random variable that denotes the average city temperatures in the month of August.
- The random variable X is normally distributed with parameters:
mean ( u ) = 21.25
standard deviation ( σ ) = 2
- Express the distribution of X:
X ~ Norm ( u , σ^2 )
X ~ Norm ( 21.25 , 2^2 )
- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :
P ( 23.71 < X < 26.17 )
- We will standardize our limits i.e compute the Z-score values:
P ( (x1 - u) / σ < Z < (x2 - u) / σ )
P ( (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2 )
P ( 1.23 < Z < 2.46 ).
- Now use the standard normal distribution tables:
P ( 1.23 < Z < 2.46 ) = 0.1024
- The proportion of temperatures that lie within the given limits are 10.24%
Answer : The correct answer is, -13000 g
Explanation :
Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.
The rule apply for the multiplication and division is :
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
The given expression is:
As we know that,
True value means, the rounding off the number. So,
Therefore, the correct answer is, -13000 g
