Answer:
(x + 1)^2 + (y - 2)^2 = 3^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is
(x + 1)^2 + (y - 2)^2 = 3^2 = 9.
Answer:
Biconditional statements do not use the key words 'if' and 'then. ' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if. ' For example, the statement will take this form: (hypothesis) if and only if (conclusion).
Step-by-step explanation:
Answer:
0.15866.
Step-by-step explanation:
We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. We are asked to find the probability that the sample mean is greater than $66,000.
First of all, we will find the z-score corresponding to 66,000 using z-score formula.




Now, we need to find the probability that z-score is greater than 1 that is
.
Upon using formula
, we will get:

Upon using normal distribution table, we will get:


Therefore, the probability that the sample mean is greater than $66,000 would be 0.15866 or approximately
.
Answer:
7 pots of coffee (If you want to be precise its 6 2/3)
Step-by-step explanation:
So basically you need 10 cups of coffe in fifteen minutes, so 60/15=4 then time 10. so 40 is how much coffee you need in a hour, but we are solving the pot so 40/6= 6 2/3. but it says how many pots so we round it up so its 7. (Unless you wanna be precise)
Answer: To find the area of the shaded region
:
Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.
Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)